{"title":"Mathematical \/ Computational \/ Theoretical physics Books","description":"","products":[{"product_id":"general-relativity-9780141999869","title":"General Relativity","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eThe latest volume in \u003ci\u003eThe New York Times \u003c\/i\u003ebestselling physics series explains Einstein''s masterpiece: the general theory of relativity\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eHe taught us classical mechanics, quantum mechanics and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, André Cabannes, returns to tackle Einstein''s general theory of relativity. Starting from the equivalence principle and covering the necessary mathematics of Riemannian spaces and tensor calculus, Susskind and Cabannes explain the link between gravity and geometry. They delve into black holes, establish Einstein field equations and solve them to describe gravity waves. The authors provide vivid explanations that, to borrow a phrase from Einstein himself, are as simple as possible (but no simpler).\u003cbr\u003e\u003cbr\u003eAn approachable yet rigorous introduction to one of the most important topics in physics, \u003ci\u003eGeneral Relativity\u003c\/i\u003e is a must-read for anyone who wants a deeper knowledge of the universe''s real structure.\u003c\/p\u003e","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48732517794135,"sku":"9780141999869","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141999869.jpg?v=1719997233"},{"product_id":"quantum-computing-from-alice-to-bob-9780192857989","title":"Quantum Computing From Alice to Bob","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eQuantum Computing: From Alice to Bob provides a distinctive and accessible introduction to the rapidly growing fields of quantum information science and quantum computing. The textbook is designed for undergraduate students and upper-level secondary school students with little or no background in physics, computer science, or mathematics beyond secondary school algebra and a bit of trigonometry. Higher education faculty members and secondary school mathematics, physics, and computer science educators who want to learn about quantum computing and perhaps teach a course accessible to students with wide ranging backgrounds will also find the book useful and enjoyable. While broadly accessible, the textbook does not dodge providing a solid conceptual and formal understanding of quantum states and entanglement - the key ingredients in quantum computing. The authors dish up a hearty meal for the readers, disentangling and explaining many of the classic quantum algorithms that demonstrate how and when QC has an advantage over classical computers. The book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eWhile broadly accessible, the textbook does not dodge providing a solid conceptual and formal understanding of quantum states and entanglement - the key ingredients in quantum computing. The authors dish up a hearty meal for the readers, disentangling and explaining many of the classic quantum algorithms that demonstrate how and when QC has an advantage over classical computers. The book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts. * zb Math Open *\u003cbr\u003eThis is a refreshing, pedagogical, and timely overview of quantum computing for non-experts, by two well-qualified authors. * Shimon Kolkowitz, University of Wisconsin-Madison *\u003cbr\u003eThis is a much needed bridge between popular and technical texts that provides easy access to the topic of quantum computing for curious readers who aim to go further and deeper in their understanding. * Dieter Jaksch, University of Oxford *\u003cbr\u003eThe reader gets to avoid the complexity of technical quantum-computing books, yet gets more depth and rigor than in the popular writing on the topic...the book is written in a very conversational rather than academic tone. * Bogdan Hoanca, University of Alaska Anchorage *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Introduction 2: Traditional Computing 3: Traditional Bits in New Clothes 4: Qubits and Quantum States 5: Quantum Measurements 6: Quantum Gates 7: Putting a Spin on Spin 8: My Basis, Your Basis 9: Multi-qubit Systems, Entanglement, and Quantum Weirdness 10: Quantum Circuits and Multi-qubit Applications 11: Quantum Computing Algorithms 12: More Quantum Algorithms 13: RSA Encryption and the Shor Factoring Algorithm 14: Fundamental Quantum Issues 15: Complexifying Quantum States 16: Present and Future QIS and QC","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732600926551,"sku":"9780192857989","price":33.72,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780192857989.jpg?v=1719997598"},{"product_id":"quantum-computing-from-alice-to-bob-9780192857972","title":"Quantum Computing From Alice to Bob","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eA distinctive and accessible introduction to quantum information science and quantum computing, this textbook provides a solid conceptual and formal understanding of quantum states and entanglement for undergraduate students and upper-level secondary school students with little or no background in physics, computer science, or mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eWhile broadly accessible, the textbook does not dodge providing a solid conceptual and formal understanding of quantum states and entanglement - the key ingredients in quantum computing. The authors dish up a hearty meal for the readers, disentangling and explaining many of the classic quantum algorithms that demonstrate how and when QC has an advantage over classical computers. The book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts. * zb Math Open *\u003cbr\u003eThis is a refreshing, pedagogical, and timely overview of quantum computing for non-experts, by two well-qualified authors. * Shimon Kolkowitz, University of Wisconsin-Madison *\u003cbr\u003eThis is a much needed bridge between popular and technical texts that provides easy access to the topic of quantum computing for curious readers who aim to go further and deeper in their understanding. * Dieter Jaksch, University of Oxford *\u003cbr\u003eThe reader gets to avoid the complexity of technical quantum-computing books, yet gets more depth and rigor than in the popular writing on the topic...the book is written in a very conversational rather than academic tone. * Bogdan Hoanca, University of Alaska Anchorage *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Introduction 2: Traditional Computing 3: Traditional Bits in New Clothes 4: Qubits and Quantum States 5: Quantum Measurements 6: Quantum Gates 7: Putting a Spin on Spin 8: My Basis, Your Basis 9: Multi-qubit Systems, Entanglement, and Quantum Weirdness 10: Quantum Circuits and Multi-qubit Applications 11: Quantum Computing Algorithms 12: More Quantum Algorithms 13: RSA Encryption and the Shor Factoring Algorithm 14: Fundamental Quantum Issues 15: Complexifying Quantum States 16: Present and Future QIS and QC","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732601057623,"sku":"9780192857972","price":67.45,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780192857972.jpg?v=1719997597"},{"product_id":"mathematical-physics-with-differential-equations-9780192872623","title":"Mathematical Physics with Differential Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis textbook uses insight from differential equations to analyse fundamental subjects of modern theoretical physics, including classical and quantum mechanics, thermodynamics, electromagnetism, superconductivity, gravitational physics, and quantum field theories.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface Notation and Convention 1: Hamiltonian Systems and Applications 2: Schrödinger Equation and Quantum Mechanics 3: Maxwell Equations, Dirac Monopole, and Gauge Fields 4: Special Relativity 5: Abelian Gauge Field Equations 6: Dirac Equations 7: GinzburgDSLandau Equations for Superconductivity 8: Magnetic Vortices in Abelian Higgs Theory 9: Non-Abelian Gauge Field Equations 10: Einstein Equations and Related Topics 11: Charged Vortices and ChernDSSimons Equations 12: Skyrme Model and Related Topics 13: Strings and Branes 14: BornDSInfeld Theory of Electromagnetism 15: Canonical Quantization of Fields Appendices Bibliography Index","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732608463191,"sku":"9780192872623","price":38.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780192872623.jpg?v=1719997631"},{"product_id":"lagrangian-and-hamiltonian-dynamics-9780198822387","title":"Lagrangian and Hamiltonian Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The book provides a comprehensive and self-contained treatment of the subject matter up to the forefront of research in multiple areas.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I: Newtonian Mechanics 1: Introduction 2: Newton's Three Laws 3: Energy and Work 4: Introductory Rotational Dynamics 5: The Harmonic Oscillator 6: Wave Mechanics \u0026amp; Elements of Mathematical Physics Part II: Langrangian Mechanics 7: Introduction 8: Coordinates \u0026amp; Constraints 9: The Stationary Action Principle 10: Constrained Langrangian Mechanics 11: Point Transformations in Langrangian Mechanics 12: The Jacobi Energy Function 13: Symmetries \u0026amp; Langrangian-Hamiltonian-Jacobi Theory 14: Near-Equilibrium Oscillations 15: Virtual Work \u0026amp; d'Alembert's Principle Part III: Canonical Mechanics 16: Introduction 17: The Hamiltonian \u0026amp; Phase Space 18: Hamiltonian's equations \u0026amp; Routhian Reduction 19: Poisson Brackets \u0026amp; Angular momentum 20: Canonical \u0026amp; Gauge Transformations 21: Hamilton-Jacobi Theory 22: Liouville's Theorem \u0026amp; Classical Statistical Mechanics 23: Constrained Hamiltonian Dynamics 24: Autonomous Geometrical Mehcanics 25: The Structure of Phase Space 26: Near-Integrable Systems Part IV: Classical Field Theory 27: Introduction 28: Langrangian Field Theory 29: Hamiltonian Field Theory 30: Clssical Electromagnetism 31: Neother's Theorem for Fields 32: Classical Path-Integrals Part V: Preliminary Mathematics 33: The (Not so?) Basics 34: Matrices 35: Partial Differentiation 36: Legendre Transformations 37: Vector Calculus 38: Differential equations 39: Calculus of Variations Part VI: Advanced Mathematics 40: Linear Algebra 41: Differential Geometry Part VII: Exam Style Questions Appendix A: Noether's Theorem Explored Appendix B: The Action Principle Explored Appendix C: Useful Relations Appendxi D: Poisson \u0026amp; Nambu Brackets Explored Appendix: Canonical Transformations Explored Appendix F: Action-Angle Variables Explored Appendix G: Statistical Mechanics Explored Appendix H: Biographies","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732797108567,"sku":"9780198822387","price":39.42,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198822387.jpg?v=1719998439"},{"product_id":"introduction-to-dynamical-wave-function-collapse-9780198901372","title":"Introduction to Dynamical Wave Function Collapse","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eQuantum theory (QT) is the best, most useful physics theory ever invented. For example, ubiquitous are cell phones, laser scanners, medical imagers, all inventions depending on QT. However, there is something deeply wrong with QT. It describes the probabilities of what happens, but it does not give a description of what actually happens. Most (but not all) physicists are not worried about this flaw, the probabilities are good enough for them. Other physicists, the author included, believe that is not good enough. The purpose of physics is to describe reality. To not do so is to abandon ''the great enterprise'' (John Bell). This book shows one way to alter QT so that the new theory does describe what actually happens. This theory, created over three decades ago, has been called the ''Continuous Spontaneous Localization'' (CSL) theory.Many experiments over this period have tested CSL, and so far it is neither confirmed nor refuted. This book shows how CSL works, and discusses its consequ\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eA most welcome addition to the physics literature written with extreme care and covering the objective subject matter in a thorough professional and methodical manner. * Daniel Sudarsky, UNAM, Mexico City *\u003cbr\u003eA book of very high quality presenting a way of modifying quantum mechanics to remove some of its most serious problems (especially the measurement problem). * Kelvin McQueen, Chapman University, Orange, California *\u003cbr\u003ePearle is the master of this material and writes with beautiful clarity and well-judged occasional witticisms and side-remarks. His experience as teacher, as well as researcher, shows in the vivid explanations, and the careful and consistent level of detail in the exposition. * Jeremy Butterfield, University of Cambridge *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Introduction 2: Continuous Spontaneous Localization (CSL) Theory 3: CSL Theory Refinements 4: Non-Relativistic CSL 5: Spontaneous Localization (SL) Theory 6: Some Experiments Testing CSL 7: Interpretational Remarks 8: Supplement to Chapter 1 9: Supplement to Chapter 2 10: Supplement to Chapter 3 11: Supplement to Chapter 4 12: Supplement to Chapter 5 13: Supplement to Chapter 6 14: Supplement to Chapter 7 15: A Stochastic Differential Equation Cookbook 16: CSL Expressed as a Schrodinger Stochastic DE 17: Applying the CSL Stratonovich Equation to the Free Particle Undergoing Collapse in Position 18: Applying the CSL Stratonovich Equation to the Harmonic Oscillator Undergoing Collapse in Position Appendix A: Gaussians Appendix B: Random Walk Appendix C: Brownian Motion\/Wiener Process Appendix D: White Noise Appendix E: White Noise Field Appendix F: Density Matrix Appendix G: Theoretical Constraint Calculations","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732829614423,"sku":"9780198901372","price":42.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198901372.jpg?v=1719998580"},{"product_id":"measurements-and-their-uncertainties-9780199566334","title":"Measurements and Their Uncertainties","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis short guide to modern error analysis is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed. The necessary concepts are introduced where needed and illustrated graphically. The book emphasises the use of computers for error calculations and data fitting.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eWith the shift from analytic methods to spreadsheet-based techniques, this book will enable students simultaneously to (a) become fluent in the choice and application of appropriate methods (b) understand the underlying principles. * David Saxon, University of Glasgow *\u003cbr\u003eThis is a rather beautiful little book. * David J. Hand, International Statistical Review *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Errors in the physical sciences ; 2. Random errors in measurement ; 3. Uncertainties as probabilities ; 4. Error propagation ; 5. Data visualisation and reduction ; 6. Least-squares fitting of complex functions ; 7. Computer minimisation and the error matrix ; 8. Hypothesis testing - how good are our models ; 9. Topics for further summary","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732865921367,"sku":"9780199566334","price":26.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"the-nature-of-complex-networks-9780199695119","title":"The Nature of Complex Networks","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe Nature of Complex Networks provides a systematic introduction to the statistical mechanics of complex networks and the different theoretical achievements in the field that are now finding strands in common.The book presents a wide range of networks and the processes taking place on them, including recently developed directions, methods, and techniques. It assumes a statistical mechanics view of random networks based on the concept of statistical ensembles but also features the approaches and methods of modern random graph theory and their overlaps with statistical physics.This book will appeal to graduate students and researchers in the fields of statistical physics, complex systems, graph theory, applied mathematics, and theoretical epidemiology.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThe current volume by Dorogovtsev and Mendes takes quite a broad view of complex networks to include the analysis of finite and infinite graphs, directed and undirected graphs, multigraphs, hypergraphs, and even simplicial complexes, as networks scale according to increasing N or in some other fashion. The writing style is that of physics and especially statistical mechanics with frequent connections made to physical concepts such as Bose-Einstein condensation...The current volume can especially serve as a useful reference on complex networks from a physics perspective. * Lenwood S. Heath, MathSciNet *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface 1: First insight 2: Graphs 3: Classical random graphs 4: Equilibrium networks 5: Evolving networks 6: Connected components 7: Epidemics and spreading phenomena 8: Networks of networks 9: Spectra and communities 10: Walks and search 11: Temporal networks 12: Cooperative systems on networks 13: Inference and reconstruction 14: What's next? Further Reading Appendices A-G References","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732888170839,"sku":"9780199695119","price":89.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780199695119.jpg?v=1719998821"},{"product_id":"conformal-field-theory-graduate-texts-in-contemporary-physics-9780387947853","title":"Conformal Field Theory Graduate Texts in","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIntended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction; 2. Quantum Field Theory; 3. Statistical Mechanics; 4. Global Conformal Invariance; 5. Conformal Invariance in Two Dimensions; 6. The Operator Formalism I; 7. The Operator Formalism II; 8. Minimal Models; 9. The Coulomb Gas Formalism; 10. Modular Invariance; 11. Finite Size Scaling; 12. The Two-Dimensional Ising Model; 13. Simple Lie Algebras; 14. Affine Lie Algebras; 15. The WZNW Model; 16. Fusion Rules; 17. Modular Invariants; 18. The Coset Construction","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733726867799,"sku":"9780387947853","price":125.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387947853.jpg?v=1720001407"},{"product_id":"mathematical-methods-of-classical-mechanics-9780387968902","title":"Mathematical Methods of Classical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eI Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov's theorem.- Appendix 9 Poincaré's geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eSecond Edition\u003c\/p\u003e \u003cp\u003eV.I. Arnol’d\u003c\/p\u003e \u003cp\u003e\u003cem\u003eMathematical Methods of Classical Mechanics\u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e\u003cem\u003e\"The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview.\" \u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e—AMERICAN MATHEMATICAL MONTHLY\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov’s theorem.- Appendix 9 Poincaré’s geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733727752535,"sku":"9780387968902","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"advanced-mathematical-methods-for-scientists-and-engineers-i-9780387989310","title":"Advanced Mathematical Methods for Scientists and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eI Fundamentals.- 1 Ordinary Differential Equations.- 2 Difference Equations.- II Local Analysis.- 3 Approximate Solution of Linear Differential Equations.- 4 Approximate Solution of Nonlinear Differential Equations.- 5 Approximate Solution of Difference Equations.- 6 Asymptotic Expansion of Integrals.- III Perturbation Methods.- 7 Perturbation Series.- 8 Summation of Series.- IV Global Analysis.- 9 Boundary Layer Theory.- 10 WKB Theory.- 11 Multiple-Scale Analysis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"This book is a reprint of the original published by McGraw-Hill \\ref [MR0538168 (80d:00030)]. The only changes are the addition of the Roman numeral I to the title and the provision of a subtitle, \"Asymptotic methods and perturbation theory\". This latter improvement is much needed, as the original title suggested that this was a teaching book for undergraduate scientists and engineers. It is not, but is an excellent introduction to asymptotic and perturbation methods for master's degree students or beginning research students. Certain parts of it could be used for a course in asymptotics for final year undergraduates in applied mathematics or mathematical physics. \u003cbr\u003e\u003cbr\u003eThis is a book that has stood the test of time and I cannot but endorse the remarks of the original reviewer. It is written in a fresh and lively style and the many graphs and tables, comparing the results of exact and approximate methods, were in advance of its time. I have owned a copy of the original for over twenty years, using it on a regular basis, and, after the original had gone out of print, lending it to my research students. Springer-Verlag has done a great service to users of, and researchers in, asymptotics and perturbation theory by reprinting this classic.\"  (A.D. Wood, Mathematical Reviews) \u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI Preface. 1 Ordinary Differential Equations. 2 Difference Equations. 3 Approximate Solution of Linear Differential Equations. 4 Approximate Solution of Nonlinear Equations. 5 Approximate Solution of Difference Equations. 6 Asymptotic Expansion of Integrals. 7 Perturbation Series. 8 Summation of Series. 9 Boundary Layer Theory. 10 WKB Theory. 11 Multiple Scales Analysis. Appendix, References, Index","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733728375127,"sku":"9780387989310","price":59.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387989310.jpg?v=1720001411"},{"product_id":"the-green-function-method-in-statistical-mechanics-dover-books-on-physics-9780486797151","title":"The Green Function Method in Statistical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48733804200279,"sku":"9780486797151","price":15.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486797151.jpg?v=1720001763"},{"product_id":"essential-statistical-physics-9781108480789","title":"Essential Statistical Physics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis clear and pedagogical text delivers a concise overview of classical and quantum statistical physics. Essential Statistical Physics shows students how to relate the macroscopic properties of physical systems to their microscopic degrees of freedom, preparing them for graduate courses in areas such as biophysics, condensed matter physics, atomic physics and statistical mechanics. Topics covered include the microcanonical, canonical, and grand canonical ensembles, Liouville''s Theorem, Kinetic Theory, non-interacting Fermi and Bose systems and phase transitions, and the Ising model. Detailed steps are given in mathematical derivations, allowing students to quickly develop a deep understanding of statistical techniques. End-of-chapter problems reinforce key concepts and introduce more advanced applications, and appendices provide a detailed review of thermodynamics and related mathematical results. This succinct book offers a fresh and intuitive approach to one of the most challenging\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'At last a textbook that contains all the required elements for a modern advanced undergraduate course on statistical physics: foundations, quantum statistical mechanics, phase transitions and dynamics. I particularly like the derivation of ensembles through maximization of Gibbs entropy and the Langevin description of Brownian motion. Plenty of instructive problems within ten digestible chapters make this a text I can recommend to my students.' Martin Evans, University of Edinburgh\u003cbr\u003e'Statistical mechanics is a vast and fascinating topic, sometimes intimidating beginning students. Kennett succeeds in delivering an agile, fresh and modern exposition of the essential ideas and methods, in addition to a well-thought selection of examples and applications borrowed from all branches of physics. Students and teachers alike will enjoy the carefully organized table of contents for self-study and lecture preparation.' Roberto Raimondi, Roma Tre University\u003cbr\u003e'This book incorporates, into a single course, ideas and theoretical techniques in statistical physics and quantum mechanics that are connected by the physical phenomena they are meant to describe. Yet they are rarely all found in the same text. Professor Kennett offers students of theoretical physics a rare opportunity to acquire a mature understanding of their impact and meaning.' Herbert Fertig, Indiana University, Bloomington\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; 1. Introduction; 2. The microcanonical ensemble; 3. Liouville's theorem; 4. The canonical ensemble; 5. Kinetic theory; 6. The grand canonical ensemble; 7. Quantum statistical mechanics; 8. Fermions; 9. Bosons; 10. Phase transitions and order; Appendix A Gaussian integrals and stirling's formula; Appendix B Primer on thermal physics; Appendix C Heat capacity cusp in Bose systems; References; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738306654551,"sku":"9781108480789","price":32.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781108480789.jpg?v=1723811912"},{"product_id":"quantum-field-theory-9781108480901","title":"Quantum Field Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory.Beginning with a review of basic principles, starting with quantum mechanics and special relativity, students can refresh their knowledge of elementary aspects of quantum field theory and perturbative calculations in the Standard Model. Results and tools relevant to many applications are covered, including canonical quantization, path integrals, non-Abelian gauge theories, and the renormalization group. Advanced topics are explored, with detail given on effective field theories, quantum anomalies, stable extended field configurations, lattice field theory, and field theory at a finite temperature or in the strong field regime. Two chapters are dedicated to new methods for calculating scattering amplitudes (spinor-helicity, on-shell recursion, and generalized unitarity), equipping students with practical skills for research. Acces\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'Quantum Field Theory: From Basics to Modern Topics, by François Gelis, is a very welcome addition to the canon of literature on quantum field theory, impressive both in its breadth and depth.  It covers, in a succinct fashion, foundational material in the subject and then treats many more modern developments: effective field theories, anomaly matching, recursion relations for gauge and gravitational amplitudes, strong fields, and more.' Laurence Yaffe, University of Washington\u003cbr\u003e'Though there are many books on quantum field theory, I have found this book valuable for its readable treatment of a diverse selection of modern topics from a uniform viewpoint. Subjects introduced well in this book that are hard to find elsewhere include Schwinger-Keldysh and finite-temperature field theory, modern tools for scattering amplitudes, worldline methods, as well as effective field theory. The discussion is illustrated with a rich set of examples, mainly from high energy physics.' John McGreevy, University of California, San Diego\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; 1. Basics of quantum field theory; 2. Peturbation theory; 3. Quantum electrodynamics; 4. Spontaneous symmetry breaking; 5. Functional quantization; 6. Path integrals for fermions and photons; 7. Non-Abelian gauge symmetry; 8. Quantization of Yang–Mills theory; 9. Renormalization of gauge theories; 10. Renormalization group; 11. Effective field theories; 12. Quantum anomalies; 13. Localized field configurations; 14. Modern tools for tree amplitudes; 15. Wordline formalism; 16. Lattice field theory; 17. Quantum field theory at finite temperature; 18. Strong fields and semi-classical methods; 19. From trees to loops; Further reading; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738306752855,"sku":"9781108480901","price":47.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781108480901.jpg?v=1723811912"},{"product_id":"quantum-field-theory-9781108486217","title":"Quantum Field Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eQuantum field theory (QFT), the language of particle physics, is crucial to a physicist''s graduate education. Based on lecture notes for courses taught for many years at Radboud University in the Netherlands, this book presents an alternative approach to teaching QFT using Feynman diagrams. A diagrammatic approach to understanding QFT exposes young physicists to an orthogonal introduction to the theory, bringing new ways to understand challenges in the field. Diagrammatic techniques using Feynman diagrams are used didactically, starting from simple discussions in lower dimensions to more complex topics in the Standard Model. Worked examples and exercises, for which solutions are available online, help the reader develop a deep understanding and intuition that enhances their problem-solving skills and understanding of QFT. Classroom-tested, this accessible book is valuable resource for graduate students and researchers.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'Highly recommended.' E. Kincanon, Choice Magazine\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface. 1. QFT in zero dimensions; 2. Loop expansion and the effective action; 3. On renormalization; 4. More fields in zero dimensions; 5. QFT in Euclidean spaces; 6. QFT in Minkowski space; 7. Scattering processes; 8. Introduction to loop calculations; 9. More on renormalization; 10. Dirac particles; 11. Helicity techniques for Dirac particles; 12. Vector particles; 13. Quantum electrodynamics; 14. Higher-order effects in QED; 15. Quantum chromodynamics; 16. Higher-order effects in QCD; 17. Electroweak theory; 18. More example computations; Appendices.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738309505367,"sku":"9781108486217","price":56.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"introduction-to-quantum-field-theory-9781108470902","title":"Introduction to Quantum Field Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis textbook offers a detailed and self-contained presentation of quantum field theory, suitable for advanced undergraduate and graduate level courses. The author provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. A fully worked solutions manual is available online for instructors.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'This new and very welcome introduction to quantum field theory takes the reader from the basics of classical physics and the beauty of group theory to the intricacies and elegance of gauge field theories. Students and researchers alike will treasure this fresh approach to one of the foundation stones of modern physics.' Thomas Appelquist, Yale University\u003cbr\u003e'I wish this text had been available the last time I taught quantum field theory. The author provides clear, detailed expositions, which serve students with diverse backgrounds for multiple course syllabi.' Steve Gottlieb, Indiana University\u003cbr\u003e'The rigorous and logical approach makes this text certainly one to be seriously considered for use in a quantum field theory course. In any case, it is one which practitioners will definitely want to have within easy reach on their bookshelf.' Barry Holstein, University of Massachusetts Amherst\u003cbr\u003e'Both as an introductory text and as an excellent single-volume compendium on quantum field theory, this book is highly recommended for students as well as practitioners at all levels.' Wolfram Weise, Technical University of Munich\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Lorentz and Poincare Invariance; 2. Classical Mechanics; 3. Relativistic Classical Fields; 4. Relativistic Quantum Mechanics; 5. Introduction to Particle Physics; 6. Formulation of Quantum Field Theory; 7. Interacting Quantum Field Theories; 8. Symmetries and Renormalization; 9. Nonabelian Gauge Theories.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738311504215,"sku":"9781108470902","price":66.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781108470902.jpg?v=1723811916"},{"product_id":"a-first-course-in-general-relativity-9781108492676","title":"A First Course in General Relativity","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eUpdating one of the most widely used introductory textbooks on Einstein's general relativity, this third edition includes the latest updates on gravitational waves, black holes, and cosmology. It introduces the science of relativity to final-year undergraduates and graduate students, requiring only a minimal background in mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003ePraise for the second edition: 'Bernard Schutz's textbook A First Course in General Relativity quickly became a classic, notable for its use of the geometrical approach to the subject, combined with a refreshing succinctness. Since its first publication in 1985, the field of general relativity has exploded … Schutz has done a masterful job of incorporating these new developments into a revised edition, which is sure to become a new 'classic'.' Clifford M. Will, McDonnell Center for the Space Sciences, Washington University, St. Louis\u003cbr\u003ePraise for the second edition: 'This new edition retains all of the original's clarity and insight into the mathematical foundations of general relativity, but thoroughly updates the accounts of the application of the theory in astrophysics and cosmology. The result is an indispensable volume and this new edition will no doubt become a classic text in its own right.' Mike Hobson, Cavendish Laboratory, University of Cambridge\u003cbr\u003ePraise for the second edition: 'Schutz has updated his eminently readable and eminently teachable A First Course in General Relativity. This text will be appreciated by any upper-level undergraduate with an interest in cosmology, astrophysics, or experimentation in gravitational physics.' Richard Matzner, The Center for Relativity, University of Texas at Austin\u003cbr\u003ePraise for the second edition: ' … marvellous … very clear … I cannot recommend this book highly enough to any physicist who wants a good introduction to general relativity.' David Burton, The Observatory\u003cbr\u003ePraise for the first edition: 'Schutz has such mastery of the material that it soon becomes clear that one is in authoritative hands, and topics are selected and developed only to a point where they prove adequate for future needs.' The Times Higher Education Supplement\u003cbr\u003ePraise for the first edition: '… ought to inspire more physicists and astronomers to teach and learn the other half of the twentieth century's revolution in physics.' Foundations of Physics\u003cbr\u003ePraise for the first edition: 'The book is a goldmine of cleverly constructed problems and exercises (and solutions!).' Nature\u003cbr\u003ePraise for the first edition: '… provides the first step into general relativity for undergraduate students with a minimal background in mathematics.' Zentralblatt MATH\u003cbr\u003e'Several generations of students have benefitted from the first two editions of Professor Bernard Schutz' beautiful introductory textbook on tensor algebra, manifolds, physics in curved space times, and Einstein's field equations. Why another edition now? The answer is that, in the last years, precision measurements of stellar orbits around the central massive black hole in the Galactic Center, the detection of gravitational waves from in-spiraling binary black holes and neutron stars with LIGO, and the detection of the central 'radio wave shadow' of the supermassive black hole in the galaxy M87 have suddenly opened the magical world of strongly curved spacetime to precision experimental tests. These experiments and much more to come from ground- and space-based gravitational wave studies have started a renaissance of interest in Einstein's theory.' Reinhard Genzel, Max Planck Institute for Extraterrestrial Physics\u003cbr\u003e'Students and teachers of general relativity will welcome this new edition of Schutz' hugely popular text, significantly broadened to cover the astonishing discoveries of gravitational-wave astronomy and their implications. A pioneer of the geometrical approach to undergraduate-level teaching of GR, the book remains unmatched in its highly readable style. With vim and authority, Schutz leads his readers masterfully from mathematical foundations to the forefront of research in astronomy and cosmology, providing them with the tools to understand future discoveries. With this new edition, Schutz' classic text remains as fresh and relevant as ever.' Leor Barack, University of Southampton\u003cbr\u003e'An outstanding textbook on general relativity written with the author's customary clarity and in his engaging style. It includes not only the basics of general relativity, but also recent developments in the direct detection of gravitational waves. A clear exposition of the essential ideas and methods.' Rong-Gen Cai, Chinese Academy of Sciences\u003cbr\u003e'Professor Schutz' informal style bewitches the reader into absorbing profound and complex concepts effortlessly. Physics is explained in a lucid style with minimal mathematics, without compromising on rigour. The recent excitement in the field of gravitational waves and its implications for astronomy and cosmology is adeptly conveyed. This edition has been enriched with several more exercises which the student or the young researcher will find illuminating and instructive.' Sanjeev Dhurandhar, Inter University Centre for Astronomy and Astrophysics\u003cbr\u003e'When I first taught from this book in the 1980s, my students and I loved it for its unusual combination of clarity and brevity. This third edition is not quite as brief because so much has happened in the subject! But for an all-around text with clear writing and an engaging style, it is still top of the class.' Clifford Will, University of Florida\u003cbr\u003e'A First Course in General Relativity by Bernard Schutz is an outstanding introductory text on Einstein's theory of general relativity and offers an invaluable resource for students interested in understanding the formal and physical foundations of modern spacetime theory.' Karim Thebault, University of Bristol\u003cbr\u003e'As with its previous editions, this textbook provides a fantastically accessible introduction to the key physical concepts of general relativity and the formalism used by its practitioners. The third edition gives a much-needed update accounting for discoveries since the previous edition, with the chapters on gravitational waves in particular serving as outstanding tutorials for students who are interested in astronomical applications of this subject.' Scott Hughes, Massachusetts Institute of Technology\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface to the third edition page; Preface to the second edition; Preface to the first edition; 1. Special relativity; 2. Vector analysis in special relativity; 3. Tensor analysis in special relativity; 4. Perfect fluids in special relativity; 5. Preface to curvature; 6. Curved manifolds; 7. Physics in a curved spacetime; 8. The Einstein field equations; 9. Fundamentals of Gravitational Radiation; 10. Spherical solutions for stars; 11. Schwarzschild geometry and black holes; 12. Gravitational wave astronomy; 13. Cosmology; Appendix A. Summary of linear algebra; References; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738313109847,"sku":"9781108492676","price":47.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781108492676.jpg?v=1723811921"},{"product_id":"foundations-of-modern-physics-9781108841764","title":"Foundations of Modern Physics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn addition to his ground-breaking research, Nobel Laureate Steven Weinberg is known for a series of highly praised texts on various aspects of physics, combining exceptional physical insight with his gift for clear exposition. Describing the foundations of modern physics in their historical context and with some new derivations, Weinberg introduces topics ranging from early applications of atomic theory through thermodynamics, statistical mechanics, transport theory, special relativity, quantum mechanics, nuclear physics, and quantum field theory. This volume provides the basis for advanced undergraduate and graduate physics courses as well as being a handy introduction to aspects of modern physics for working scientists.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'By using the notion of fundamental constituents as the guiding historical and theoretical principle, Weinberg manages to lay the foundations of diverse disciplines (hydrodynamics, statistical mechanics, kinetic theory, thermodynamics, special relativity, quantum mechanics and even field theory) in less than 300 pages.' CERN Courier, Opinion Reviews\u003cbr\u003e'Whereas many textbooks forgo historical notes, Weinberg delights the reader by adding terse yet apt context to the physical concepts he introduces … It is as if he is imagining what students might be puzzled by and then solves those problems … everyone will want to have Foundations of Modern Physics on their bookshelf. There is always something new to be found in it, and - similar to having a conversation about physics with Weinberg - there is never a dull moment when reading it.' Melissa Franklin, Physics Today\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; 1. Early atomic theory; 2. Thermodynamics and kinetic theory; 3. Early quantum theory; 4. Relativity; 5. Quantum mechanics; 6. Nuclear physics; 7. Quantum field theory: assorted problems; Bibliography; Author index; Subject index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738343518551,"sku":"9781108841764","price":35.14,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781108841764.jpg?v=1723811951"},{"product_id":"constrained-willmore-surfaces-9781108794428","title":"Constrained Willmore Surfaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFrom Bäcklund to Darboux, this monograph presents a comprehensive journey through the transformation theory of constrained Willmore surfaces, a topic of great importance in modern differential geometry and, in particular, in the field of integrable systems in Riemannian geometry. The first book on this topic, it discusses in detail a spectral deformation, Bäcklund transformations and Darboux transformations, and proves that all these transformations preserve the existence of a conserved quantity, defining, in particular, transformations within the class of constant mean curvature surfaces in 3-dimensional space-forms, with, furthermore, preservation of both the space-form and the mean curvature, and bridging the gap between different approaches to the subject, classical and modern. Clearly written with extensive references, chapter introductions and self-contained accounts of the core topics, it is suitable for newcomers to the theory of constrained Wilmore surfaces. Many detailed comp\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction; 1. A bundle approach to conformal surfaces in space-forms; 2. The mean curvature sphere congruence; 3. Surfaces under change of flat metric connection; 4. Willmore surfaces; 5. The Euler–Lagrange constrained Willmore surface equation; 6. Transformations of generalized harmonic bundles and constrained Willmore surfaces; 7. Constrained Willmore surfaces with a conserved quantity; 8. Constrained Willmore surfaces and the isothermic surface condition; 9. The special case of surfaces in 4-space; Appendix A. Hopf differential and umbilics; Appendix B. Twisted vs. untwisted Bäcklund transformation parameters; References; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738537800023,"sku":"9781108794428","price":55.09,"currency_code":"GBP","in_stock":true}]},{"product_id":"advanced-mathematical-methods-for-scientists-and-engineers-i-9781441931870","title":"Advanced Mathematical Methods for Scientists and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eI Fundamentals.- 1 Ordinary Differential Equations.- 2 Difference Equations.- II Local Analysis.- 3 Approximate Solution of Linear Differential Equations.- 4 Approximate Solution of Nonlinear Differential Equations.- 5 Approximate Solution of Difference Equations.- 6 Asymptotic Expansion of Integrals.- III Perturbation Methods.- 7 Perturbation Series.- 8 Summation of Series.- IV Global Analysis.- 9 Boundary Layer Theory.- 10 WKB Theory.- 11 Multiple-Scale Analysis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"This book is a reprint of the original published by McGraw-Hill \\ref [MR0538168 (80d:00030)]. The only changes are the addition of the Roman numeral I to the title and the provision of a subtitle, \"Asymptotic methods and perturbation theory\". This latter improvement is much needed, as the original title suggested that this was a teaching book for undergraduate scientists and engineers. It is not, but is an excellent introduction to asymptotic and perturbation methods for master's degree students or beginning research students. Certain parts of it could be used for a course in asymptotics for final year undergraduates in applied mathematics or mathematical physics. \u003cbr\u003e\u003cbr\u003eThis is a book that has stood the test of time and I cannot but endorse the remarks of the original reviewer. It is written in a fresh and lively style and the many graphs and tables, comparing the results of exact and approximate methods, were in advance of its time. I have owned a copy of the original for over twenty years, using it on a regular basis, and, after the original had gone out of print, lending it to my research students. Springer-Verlag has done a great service to users of, and researchers in, asymptotics and perturbation theory by reprinting this classic.\"  (A.D. Wood, Mathematical Reviews) \u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI Preface. 1 Ordinary Differential Equations. 2 Difference Equations. 3 Approximate Solution of Linear Differential Equations. 4 Approximate Solution of Nonlinear Equations. 5 Approximate Solution of Difference Equations. 6 Asymptotic Expansion of Integrals. 7 Perturbation Series. 8 Summation of Series. 9 Boundary Layer Theory. 10 WKB Theory. 11 Multiple Scales Analysis. Appendix, References, Index","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48739209675095,"sku":"9781441931870","price":54.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"how-to-derive-a-formula-volume-1-basic-analytical-skills-and-methods-for-physical-scientists-9781786346445","title":"How To Derive A Formula - Volume 1: Basic","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWill artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling this machinery.Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject — familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Those interested in the physical sciences could lose motivation, not seeing the wood for the trees.How to Derive a Formula is an attempt to engage these learners, presenting mathematical methods in simple terms, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigor, it teaches students from scratch using pertinent examples, many taken across the physical sciences.This book provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material.","brand":"World Scientific Europe Ltd","offers":[{"title":"Default Title","offer_id":48741447172439,"sku":"9781786346445","price":72.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781786346445.jpg?v=1720057610"},{"product_id":"mathematical-models-in-science-9781800610279","title":"Mathematical Models In Science","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eMathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modeled as the non-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarizes the development of physical applications of pure mathematics developed in the twentieth century.","brand":"World Scientific Europe Ltd","offers":[{"title":"Default Title","offer_id":48741753192791,"sku":"9781800610279","price":81.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781800610279.jpg?v=1720058691"},{"product_id":"an-introductory-path-to-quantum-theory-using-mathematics-to-understand-the-ideas-of-physics-9783030407698","title":"An Introductory Path to Quantum Theory: Using","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eSince the 17th century, physical theories have been expressed in the language of mathematical equations. This introduction to quantum theory uses that language to enable the reader to comprehend the notoriously non-intuitive ideas of quantum physics. \u003c\/p\u003e\u003cp\u003eThe mathematical knowledge needed for using this book comes from standard undergraduate mathematics courses and is described in detail in the section Prerequisites. This text is especially aimed at advanced undergraduate and graduate students of mathematics, computer science, engineering and chemistry among other disciplines, provided they have the math background even though lacking preparation in physics. In fact, no previous formal study of physics is assumed.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“The target audience is ‘advanced undergraduate mathematics students who had no or only very little prior knowledge of physics’. It would indeed be a rare variety of mathematics advanced undergraduates who would fit this bill. … an interesting supplement for students with a mathematical bent.” (Amitava Raychaudhuri, zbMATH 1458.81002, 2021)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction to this Path.- Viewpoint.- Neither Particle nor Wave.- Schrödinger's Equation.- Operators and Canonical Quantization.- The Harmonic Oscillator.- Interpreting: Mathematics.- Interpreting: Physics.- The Language of Hilbert Space.- Interpreting: Measurement.- The Hydrogen Atom.- Angular Momentum.- The Rotation Group SO(3).- Spin and SU(2).- Bosons and Fermions.- Classical and Quantum Probability.- The Heisenberg Picture.- Uncertainty (Optional).- Speaking of Quantum Theory (Optional).- Complementarity (Optional).- Axioms (Optional).- And Gravity?.- Measure Theory: A Crash Course.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743035306327,"sku":"9783030407698","price":49.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"statistical-field-theory-for-neural-networks-9783030464431","title":"Statistical Field Theory for Neural Networks","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book presents a self-contained introduction to techniques from field theory applied to stochastic and collective dynamics in neuronal networks. These powerful analytical techniques, which are well established in other fields of physics, are the basis of current developments and offer solutions to pressing open problems in theoretical neuroscience and also machine learning. They enable a systematic and quantitative understanding of the dynamics in recurrent and stochastic neuronal networks. \u003c\/p\u003e  \u003cp\u003eThis book is intended for physicists, mathematicians, and computer scientists and it is designed for self-study by researchers who want to enter the field or as the main text for a one semester course at advanced undergraduate or graduate level. The theoretical concepts presented in this book are systematically developed from the very beginning, which only requires basic knowledge of analysis and linear algebra.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI. Introduction\u003cbr\u003eII. Probabilities, moments, cumulantsA. Probabilities, observables, and momentsB. Transformation of random variablesC. CumulantsD. Connection between moments and cumulants\u003cbr\u003eIII. Gaussian distribution and Wick’s theoremA. Gaussian distributionB. Moment and cumulant generating function of a GaussianC. Wick’s theoremD. Graphical representation: Feynman diagramsE. Appendix: Self-adjoint operatorsF. Appendix: Normalization of a Gaussian\u003cbr\u003eIV. Perturbation expansionA. General caseB. Special case of a Gaussian solvable theoryC. Example: Example: “phi^3 + phi^4” theoryD. External sourcesE. Cancellation of vacuum diagramsF. Equivalence of graphical rules for n-point correlation and n-th momentG. Example: “phi^3 + phi^4” theoryV. Linked cluster theoremA. General proof of the linked cluster theoremB. Dependence on j - external sources - two complimentary viewsC. Example: Connected diagrams of the “phi^3 + phi^4” theory\u003cbr\u003eVI. Functional preliminariesA. Functional derivative1. Product rule2. Chain rule3. Special case of the chain rule: Fourier transformB. Functional Taylor series\u003cbr\u003eVII. Functional formulation of stochastic differential equationsA. Onsager-Machlup path integral*B. Martin-Siggia-Rose-De Dominicis-Janssen (MSRDJ) path integralC. Moment generating functionalD. Response function in the MSRDJ formalism\u003cbr\u003eVIII. Ornstein-Uhlenbeck process: The free Gaussian theoryA. DefinitionB. Propagators in time domainC. Propagators in Fourier domain\u003cbr\u003eIX. Perturbation theory for stochastic differential equationsA. Vanishing moments of response fieldsB. Vanishing response loopsC. Feynman rules for SDEs in time domain and frequency domainD. Diagrams with more than a single external legE. Appendix: Unitary Fourier transform\u003cbr\u003eX. Dynamic mean-field theory for random networksA. Definition of the model and generating functionalB. Property of self-averagingC. Average over the quenched disorderD. Stationary statistics: Self-consistent autocorrelation of as motion of a particle in a potentialE. Transition to chaosF. Assessing chaos by a pair of identical systemsG. Schrödinger equation for the maximum Lyapunov exponentH. Condition for transition to chaos\u003cbr\u003eXI. Vertex generating functionA. Motivating example for the expansion around a non-vanishing mean valueB. Legendre transform and definition of the vertex generating function GammaC. Perturbation expansion of GammaD. Generalized one-line irreducibilityE. ExampleF. Vertex functions in the Gaussian caseG. Example: Vertex functions of the “phi^3 + phi^4”-theoryH. Appendix: Explicit cancellation until second orderI. Appendix: Convexity of WJ. Appendix: Legendre transform of a Gaussian\u003cbr\u003eXII. Application: TAP approximationInverse problem\u003cbr\u003eXIII. Expansion of cumulants into tree diagrams of vertex functionsA. Self-energy or mass operator Sigma\u003cbr\u003eXIV. Loopwise expansion of the effective action - Tree levelA. Counting the number of loopsB. Loopwise expansion of the effective action - Higher numbers of loopsC. Example: phi^3 + phi^4-theoryD. Appendix: Equivalence of loopwise expansion and infinite resummationE. Appendix: Interpretation of Gamma as effective actionF. Loopwise expansion of self-consistency equation\u003cbr\u003eXV. Loopwise expansion in the MSRDJ formalismA. Intuitive approachB. Loopwise corrections to the effective equation of motionC. Corrections to the self-energy and self-consistencyD. Self-energy correction to the full propagatorE. Self-consistent one-loopF. Appendix: Solution by Fokker-Planck equation\u003cbr\u003eXVI. Nomenclature\u003cbr\u003eAcknowledgments\u003cbr\u003eReferences","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743036682583,"sku":"9783030464431","price":59.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"powers-of-two-the-information-universe-information-as-the-building-block-of-everything-9783030583477","title":"Powers of Two: The Information Universe —","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIs everything Information? This is a tantalizing question which emerges in modern physics, life sciences, astronomy and in today’s information and technology-driven society. In \u003cem\u003ePowers of Two\u003c\/em\u003e expert authors undertake a unique expedition - in words and images - throughout the world (and scales) of information. The story resembles, in a way, the classic\u003cem\u003e Powers of Ten\u003c\/em\u003e\u003cem\u003e \u003c\/em\u003ejourneys through space: from us to the macro and the micro worlds . However, by following \u003cem\u003ePowers of Two\u003c\/em\u003e through the world of information, a completely different and timely paradigm unfolds. Every power of two, 1, 2, 4, 8…. tells us a different  story: starting from the creation of the very first bit at the Big Bang and the evolution of life, through 50 years of computational science, and finally into deep space, describing the information in black holes and even in the entire universe and beyond….  All this to address one question: \u003cstrong\u003eIs our universe made of information? \u003c\/strong\u003e\u003cstrong\u003e \u003c\/strong\u003eIn this book, we experience the Information Universe in nature and in our society and how information lies at the very foundation of our understanding of the Universe.\u003c\/p\u003e\u003cp\u003eFrom the Foreword by Robbert Dijkgraaf:\u003c\/p\u003e\u003cp\u003e \u003cem\u003eThis book is in many ways a vastly extended version of Shannon’s one-page blueprint. It carries us all the way to the total information content of the Universe. And it bears testimony of how widespread the use of data has become in all aspects of life. Information is the connective tissue of the modern sciences. […] Undoubtedly, future generations will look back at this time, so much enthralled by Big Data and quantum computers, as beholden to the information metaphor. But that is exactly the value of this book. \u003c\/em\u003e\u003ci\u003eWith its crisp descriptions and evocative illustrations, it brings the reader into the here and now, at the very frontier of scientific research, including the excitement and promise of all the outstanding questions and future discoveries.\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eMessage for the e-reader of the book Powers of Two\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003eThe book has been designed to be read in two-page spreads in full screen mode.\u003c\/p\u003e  \u003cp\u003e  For optimal reader experience in a downloaded .pdf file we strongly recommend you use the following settings \u003cb\u003ein Adobe Acrobat Reader\u003c\/b\u003e:\u003c\/p\u003e  \u003cp\u003e      - Taskbar:  View \u0026gt; Page Display \u0026gt; two page view\u003cbr\u003e     - Taskbar:  View \u0026gt; Page Display \u0026gt; Show Cover Page in Two Page View\u003cbr\u003e     - Taskbar: ^ Preferences   \u0026gt; Full Screen \u0026gt;  deselect \" Fill screen with one page at a time\"\u003cbr\u003e     -  Taskbar: View  \u0026gt; Full screen mode or  ctrl L (cmd L on a Mac)\u003c\/p\u003e  \u003cp\u003e*****\u003c\/p\u003e  \u003cp\u003eNote: for reading the previews on \u003cb\u003eSpinger link\u003c\/b\u003e (and on-line reading in a browser), the full screen two-page view only works with these browsers:\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eFirefox\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e - Taskbar:  on top of the text, at the uppermost right you will see then \u0026gt;\u0026gt; (which is a drop-down menu)    \u0026gt;\u0026gt;\u003ci\u003e even double page\u003c\/i\u003es\u003c\/p\u003e  \u003cp\u003e - Fullscreen: F11 or Control+Cmd+F with Mac\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eEdge \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e - Taskbar middle: \u003ci\u003eTwo-page view\u003c\/i\u003e and select show cover page separately\u003c\/p\u003e\u003ci\u003e\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The book … a very unusual collection of some facts about the relationship between the immaterial world represented by bits and the real physical world described by fundamental physical equations. This book continues the very categorical point of view of J. A. Wheeler … . The book presents short articles on various areas of modern science … in which it is shown that in these areas in some mysterious way there is a connection with the theory of information.” (Vladimir Dzhunushaliev, zbMATH 1479.83004, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eForeword by Robbert DijkgraafChapter 0: IntroductionJoy-riding the Universe – by the authorWorking as an astronomer, data scientist and professor of astro-informatics for nearly fifty years, Edwin Valentijn has witnessed and first-hand engineered the dawn of the era of Big Data in science and society. Throughout his career, he became increasingly aware of the role of information in our world: in computers, in our society, and even in nature and in the Universe itself.\u003cbr\u003eThe Information UniverseFollowing the increasing powers of two, the story paints a journey through the whole world of information, both in society and in nature. Each step opens a door into a new world: from the first bits with the Big Bang and the dawn of life, going through fifty years of human technology, all the way up to the information content of the whole Universe.\u003cbr\u003eWhat is Information? - Item pageThe basics of information are introduced.\u003cbr\u003eChapter 1: The beginningSpace-time foam – Ti (0 bit: 20 =1)The very first power of two: 20, corresponds to the value one. This identifies the single, eternal, indistinguishable state: the primordial sea from which our Universe emerged – sometimes called the Space-time foam. I call this Ti, the reverse of It. This is one of the miraculous new notions in the story of the Powers of Two.\u003cbr\u003eMultiverse: Anthropic principle (Item page)From Ti, the primordial space-time foam, countless universes arise with widely different characteristics: the Multiverse. The Anthropic Principle is a philosophical consideration which states that we, people, will find ourselves in a universe that is suitable for intelligent life to emerge. Therefore, this Principle demonstrates that conditions in our Universe are not “fine-tuned” to the existence of human life and a “creator” doesn’t exist.\u003cbr\u003eBig bang (1 bit: 21 =2 states)At the Big Bang the first bit is created. From the indistinguishable unity of the primordial foam Ti, “the zeros were separated from the 1’s”: the first bit corresponds to two possible states. This bit is the first step on our journey to capture the ever-increasing complexity of our expanding Universe in terms of information, through the increasing powers of two.\u003cbr\u003eWhat is a bit? (Item page)The bit is at the core of the concept of information. A bit is any system that can have two states. Humans assign meanings to these states, which are illustrated with the concept of the traffic light: red or green, stop or go. The combination of multiple bits creates an exponentially increasing number of possible states, and hence meanings.\u003cbr\u003eMulticellular life (2 bit: 22 =4 states) \/ (4 bit: 24 =16 states)?Life started with exchanging information between cells. This is fundamental for the evolution of any kind of life. It took at least two billion years for uni-cellular to evolve into multi-cellular organisms around 600 million years ago, and to start the exchange of information between their different cells. By exchanging information, cells collaborate and act as a unified whole: life.\u003cbr\u003eThe game of life (Item page)The characteristic features of life (or any complex system in the Universe) can be created from information. A simple computer game is all you need to demonstrate this concept. A famous example is Conway's Game of Life, which is full of visuals of living, growing, moving and dying objects. This game was already made on the computers of the early 70's with just a few lines of code.\u003cbr\u003eChapter 2: People's Information UniverseASCII (7 bit: 27 =128 states)There is currently no physical theory how the digital world connects to the human consciousness. In the world of Information Technology (IT) all information exchange is based on agreements between people. For instance, ASCII, a simple list relating each letter of the alphabet to a 7-bit string, connects the digital world to the human consciousness.\u003cbr\u003e Machu Picchu (8 bit: 28 =256, 1 byte)The Intiwatana stone, a giant rock carved by the Inca's of ancient Machu Picchu in Peru, can be considered as a first 8-bit hard disk. Why so? As the sunrays lit the different surfaces of this huge rock throughout the year, it triggered the Inca's activities: sowing, harvesting, celebrating and praying.This ancient stone dissolves both the boundaries between heaven and earth, and those between the digital and natural Information Universe. In fact, the stone represents an ultimate picture of the cross-over between the in vivo and the in vitro Information Universe - a main theme of the book. In vitro being the man made technology to handle information and in vivo being the information built in nature, in this case the orbit and the light rays of the sun.\u003cbr\u003eFirst computers (16 bit: 216 =65.536, 2 byte)When computers emerged in the 1970's, astronomers first adopted them to steer their telescopes. Back then, a maximal effort to understand the mathematics of the problem was needed to squeeze the solution into the small computer memory. Nowadays, with large amounts of computing power and machine learning at their disposal, scientists and computer programmers often do the reverse.\u003cbr\u003eStar Peace vs. Star Wars (Item page)King Juan Carlos adored the harmony of galaxies as a source of inspiration for people on earth, in those days when Ronald Reagan was promoting his Star-wars programme. With this adoration in mind, in 1985, he gave an inspiring speech at the Royal inauguration of the international astronomical observatory on La Palma, Canary Islands. The inauguration was attended by, for those days, an unprecedented large crowd of European royals and government officials despite the great threat of terrorist attacks by the ETA. (the next and later spreads on facts vs fakes elucidate the relevance of this spread in the story line).\u003cbr\u003ePre-internet Facts and Fakes (Item page)“Edwin Valentijn saved the life of the Dutch Queen Beatrix by catching her just before falling off a cliff at the inauguration on La Palma”, according to the headlines in Dutch newspapers. Fake news-stories are at all times alike and can only be dispelled by tracing links of information to their source, links or associations being a fundamental property of the Information Universe. Later, I discuss the less innocent case of overdrawing attention to terrorist attacks in the past decade.\u003cbr\u003eHard disk (24 bit: 224 =1.6*107, 2 Mb)Only sixty years ago, a 5 MB hard disk weighed over five tons, and had to be loaded onto an aeroplane by using a truck. Now, we carry a thousand times more information in our trouser pocket. This demonstrates the amazing advance of information technology over the past decades. (Picture: first IBM hard disk loaded onto a plane).\u003cbr\u003eThe telephone (Item page) As a precursor of the Internet, the telephone offered many of the same advantages and dangers, and was heavily discussed at its introduction. Whether telephone or the Internet, it all revolves around communication or copying of information. The telephone, as example of it, is one of the major discoveries of the 20th century. \u003cbr\u003eDNA (32 bit: 232 = 4*109, 500 Mb) – Guest author: Charley Lineweaver The information in the DNA creates life. All base pairs of the human DNA can be stored on a 500 Mb drive. How is this information communicated? How does a cell know it has to build part of a liver and not an eye, while they all have the same DNA? Apoptosis and the role of information exchange.Where does biological Information come from? (Item page) – Guest author: Charley Lineweaver Charley Lineweaver, expert on evolutionary biology, exoplanetology and astrobiology, will expand on the role of information in the evolution of life.\u003cbr\u003eLifelines (Item page) – Guest author: Morris SwertzWhat is the role of nature versus that of nurture? A key question in modern health research. In Lifesciences, this question is addressed now using Big Data, like the astronomers who acquire huge data volumes to address the same question on the nature of galaxies. In Lifelines, a cohort of 165.000 people is studied over a period of 30 years using hospital data, blood samples and DNA scans.\u003cbr\u003eDVD (33 bit: 233 =9*109, 1 Gb)It’ s amazing how fast the digital image revolution went since 1989.30 years ago, Philips lab approached me since they had made a big discovery: it was possible to store many digital images on a CD. They were chasing me for digital images. While NASA had less than a thousand, I had 32.000 galaxy images obtained by scanning photographic plates from the European Southern Observatory – the first large digital image collection.\u003cbr\u003eHuman Brain (36 bit: 236 =7*1010, 9 Gb) – Guest author: Katrin Amunts- JulichIn the large EU human brain project, the activities of the human brain are simulated in computers. This is a very difficult mission since the transistors in computers consume 100.000 billion times more energy than the synapsis of neurons. Our brains consist of 1011 neurons, corresponding to 9 Gb of data.Thinking of Karlheinz Meier, coordinator of the Human Brain Project in Heidelberg, Katrin Amunts will author two spreads on the role of information in the human brain.\u003cbr\u003eNeuromorphic computing – Guest author: Katrin AmuntsCurrently, it takes a hundred years of a supercomputer’s time to compete with the learning power of only a single day of the human brain. “Neuromorphic computing” researchers design electronic systems inspired by the human brain, in order to make computers many times faster and more energy efficient.\u003cbr\u003eCT scan (38 bit: 238 =3*1011, 34 Gb) – Guest author: Anders YnnermanNow it is possible to look inside animal and human bodies on touchscreens. Forensic investigations on, for instance, corpses of victims can be done with touch-screen tables. You can look inside, rotate, scroll and zoom animal and human bodies using tens of gigabytes of CT scan data. Prof. Anders Ynnerman explains how he does it.\u003cbr\u003eTerabytes (45 bit: 245 =4.4*1012, 1 Tb) - The largest (astronomical) datasetsDark energy and dark matter: two mysterious constituents of our Universe. How do astronomers get and handle the data from the VLT Survey Telescope on a high mountain top in Chile to shed lights on these ‘still too dark’ topics. This Telescope surveys the sky every hour at night generating Terabytes of astronomical data.\u003cbr\u003eGravity as a lens (Item page) – Guest author: Margot BrouwerWhen light rays are bent by the gravity of a heavy object, this object acts as a lens. This effect can be used to map dark matter, which is invisible but constitutes 80% of the matter in our visible Universe. In 1915, Albert Einstein posed that gravity is equivalent to the curvature of the fabric of space and time itself, leading to the lensing effect.\u003cbr\u003eWeak gravitational lensing surveys – Guest author: Margot BrouwerTerabytes of astronomical data are reduced to a few numbers, describing how dark matter behaves and what is its true nature. https:\/\/www.youtube.com\/watch?v=ZCyYGWqCmFw\u0026amp;t=23s\u003cbr\u003eEntering the Petabyte regime (53 bit: 253 =1*1015, 1 Pb)How do we technically acquire and deal with Petabytes of data?\u003cbr\u003eDark Matter maps (Item page)A first dark matter map projected on the night sky. An ultimate encounter between the digital world of modern astronomical observations, and nature: the mysterious dark matter mapped on top of the everyday “night” stellar sky. A visualization that condenses Terabytes of astronomical data to a simple map.\u003cbr\u003eMetadata for Peta-data (62 bit: 262 =6*1017, 600 Pb)With pointers, one can connect everything in the Information Universe. Pointers are often inserted in Metadata (data about data) - an ultimate tool for dealing with Big Data. It is possible to create unique pointers to hundreds of Petabytes of data, using a string of less than 64 bits. This is what makes pointers so powerful and indispensable in current and future stages of the big data era; not only for astronomical research, but also for companies like Google, Amazon and Facebook.\u003cbr\u003eDownloading the Universe (Item page)The universe can be seen as a spreadsheet, certainly in the way we map it on our computers (in vitro), but also in nature (in vivo). Perceiving the Universe as a spreadsheet links bit to It.\u003cbr\u003eMeta data (Item page)A visualisation of the enormous complexity of data models which trace all pointers between data items. (picture: thrilling still from a full dome animation of a data model)\u003cbr\u003eFuture (astronomical) datasets (item page)While current telescopes collect astronomical datasets of Terabytes, future telescopes such as the LSST and the Euclid satellite, instead, will collect Petabytes. These enormous amounts of data need a whole new approach to data management. For the Euclid satellite my “Universe as a spreadsheet” approach has been adopted.\u003cbr\u003eThe Euclid satellite (Item page) – Guest author: Margot BrouwerEuclid is ESA’s new space mission to map the Dark Universe. At a distance of 1.5 million kilometres from Earth, this telescope will observe billions of galaxies. Its goal: to shed light on the nature of Dark Matter and Dark Energy, which make up 95% of our Universe. Dr. Margot Brouwer, Dutch scientific communication officer for Euclid, will explain more.\u003cbr\u003eThe Information Universe (Item page)The resemblance of the overall structure of the real observed Universe (in vivo) with the simulated universe (in vitro), based on the concurrent cosmological model, gave a lot of credit to the latter. When we zoom out the Universe, we see billions of galaxies forming a web-like structure. Amazingly, astronomers can now compute and simulate these structures with very large supercomputers.\u003cbr\u003eThe lost boy (Item page)Information is timeless, and knows no boundaries. It crosses over the in vivo and the in vitro Information Universe. This concept is well illustrated through daily life stories involving time. At the age of five, a boy loses sight of his older brother on a train in India, and eventually gets lost on the streets of Mumbai. Twenty years later, after being adopted by a family in Australia, he is able to find his natural mother (in vivo) through only searching on Google maps (in vitro).\u003cbr\u003eQbits (50 qbit: 250 =1.1*1015 qbit, 1 Pbit) – Guest author: Lieven VandersypenUsing fundamental particles (quanta, such as electrons) to perform calculations and build computers, is one of the most exciting cross-overs between the in vivo and the in vitro Information Universe. Prof. Lieven Vandersypen, who leads a Quantum Computing group at TU Delft in the Netherlands, will explain how this technology will change the way we compute.\u003cbr\u003eQuantum entanglement (Item page) – Guest author: Lieven VandersypenThe states of two particles can be intimately linked (entangled), no matter how far they are separated. What Einstein famously dismissed as “spooky action at a distance”, can now be established on demand at TU Delft in the Netherlands. Prof. Vandersypen will explain how his research group, for the first time ever, both create and apply this entanglement in laboratory.\u003cbr\u003eEntanglement (item page) - EVThe Square Kilometre Array (64 bit: 264 =1.3*1018, 1 Eb) – Guest author: TBAThe Square Kilometre Telescope will collect data at the rate of the global internet traffic of 2013, in its endeavour to answer fundamental questions about the origin and evolution of the Universe, and its search for extra-terrestrial life.\u003cbr\u003eCryptography (128 bit: 2128 =3.4*1038) – Guest author Tanja LangeEncrypted messages should not be decoded by adversaries, be they criminals or hostile countries. Cryptography enables secure communications and is one of the few applications which require 128-bit numbers. A guest author will explain more.\u003cbr\u003eChapter 3: Deep spaceThe Desert (128-256 bit) Theoretical physics is not progressing much in the last decennia – some call it a crisis. Likely, an observational breakthrough is out of reach: the highest man-made information density on earth is produced by the high energy accelerators at CERN. But these accelerators have to be 1013 -1015 more powerful to reach the fundamental unit of information, which is probably at the same level of the Planck length. Unfortunately, there is no way to reach this unit of information with these instruments. This enormous gap in reaching all the domains in the Information Universe is illustrated in a figure and in a very sobering, but instructive table in the Appendix.\u003cbr\u003eBlack holes (128-256 bit?) – Guest author: Manus VisserCan information disappear into a black hole? The Information paradox. Stephen Hawking wondered it and started a field in which space and time are described in terms of information. Dr. Manus Visser, expert on gravity and space-time, will explain more.\u003cbr\u003eObserving a Black Hole: Event Horizon Telescope – Guest author: Heino FalckeThe first image of a black hole. Prof. Heino Falcke, chair of the Event Horizon Telescope Science Council, will explain how information from a world-wide network of telescopes was combined using atomic clocks, to create the first ever image of a black hole. (Picture: first image of a black hole)\u003cbr\u003eCogwheels: a deeper level – Guest author: Gerard 't HooftNobel laureate ‘t Hooft explains his views on cogwheels, carrying the fundamental information in the Universe.\u003cbr\u003eGravitational waves – Guest author: Chris van den Broeck\u003cbr\u003eLinks: The Universe as a spreadsheetLinks, joins, references, URLs, blockchain, associations and even entanglement in physics are all different words for the same building block, forming the connections in the Information Universe.\u003cbr\u003eCosmic Microwave Background – Guest author: Margot BrouwerParticles of light created in the hot and dense state of the Universe after the Big Bang are still flying through the Universe today. Together, these 1077 photons contain the largest amount of information known in the Universe. This information can still be accessed through telescopes, and brings us invaluable information about the dawn of our Universe.\u003cbr\u003eEmergent Gravity – Guest author: Erik VerlindeProf. Erik Verlinde, professor of theoretical physics at the University of Amsterdam, won the Spinoza prize for his new theory explaining gravity. In his theory, all matter, space and time consist of information and are all connected by entanglement. If this theory is correct, the information content of the entire Universe is 2399. This is the highest power described in this book, and actually, in physics.\u003cbr\u003eChapter 4: It from BitOne big information processing machine – Guest author: Gerard 't Hooft (TBC)t Hooftt Hooft: : ““there is something happening at a different level of nature”there is something happening at a different level of nature”..\u003cbr\u003eOn the origin of physical information. – Guest author: Stefano Gottardi\u003cbr\u003eThe ear In the ear information is copied a dozen times!\u003cbr\u003eThe eye – on the visual perception of data- climate change. Links to - facts and fakes- the system of ScienceThe System of Science\u003cbr\u003eHow does this system work? Discussing Hegel’s system of science, logic, technology, Nature, life, physics, consciousness.\u003cbr\u003eArtificial IntelligenceThe machine learning and the data-base oriented communities are still living on different planets. I discuss and revisit Tegmark’s recent book Life 3.0 by comparing 3 crosscuts through the Information Universe: i) the classical computer centric view ii) the data centric view iii) the artificial intelligence view.\u003cbr\u003eInformation densityThe average information density of the universe can be compared to that of written text.\u003cbr\u003eBlack Body radiation On the information aspects of the third big physical breakthrough of the 20th century (next to General relativity and quantum mechanics).\u003cbr\u003eEntropyDiscussing Shannon’s work and identifying that “Information only exists in relation to its environment”. Examples will be given.\u003cbr\u003eCosmic information, cosmogenesis and dark energy by PadmanabhanCosmic information connects the cosmological constant to cosmogenesis\u003cbr\u003eIt from BitIs the Universe one big information processing machine?\u003cbr\u003eConsciousnessVery little is known about the consciousness and I refrain from addressing the consciousness per se. A relevant list of about 5 facts we do know are listed. Any view on the relation between the consciousness and the Information Universe should at least deal with this list.\u003cbr\u003eSomnium – Musician Jacco Gardner performing at DOTLiveplanetarium at Eurosonic 2019 show case music festival- Inspired by Kepler’s Somnium – directed by EV \u003cbr\u003eThe Information UniverseAn overview.\u003cbr\u003eFacts and fakesHow is all this related to the current facts and fakes issues on the Internet? How do you make sure that what you are reading is accurate and comes from a reliable source?The link between Open Science, FAIR and reliability of data.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743041139031,"sku":"9783030583477","price":42.74,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030583477.jpg?v=1720063853"},{"product_id":"luminescence-data-analysis-and-modeling-using-r-9783030673109","title":"Luminescence: Data Analysis and Modeling Using R","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e​This book covers applications of R to the general discipline of radiation dosimetry and to the specific areas of luminescence dosimetry, luminescence dating, and radiation protection dosimetry. It features more than 90 detailed worked examples of R code fully integrated into the text, with extensive annotations. The book shows how researchers can use available R packages to analyze their experimental data, and how to extract the various parameters describing mathematically the luminescence signals.\u003cbr\u003e In each chapter, the theory behind the subject is summarized, and references are given from the literature, so that researchers can look up the details of the theory and the relevant experiments. Several chapters are dedicated to Monte Carlo methods, which are used to simulate the luminescence processes during the irradiation, heating, and optical stimulation of solids, for a wide variety of materials. This book will be useful to those who use the tools of luminescence dosimetry, including physicists, geologists, archaeologists, and for all researchers who use radiation in their research.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Introduction.- 2. Analysis and Modeling of TL Data.- 3. Analysis of Experimental OSL Data.- 4. Dose Response of Dosimetric Materials.- 5. Monte Carlo Simulations With Fixed Time Interval.- 6. Luminescence as a Stochastic Life-and-Death Process.- 7. Delocalized Transitions: The R Package RLumCarlo.- 8. Localized Transitions: The R Package RLumCarlo.- 9. Quantum Tunneling and Luminescence Models.- 10. Quantum Tunneling: The R Package RLumCarlo.- 11. Comprehensive Quartz Models Using Program KMS.- 12. Quartz Models Using the R-Package RLumModel.\u003cbr\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743044645207,"sku":"9783030673109","price":66.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"the-structures-of-mathematical-physics-an-introduction-9783030734480","title":"The Structures of Mathematical Physics: An","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable manifolds and Lie groups --- mathematical structures which are foundational to modern theoretical physics. It is aimed primarily at undergraduate students in physics and mathematics with no previous background in these topics. Applications to physics --- such as the metric tensor of special relativity, the symplectic structures associated with Hamilton's equations and the Generalized Stokes's Theorem --- appear at appropriate places in the text. Worked examples, end-of-chapter problems (many with hints and some with answers) and guides to further reading make this an excellent book for self-study. Upon completing this book the reader will be well prepared to delve more deeply into advanced texts and specialized monographs in theoretical physics or mathematics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This text approaches the reader with shocking breadth and niggardly depth. … Around each definition, there is short---and pleasant---narrative and then a number of examples are described. Chapters end with a list of straightforward exercises … . As a stand-alone mathematical dictionary, the text under review may serve a purpose … .” (Ryan Grady, MAA Reviews, January 30, 2022)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface and Acknowledgements.- Sets and Relations.- Mappings and Functions.- Rings and Fields.- Linear Vector Spaces.- Algebras.- Basic Topology and Topological Groups.- Topological Vector Spaces.- Measure, Integration and Hilbert Space.- Operators and Spectra.- Annotated Bibliography and a Guide to Further Reading.- Index.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743047758167,"sku":"9783030734480","price":54.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"making-sense-of-statistical-mechanics-9783030917937","title":"Making Sense of Statistical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eMany people, including physicists, are confused about what the Second Law of thermodynamics really means, about how it relates to the arrow of time, and about whether it can be derived from classical mechanics. They also wonder what entropy really is: Is it all about information? But, if so, then, what is its relation to fluxes of heat?\u003c\/p\u003e\u003cp\u003eOne might ask similar questions about probabilities: Do they express subjective judgments by us, humans, or do they reflect facts about the world, i.e. frequencies. And what notion of probability is used in the natural sciences, in particular statistical mechanics?\u003c\/p\u003e\u003cp\u003eThis book addresses all of these questions in the clear and pedagogical style for which the author is known. Although valuable as accompaniment to an undergraduate course on statistical mechanics or thermodynamics, it is not a standard course book. Instead it addresses both the essentials and the many subtle questions that are usually brushed under the carpet in such courses. As one of the most lucid accounts of the above questions, it provides enlightening reading for all those seeking answers, including students, lecturers, researchers and philosophers of science.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eWhat We Need from Thermodynamics.- What Are Probabilities?.- Dynamical Systems.-  Statistical Mechanics 1 : The Nature of Equilibrium.- Statistical Mechanics 2: Irreversibility.- Demystifying Entropy.-  Comparison with Quantum Mechanics.\u003c\/p\u003e","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743058473303,"sku":"9783030917937","price":49.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"statistical-methods-for-data-analysis-with-applications-in-particle-physics-9783031199332","title":"Statistical Methods for Data Analysis: With","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis third edition expands on the original material. Large portions of the text have been reviewed and clarified. More emphasis is devoted to machine learning including more modern concepts and examples. This book provides the reader with the main concepts and tools needed to perform statistical analyses of experimental data, in particular in the field of high-energy physics (HEP).\u003c\/p\u003e\u003cp\u003eIt starts with an introduction to probability theory and basic statistics, mainly intended as a refresher from readers’ advanced undergraduate studies, but also to help them clearly distinguish between the Frequentist and Bayesian approaches and interpretations in subsequent applications. Following, the author discusses Monte Carlo methods with emphasis on techniques like Markov Chain Monte Carlo, and the combination of measurements, introducing the best linear unbiased estimator. More advanced concepts and applications are gradually presented, including unfolding and regularization procedures, culminating in the chapter devoted to discoveries and upper limits.\u003c\/p\u003e\u003cp\u003eThe reader learns through many applications in HEP where the hypothesis testing plays a major role and calculations of look-elsewhere effect are also presented. Many worked-out examples help newcomers to the field and graduate students alike understand the pitfalls involved in applying theoretical concepts to actual data.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The book is important because, as AI and data science continue to shape the future, much interdisciplinary work is being done in many different domains. It is a very good example of interdisciplinary physics research using AI and data science. ... Graduate students are often expected to apply theoretical knowledge. This book will be an invaluable resource for them, to jumpstart their research by getting equipped with the right statistical and data analysis toolsets.” (Gulustan Dogan, Computing Reviews, August 8, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface to the third edition\u003c\/p\u003e  \u003cp\u003ePreface to previous edition\/s\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1 Probability Theory\u003c\/p\u003e  1.1 Why Probability Matters to a Physicist\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.2 The Concept of Probability\u003c\/p\u003e  1.3 Repeatable and Non-Repeatable Cases\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.4 Different Approaches to Probability\u003c\/p\u003e  1.5 Classical Probability\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.6 Generalization to the Continuum\u003c\/p\u003e  1.7 Axiomatic Probability Definition\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.8 Probability Distributions\u003c\/p\u003e  1.9 Conditional Probability\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.10 Independent Events\u003c\/p\u003e  1.11 Law of Total Probability\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.12 Statistical Indicators: Average, Variance and Covariance\u003c\/p\u003e 1.13 Statistical Indicators for a Finite Sample\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.14 Transformations of Variables\u003c\/p\u003e  1.15 The Law of Large Numbers\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e1.16 Frequentist Definition of Probability\u003c\/p\u003e  References\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e 2 Discrete Probability Distributions\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e2.1 The Bernoulli Distribution\u003c\/p\u003e  2.2 The Binomial Distribution\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e2.3 The Multinomial Distribution\u003c\/p\u003e  2.4 The Poisson Distribution\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eReferences\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e3 Probability Distribution Functions\u003c\/p\u003e  3.1 Introduction\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e3.2 Definition of Probability Distribution Function\u003c\/p\u003e  3.3 Average and Variance in the Continuous Case\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e3.4 Mode, Median, Quantiles\u003c\/p\u003e  3.5 Cumulative Distribution\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e3.6 Continuous Transformations of Variables\u003c\/p\u003e  3.7 Uniform Distribution\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e3.8 Gaussian Distribution\u003c\/p\u003e  3.9 X^2 Distribution\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e3.10 Log Normal Distribution\u003c\/p\u003e  3.11 Exponential Distribution\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e3.12 Other Distributions Useful in Physics\u003c\/p\u003e  \u003cp\u003e3.13 Central Limit Theorem\u003c\/p\u003e  \u003cp\u003e3.14 Probability Distribution Functions in More than One Dimension\u003c\/p\u003e  \u003cp\u003e3.15 Gaussian Distributions in Two or More Dimensions\u003c\/p\u003e  \u003cp\u003eReferences\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e4 Bayesian Approach to Probability\u003c\/p\u003e  4.1 Introduction\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e4.2 Bayes’ Theorem\u003c\/p\u003e  4.3 Bayesian Probability Definition\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e4.4 Bayesian Probability and Likelihood Functions\u003c\/p\u003e  4.5 Bayesian Inference\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e4.6 Bayes Factors\u003c\/p\u003e  4.7 Subjectiveness and Prior Choice\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e4.8 Jeffreys’ Prior\u003c\/p\u003e  4.9 Reference priors\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e4.10 Improper Priors\u003c\/p\u003e  4.11 Transformations of Variables and Error Propagation\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eReferences\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e5 Random Numbers and Monte Carlo Methods\u003c\/p\u003e  5.1 Pseudorandom Numbers\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e5.2 Pseudorandom Generators Properties\u003c\/p\u003e  5.3 Uniform Random Number Generators\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e5.4 Discrete Random Number Generators\u003c\/p\u003e  5.5 Nonuniform Random Number Generators\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e5.6 Monte Carlo Sampling\u003c\/p\u003e  5.7 Numerical Integration with Monte Carlo Methods\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e5.8 Markov Chain Monte Carlo\u003c\/p\u003e  References\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  6 Parameter Estimate\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.1 Introduction\u003c\/p\u003e  6.2 Inference\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.3 Parameters of Interest\u003c\/p\u003e  6.4 Nuisance Parameters\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.5 Measurements and Their Uncertainties\u003c\/p\u003e  6.6 Frequentist vs Bayesian Inference\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.7 Estimators\u003c\/p\u003e  6.8 Properties of Estimators\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.9 Binomial Distribution for Efficiency Estimate\u003c\/p\u003e  6.10 Maximum Likelihood Method\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.11 Errors with the Maximum Likelihood Method\u003c\/p\u003e  6.12 Minimum X^2 and Least-Squares Methods\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.13 Binned Data Samples\u003c\/p\u003e  6.14 Error Propagation\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.15 Treatment of Asymmetric Errors\u003c\/p\u003e  References\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e7 Combining Measurements\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e7.1 Introduction\u003c\/p\u003e\u003cp\u003e7.2 Simultaneous Fits and Control Regions\u003c\/p\u003e\u003cp\u003e7.3 Weighted Average\u003c\/p\u003e\u003cp\u003e7.4 X^2 in n Dimensions\u003c\/p\u003e\u003cp\u003e7.5 The Best Linear Unbiased Estimator\u003c\/p\u003e\u003cp\u003eReferences\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e8 Confidence Intervals\u003cp\u003e\u003c\/p\u003e\u003cp\u003e8.1 Introduction\u003c\/p\u003e8.2 Neyman Confidence Intervals\u003cp\u003e\u003c\/p\u003e\u003cp\u003e8.3 Binomial Intervals\u003c\/p\u003e8.4 The Flip-Flopping Problem\u003cp\u003e\u003c\/p\u003e\u003cp\u003e8.5 The Unified Feldman–Cousins Approach\u003c\/p\u003eReferences\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e9 Convolution and Unfolding\u003cp\u003e\u003c\/p\u003e\u003cp\u003e9.1 Introduction\u003c\/p\u003e9.2 Convolution\u003cp\u003e\u003c\/p\u003e\u003cp\u003e9.3 Unfolding by Inversion of the Response Matrix\u003c\/p\u003e9.4 Bin-by-Bin Correction Factors\u003cp\u003e\u003c\/p\u003e\u003cp\u003e9.5 Regularized Unfolding\u003c\/p\u003e9.6 Iterative Unfolding\u003cp\u003e\u003c\/p\u003e\u003cp\u003e9.7 Other Unfolding Methods\u003c\/p\u003e9.8 Software Implementations\u003cp\u003e\u003c\/p\u003e\u003cp\u003e9.9 Unfolding in More Dimensions\u003c\/p\u003eReferences\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e10 Hypothesis Tests\u003c\/p\u003e10.1 Introduction\u003cp\u003e\u003c\/p\u003e\u003cp\u003e10.2 Test Statistic\u003c\/p\u003e10.3 Type I and Type II Errors\u003cp\u003e\u003c\/p\u003e\u003cp\u003e10.4 Fisher’s Linear Discriminant\u003c\/p\u003e10.5 The Neyman–Pearson Lemma\u003cp\u003e\u003c\/p\u003e\u003cp\u003e10.6 Projective Likelihood Ratio Discriminant\u003c\/p\u003e10.7 Kolmogorov–Smirnov Test\u003cp\u003e\u003c\/p\u003e\u003cp\u003e10.8 Wilks’ Theorem\u003c\/p\u003e10.9 Likelihood Ratio in the Search for a New Signal\u003cp\u003e\u003c\/p\u003e\u003cp\u003eReferences\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003e11 Machine Learning\u003c\/p\u003e11.1 Supervised and Unsupervised Learning\u003cp\u003e\u003c\/p\u003e\u003cp\u003e11.2 Terminology\u003c\/p\u003e11.3 Machine Learning Classification from a Statistical Point of View\u003cp\u003e\u003c\/p\u003e\u003cp\u003e11.4 Bias-Variance tradeo\u003c\/p\u003e11.5 Overtraining\u003cp\u003e\u003c\/p\u003e\u003cp\u003e11.6 Artificial Neural Networks\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e11.7 Deep Learning\u003c\/p\u003e\u003cp\u003e11.8 Convolutional Neural Networks\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e11.9 Boosted Decision Trees\u003c\/p\u003e11.10 Multivariate Analysis Implementations\u003cp\u003e\u003c\/p\u003e\u003cp\u003eReferences\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003e12 Discoveries and Upper Limits\u003c\/p\u003e12.1 Searches for New Phenomena: Discovery and Upper Limits\u003cp\u003e\u003c\/p\u003e\u003cp\u003e12.2 Claiming a Discovery\u003c\/p\u003e12.3 Excluding a Signal Hypothesis\u003cp\u003e\u003c\/p\u003e\u003cp\u003e12.4 Combined Measurements and Likelihood Ratio\u003c\/p\u003e12.5 Definitions of Upper Limit\u003cp\u003e\u003c\/p\u003e\u003cp\u003e12.6 Bayesian Approach\u003c\/p\u003e12.7 Frequentist Upper Limits\u003cp\u003e\u003c\/p\u003e\u003cp\u003e12.8 Modified Frequentist Approach: the CLs Method\u003c\/p\u003e12.9 Presenting Upper Limits: the Brazil Plot\u003cp\u003e\u003c\/p\u003e\u003cp\u003e12.10 Nuisance Parameters and Systematic Uncertainties\u003c\/p\u003e12.11 Upper Limits Using the Profile Likelihood\u003cp\u003e\u003c\/p\u003e\u003cp\u003e12.12 Variations of the Profile-Likelihood Test Statistic\u003c\/p\u003e12.13 The Look Elsewhere Effect\u003cp\u003e\u003c\/p\u003e\u003cp\u003eReferences\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003e Index\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743075414359,"sku":"9783031199332","price":55.96,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031199332.jpg?v=1720064002"},{"product_id":"cosmic-rays-multimessenger-astrophysics-and-revolutionary-astronomy-9783031385599","title":"Cosmic Rays: Multimessenger Astrophysics and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIn recent years, cosmic rays have become the protagonists of a new scientific revolution. We are able today to film the Universe with telescopes of completely novel conception, recording information from many different messengers and accessing previously unknown cosmic regions.\u003cbr\u003eWritten by a recognized authority in physics, this book takes readers on a captivating journey through the world of cosmic rays, their role in the revolutionary field of multi-messenger astronomy, their production from powerful accelerators close to the surfaces of black holes and compact objects, reaching the highest levels of energy observed in nature, and the implications this has for our understanding of the Universe. Through the stories of pioneering scientists, explorations of cutting-edge technologies, and simple explanations related to particle physics, quantum mechanics, and astrophysics, the book provides an illuminating state-of-the-art introduction to the current state of high-energy astrophysics. The book was written in straightforward yet rigorous language, so as to be accessible to the greater public. For those curious about the cosmos and cosmic gamma rays, nuclei, neutrinos, and gravitational waves, from casual observers to professional astronomers and physicists, the book is a must-read, offering a thrilling adventure into the future of astronomy and particle physics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eIntroduction\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e1 The Largest Energies in the Universe\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e1.1 The Universe around us\u003c\/p\u003e  \u003cp\u003e1.2 Particles and fields\u003c\/p\u003e  \u003cp\u003e1.3 Cosmic rays\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e2 The Mystery of Cosmic Rays\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e  \u003cp\u003e2.1 The discovery of natural radioactivity \u003c\/p\u003e  \u003cp\u003e2.2 Is natural radioactivity of extraterrestrial origin?  \u003c\/p\u003e  \u003cp\u003e2.3 Father Wulf, a true experimental physicist \u003c\/p\u003e  \u003cp\u003e2.4 Pacini’s attenuation measures in water \u003c\/p\u003e  \u003cp\u003e2.5 Hess and balloon measurements \u003c\/p\u003e  \u003cp\u003e2.6 First developments and the tragedy of the first world war \u003c\/p\u003e  \u003cp\u003e\u003cb\u003e3 Cosmic-Ray Research after the First World War\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e  \u003cp\u003e3.1 Research in Europe and the Pacini-Hess controversy \u003c\/p\u003e  \u003cp\u003e3.2 Research in the United States \u003c\/p\u003e  \u003cp\u003e3.3 Are cosmic rays predominantly charged or neutral? \u003c\/p\u003e  \u003cp\u003e3.4 Bruno Rossi and the discoveries after 1930 \u003c\/p\u003e  \u003cp\u003e3.5 At the origins of elementary particle physics \u003c\/p\u003e  \u003cp\u003e3.6 The recognition of the scientific community \u003c\/p\u003e  3.7 Hypothesis on the origin of cosmic rays: Tesla, Zwicky, Fermi\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e4 Cosmic Rays and the Physics of Elementary Particles\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e4.1 Leptons and mesons \u003c\/p\u003e  \u003cp\u003e4.2 The neutral pion \u003c\/p\u003e  \u003cp\u003e4.3 The discovery of strangeness \u003c\/p\u003e  \u003cp\u003e4.4 Laboratories on the mountains \u003c\/p\u003e  \u003cp\u003e4.5 Hunters become shepherds: particle accelerators\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e5 Fire Under the Ashes: the Discoveries at the End of the 20th Century and at the Beginning\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eof the 21st Century\u003c\/b\u003e\u003c\/p\u003e  5.1 Cosmic rays of very-high-energy \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e5.2 Anomalous events \u003c\/p\u003e  \u003cp\u003e5.3 X-rays \u003c\/p\u003e  \u003cp\u003e5.4 Neutrinos from the Sun and the cosmos\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e6 Cosmic Ray Research Today: Multi-Messenger Astrophysics\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e  \u003cp\u003eand the New Astronomy\u003c\/p\u003e  \u003cp\u003e6.1 Very-high-energy cosmic rays\u003c\/p\u003e  \u003cp\u003e6.2 Search for antimatter \u003c\/p\u003e  \u003cp\u003e6.3 Gamma rays \u003c\/p\u003e  \u003cp\u003e6.4 Cosmic neutrinos \u003c\/p\u003e  6.5 Gravitational waves \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e6.6 Multi-messenger astronomy\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e7 Cosmic Rays and Climate\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e7.1 Cosmic rays and thunderstorms \u003c\/p\u003e  \u003cp\u003e7.2 Variations in the flux of cosmic rays \u003c\/p\u003e  7.3 A correlation between cosmic rays and earthquakes?\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e8 Cosmic Rays and Life\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e  \u003cp\u003e8.1 Ionization and chemistry of the atmosphere \u003c\/p\u003e  \u003cp\u003e8.2 The Miller-Urey experiment \u003c\/p\u003e  \u003cp\u003e8.3 Biological effects of cosmic rays \u003c\/p\u003e  8.4 Implications on evolution\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e9 Cosmic Rays and the Exploration of the Universe\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003e10 Cosmic Rays and Archaeology\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e10.1 Dating techniques \u003c\/p\u003e  \u003cp\u003e10.2 Muon tomography\u003c\/p\u003e  \u003cb\u003e11 The Future\u003c\/b\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743084327255,"sku":"9783031385599","price":26.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031385599.jpg?v=1720064040"},{"product_id":"computational-physics-simulation-of-classical-and-quantum-systems-9783319004006","title":"Computational Physics: Simulation of Classical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. \u003c\/p\u003e\u003cp\u003eThe first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. \u003c\/p\u003e\u003cp\u003eThe book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the book reviews:\u003c\/p\u003e“The well-written monograph about computational physics is based on two-semester lecture courses given by the author on a period of several years for undergraduate physics and biophysics students … . convenient for students and practitioners of computer science, chemistry, and mathematics who are interested in applications of numerical methods in physics and engineering sciences. … well-organized book with a concentration to the important ideas of the methods and physical applications including software, examples, illustrations, and references to further reading.” (Georg Hebermehl, zbMATH, Vol. 1303, 2015)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I Numerical Methods.- Error Analysis.- Interpolation.- Numerical Differentiation.- Numerical Integration.- Systems of Inhomogeneous Linear Equations.- Roots and Extremal Points.- Fourier Transformation.- Random Numbers and Monte-Carlo Methods.- Eigenvalue Problems.- Data Fitting.- Discretization of Differential Equations.- Equations of Motion.- Part II Simulation of Classical and Quantum Systems.- Rotational Motion.- Molecular Dynamics.- Thermodynamic Systems.- Random Walk and Brownian Motion.- Electrostatics.- Waves.- Diffusion.- Nonlinear Systems.- Simple Quantum Systems.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743091765591,"sku":"9783319004006","price":48.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319004006.jpg?v=1720064073"},{"product_id":"the-finite-volume-method-in-computational-fluid-dynamics-an-advanced-introduction-with-openfoam-r-and-matlab-9783319168739","title":"The Finite Volume Method in Computational Fluid","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems.\u003c\/p\u003e\u003cp\u003eWith over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“Directed towards future practitioners such as engineers the authors first provide an introduction to fluid dynamics presupposing but a modicum of mathematical and physical knowledge. … . A number of exercises plus special chapters on modelling incompressible and compressible flow make the book very useful for its purpose.” (H. Muthsam, Monatshefte für Mathematik, Vol. 187 (1), September, 2018)\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e“The book is very attractive, carefully written and easy to read by those interested in learning about finite volume methods for fluid dynamics. The authors have made an important effort to bridge the gap between classroom material and actual model development questions. The text is well illustrated by means of quality figures helping to understand the described concepts. Furthermore, the book contains pieces of academic codes in MATLAB … . It is certainly a useful, practical and valuable book.” (Pilar Garcia-Navarro, Mathematical Reviews, May, 2016)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eFoundation\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e1 Introduction\u003cbr\u003e\u003cbr\u003e2 Review of Vector Calculus\u003c\/p\u003e\u003cp\u003e3 Mathematical Description of Physical Phenomena\u003cbr\u003e\u003cbr\u003e4 The Discretization Process\u003cbr\u003e\u003cbr\u003e5 The Finite Volume Method\u003cbr\u003e\u003cbr\u003e6 The Finite Volume Mesh\u003cbr\u003e\u003cbr\u003e7 The Finite Volume Mesh in OpenFOAM® and uFVM\u003cbr\u003e\u003cbr\u003e\u003cb\u003eDiscretization\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e8 Spatial Discretization: The Diffusion Term\u003c\/p\u003e\u003cp\u003e9 Gradient Computation\u003c\/p\u003e\u003cp\u003e10 Solving the System of Algebraic Equations\u003cbr\u003e\u003cbr\u003e11 Discretization of the Convection Term\u003c\/p\u003e\u003cp\u003e12 High Resolution Schemes\u003cbr\u003e\u003cbr\u003e13 Temporal Discretization: The Transient Term\u003cbr\u003e\u003cbr\u003e14 Discretization of the Source Term, Relaxation, and Other Details\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAlgorithms\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e15 Fluid Flow Computation: Incompressible Flows\u003cbr\u003e\u003cbr\u003e16 Fluid Flow Computation: Compressible Flows\u003cbr\u003e\u003cbr\u003e\u003cb\u003eApplications\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e17 Turbulence Modeling\u003cbr\u003e\u003cbr\u003e18 Boundary Conditions in OpenFOAM® and uFVM\u003cbr\u003e\u003cbr\u003e19 An OpenFOAM® Turbulent Flow Application \u003c\/p\u003e\u003cp\u003e20 Closing Remarks\u003cbr\u003e\u003cbr\u003eAppendices\u003c\/p\u003e\u0026lt;\u003cp\u003e20 Closing Remarks\u003cbr\u003e\u003cbr\u003eAppendices\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e20 Closing Remarks\u003cbr\u003e\u003cbr\u003eAppendices\u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743092420951,"sku":"9783319168739","price":94.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319168739.jpg?v=1720064077"},{"product_id":"computational-methods-in-physics-compendium-for-students-9783319786186","title":"Computational Methods in Physics: Compendium for","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools.\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eThe second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial differential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving stiff differential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eSince this is a 2\u003csup\u003end\u003c\/sup\u003e Edition, we are giving below the topics we wish to add\/update\/revise in roughly the same chapter sequence as we had in the existing 1st Edition of the book. In addition to a general revision of the text, we propose the following major modifications (the asterisks denote the amount of text added\/modified and\/or or the difficulty level of the topics being discussed):\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 2\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Subsection 2.1.2: add discussion on how to find all zeros by means  \u003c\/p\u003e\u003cp\u003e  of the Newton method (*)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 3\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Expand Subsection 3.2.7 on solving the A*x = b equations with sparse\u003c\/p\u003e  \u003cp\u003e  matrices to a full Section (**)\u003c\/p\u003e  \u003cp\u003e- Expand Subsection 3.4.5 on solving the eigenvalue problem A*x = lambda*x \u003c\/p\u003e    to a full Section (**)\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e- Discuss the exponentiation of a matrix, exp(A) (*)\u003c\/p\u003e  \u003cp\u003e- Add a Subsection on Pseudospectra (**)\u003c\/p\u003e  \u003cp\u003e- in general\u003c\/p\u003e, enhance the \"sparse\" aspect of the chapter\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 4\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Add a new Section on Sparse FFT (following present Sec. 4.2),\u003c\/p\u003e  \u003cp\u003e  add corresponding Exercise (**)\u003c\/p\u003e  \u003cp\u003e- Expand Subsection 4.6.2 on the Discrete Wavelet Transform \u003c\/p\u003e  \u003cp\u003e  to a full Section, add Exercise (***)\u003c\/p\u003e  \u003cp\u003e- Add a Section on image denoising (**)\u003c\/p\u003e  \u003cp\u003e- Add Section on Radon transformation (**)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  Chapter 5\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Rewrite Sections 5.1-5.5 to better distinguish between general\u003c\/p\u003e  \u003cp\u003e  discussion of distributions and the techniques involving samples,\u003c\/p\u003e  \u003cp\u003e  and to bring the notation in line with the book \"Probability\u003c\/p\u003e  \u003cp\u003e  for Physicists\" (***)\u003c\/p\u003e  \u003cp\u003e- Introduce Bayesian data analysis and inference (***)\u003c\/p\u003e  \u003cp\u003e- Expand Subsection 5.5.8 on Non-linear Regression to a full Section,\u003c\/p\u003e  \u003cp\u003e  add Exercises (**)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 6\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Expand Section 6.5 \u003c\/p\u003eon Noise, add Exercise (**)\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e- Add Section on Takens Theorem and its applications: phase space\u003c\/p\u003e    reconstruction and optimal size determination (**)\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e- Add discussion on signal entropies (**)\u003c\/p\u003e  \u003cp\u003e- Update discussion on autoregressive models (optimal order) (*)\u003c\/p\u003e  \u003cp\u003e- Add discussion on signal directionality \/ causality (**)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 7\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  - Expand Section 7.10 on Stiff Problems of ODE, add Exercise (**)\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 8\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Expand Subsection 8.7.4 on Singular SL Problems to a Section,\u003c\/p\u003e  \u003cp\u003e  add Exercise (**)\u003c\/p\u003e  \u003cp\u003e- Motivated by Section 8.8, write a new chapter on Inverse Problems (***)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 10\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Expand Section 10.8, add Exercise (**)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eChapter 11\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e- Expand Sections 11.7 and 11.8, add Exercises (**)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  New Chapter on Inverse Methods (***)\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eNew short Chapter or Appendix on minimization (**)\u003c\/p\u003e  \u003cp\u003e- with derivatives or without them\u003c\/p\u003e  \u003cp\u003e- with constraints or without them\u003c\/p\u003e  \u003cp\u003e- deterministic and quasi-deterministic (MC methods)\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eNew Appendix on spline methods: B-splines, Bezier splines (**) \u003c\/p\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743106609495,"sku":"9783319786186","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"computational-methods-for-fluid-dynamics-9783319996912","title":"Computational Methods for Fluid Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eThis book is a guide to numerical methods for solving fluid dynamics problems. The most widely used discretization and solution methods, which are also found in most commercial CFD-programs, are described in detail. Some advanced topics, like moving grids, simulation of turbulence, computation of free-surface flows, multigrid methods and parallel computing, are also covered. Since CFD is a very broad field, we provide fundamental methods and ideas, with some illustrative examples, upon which more advanced techniques are built. Numerical accuracy and estimation of errors are important aspects and are discussed in many examples. Computer codes that include many of the methods described in the book can be obtained online. This 4th edition includes major revision of all chapters; some new methods are described and references to more recent publications with new approaches are included. Former Chapter 7 on solution of the Navier-Stokes equations has been split into two Chapters to allow for a more detailed description of several variants of the Fractional Step Method and a comparison with SIMPLE-like approaches. In Chapters 7 to 13, most examples have been replaced or recomputed, and hints regarding practical applications are made. Several new sections have been added, to cover, e.g., immersed-boundary methods, overset grids methods, fluid-structure interaction and conjugate heat transfer.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eBasic Concepts of Fluid Flow.- Introduction to Numerical Methods.- Finite Difference Methods.- Finite Volume Methods.- Solution of Linear Equation Systems.-Methods for Unsteady Problems.- Solution of the Navier-Stokes Equations.- Complex Geometries.- Turbulent Flows.- Compressible Flows.- Efficiency, Accuracy and Grid Quality.- Special Topics.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743112868183,"sku":"9783319996912","price":52.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319996912.jpg?v=1720064167"},{"product_id":"ordinary-differential-equations-9783540345633","title":"Ordinary Differential Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFew books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. \u003c\/p\u003e \u003cp\u003eFrom the reviews:\u003c\/p\u003e \u003cp\u003e\"Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation.\" --SIAM REVIEW\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\"Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation … . The new edition is highly recommended as a general reference for the essential theory of ordinary differential equations and as a textbook for an introductory course for serious undergraduate or graduate students. … In the US system, it is an excellent text for an introductory graduate course.\" (Carmen Chicone, SIAM Review, Vol. 49 (2), 2007)\u003c\/p\u003e \u003cp\u003e\"Vladimir Arnold’s is a master, not just of the technical realm of differential equations but of pedagogy and exposition as well. … The writing throughout is crisp and clear. … Arnold’s says that the book is based on a year-long sequence of lectures for second-year mathematics majors in Moscow. In the U.S., this material is probably most appropriate for advanced undergraduates or first-year graduate students.\" (William J. Satzer, MathDL, August, 2007)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eBasic Concepts.- Basic Theorems.- Linear Systems.- Proofs of the Main Theorems.- Differential Equations on Manifolds.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743130366295,"sku":"9783540345633","price":64.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"statistical-physics-an-advanced-approach-with-applications-web-enhanced-with-problems-and-solutions-9783642077036","title":"Statistical Physics: An Advanced Approach with","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1 Statistical Physics: Is More than Statistical Mechanics.- I Modeling of Statistical Systems.- 2 Random Variables: Fundamentals of Probability Theory and Statistics.- 3 Random Variables in State Space: Classical Statistical Mechanics of Fluids.- 4 Random Fields: Textures and Classical Statistical Mechanics of Spin Systems.- 5 Time-Dependent Random Variables: Classical Stochastic Processes.- 6 Quantum Random Systems.- 7 Changes of External Conditions.- II Analysis of Statistical Systems.- 8 Estimation of Parameters.- 9 Signal Analysis: Estimation of Spectra.- 10 Estimators Based on a Probability Distribution for the Parameters.- 11 Identification of Stochastic Models from Observations.- 12 Estimating the Parameters of a Hidden Stochastic Model.- 13 Statistical Tests and Classification Methods.- Appendix: Random Number Generation for Simulating Realizations of Random Variables.- Problems.- Hints and Solutions.- References.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743133643095,"sku":"9783642077036","price":66.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"heat-kernel-and-quantum-gravity-9783642086465","title":"Heat Kernel and Quantum Gravity","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book is aimed at theoretical as well as primarily physicists graduate students in field working quantum theory, quantum gravity, theories, gauge to sdme and and, it is not extent, general relativity cosmology. Although aimed at a I that it also be of level, hope in mathematically rigorous may terest to mathematical and mathematicians in physicists working spectral of differential mani geometry, spectral asymptotics on operators, analysis differential and mathematical methods in folds, geometry quantum theory. Thisbook will be considered too abstract some but certainly by physicists, not detailed and most mathematicians. This in completeenoughby means, thatthe material is at the level of particular, presented \"physical\" So, rigor. there theorems and areno and technicalcalculationsare lemmas, proofs long omitted. I tried detailed to a ofthe basic Instead, give presentation ideas, methodsandresults. Itried makethe to as andcom Also, exposition explicit as the lessabstractandhaveillustratedthe plete possible, methods language and results withsome As is well \"onecannot examples. known, cover every in an text. The in this thing\", especially introductory approach presented book the lines is a further of the so called along goes (and development) fieldmethod ofDe Witt. As a Ihavenot dealt at background consequence, allwithmanifoldswith boundary,non Laplacetype (ornonminimal) opera Riemann Cartan manifolds well with as as recent tors, developments many and advanced such Ashtekar's more as topics, approach,supergravity,strings, matrix etc. The membranes, interested reader is referred models, M theory tothe literature.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"This monograph rightly belongs to a series ‘Lecture notes in Physics’, as it represents a well-written review of main results by the author, who is a recognized expert on heat kernel techniques in quantum gravity. [...] The results exposed in this book reflect the major contributions of the author to differential geometry and the theory of differential operators. They have many applications in quantum field theory with background fields, and indeed, the book can be used as a text for a short graduate course in the heat kernel techniques and their quantum gravity.\" (Mathematical Reviews 2003a)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eBackground Field Method in Quantum Field Theory.- Technique for Calculation of De Witt Coefficients.- Partial Summation of Schwinger-De Witt Expansion.- Higher-Derivative Quantum Gravity.- Conclusion.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743133806935,"sku":"9783642086465","price":85.49,"currency_code":"GBP","in_stock":true}]},{"product_id":"geometry-of-minkowski-space-time-9783642179761","title":"Geometry of Minkowski Space-Time","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry.\u003c\/p\u003e\u003cp\u003eThe book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous \"Twin Paradox\" is completely solved for all kinds of motions.\u003c\/p\u003e\u003cp\u003eThe novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time.\u003c\/p\u003e\u003cp\u003eMoreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- Hyperbolic Numbers.- Geometrical Representation of Hyperbolic Numbers.- Trigonometry in the Hyperbolic (Minkowski) Plane.- Equilateral Hyperbolas and Triangles in the Hyperbolic Plane.- The Motions in Minkowski Space-Time (Twin Paradox).- Some Final Considerations.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743134331223,"sku":"9783642179761","price":49.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"computational-materials-science-from-ab-initio-to-monte-carlo-methods-9783662565407","title":"Computational Materials Science: From Ab Initio","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook introduces modern techniques based on computer simulation to study materials science. It starts from first principles calculations enabling to calculate the physical and chemical properties by solving a many-body Schroedinger equation with Coulomb forces. For the exchange-correlation term, the local density approximation is usually applied. After the introduction of the first principles treatment, tight-binding and classical potential methods are briefly introduced to indicate how one can increase the number of atoms in the system. In the second half of the book, Monte Carlo simulation is discussed in detail. Problems and solutions are provided to facilitate understanding. Readers will gain sufficient knowledge to begin theoretical studies in modern materials research.\u003cbr\u003e This second edition includes a lot of recent theoretical techniques in materials research. With the computers power now available, it is possible to use these numerical techniques to study various physical and chemical properties of complex materials from first principles. The new edition also covers empirical methods, such as tight-binding and molecular dynamics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eAb-Initio Methods.- Tight-Binding Methods.- Empirical Methods and Coarse-Graining.- Monte Carlo Methods.- Quantum Monte Carlo (QMC) Methods.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743141933399,"sku":"9783662565407","price":74.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783662565407.jpg?v=1720064294"},{"product_id":"basic-concepts-in-physics-from-the-cosmos-to-quarks-9783662623152","title":"Basic Concepts in Physics: From the Cosmos to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book is the second edition of an excellent undergraduate-level overview of classical and modern physics, intended  for students of physics and related subjects, and also perfectly suited for the education of physics teachers. The twelve-chapter book begins with Newton’s laws of motion and subsequently covers topics such as thermodynamics and statistical physics, electrodynamics, special and general relativity, quantum mechanics  and cosmology , the standard model and quantum chromodynamics. The writing is lucid, and the theoretical discussions are easy to follow for anyone comfortable with standard mathematics.\u003c\/p\u003eAn important addition in this second edition is a set of exercises and problems, distributed throughout the book. Some of the problems aim to complement the text, others to provide readers with additional useful tools for tackling new or more advanced topics. Furthermore, new topics have been added in several chapters; for example, the discovery of extra-solar planets from the wobble of their mother stars, a discussion of the Landauer principle relating information erasure to an increase of entropy, quantum logic, first order quantum corrections to the ideal gas equation of state due to the Fermi-Dirac and Bose-Einstein statistics. Both gravitational lensing and the time-correction in geo-positioning satellites are explained as theoretical applications of special and  general relativity. The discovery of gravitational waves, one of the most important achievements of physical sciences, is presented as well.\u003cp\u003e \u003c\/p\u003eProfessional scientists, teachers, and researchers will also want to have this book on their bookshelves, as it provides an excellent refresher on a wide range of topics and serves as an ideal starting point for expanding one’s knowledge of new or unfamiliar fields. Readers of this book will not only learn much about physics, they will also learn to love it.\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews of the first edition:\u003c\/p\u003e\u003cp\u003eSelected by Choice magazine as an \"Outstanding Academic Title\" for 2014\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e“This is a very high-quality presentation. The writing is lucid, and the theoretical discussions are easy to follow for anyone comfortable with the mathematics. … the work is a valuable addition to college libraries. Professionals and researchers will also want it on their bookshelves; it provides an excellent refresher on a wide range of topics and can serve as a good starting point for expanding knowledge of new or unfamiliar subjects. Summing Up: Highly recommended. Lower-division undergraduates and above.” (A. Spero, Choice, Vol. 51 (9), May, 2014)\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e“It describes all the major developments and theories regarding the description of the universe we live on, from the very small to the very large. … I highly recommend this book to any physicist. It will not only be a fun and an easy read but also a useful revision of all the main concepts in physics. Undergraduate and graduate physics students definitely should read it. … appropriate for scientists in other fields who have a genuine interest for physics.” (Monica Pierri-Galvao, Contemporary Physics, April, 2014)\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eGravitation and Newton Laws.- Entropy, Statistical Physics and Information.- Electromagnetism and Maxwell's Equations.- Electromagnetic Waves.- Special Theory of Relativity.- Atoms and Quantum Theory.- Quantum Electrodynamics.- Fermi-Dirac and Bose-Einstein Statistics.- Four Fundamental Forces.- General Relativity and Cosmology.- Unification of the Forces of Nature.- Physics and Life.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743142687063,"sku":"9783662623152","price":44.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783662623152.jpg?v=1720064297"},{"product_id":"solid-state-theory-volume-2-applications-non-equilibrium-behavior-in-external-fields-collective-phenomena-9783662669624","title":"Solid State Theory, Volume 2: Applications:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe present volume 2 covers advanced topics in theoretical solid state physics and thus ties in directly with the fundamentals. Solids in external fields or more generally in non-equilibrium and deviations from the ideal 3-dimensional crystal structure (surfaces, impurities, low-dimensional structures, quantum dots, etc.) are treated. The consideration of collective phenomena such as superconductivity and magnetism complete the presentation. The reader is assumed to have the contents of Volume 1 (electrons and phonons in ideal crystals, Bloch theorem, population number representation or 2nd quantization, electron-electron and electron-phonon interaction) as well as the basic knowledge of general theoretical physics (mechanics, electrodynamics, quantum mechanics, and statistical physics) usually available after a bachelor's degree in physics. Volume 2 is thus ideally suited for students in the master's program in physics who wish to specialize in (experimental or theoretical) solid-state physics. Addressing current topics (e.g., Kondo effect, fractional quantum Hall effect, 2-dimensional crystals such as graphene, giant magnetoresistance effect, and others) provides an optimal transition to modern research.The new edition has been completely revised, expanded with numerous exercises and existing redesigned, with the associated solutions now included in the book.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eElectronic transport in solids.- Optical (or dielectric) properties of solids.- Deviations from the ideal, three-dimensional crystal structure.- Solids in the external magnetic field.- Superconductivity.- Collective magnetism.- Solutions to the exercise problems.\u003cbr\u003e\u003c\/p\u003e","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743143768407,"sku":"9783662669624","price":49.99,"currency_code":"GBP","in_stock":true}]},{"product_id":"lectures-on-quantum-mechanics-and-attractors-9789811248894","title":"Lectures On Quantum Mechanics And Attractors","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations.The book is aimed at graduate and advanced undergraduate students in mathematics, physics, and chemistry, as well as at the readers specializing in quantum mechanics, theoretical physics and quantum chemistry, and applications to solid state physics, optics, superconductivity, and quantum and high-frequency electronic devices.The book utilizes elementary mathematical derivations. The presentation assumes only basic knowledge of the origin of Hamiltonian mechanics, Maxwell equations, calculus, Ordinary Differential Equations and basic PDEs. Key topics include the Schrödinger, Pauli, and Dirac equations, the corresponding conservation laws, spin, the hydrogen spectrum, and the Zeeman effect, scattering of light and particles, photoelectric effect, electron diffraction, and relations of quantum postulates with attractors of nonlinear Hamiltonian PDEs. Featuring problem sets and accompanied by extensive contemporary and historical references, this book could be used for the course on Quantum Mechanics and is also suitable for individual study.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743283229015,"sku":"9789811248894","price":72.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811248894.jpg?v=1720064915"},{"product_id":"algebraic-bethe-ansatz-and-correlation-functions-an-advanced-course-9789811254253","title":"Algebraic Bethe Ansatz And Correlation Functions:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIt is unlikely that today there is a specialist in theoretical physics who has not heard anything about the algebraic Bethe ansatz. Over the past few years, this method has been actively used in quantum statistical physics models, condensed matter physics, gauge field theories, and string theory.This book presents the state-of-the-art research in the field of algebraic Bethe ansatz. Along with the results that have already become classic, the book also contains the results obtained in recent years. The reader will get acquainted with the solution of the spectral problem and more complex problems that are solved using this method. Various methods for calculating scalar products and form factors are described in detail. Special attention is paid to applying the algebraic Bethe ansatz to the calculation of the correlation functions of quantum integrable models. The book also elaborates on multiple integral representations for correlation functions and examples of calculating the long-distance asymptotics of correlations.This text is intended for advanced undergraduate and postgraduate students, and specialists interested in the mathematical methods of studying physical systems that allow them to obtain exact results.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743285227863,"sku":"9789811254253","price":121.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811254253.jpg?v=1720064924"},{"product_id":"memorial-volume-for-ludwig-faddeev-9789813233768","title":"Memorial Volume for Ludwig Faddeev","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eBoth a theoretical physicist and mathematician, Ludwig Faddeev is best known for \"the Faddeev equations\", the first mathematically well-posed formulation of the quantum-mechanical three-body problem, which are foundational in few-body physics. Having made multiple seminal contributions to theoretical physics (Faddeev–Popov ghosts, Faddeev–Senjanovic quantization, Faddeev–Jackiw quantization among others), he was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize, the Dirac Prize, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others.  A gathering of contributions from some of the biggest names in physics and mathematics, this volume serves as a tribute to this legendary figure in mathematical physics. Volume contributors include: Fields medallist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Louis Nirenberg, Samson Shatashvili, Vladimir Korepin as well as Nobel laureates Frank Wilczek, C N Yang and Gerard 't Hooft.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743297515863,"sku":"9789813233768","price":189.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789813233768.jpg?v=1720064978"},{"product_id":"lumen-naturae-9780262043908","title":"Lumen Naturae","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"MIT Press Ltd","offers":[{"title":"Default Title","offer_id":48864300925271,"sku":"9780262043908","price":32.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780262043908.jpg?v=1722271300"},{"product_id":"the-shape-of-a-life-9780300235906","title":"The Shape of a Life","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The book is an unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, \u003ci\u003eBoston Globe\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e\"For decades, mathematician Shing-Tung Yau—a winner of the 1982 Fields Medal—has been central to the cross-fertilization between modern mathematics and physics. His work in geometry, for instance, underlies much of string theory. This volume, co-authored with science writer Steve Nadis, is an intimate account of Yau’s life”—Barbara Kiser, \u003ci\u003eNature\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e“An eye-opening and insightful account. . . . Yau’s life story is an inspiring example of the power of education.”—Dan Eady, \u003ci\u003eSouth China Morning Post\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e“A real story of a remarkable mathematician and of contemporary mathematics, written with passion by one of the key players”—Peter Giblin, \u003ci\u003eThe Mathematical Gazette\u003c\/i\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003eFinalist in the  PROSE Awards mathematics category, sponsored by the Association of American Publishers\u003cbr\u003e\u003cbr\u003e“Yau and Nadis’s \u003ci\u003eThe Shape of a Life \u003c\/i\u003eopens a window into the fascinating mind and world of today’s equivalent of Apollonius of Perga, ‘The Great Geometer’ of antiquity.”—Mario Livio, author of \u003ci\u003eBrilliant Blunders\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e\"The interesting life of a remarkably influential modern mathematician.\"—Juan Maldacena, Institute for Advanced Study\u003cbr\u003e\u003cbr\u003e“This book tells a fascinating story of a life lived between multiple cultures—China and the West, and mathematics and physics. Yau's journey from poverty in Hong Kong to the top levels of the mathematics world was not a simple one.”—Edward Witten, Institute for Advanced Study\u003cbr\u003e\u003cbr\u003e\"Candid, deep, and truly inspiring, \u003ci\u003eThe Shape of a Life\u003c\/i\u003e is studded with unexpected insights into Yau's thinking. An extraordinary story about an extraordinary person.\"—Gish Jen, author of \u003ci\u003eThe Girl at the Baggage Claim: Explaining the East-West Culture Gap\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e“The remarkable story of one of the world's most accomplished mathematicians, Shing-Tung Yau, who has made profound contributions in pure mathematics, general relativity, and string theory. Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind's irrepressible spirit of discovery.”—Brian Greene, author of \u003ci\u003eThe Elegant Universe\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e","brand":"Yale University Press","offers":[{"title":"Default Title","offer_id":48864343720279,"sku":"9780300235906","price":19.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780300235906.jpg?v=1722271506"},{"product_id":"principles-of-quantum-mechanics-9780306447907","title":"Principles of Quantum Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e1. Mathematical Introduction.- 1.1. Linear Vector Spaces: Basics.- 1.2. Inner Product Spaces.- 1.3. Dual Spaces and the Dirac Notation.- 1.4. Subspaces.- 1.5. Linear Operators.- 1.6. Matrix Elements of Linear Operators.- 1.7. Active and Passive Transformations.- 1.8. The Eigenvalue Problem.- 1.9. Functions of Operators and Related Concepts.- 1.10. Generalization to Infinite Dimensions.- 2. Review of Classical Mechanics.- 2.1. The Principle of Least Action and Lagrangian Mechanics.- 2.2. The Electromagnetic Lagrangian.- 2.3. The Two-Body Problem.- 2.4. How Smart Is a Particle?.- 2.5. The Hamiltonian Formalism.- 2.6. The Electromagnetic Force in the Hamiltonian Scheme.- 2.7. Cyclic Coordinates, Poisson Brackets, and Canonical Transformations.- 2.8. Symmetries and Their Consequences.- 3. All Is Not Well with Classical Mechanics.- 3.1. Particles and Waves in Classical Physics.- 3.2. An Experiment with Waves and Particles (Classical).- 3.3. The Double-Slit Experiment with Light.- 3.4. Matter Waves (de Broglie Waves).- 3.5. Conclusions.- 4. The Postulatesa General Discussion.- 4.1. The Postulates.- 4.2. Discussion of Postulates I -III.- 4.3. The Schrödinger Equation (Dotting Your i's and Crossing your ?'s).- 5. Simple Problems in One Dimension.- 5.1. The Free Particle.- 5.2. The Particle in a Box.- 5.3. The Continuity Equation for Probability.- 5.4. The Single-Step Potential: a Problem in Scattering.- 5.5. The Double-Slit Experiment.- 5.6. Some Theorems.- 6. The Classical Limit.- 7. The Harmonic Oscillator.- 7.1. Why Study the Harmonic Oscillator?.- 7.2. Review of the Classical Oscillator.- 7.3. Quantization of the Oscillator (Coordinate Basis).- 7.4. The Oscillator in the Energy Basis.- 7.5. Passage from the Energy Basis to the X Basis.- 8. The Path Integral Formulation of Quantum Theory.- 8.1. The Path Integral Recipe.- 8.2. Analysis of the Recipe.- 8.3. An Approximation to U(t) for the Free Particle.- 8.4. Path Integral Evaluation of the Free-Particle Propagator.- 8.5. Equivalence to the Schrödinger Equation.- 8.6. Potentials of the Form V=a + bx + cx2 + d? + ex?.- 9. The Heisenberg Uncertainty Relations.- 9.1. Introduction.- 9.2. Derivation of the Uncertainty Relations.- 9.3. The Minimum Uncertainty Packet.- 9.4. Applications of the Uncertainty Principle.- 9.5. The Energy-Time Uncertainty Relation.- 10. Systems with N Degrees of Freedom.- 10.1. N Particles in One Dimension.- 10.2. More Particles in More Dimensions.- 10.3. Identical Particles.- 11. Symmetries and Their Consequences.- 11.1. Overview.- 11.2. Translational Invariance in Quantum Theory.- 11.3. Time Translational Invariance.- 11.4. Parity Invariance.- 11.5. Time-Reversal Symmetry.- 12. Rotational Invariance and Angular Momentum.- 12.1. Translations in Two Dimensions.- 12.2. Rotations in Two Dimensions.- 12.3. The Eigenvalue Problem of Lz.- 12.4. Angular Momentum in Three Dimensions.- 12.5. The Eigenvalue Problem of L2 and Lz.- 12.6. Solution of Rotationally Invariant Problems.- 13. TheHydrogen Atom.- 13.1. The Eigenvalue Problem.- 13.2. The Degeneracy of the Hydrogen Spectrum.- 13.3. Numerical Estimates and Comparison with Experiment.- 13.4. Multielectron Atoms and the Periodic Table.- 14. Spin.- 14.1. Introduction.- 14.2. What is the Nature of Spin?.- 14.3. Kinematics of Spin.- 14.4. Spin Dynamics.- 14.5. Return of Orbital Degrees of Freedom.- 15. Addition of Angular Momenta.- 15.1. A Simple Example.- 15.2. The General Problem.- 15.3. Irreducible Tensor Operators.- 15.4. Explanation of Some Accidental Degeneracies.- 16. Variational and WKB Methods.- 16.1. The Variational Method.- 16.2. The Wentzel-Kramers-Brillouin Method.- 17. Time-Independent Perturbation Theory.- 17.1. The Formalism.- 17.2. Some Examples.- 17.3. Degenerate Perturbation Theory.- 18. Time-Dependent Perturbation Theory.- 18.1. The Problem.- 18.2. First-Order Perturbation Theory.- 18.3. Higher Orders in Perturbation Theory.- 18.4. A General Discussion of Electromagnetic Interactions.- 18.5. Interaction of Atoms with Electromagnetic Radiation.- 19. Scattering Theory.- 19.1. Introduction.- 19.2. Recapitulation of One-Dimensional Scattering and Overview.- 19.3. The Born Approximation (Time-Dependent Description).- 19.4. Born Again (The Time-Independent Approximation).- 19.5. The Partial Wave Expansion.- 19.6. Two-Particle Scattering.- 20. The Dirac Equation.- 20.1. The Free-Particle Dirac Equation.- 20.2. Electromagnetic Interaction of the Dirac Particle.- 20.3. More on Relativistic Quantum Mechanics.- 21. Path IntegralsII.- 21.1. Derivation of the Path Integral.- 21.2. Imaginary Time Formalism.- 21.3. Spin and Fermion Path Integrals.- 21.4. Summary.- A.l. Matrix Inversion.- A.2. Gaussian Integrals.- A.3. Complex Numbers.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e`An excellent text....The postulates of quantum mechanics and  the mathematical underpinnings are discussed in a clear, succint  manner.' - \u003cem\u003eAmerican Scientist,\u003c\/em\u003e from a review of the First  Edition\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eMathematical Introduction.- Review of Classical Mechanics.- All Is Not Well With Classical Mechanics. The Postulates-A General Discussion.- Simple Problems in One Dimension.- The Classical Limit.- The Harmonic Oscillator.- The Path Integral Formulation of Quantum Theory.- The Heisenberg Uncertainty Relations.- Systems with N Degrees of Freedom.- Symmetries and Their Consequences.- Rotational Invariance and Angular Momentum.- The Hydrogen Atom.- Spin.- Addition of Angular Momenta.- Variational and WKB Methods.- Time-Independent Perturbation Theory.- Time-Dependent Perturbation Theory.- Scattering Theory.- The Dirac Equation.- Path Integrals-II.- Appendix.- Answers to Selected Exercises.- Table of Constants.- Index","brand":"Springer","offers":[{"title":"Default Title","offer_id":48864356172119,"sku":"9780306447907","price":67.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780306447907.jpg?v=1722271561"},{"product_id":"the-principia-the-authoritative-translation-and-guide-9780520290877","title":"The Principia The Authoritative Translation and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. This is a modern translation based on the 1726 edition.","brand":"University of California Press","offers":[{"title":"Default Title","offer_id":48864903922007,"sku":"9780520290877","price":68.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780520290877.jpg?v=1722273274"},{"product_id":"mathematical-foundations-of-quantum-mechanics-9780691028934","title":"Mathematical Foundations of Quantum Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eShows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. This title presents the theory of Hermitean operators and Hilbert spaces.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"It remains indispensable to those who desire a rigorous presentation of the foundations of the subject.\"--Quarterly of Applied Mathematics \"The translator and publisher have performed a service in making the classic available to a wider circle of English-speaking readers. It remains indispensable to those who desire a rigorous presentation of the foundations of the subject.\"--A. F. Stevenson, Quarterly of Applied Mathematics","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865515635031,"sku":"9780691028934","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"effective-computation-in-physics-9781491901533","title":"Effective Computation in Physics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWritten by two PhDs in nuclear engineering, this book includes practical examples drawn from a working knowledge of physics concepts. You'll learn how to use the Python programming language to perform everything from collecting and analyzing data to building software and publishing your results.","brand":"O'Reilly Media","offers":[{"title":"Default Title","offer_id":48867304112471,"sku":"9781491901533","price":32.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781491901533.jpg?v=1722282694"}],"url":"https:\/\/bookcurl.com\/collections\/mathematical-computational-theoretical-physics.oembed?page=18","provider":"Book Curl","version":"1.0","type":"link"}