Mathematical / Computational / Theoretical physics Books
IOP Publishing Studies in Theoretical Physics Volume 2
Book Synopsis
£23.75
Institute of Physics Publishing Hypersonic Shock Wave Turbulent Boundary Layers
Book SynopsisHypersonic turbulent boundary layers are a fundamental phenomenon in high-speed flight. The interaction of shock waves with hypersonic turbulent boundary layers has a critical impact on vehicle aerothermodynamic loading including surface heat transfer, pressure and skin friction. This book provides a comprehensive exposition of hypersonic turbulent boundary layers, including the fundamental mathematical theory, structure of equilibrium boundary layers, and extensive surveys of Direct Numerical Simulation (DNS), Large Eddy Simulation (LES) and experiments. It also provides a roadmap for both future experiments and DNS and LES simulations. Descriptions of hypersonic ground test facilities is included as an appendix. As a research and reference text, this book would appeal to graduate students and researchers in hypersonics and could be the basis for professional training courses.Key FeaturesProvides a summary of the state-of-th
£114.00
IOP Publishing Polynomial Paradigms
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£23.75
Institute of Physics Publishing Astronomical Python
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£71.25
Institute of Physics Publishing Ultra Poincaré Chaos and Alpha Labeling
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£108.00
Institute of Physics Publishing Innovative Quantum Computing
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£108.00
Institute of Physics Publishing Functionally Graded Structures
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£108.00
Institute of Physics Publishing Functionally Graded Structures
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£23.75
Institute of Physics Publishing Handbook of Exact Solutions to the Nonlinear
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£23.75
Institute of Physics Publishing Advances in Modelling and Analysis of
Book SynopsisThis book brings together the latest research and developments in the area of bending, buckling and vibration analysis of functionally graded nano and microstructures. It is essential material for graduate students, researchers, and professionals in mechanical & civil engineering, applied mathematics, materials science and related fields.
£108.00
Institute of Physics Publishing Advances in Modelling and Analysis of
Book Synopsis
£23.75
Institute of Physics Publishing Fourier Transform and Its Applications Using
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£67.50
Institute of Physics Publishing Composite Materials Second Edition
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£108.00
Institute of Physics Publishing Composite Materials Second Edition Mathematical
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£23.75
Institute of Physics Publishing Introduction to Computational Physics for
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£23.75
Institute of Physics Publishing Introduction to Computational Physics for
Book SynopsisThis book offers a practical introduction to computational physics for undergraduates, teaching essential numerical methods and programming skills to solve real-world physics problems across various domains.
£71.25
Springer The Quantum Dice An Introduction to Stochastic Electrodynamics 75 Fundamental Theories of Physics
Book Synopsis Audience: The volume will be of interest to scholars and postgraduate students of theoretical and mathematical physics, foundations and philosophy of physics, and teachers of theoretical physics and quantum mechanics, electromagnetic theory, and statistical physics (stochastic processes).Table of ContentsPreface. Part I: Prelude. 1. Quantum mechanics and the real world. 2. Quantum mechanics as a stochastic theory. 3. Elements of electrodynamics. Part II: Theme. 4. The zeropoint radiation field. 5. The equilibrium radiation field. 6. Environmental effects through the zero-point field. 7. The harmonic oscillator. 8. Quantum properties of other simple systems. 9. Breakdown of detailed energy balance. Part III: Coda. 10. Linear stochastic electrodynamics. 11. Radiative corrections in linear SED. 12. The wave properties of matter. 13. Stochastic optics. 14. Outlook and some corollaries. Bibliography. Index.
£284.99
Scarecrow Press The Problem of Information
Book SynopsisInformation can be conceptualized in two fundamentally yet contradictory ways_it appears in the world as both a physical and a cognitive phenomenon. The dilemma information specialists face is similar to that of physicists who must cope with light as both a wave and a particle. Unlike physics, however, information science has yet to develop a unified theory that unites the contradictory conceptions of its essential theoretical object. While there are numerous books today that address information science as a scholarly discipline, for the most part they assume a prior knowledge of the field. The Problem of Information provides an accessible introduction to the essential concepts and research issues of information science while exploring the indeterminate nature of information as a theoretical object. Signifying how information science contributes to the disciplines from which it borrows, this book provides insight into computer science, cognitive psychology, semiotics, sociology, and Trade ReviewA scholarly but highly accessible text recommended for inclusion with Library Science and Information Science reference collections because of its expertly detailed presentation of critical meta-issues concerning texts and references of all subjects. * Wisconsin Bookwatch *Table of ContentsChapter 1 Preface Chapter 2 1 Information Science and the Problem of Information Chapter 3 2 Paradigms and Metaphors Chapter 4 3 The Physical Metaphor Chapter 5 4 The Physical Metaphor Illustrated Chapter 6 5 The Cognitive Metaphor Chapter 7 6 The Cognitive Metaphor Illustrated Chapter 8 7 Representation of Information Chapter 9 8 Representation Illustrated Chapter 10 9 Relevance Chapter 11 10 Information as a Social Phenomena Chapter 12 11 Semiotics for Information Science Chapter 13 Bibliography Chapter 14 Index Chapter 15 About the Author
£50.40
Birkhauser Boston Inc Riemannian Geometry
Book SynopsisRiemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.Trade Review"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." -Publicationes Mathematicae "This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises." -Newsletter of the EMS "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." -Revue Romaine de Mathematiques Pures et Appliquees "This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." -Monatshefte F. MathematikTable of ContentsPreface to the 1st edition * Preface to the 2nd edition * Preface to the English edition * How to use this book * 0. Differentiable Manifolds * 1. Riemannian Metrics * 2. Affine Connections; Riemannian Connections * 3. Geodesics; Convex Neighborhoods * 4. Curvature * 5. Jacobi Fields * 6. Isometric Immersions * 7. Complete Manifolds; Hopf-Rinow and Hadamard Theorems * 8. Spaces of Constant Curvature * 9. Variations of Energy * 10. The Rauch Comparison Theorem * 11. The Morse Index Theorem * 12. The Fundamental Group of Manifolds of Negative Curvature * 13. The Sphere Theorem * References * Index
£35.99
Birkhauser Boston Mathematical Theory of Diffraction Progress in Mathematical Physics 35
Book SynopsisIndeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his often-cited diffraction solution is presented only as an application of a much more general set of mathematical results.Trade ReviewFrom the reviews: “This is a very nice book for those interested in the theory of diffraction since it presents, for the first time in English, the strikingly original work of Sommerfeld—which marks a milestone in optical theory—enriched with historical background and technical details. The interest of this book is not only historical but also technical as it presents a surprisingly rich and complex mix of pure and applied mathematics.”(MATHEMATICAL REVIEWS) "This book offers the first publication in English of Sommerfeld’s original work, together with extensive notes by the translators, and it can be recommended to anyone interested in the theory of diffraction. … The translator’s notes (64 pages) are very illuminating for the reader by providing a lot of historical remarks, technical details, and a nice account of previous diffraction analyses of Kirchhoff and Poincaré." (Johannes Elschner, Zentralblatt MATH, Vol. 1109 (11), 2007)Table of ContentsMathematical Theory of Diffraction.- 1. General problem formulation.- 2. Expansions in Bessel functions.- 3. Transition from ?u = 0 to ?u + k2u = 0.- 4. Bessel functions as the simplest examples.- 5. Everywhere finite solutions.- 6. Solutions with a singularity.- 7. Graphical treatment of the simplest multivalued solution.- 8. Application to diffraction.- Tafel.- Translators’ Notes.- References.- Appendix I: The History and Present State of Discoveries relating to Vision, Light and Colours.- Appendix II: On the Mathematical Theory of Diffraction Phenomena.
£85.49
Birkhäuser The Theory of the Top Introduction to the Kinematics and Kinetics of the Top v 1
Book Synopsisto the Kinematics and Kinetics of the Top.- The kinematics of the top.- to kinetics (statics and impulse theory).- The Euler equations with further development of the kinetics of the top.Trade Review"This book is a translation by Raymond J. Nagem and Guido Sandri of the German original [F. Klein and A. Sommerfeld, Über die Theorie des Kreisels. Heft I, Teubner, Leipzig, 1897; JFM 28.0658.04]. Various editions of this book, which presents fundamental results in the theory of the motion of the top, have appeared in German...This English translation is of great scientific interest and importance. The content and sequence of exposition of this book faithfully follow the original work...The translators' remarks are presented separately and are intended to ensure an accurate account of the historical development of the theory of the top. This translation is of a high scientific caliber and makes one look forward to the translation of the second volume by Nagem and Sandri." —Mathematical Reviews "It is very positive that, by producing the English edition of this book, a large group of contemporary scientists and especially mathematicians can admire and appreciate what a broad understanding mathematicians like Felix Klein, not only of their field but also of physics, had. Very interesting ample notes of the translators (about 50 pages), where also various motions are worked out, physically interpreted and excellently illustrated by numerous figures, and a nice preface by Michael Eckert make this volume even more interesting to read than the German original." —Zentralblatt MATHTable of Contentsto the Kinematics and Kinetics of the Top.- The kinematics of the top.- to kinetics (statics and impulse theory).- The Euler equations with further development of the kinetics of the top.
£104.49
Birkhauser Boston Inc A New Approach to Differential Geometry using
Book SynopsisDifferential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford''s Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space.Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.Trade ReviewFrom the reviews:“The book is written in a very pedagogical style and seems to be the mirror of the original ideas of its author in the area of mathematical physics. … The typography is excellent and the figures are beautiful. … Graduate and advanced undergraduate students in physics and even in mathematics will find in this book an understanding of the contribution of Clifford algebras to the field of differential geometry as well as motivation to continue their study.” (Pierre Anglès, Mathematical Reviews, March, 2014)“The book under review is perfectly organized textbook for undergraduate students in mathematics and physics due to the large experience of the author. … The author provides quite interesting historical analysis … . This book is a natural continuation of the previous book of the author … .” (Milen Hristov, JGSP Journal of Geometry and Symmetry in Physics, Vol. 33, 2014)“The author develops the differential geometry of curves and surfaces by using Clifford’s geometric algebra. … The book is enriched with several very interesting and extensive historical and biographical presentations. … it can serve as an accompanying source for someone who studies differential geometry, or for someone who wants to look at known facts from a different viewpoint. Also, it is ideal for studying geometry through historical development, and thus this book could also be useful for reading courses on certain aspects of geometry.” (A. Arvanitoyeorgos, Zentralblatt MATH, Vol. 1232, 2012)Table of ContentsPreface.- Introduction.- Clifford Algebra in Euclidean 3-Space.- Clifford Algebra in Minkowski 4-Space.- Clifford Algebra in Flat n-Space.- Curved Spaces.- The Gauss-Bonnet Formula.- Non-Euclidean (Hyperbolic) Geometry.- Some Extrinsic Geometry in E^n.- Ruled Surfaces Continued.- Lines of Curvature.- Minimal Surfaces.- Some General Relativity.- Matrix Representation of a Clifford Algebra.- Construction of Coordinate Dirac Matrices.- A Few Terms of the Taylor's Series for the Urdī-Copernican Model for the Outer Planets.- A Few Terms of the Taylor's Series for Kepler's Orbits.- References.- Index.
£75.99
MP-AMM American Mathematical Collected Papers on Wave Mechanics
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£55.10
MP-AMM American Mathematical Mirror Symmetry
Book SynopsisTrade Review“This book, a product of the collective efforts of the lecturers at the School organized ... by the Clay Mathematics Institute, is a valuable contribution to the continuing intensive collaboration of physicists and mathematicians. It will be of great value to young and mature researchers in both communities interested in this fascinating modern grand unification project.” - Yuri Manin, Max Planck Institute for Mathematics, Bonn, GermanyTable of Contents Part 1. Mathematical Preliminaries: Differential geometry Algebraic geometry Differential and algebraic topology Equivariant cohomology and fixed-point theorems Complex and Kahler geometry Calabi-Yau manifolds and their moduli Toric geometry for string theory Part 2. Physics Preliminaries: What is a QFT? QFT in $d=0$ QFT in dimension 1: Quantum mechanics Free quantum field theories 1 + 1 dimensions $\mathcal{N} = (2,2)$ supersymmetry Non-linear sigma models and Landau-Ginzburg models Renormalization group flow Linear sigma models Chiral rings and topological field theory Chiral rings and the geometry of the vacuum bundle BPS solitons in $\mathcal{N}=2$ Landau-Ginzburg theories D-branes Part 3. Mirror Symmetry: Physics Proof: Proof of mirror symmetry Part 4. Mirror Symmetry: Mathematics Proof: Introduction and overview Complex curves (non-singular and nodal) Moduli spaces of curves Moduli spaces $\bar{\mathcal M}_{g,n}(X,\beta)$ of stable maps Cohomology classes on $\bar{\mathcal M}_{g,n}$ and ($\bar{\mathcal M})_{g,n}(X,\beta)$ The virtual fundamental class, Gromov-Witten invariants, and descendant invariants Localization on the moduli space of maps The fundamental solution of the quantum differential equation The mirror conjecture for hypersurfaces I: The Fano case The mirror conjecture for hypersurfaces II: The Calabi-Yau case Part 5. Advanced Topics: Topological strings Topological strings and target space physics Mathematical formulation of Gopakumar-Vafa invariants Multiple covers, integrality, and Gopakumar-Vafa invariants Mirror symmetry at higher genus Some applications of mirror symmetry Aspects of mirror symmetry and D-branes More on the mathematics of D-branes: Bundles, derived categories and Lagrangians Boundary $\mathcal{N}=2$ theories References Bibliography Index
£135.85
MP-AMM American Mathematical Dirichlet Branes and Mirror Symmetry
Book SynopsisResearch in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.
£109.25
MP-AMM American Mathematical Continuous Symmetries and Integrability of
Book SynopsisFocuses on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices.Table of Contents Introduction Integrability and symmetries of nonlinear differential and difference equations in two independent variables Symmetries as integrability criteria Construction of lattice equations and their Lax pair Transformation groups for quad lattice equations Algebraic entropy of the nonautonomous Boll equations Translation from Russian of R. I. Yamilov, ''On the classification of discrete eqautions'', reference [841] No quad-graph equation can have a generalized symmetry given by the narita-Itoh-Bogoyavlensky equation Bibliography Subject Index
£99.90
MP-AMM American Mathematical Topology Calgebras and String Duality
Book SynopsisBased on CBMS lectures given at Texas Christian University, this book describes some of the interplay between string dualities and topology and operator algebras. It shows how several seemingly disparate subjects are closely linked with one another. It gives readers an overview of some areas of research.
£32.36
MP-AMM American Mathematical Introduction to Analytic and Probabilistic Number
Book SynopsisTrade ReviewThe author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate" - Mathematical ReviewsTable of Contents Elementary methods Some tools from real analysis Prime numbers Arithmetic functions Average orders Sieve methods Extremal orders The method of van der Corput Diophantine approximation Complex analysis methods The Euler gamma function Generating functions: Dirichlet series Summation formulae The Riemann zeta function The prime number theorem and the Riemann hypothesis The Selberg-Delange method Two arithmetic applications Tauberian theorems Primes in arithmetic progressions Probabilistic methods Densities Limiting distributions of arithmetic functions Normal order Distribution of additive functions and mean values of multiplicative functions Friable integers The saddle-point method Integers free of small factors Bibliography Index
£108.00
Taylor & Francis Inc Hopf Algebras and Quantum Groups
Book SynopsisThis volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It presents state-of-the-art papers - selected from over 65 participants representing nearly 20 countries and more than 45 lectures - on the theory of Hopf algebras, including multiplier Hopf algebras and quantum groups.Table of ContentsLifting of Nichols algebras of type A2 and pointed Hopf algebras of order p4; survey of cross product bialgebras; a Morita-Takeuchi context for graded coalgebras; coalgebra-Galois extensions from the extension theory point of view; separable functors for the category of Doi-Hopf modules II; cyclic cohomology of coalgebras, coderivations and De Rham cohomology; Schur-Weyl categories and non-quasiclassical Weyl type formula; a generalized power map for Hopf algebras; associated varieties for classical lie superalgebras; algebraic versions of a finite-dimensional quantum groupoid; quasi-Hopf algebras and the centre of a tensor category; an easy proof for the uniqueness of integrals; the coquasitriangular Hopf algebra associated to a rigid Yang-Baxter coalgebra; on regularity of the algebra of covariants for actions of pointed Hopf algebras on regular commutative algebras; a survey on multiplier Hopf algebras.
£237.50
Taylor & Francis Inc Fluid Dynamics and Dynamos in Astrophysics and
Book SynopsisThe increasing power of computer resources along with great improvements in observational data in recent years have led to some remarkable and rapid advances in astrophysical fluid dynamics. The subject spans three distinct but overlapping communities whose interests focus on (1) accretion discs and high-energy astrophysics; (2) solar, stellar, and galactic magnetic fields; and (3) the geodynamo, planetary magnetic fields, and associated experiments. This book grew out of a special conference sponsored by the London Mathematical Society with the support of EPSRC that brought together leading researchers in all of these areas to exchange ideas and review the status of the field.The many interesting problems addressed in this volume concern:Table of ContentsAccretion Discs. Discs with Mhd Turbulence and Their Response to Orbiting Planets. Mixing at the Surface of White Dwarf Stars. Pulsar Magnetospheres. Magnetic Fields in Galaxies. Self-Consistent Mean Field Electrodynamics in Two and Three Dimensions. The Solar Tachocline: Formation, Stability and Its Role in the Solar Dynamo. Magnetoconvection. Alfvén Waves Within the Earth's Core. Turbulence Models and Plane Layer Dynamos. Planetary and Stellar Dynamos: Challenges for Next Generation Models. Convection in Rotating Spherical Fluid Shells and Its Dynamo States. Laboratory Experiments on Liquid Metal Dynamos and Liquid Metal Mhd Turbulence. Index.
£166.25
Brewers Publications Standards of Brewing A Practical Approach to
Book SynopsisThis book is for all brewers, whether they consider brewing to be art or science. Its simple aim is to highlight what measurements (the numbers) can do to produce product consistency and excellence, by achieving control over raw materials and the brewing process.
£27.00
de Gruyter Theoretical and Computational Methods in Mineral
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£38.95
Pingree-Hill Publishing Physics Beyond the Light Barrier The Source of Parity Violation Tachyons and A Derivation of Standard Model Features
£31.30
Cambridge University Press All the Math You Missed
Book SynopsisThe second edition of this bestselling book provides an overview of the key topics in undergraduate mathematics, allowing beginning graduate students to fill in any gaps in their knowledge. With numerous examples, exercises and suggestions for further reading, it is a must-have for anyone looking to learn some serious mathematics quickly.Trade Review'Reading Garrity is like talking with your favorite uncle - he tells you the essential stories, in a clear and colorful way, and you get just what you need to explore further. The topics are well chosen (and there are more in this new edition). His points of view enrich the reader - not only do you learn what to know, but how to know it. I wish I had had this book when I started graduate school.' John McCleary, Vassar College'I admired one of the intentions behind the first edition of Garrity's All the Math You Missed: to give students the tools to appreciate the applications of mathematics without painting a simplistic picture of 'Applied Mathematics'. In this second edition, he takes this idea to the next level by introducing four additional chapters, dealing primarily with number theory and category theory.' Robert Kotiuga, Boston University'I felt like I was terribly underprepared for graduate school, and Garrity's book helped me fill in some of those gaps. But far more importantly, the welcoming tone made me see that I wasn't alone in feeling anxious, and it made grad school feel less intimidating.' Daniel Erman, University of Wisconsin, Madison'Incoming graduate students would find the book most useful … this book is designed to provide some useful guidance … The writing is clear and easy to read.' Bill Satzer, MAA ReviewsTable of ContentsOn the structure of mathematics; Brief summaries of topics; 1. Linear Algebra; 2. ε and δ real analysis; 3. Calculus for vector-valued functions; 4. Point set topology; 5. Classical Stokes' theorems; 6. Diff erential forms and Stokes' theorem; 7. Curvature for curves and surfaces; 8. Geometry; 9. Countability and the Axiom of Choice; 10. Elementary number theory; 11. Algebra; 12. Algebraic number theory; 13. Complex analysis; 14. Analytic number theory; 15. Lebesgue integration; 16. Fourier analysis; 17. Diff erential equations; 18. Combinatorics and probability theory; 19. Algorithms; 20. Category theory; Appendix A. Equivalence relations; References; Index.
£22.79
Cambridge University Press A Students Guide to the Ising Model
Book SynopsisThe Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student''s Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.Table of Contents1. The Ising model; 2. Finite Ising systems; 3. Partial summations and effective interactions; 4. Infinite Ising systems in one dimension; 5. The Onsager solution and exact series expansions; 6. The mean-field approach; 7. Position-space renormalization-group techniques; Index.
£17.99
Cambridge University Press Quantum Measurement
Book SynopsisThis book adopts a novel, physics-first approach to quantum measurement, using physical experiments as the basis to describe the underlying mathematical formalism. The text is an excellent introduction for students wanting to learn more about measurement theory, and the wide selection of exercises make this book ideal for courses.Trade Review'There is a spot in the great John Archibald Wheeler's autobiography where he writes, 'Many students entering upon their study of quantum mechanics are told that [the theory] shows its essence in the equation Erwin Schrödinger published in 1926. … But, to my mind, the Schrödinger wave fails to capture the true essence of quantum mechanics. That essence is measurement.' Were Wheeler but alive today to see this marvelous book! His outlook shaped my own approach to the foundations of quantum theory, but this book is the first living instantiation of Wheeler's deep thought to physical practice itself. It will be a standard reference for years to come.' Christopher Fuchs, University of Massachusetts Boston'This is a fascinating exploration of quantum measurement, going far beyond the standard textbook coverage and guided by the most recent experiments. Essential reading for quantum physicists and engineers and a valuable reference for all those seeking an in-depth understanding of fundamental quantum processes and solid-state quantum devices.' Jean-Michel Raimond, Sorbonne Université'Theoretical and experimental physicists mean different things when they refer to the quantum measurement problem. In this book two world leading quantum physicists, one a theoretician and one an experimentalist, give a comprehensive treatment of the real measurement problem: how to intervene and control the quantum world. This problem is at the foundation of the rapidly developing quantum technology industry. In so doing, they recast moribund questions in quantum foundations and provide the tools for more effective quantum technology.' Gerard Milburn, The University of QueenslandTable of Contents1. Introduction to quantum physics and measurement; 2. Projective measurement; 3. Generalized measurement; 4. Weak measurement; 5. Continuous measurement – diffusive case; 6. Continuous measurement – quantum jump case; 7. Linear detectors; 8. Quantum amplifcation; 9. Measurement-related phenomena and applications; 10. Feedback and control; 11. Epilogue – what does it all mean?
£52.24
Cambridge University Press Continuous Groups for Physicists
Book SynopsisContinuous Groups for Physicists is written for graduate students as well as researchers working in the field of theoretical physics. The text has been designed uniquely and it balances coverage of advanced and non-standard topics with an equal focus on the basic concepts for a thorough understanding. The book describes the general theory of Lie groups and Lie algebras, the passage between them, and their unitary/ Hermitian representations in the quantum mechanical setting. The four infinite classical families of compact simple Lie groups and their representations are covered in detail. Readers will benefit from the discussions on topics like spinor representations of real orthogonal groups, the Schwinger representation of a group, induced representations, systems of coherent states, real symplectic groups important in quantum mechanics, Wigner''s theorem on symmetry operations in quantum mechanics, ray representations of Lie groups, and groups associated with non-relativistic and relaTrade Review'… this book is a very useful and very well conceived introductory course to the theory of Lie groups, Lie algebras and their representation theory, mainly intended for theoretical physicists. The style makes the book very readable, with special focus on the physical interpretation, with problems and references that lead the reader to more specialized topics.' Rutwig Campoamor Stursberg, ZB MathTable of Contents1. Basic Group Theory and Representation Theory; 2. The Symmetric Group; 3. Rotations in 2 and 3 Dimensions, SU(2); 4. General Theory of Lie Groups and Lie Algebras; 5. Compact Simple Lie Algebras – Classification and Irreducible Representations; 6. Spinor Representations of the Orthogonal Groups; 7. Properties of Some Reducible Group Representations, and Systems of Generalised Coherent States; 8. Structure and some Properties and Applications of the Groups Sp(2n, R); 9. Wigner's Theorem, Ray Representations and Neutral Elements; 10. Groups Related to Space-Time.
£47.49
Cambridge University Press A General Relativity Coursebook
Book SynopsisThis book provides a gentle introduction to general relativity, striking a balance between ease of use and precision. As a coursebook, it matches a one-semester undergraduate class perfectly, concentrating on subjects of relevance today. Numerate readers will learn to appreciate the power and beauty of Einstein's creation for themselves.Trade Review'The approach in the book is unique and especially valuable for the student first encountering General Relativity. It shows in detail the computational steps involved in gaining the main results.' Rainer Weiss, Massachusetts Institute of Technology'I think this is an excellent introduction to General Relativity and its important applications to cosmology and gravitational wave astrophysics for the serious student who has not experienced the necessary mathematical formalism before and who is willing to follow the text and attempt the many examples. It is an ideal lead in to many of the more sophisticated modern textbooks which are now available.' Prof. Sir James Hough, OBE FRS FRSETable of ContentsPreface; 1. The principle of equivalence; 2. Tensors; 3. Matter in space-time; 4. Geodesics; 5. Einstein's equations; 6. Schwarzschild's solution; 7. Cosmology; 8. Gravitational waves; 9. A guide to further reading; References; Index.
£22.99
Cambridge University Press The Large Scale Structure of SpaceTime
Book SynopsisFirst published in 1973, this influential work discusses Einstein''s General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form ''black holes''; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein''s field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.Trade Review'The book is a masterpiece, written by sure hands.' Science'Certain to rank as an outstanding classic of the current advance of relativity theory.' Contemporary Physics'La parution de ce livre est un événement important …' La Recherche'This special 50th anniversary republication of this famous monograph is well welcome addtion to the community. This text helped lay the groundwork for gravitational research for the next 50 years; inspiring and educating generations of researchers. I recommend this text to anyone who is interested in learning the foundation of gravitational research.' Kymani Tieral Keden Armstrong-Williams, https://physicsbookreviewer.blogspot.com/Table of ContentsForeword to the Anniversary Edition Abhay Ashtekar; Preface to the Anniversary Edition George F. R. Ellis; Preface; 1. The role of gravity; 2. Differential geometry; 3. General relativity; 4. The physical significance of curvature; 5. Exact solutions; 6. Causal structure; 7. The Cauchy problem in General Relativity; 8. Space-time singularities; 9. Gravitational collapse and black holes; 10. The initial singularity in the universe; Appendixes; References; Notation; Index.
£26.59
Cambridge University Press Einsteins General Theory of Relativity
Book SynopsisEinstein''s general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein''s theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein''s field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.Table of Contents1. Introduction; 2. Metrics; 3. Geodesics; 4. The geometry of curved spaces; 5. Einstein's field equations; 6. Solutions of Einstein's equations in empty space; 7. Cosmology and the Big Bang; Appendix A. Tensors of type (p; q); Appendix B. The Riemann tensor; Appendix C. The energy-momentum tensor; Appendix D. The Schwarzschild metric; Appendix E. Robertson-Walker space-time; References; Index.
£25.64
Cambridge University Press The Geometry of Cubic Hypersurfaces
Book SynopsisThis detailed introduction to cubic hypersurfaces and all the techniques needed to study them leads the reader from classical topics to recent developments studying four-dimensional cubic hypersurfaces. With exercises and careful references to the wider literature, this is an ideal text for graduate students and researchers in algebraic geometry.Trade Review'What a beautiful book. Several turning points in algebraic geometry have in their background a cubic hypersurface. This superb exposition, by one of the masters in the field, takes the reader, in a friendly manner, through the fascinating, and occasionally mysterious, properties of these geometrical objects, and through them offers a glimpse of the underlying Hodge theory, of the theory of periods, the theory of motives, and the theory of derived categories. Graduate students, researchers, and colleagues will all find this unified treatment of cubic hypersurfaces profoundly inspiring.' Enrico Arbarello, Accademia Nazionale dei Lincei'This is just a fantastic book for students and experts alike. The geometry of cubics is a wonderful mix of the classical and the modern; Huybrechts consolidates the diverse results into a coherent account for the first time. His famously lucid writing clearly conveys the beauty of the geometry of these varieties. The book describes a plethora of techniques culminating in new (and really surprising) viewpoints on the subject.' Richard Thomas, Imperial College London'This exceedingly well written monograph covers material ranging from the very beginning of algebraic geometry, the 27 lines on a cubic surface, to highly relevant topical issues. The book will be a most valuable companion to algebraic geometers from graduate students to active researchers.' Klaus Hulek, Leibniz University HannoverTable of Contents1. Basic facts; 2. Fano varieties of lines; 3. Moduli spaces; 4. Cubic surfaces; 5. Cubic threefolds; 6. Cubic fourfolds; 7. Derived categories of cubic hypersurfaces; References; Subject index.
£66.49
Cambridge University Press DBranes
Book SynopsisThis book provides a self-contained introduction to D-branes, a key theoretical tool in understanding strongly coupled superstring theory and M-theory. A textbook for graduate courses on modern string theory and an indispensable reference for seasoned practitioners, this 2003 title has been reissued as an Open Access publication on Cambridge Core.Table of ContentsList of inserts; Preface; 1. Overview and overture; 2. Relativistic strings; 3. A closer look at the world-sheet; 4. Strings on circles and T-duality; 5. Background fields and world-volume actions; 6. D-branes tension and boundary states; 7. Supersymmetric strings; 8. Supersymmetric strings and T-duality; 9. World-volume curvature couplings; 10. The geometry of D-branes; 11. Multiple D-branes and bound states; 12. Strong coupling and string duality; 13. D-branes and geometry I; 14. K3 orientifolds and compactification; 15. D-branes and geometry II; 16. Towards M- and F-theory; 17. D-branes and black holes; 18. D-branes, gravity and gauge theory; 19. The holographic renormalisation group; 20. Taking stock; References; Index.
£999.99
Cambridge University Press Supersymmetric Solitons
Book SynopsisThis book summarizes major advances in critical solitons in supersymmetric theories, and their implications for understanding basic dynamical regularities of non-supersymmetric theories. First published in 2009, this title has been reissued as an Open Access publication on Cambridge Core.Table of Contents1. Introduction; Part I. Short Excursion: 2. Central charges in superalgebras; 3. The main building blocks; Part II. Long Journey: 4. Non-Abelian strings; 5. Less supersymmetry; 6. Non-BPS non-Abelian strings; 7. Strings on the Higgs branches; 8. Domain walls as D-brane prototypes; 9. Wall-string junctions; 10. Conclusions; Appendixes; References; Index.
£26.59
Cambridge University Press The Pinch Technique and its Applications to
Book SynopsisThis monograph describes the pinch technique and its evolution from simple one-loop beginnings to a systematic method at all orders of perturbation theory and then to fully gauge-invariant SchwingerDyson equations, leading to its many applications. This 2011 title has been reissued as an Open Access publication on Cambridge Core.Table of ContentsIntroduction; 1. The pinch technique at one loop; 2. Advanced pinch technique – still one loop; 3. Pinch technique to all orders; 4. The pinch technique in the Batalin–Vilkovisky framework; 5. The gauge technique; 6. Schwinger–Dyson equations in the pinch technique framework; 7. Non-perturbative gluon mass and quantum solitons; 8. Nexuses, sphalerons, and fractional topological charge; 9. A brief summary of d=3 NAGTs; 10. The pinch technique for electroweak theory; 11. Other applications of the pinch technique; Appendix; Index.
£999.99
LEGARE STREET PR The Scientific Papers Of J. Willard Gibbs Ph.d.
Book Synopsis
£25.60
Taylor & Francis Ltd An Introduction To Chaotic Dynamical Systems
Book SynopsisThere is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science. The results have been truly exciting: systems which once seemed completely intractable from an analytic point of view can now be understood in a geometric or qualitative sense rather easily. Scientists and engineers realize the power and the beauty of the geometric and qualitative techniques. These techniques apply to a number of important nonlinear problems ranging from physics and chemistry to ecology and economics.Computer graphics have allowed us to view the dynamical behavior geometrically. The appearance of incredibly beautiful and intricate objects such as the Mandelbrot set, the Julia set, and other fractals have really piqued interest in the field.This is text is aimed primarily at advanced undergraduate and beginning graduate students. Throughout, the author emphasizes the mathematical aspects of the theory of discrete dynamicTable of ContentsI One Dimensional Dynamics1.A Visual and Historical Tour2.Examples of Dynamical Systems3.Elementary Definitions4.Hyperbolicity5.An Example: The Logistic Family6.Symbolic Dynamics7.Topological Conjugacy8.Chaos9.Structural Stability10.Sharkovsky's Theorem11.The Schwarzian Derivative 12.Bifurcations13.Another View of Period Three14.Period-Doubling Route to Chaos15.Homoclinic Points and Bifurcations16.Maps of the Circle17.Morse-Smale DiffeomorphismsII Complex Dynamics18.Quadratic Maps Revisited19.Normal Families and Exceptional Points 20.Periodic Points21.Properties of the Julia Set22.The Geometry of the Julia Sets23.Neutral Periodic Points24.The Mandelbrot Set25.Rational Maps26.The Exponential FamilyIII Higher Dimensional Dynamics27.Dynamics of Linear Maps28.The Smale Horseshoe Map29.Hyperbolic Toral Automorphisms30.Attractors31.The Stable and Unstable Manifold Theorem32.Global Results and Hyperbolic Maps33.The Hopf Bifurcation34.The Herron MapAppendix: Mathematical Preliminaries
£84.99
Taylor & Francis Ltd Quantum Continuous Variables
Book SynopsisQuantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions.The second edition of this book has been revised throughout, and updated to include new topics, such as boson sampling, coherent feedback, nonlinear control, as well as several new solved problems.The volume includes coverage of entanglement theory and quantum information protocols, and their connection with relevant experimental set-ups. General techniques for non-Gaussian manipulations also emerge as the treatment unfolds and are demonstrated with specific case studies.This book willTable of ContentsChapter 1: Introduction. Chapter 2: Quantum Mechanics: Instructions for Use. Chapter 3: Gaussian States of Continuous Variable Systems. Chapter 4: Phase Space Methods. Chapter 5: Gaussian Operations. Chapter 6: Diffusive Dynamics and Continuous Monitoring. Chapter 7: Entanglement of Continuous Variable Systems. Chapter 8: Quantum Information Protocols with Continuous Variables. Chapter 9: A Grand Tour of Continuous Variable Platforms. Appendix A: A Note on Fermions. Appendix B: Some Notable Facts About the Symplectic Group. Appendix C: The Wiener Process. Appendix D: Selected Mathematical Lore on Quantum Channels. Appendix E: Classical and Quantum Estimation Bounds. References. Index.
£82.64
Taylor & Francis Ltd A First Course In Chaotic Dynamical Systems
Book SynopsisA First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics. The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to sTable of ContentsPreface to the Second Edition, 1. A Visual and Historical Tour, 2. Examples of Dynamical Systems, 3. Orbits, 4. Graphical Analysis, 5. Fixed and Periodic Points, 6. Bifurcations, 7. The Quadratic Family, 8. Transition to Chaos, 9. Symbolic Dynamics, 10. Chaos, 11. Sharkovsky’s Theorem, 12. Role of the Critical Point, 13. Newton’s Method, 14. Fractals, 15. Complex Functions, 16. The Julia Set, 17. The Mandelbrot Set, 18. Other Complex Dynamical Systems, Appendices, Bibliography, Index
£41.79
