Mathematical / Computational / Theoretical physics Books
Cambridge University Press A Students Guide to the Ising Model
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£42.75
Cambridge University Press Notes on Hamiltonian Dynamical Systems
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£47.49
Cambridge University Press Notes on Hamiltonian Dynamical Systems
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£94.99
Cambridge University Press Fundamentals of Particle Physics
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£52.24
Cambridge University Press Gauge Symmetries Symmetry Breaking and GaugeInvariant Approaches
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£17.00
Cambridge University Press Noether Symmetries in Theories of Gravity
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£128.25
Cambridge University Press Gillespie Algorithms for Stochastic Multiagent Dynamics in Populations and Networks
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£17.00
Cambridge University Press A General Relativity Coursebook
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£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 Einsteins General Theory of Relativity
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£52.25
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 QCD as a Theory of Hadrons
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£142.50
Cambridge University Press QCD as a Theory of Hadrons
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£47.49
Cambridge University Press Kinks and Domain Walls
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£71.25
Cambridge University Press Higher Dimensional Algebraic Geometry
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£65.69
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.
£37.04
Cambridge University Press Moonshine beyond the Monster
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£35.14
Cambridge University Press Heavy Quark Physics
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£25.64
Cambridge University Press Heavy Quark Physics
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£76.00
Cambridge University Press Supersymmetric Solitons
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£80.75
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 Dynamics of Charged Particles and their Radiation Field
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£95.00
Cambridge University Press Electroweak Theory
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£26.59
Cambridge University Press Electroweak Theory
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£80.75
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.
£28.49
Cambridge University Press The Pinch Technique and its Applications to NonAbelian Gauge Theories
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£85.50
Cambridge University Press Nonequilibrium ManyBody Theory of Quantum Systems
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£64.59
Cambridge University Press Contextuality in Random Variables
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£144.00
Cambridge University Press The Theory of Hardys ZFunction 196 Cambridge Tracts in Mathematics Series Number 196
Book SynopsisHardy's Z-function, related to the Riemann zeta-function Î(s), was originally utilised by G. H. Hardy to show that Î(s) has infinitely many zeros of the form +it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line +it, is perhaps one of the best known and most important open problems in mathematics. Today Hardy's function has many applications; among others it is used for extensive calculations regarding the zeros of Î(s). This comprehensive account covers many aspects of Z(t), including the distribution of its zeros, Gram points, moments and Mellin transforms. It features an extensive bibliography and end-of-chapter notes containing comments, remarks and references. The book also provides many open problems to stimulate readers interested in further research.Table of Contents1. Definition of ζ(s), Z(t) and basic notions; 2. The zeros on the critical line; 3. The Selberg class of L-functions; 4. The approximate functional equations for ζk(s); 5. The derivatives of Z(t); 6. Gram points; 7. The moments of Hardy's function; 8. The primitive of Hardy's function; 9. The Mellin transforms of powers of Z(t); 10. Further results on Mk(s)$ and Zk(s); 11. On some problems involving Hardy's function and zeta moments; References; Index.
£105.45
Cambridge University Press Manifolds Tensors and Forms
Book SynopsisProviding a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.Table of ContentsPreface; 1. Linear algebra; 2. Multilinear algebra; 3. Differentiation on manifolds; 4. Homotopy and de Rham cohomology; 5. Elementary homology theory; 6. Integration on manifolds; 7. Vector bundles; 8. Geometric manifolds; 9. The degree of a smooth map; Appendixes; References; Index.
£61.74
Cambridge University Press The Cosmological Singularity
Book SynopsisWritten for researchers focusing on general relativity, supergravity, and cosmology, this is a self-contained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an up-to-date mathematical derivation of the theory underlying the BelinskiKhalatnikovLifshitz conjecture on this area of research.Trade Review'The present monograph is a carefully developed overview about the mathematical details of the big bang singularity, mainly within (but not restricted to) general relativity theory. Chapter 1 presents the basic structure of the singularity, including the Kasner-like and the oscillatory-like cases. Chapters 2 and 3 deal with the Bianchi models, especially the BLK-cases Bianchi VIII and IX and the chaotic character observed there. In chapter 4, the influence of matter and/or changed space-time dimension are discussed. Chapters 5 and 6 deal with the billiard representation of the dynamical system describing the approach to the singularity by a mathematical equivalence of the system of equations to the motion of a point particle in a region with boundary, where (like in the billiard game), the article is reflected at the boundary. This idea is formalized in chapter 7 by the introduction of the Coxeter group. The appendices are useful for several topics, e.g., the spinor field and the Kac-Moody algebra.' Hans-Jürgen Schmidt, Zentralblatt MATH'This monograph discusses at length the structure of the general solution of the Einstein equations with a cosmological singularity in Einstein-matter systems in four and higher space-time dimensions, starting from the fundamental work of Belinski (the book's lead author), Khalatnikov and Lifshitz (BKL) - published in 1969. … Quite technical and advanced, this book is meant for theoretical and mathematical physicists working on general relativity, supergravity and cosmology.' CERN CourierTable of ContentsPreface; 1. Introduction and outline; Part I. BKL Analysis: 2. Basic structure of cosmological singularity; 3. Homogeneous cosmological models; 4. On the cosmological chaos; 5. On the Inuence of matter and spacetime dimension; Part II. Cosmological Billiards: 6. The billiard of four-dimensional vacuum gravity; 7. General Cosmological Billiards; 8. Hyperbolic Coxeter groups; Appendix A. Various technical derivations; Appendix B. Homogeneous spaces and Bianchi classification; Appendix C. Spinor field; Appendix D. Lorentzian Kac-Moody algebras; References; Index.
£130.15
Cambridge University Press Factorization Algebras in Quantum Field Theory Volume 1 31 New Mathematical Monographs Series Number 31
Book SynopsisIdeal for researchers and graduates in mathematics and physics, this volume develops factorization algebras while highlighting examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory. This first volume also includes expositions of the relevant background in homological algebra, sheaves and functional analysis.Trade Review'Because the subject of this book touches many advanced leading theories of quantum physics which utilize heavily mathematical machineries from a diverse range of mathematical topics, the background material needed for this book is immense. So it is very helpful and much appreciated that a 103-page four-section appendix is included in this 387-page book, to provide a very well-organized and fairly detailed review of relevant mathematical background topics, including simplicial techniques, colored operads/multicategories and their algebras, differential graded (dg) Lie algebras and their cohomology, sheaves/cosheaves, formal Hodge theory, and 'convenient, differentiable, or bornological' topological vector spaces facilitating the homological algebra for infinite-dimensional vector spaces.' Albert Sheu, Zentralblatt MATH'It is a truth universally acknowledged that one cannot make two independent measurements at the very same place and very same time. In this book full of wit, Costello and Gwilliam show what can actually be done by taking this common lore seriously. … Reading this book requires minimal prerequisites: essentially only the basic notions of topology, of differential geometry, of homological algebra and of category theory will be needed, while all other background material … is provided in the four appendices that take up about one third of the book. Yet some familiarity with the subject is needed to really appreciate it. The reader who has even occasionally been close to the interface between algebraic topology, derived geometry and quantum field theory will enjoy many pleasant moments with Costello and Gwilliam and will find many sources of enlightenment … in their treatment of the subject.' Domenico Fiorenza, Mathematical ReviewsTable of Contents1. Introduction; Part I. Prefactorization Algebras: 2. From Gaussian measures to factorization algebras; 3. Prefactorization algebras and basic examples; Part II. First Examples of Field Theories: 4. Free field theories; 5. Holomorphic field theories and vertex algebras; Part III. Factorization Algebras: 6. Factorization algebras - definitions and constructions; 7. Formal aspects of factorization algebras; 8. Factorization algebras - examples; Appendix A. Background; Appendix B. Functional analysis; Appendix C. Homological algebra in differentiable vector spaces; Appendix D. The Atiyah–Bott Lemma; References; Index.
£127.30
Cambridge University Press Theory of Simple Glasses
Book SynopsisThis pedagogical and self-contained text describes the modern mean field theory of simple structural glasses. The book begins with a thorough explanation of infinite-dimensional models in statistical physics, before reviewing the key elements of the thermodynamic theory of liquids and the dynamical properties of liquids and glasses. The central feature of the mean field theory of disordered systems, the existence of a large multiplicity of metastable states, is then introduced. The replica method is then covered, before the final chapters describe important, advanced topics such as Gardner transitions, complexity, packing spheres in large dimensions, the jamming transition, and the rheology of glass. Presenting the theory in a clear and pedagogical style, this is an excellent resource for researchers and graduate students working in condensed matter physics and statistical mechanics.Trade Review'In this advanced textbook, the authors, all solid-state physicists, present a theory of simple glasses, defined as collections of interacting point particles. The approach, based on statistical mechanics and concepts of multiple-state metastability, is rigorous and educational. Derivations are careful and detailed … An especially useful and educational feature is that each chapter includes a résumé of main results and an annotated short bibliography geared to beginning students. An extensive, up-to-date bibliography at the end mainly draws from the Physical Review literature and related journals. Minimally indexed (no entries on shear stress or strain, viscosity, temperature, or spheres), the book is oriented toward advanced undergraduates or beginning graduate students (who will need preparation in statistical mechanics and liquid theory) and researchers in glasses, essentially addressing the solid-state physics and statistical mechanics communities.' J. Lambropoulos, ChoiceTable of ContentsPreface; 1. Infinite-dimensional models in statistical physics; 2. Atomic liquids in infinite dimensions: thermodynamics; 3. Atomic liquids in infinite dimensions: equilibrium dynamics; 4. Thermodynamics of glass states; 5. Replica symmetry breaking and hierarchical free energy landscapes; 6. The Gardner transition; 7. Counting glass states: the complexity; 8. Packing spheres in large dimensions; 9. The jamming transition; 10. Rheology of the glass; References; Index.
£66.49
Cambridge University Press Relativistic Figures of Equilibrium
Book SynopsisTreating the classical problem of gravitational physics, this book presents basic principles, deals with analytically tractable limiting cases, and considers the general case using powerful numerical methods. A valuable reference for researchers in general relativity, mathematical physics and astrophysics, it is accompanied by a website containing code.Trade ReviewReview of the hardback: '… this book is a very valuable tool for anybody wishing to learn more about relativistic rotating bodies in equilibrium. … overall it is an excellent reference on this topic.' Classical and Quantum GravityReview of the hardback: 'This is an advanced and specialised book, presenting the state of the art in this field, with emphasis on the authors' own expertise and approaches. It contains an extensive discussion of the analytical handling of limiting cases on the one hand and the numerical treatment of the general case on the other, thus providing a complete picture of the subject. … pleasant to read …This book is a standard reference for this subject every researcher in relativity theory should know.' General Relativity and GravitationReview of the hardback: 'Nicely produced by Cambridge University Press, this rather specialized book rich in analytical and numerical methods is of value to students and professional researchers in general relativity, mathematical physics and astrophysics.' Mathematical ReviewsTable of ContentsPreface; Notation; 1. Rotating fluid bodies in equilibrium: fundamental notions and equations; 2. Analytical treatment of limiting cases; 3. Numerical treatment of the general case; 4. Remarks on stability and astrophysical relevance; Appendixes; References; Index.
£41.79
Cambridge University Press, India Experiment and Theory in Physics
Book SynopsisOriginally published in 1943, this book presents an expanded version of an address given by Max Born gave to the Durham Philosophical Society and the Pure Science Society. The text provides an examination of the mutual relationship between theory and experiment in the development of physics.
£10.37
Cambridge University Press Mathematical and Physical Papers Volume 1
Book SynopsisThis collection brings together in six volumes the published articles of the eminent mathematical physicist and engineer William Thomson, first Baron Kelvin (18241907). Topics covered include heat, electricity, magnetism and electrotelegraphy, hydrodynamics, tidal theory and navigation.Table of Contents; .
£46.54
Cambridge University Press Lectures on Quantum Mechanics
Book SynopsisQuantum mechanics is one of the principle pillars of modern physics. It also remains a topic of great interest to mathematicians. Since its discovery it has inspired and been inspired by many topics within modern mathematics, including functional analysis and operator algebras, Lie groups, Lie algebras and their representations, principle bundles, distribution theory, and much more. Written with beginning graduate students in mathematics in mind, this book provides a thorough treatment of (nonrelativistic) quantum mechanics in a style that is leisurely, without the usual theorem-proof grammar of pure mathematics, while remaining mathematically honest. The author takes the time to fully develop the required mathematics and employs a consistent mathematical presentation to clarify the often-confusing notation of physics texts. Along the way the reader encounters several topics requiring more advanced mathematics than found in many discussions of the subject, making for a fascinating courTrade Review'Quantum mechanics lies at the foundation of science, as well as inspiring a great deal of mathematics. Lectures on Quantum Mechanics provides mathematicians and mathematics students with a very readable exposition of the subject, including the mathematical clarity missing from the physics textbooks.' Peter Woit, Columbia University'The author of this non-traditional textbook for mathematicians explains carefully how mathematical concepts can be used to encode physical content of quantum mechanics. The topics are very well chosen and ordered. All chapters are mostly independent, allowing readers to get to the heart of the subject quickly and nonlinearly.' Phan Thành Nam, LMU Munich'… this is a useful text that integrates mathematics and quantum mechanics, one that promises to help first-year graduate students ready themselves for advanced research. Recommended.' M. O. Farooq, ChoiceTable of ContentsPreface; Prolegomenon; 1. The Harmonic Oscillator: Classical verses Quantum; 2. The Mathematical Structure of Quantum Mechanics; 3. Observables and Expectation Values; 4. The Projection Postulate Examined; 5. Rigged Hilbert Space and the Dirac Calculus; 6. A Review of Classical Mechanics; 7. Hamilton-Jacobi Theory *; 8. Classical Mechanics Regain'd; 9. Wave Mechanics I: Heisenberg Uncertainty; 10. Wave Mechanics II: The Fourier Transform; 11. Wave Mechanics III: The Quantum Oscillator; 12. Angular Momentum I: Basics; 13. Angular Momentum II: Representations of su(2); 14. Angular Momentum III: The Central Force Problem; 15. Wave Mechanics IV: The Hydrogenic Potential; 16. Wave Mechanics V: Hidden Symmetry Revealed; 17. Wave Mechanics VI: Hidden Symmetry Solved; 18. Angular Momentum IV: Addition Rules and Spin; 19. Wave Mechanics VII: Pauli's Spinor Theory; 20. Clifford Algebras and Spin Representations *; 21. Many-Particle Quantum Systems; 22. The EPR Argument and Bell's Inequalities; 23. Ensembles and Density Operators; 24. Bosons and Fermions; 25. The Fock Space for Indistinguishable Quanta; 26. An Introduction to Quantum Statistical Mechanics; 27. Quantum Dynamics; 28. Unitary Representations and Conservation Laws; 29. The Feynman Formulation of Quantum Mechanics; 30. A Mathematical Interlude: Gaussian Integrals; 31. Evaluating Path Integrals I; 32. Evaluating Path Integrals II; Epilogue; Resources for Individual Exploration; Bibliography; Index.
£68.39
Cambridge University Press Field Theory of NonEquilibrium Systems
Book SynopsisThis book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. Suitable for graduate students and researchers in condensed matter physics, this new edition includes updated content and problems throughout.Trade ReviewPraise for the first edition 'Field Theory of Non-Equilibrium Systems, written by theoretical condensed-matter physicist Alex Kamenev, is a lively pedagogical exposition of the Keldysh technique based on functional integration … It is meant for advanced graduate students and professionals who have not had prior exposure to the technique but would like to learn it. Experts in the field may also enjoy the diversity of the subjects covered and the clarity with which they are presented. Thanks to those features, Field Theory of Non-Equilibrium Systems is a welcome introduction to the field and could well become a classic.' Vojkan Jaksic, Physics TodayTable of Contents1. Introduction; Part I. Systems with Few Degrees of Freedom: 2. Bosons; 3. Single-particle quantum mechanics; 4. Classical stochastic systems; 5. Driven-dissipative systems; Part II. Bosonic and Classical Fields: 6. Bosonic fields; 7. Dynamics of collisionless plasma; 8. Kinetics of Bose condensates; 9. Dynamics of phase transitions; Part III. Fermions: 10. Fermions; 11. Kinetic theory and hydrodynamics; 12. Aspects of kinetic theory; 13. Quantum transport; Part IV. Disordered Metals and Superconductors: 14. Disordered fermionic systems; 15. Mesoscopic effects; 16. Electron–electron interactions in disordered metals; 17. Dynamics of disordered superconductors; 18. Electron–phonon interactions; References; Index.
£66.49
Cambridge University Press Advanced Topics in Quantum Mechanics
Quantum mechanics is one of the most successful theories in science, and is relevant to nearly all modern topics of scientific research. This textbook moves beyond the introductory and intermediate principles of quantum mechanics frequently covered in undergraduate and graduate courses, presenting in-depth coverage of many more exciting and advanced topics. The author provides a clearly structured text for advanced students, graduates and researchers looking to deepen their knowledge of theoretical quantum mechanics. The book opens with a brief introduction covering key concepts and mathematical tools, followed by a detailed description of the WentzelKramersBrillouin (WKB) method. Two alternative formulations of quantum mechanics are then presented: Wigner''s phase space formulation and Feynman''s path integral formulation. The text concludes with a chapter examining metastable states and resonances. Step-by-step derivations, worked examples and physical applications are included throu
£52.24
Cambridge University Press Classical and Quantum Statistical Physics
Statistical physics examines the collective properties of large ensembles of particles, and is a powerful theoretical tool with important applications across many different scientific disciplines. This book provides a detailed introduction to classical and quantum statistical physics, including links to topics at the frontiers of current research. The first part of the book introduces classical ensembles, provides an extensive review of quantum mechanics, and explains how their combination leads directly to the theory of Bose and Fermi gases. This allows a detailed analysis of the quantum properties of matter, and introduces the exotic features of vacuum fluctuations. The second part discusses more advanced topics such as the two-dimensional Ising model and quantum spin chains. This modern text is ideal for advanced undergraduate and graduate students interested in the role of statistical physics in current research. 140 homework problems reinforce key concepts and further develop read
£52.24
Cambridge University Press Problems in Quantum Field Theory
Book SynopsisThis collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, for graduate students taking their first or second course in QFT.Trade Review'… a valuable bridge between textbook treatments and the modern literature and is an example of the type of volume often reported to be missing from the shelves. Libraries that serve universities teaching quantum field theory, or any institution with active research programs involving quantum field theory, should acquire this book ... Recommended.' M. C. Ogilvie, Choice ConnectTable of ContentsPreface; Acknowledgements; Notations and Conventions; Part I. Quantum Field Theory Basics; Part II. Functional Methods; Part III. Non-Abelian Fields; Part IV. Scattering Amplitudes; Part V. Lattice, Finite T, Strong Fields; Index.
£39.89
The University of Chicago Press Perspectives in Computation
Book SynopsisComputation is the process of applying a procedure or algorithm to the solution of a mathematical problem. This book covers three broad topics: the computation process and its limitations, the search for computational efficiency, and the role of quantum mechanics in computation.Trade Review"A beautiful little book.... It succeeds so well because Geroch believes that 'physics is a human activity' and wants to share some of its joy with others." - Physics Today"
£999.99
Penguin Putnam Inc The Universe in a Box
Book SynopsisScientists are using simulations to recreate the universe, revealing the hidden nature of reality.Cosmology is a tricky science—no one can make their own stars, planets, or galaxies to test its theories. But over the last few decades a new kind of physics has emerged to fill the gap between theory and experimentation. Harnessing the power of modern supercomputers, cosmologists have built simulations that offer profound insights into the deep history of our universe, allowing centuries-old ideas to be tested for the first time. Today, physicists are translating their ideas and equations into code, finding that there is just as much to be learned from computers as experiments in laboratories. In The Universe in a Box, cosmologist Andrew Pontzen explains how physicists model the universe’s most exotic phenomena, from black holes and colliding galaxies to dark matter and quantum entanglement, enabling them to study the
£24.65
ISTE Ltd and John Wiley & Sons Inc Nonlinear Physical Systems: Spectral Analysis,
Book SynopsisBringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems. Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations focuses on problems of spectral analysis, stability and bifurcations arising in the nonlinear partial differential equations of modern physics. Bifurcations and stability of solitary waves, geometrical optics stability analysis in hydro- and magnetohydrodynamics, and dissipation-induced instabilities are treated with the use of the theory of Krein and Pontryagin space, index theory, the theory of multi-parameter eigenvalue problems and modern asymptotic and perturbative approaches. Each chapter contains mechanical and physical examples, and the combination of advanced material and more tutorial elements makes this book attractive for both experts and non-specialists keen to expand their knowledge on modern methods and trends in stability theory. Contents 1. Surprising Instabilities of Simple Elastic Structures, Davide Bigoni, Diego Misseroni, Giovanni Noselli and Daniele Zaccaria. 2. WKB Solutions Near an Unstable Equilibrium and Applications, Jean-François Bony, Setsuro Fujiié, Thierry Ramond and Maher Zerzeri, partially supported by French ANR project NOSEVOL. 3. The Sign Exchange Bifurcation in a Family of Linear Hamiltonian Systems, Richard Cushman, Johnathan Robbins and Dimitrii Sadovskii. 4. Dissipation Effect on Local and Global Fluid-Elastic Instabilities, Olivier Doaré. 5. Tunneling, Librations and Normal Forms in a Quantum Double Well with a Magnetic Field, Sergey Yu. Dobrokhotov and Anatoly Yu. Anikin. 6. Stability of Dipole Gap Solitons in Two-Dimensional Lattice Potentials, Nir Dror and Boris A. Malomed. 7. Representation of Wave Energy of a Rotating Flow in Terms of the Dispersion Relation, Yasuhide Fukumoto, Makoto Hirota and Youichi Mie. 8. Determining the Stability Domain of Perturbed Four-Dimensional Systems in 1:1 Resonance, Igor Hoveijn and Oleg N. Kirillov. 9. Index Theorems for Polynomial Pencils, Richard Kollár and Radomír Bosák. 10. Investigating Stability and Finding New Solutions in Conservative Fluid Flows Through Bifurcation Approaches, Paolo Luzzatto-Fegiz and Charles H.K. Williamson. 11. Evolution Equations for Finite Amplitude Waves in Parallel Shear Flows, Sherwin A. Maslowe. 12. Continuum Hamiltonian Hopf Bifurcation I, Philip J. Morrison and George I. Hagstrom. 13. Continuum Hamiltonian Hopf Bifurcation II, George I. Hagstrom and Philip J. Morrison. 14. Energy Stability Analysis for a Hybrid Fluid-Kinetic Plasma Model, Philip J. Morrison, Emanuele Tassi and Cesare Tronci. 15. Accurate Estimates for the Exponential Decay of Semigroups with Non-Self-Adjoint Generators, Francis Nier. 16. Stability Optimization for Polynomials and Matrices, Michael L. Overton. 17. Spectral Stability of Nonlinear Waves in KdV-Type Evolution Equations, Dmitry E. Pelinovsky. 18. Unfreezing Casimir Invariants: Singular Perturbations Giving Rise to Forbidden Instabilities, Zensho Yoshida and Philip J. Morrison. About the Authors Oleg N. Kirillov has been a Research Fellow at the Magneto-Hydrodynamics Division of the Helmholtz-Zentrum Dresden-Rossendorf in Germany since 2011. His research interests include non-conservative stability problems of structural mechanics and physics, perturbation theory of non-self-adjoint boundary eigenvalue problems, magnetohydrodynamics, friction-induced oscillations, dissipation-induced instabilities and non-Hermitian problems of optics and microwave physics. Since 2013 he has served as an Associate Editor for the journal Frontiers in Mathematical Physics. Dmitry E. Pelinovsky has been Professor at McMaster University in Canada since 2000. His research profile includes work with nonlinear partial differential equations, discrete dynamical systems, spectral theory, integrable systems, and numerical analysis. He served as the guest editor of the special issue of the journals Chaos in 2005 and Applicable Analysis in 2010. He is an Associate Editor of the journal Communications in Nonlinear Science and Numerical Simulations. This book is devoted to the problems of spectral analysis, stability and bifurcations arising from the nonlinear partial differential equations of modern physics. Leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics present state-of-the-art approaches to a wide spectrum of new challenging stability problems. Bifurcations and stability of solitary waves, geometrical optics stability analysis in hydro- and magnetohydrodynamics and dissipation-induced instabilities will be treated with the use of the theory of Krein and Pontryagin space, index theory, the theory of multi-parameter eigenvalue problems and modern asymptotic and perturbative approaches. All chapters contain mechanical and physical examples and combine both tutorial and advanced sections, making them attractive both to experts in the field and non-specialists interested in knowing more about modern methods and trends in stability theory.Table of ContentsPreface xiii Chapter 1. Surprising Instabilities of Simple Elastic Structures 1 Davide BIGONI, Diego MISSERONI, Giovanni NOSELLI and Daniele ZACCARIA Chapter 2. WKB Solutions Near an Unstable Equilibrium and Applications 15 Jean-François BONY, Setsuro FUJIIÉ, Thierry RAMOND and Maher ZERZERI Chapter 3. The Sign Exchange Bifurcation in a Family of Linear Hamiltonian Systems 41 Richard CUSHMAN, Johnathan M. ROBBINS and Dimitrii SADOVSKII Chapter 4. Dissipation Effect on Local and Global Fluid-Elastic Instabilities 67 Olivier DOARÉ Chapter 5. Tunneling, Librations and Normal Forms in a Quantum Double Well with a Magnetic Field 85 Sergey Y. DOBROKHOTOV and Anatoly Y. ANIKIN Chapter 6. Stability of Dipole Gap Solitons in Two-Dimensional Lattice Potentials 111 Nir DROR and Boris A. MALOMED Chapter 7. Representation of Wave Energy of a Rotating Flow in Terms of the Dispersion Relation 139 Yasuhide FUKUMOTO, Makoto HIROTA and Youichi MIE Chapter 8. Determining the Stability Domain of Perturbed Four-Dimensional Systems in 1:1 Resonance 155 Igor HOVEIJN and Oleg N. KIRILLOV Chapter 9. Index Theorems for Polynomial Pencils 177 Richard KOLLÁR and Radomír BOSÁK Chapter 10. Investigating Stability and Finding New Solutions in Conservative Fluid Flows Through Bifurcation Approaches 203 Paolo LUZZATTO-FEGIZ and Charles H.K. WILLIAMSON Chapter 11. Evolution Equations for Finite Amplitude Waves in Parallel Shear Flows 223 Sherwin A. MASLOWE Chapter 12. Continuum Hamiltonian Hopf Bifurcation I 247 Philip J. MORRISON and George I. HAGSTROM Chapter 13. Continuum Hamiltonian Hopf Bifurcation II 283 George I. HAGSTROM and Philip J. MORRISON Chapter 14. Energy Stability Analysis for a Hybrid Fluid-Kinetic Plasma Model 311 Philip J. MORRISON, Emanuele TASSI and Cesare TRONCI Chapter 15. Accurate Estimates for the Exponential Decay of Semigroups with Non-Self-Adjoint Generators 331 Francis NIER Chapter 16. Stability Optimization for Polynomials and Matrices 351 Michael L. OVERTON Chapter 17. Spectral Stability of Nonlinear Waves in KdV-Type Evolution Equations 377 Dmitry E. PELINOVSKY Chapter 18. Unfreezing Casimir Invariants: Singular Perturbations Giving Rise to Forbidden Instabilities 401 List of Authors 421 Index 425
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