Mathematical / Computational / Theoretical physics Books
Taylor & Francis Ltd Geometry and Physics of Branes Series in High
Book SynopsisBranes are solitonic configurations of a string theory that are represented by extended objects in a higher-dimensional space-time. They are essential for a comprehension of the non-perturbative aspects of string theory, in particular, in connection with string dualities. From the mathematical viewpoint, branes are related to several important theories, such as homological mirror symmetry and quantum cohomology.Geometry and Physics of Branes provides an introduction to current research in some of these different areas, both in physics and mathematics. The book opens with a lucid introduction to the basic aspects of branes in string theory. Topics covered in subsequent chapters include tachyon condensation, the geometry surrounding the Gopakumar-Vafa conjecture (a duality between the SU(N) Chern-Simons theory on S3 and a IIA string theory compactified on a Calabi-Yau 3-fold), two-dimensional conformal field theory on open and unoriented surfaces, and the development of a homologTrade Review"The introductory lectures are particularly pedagogical and clear and I recommend them to my students that enter the subject." -M. BianchiTable of ContentsIntroductionU. Bruzzo Deformation Theory, Homological Algebra and Mirror SymmetryKenji FuyakaTopics in String Tachyon DynamicsCe'sar Go'mez and Pedro RescoLarge N Dualities and D-BranesAntonella Grassi and Michele RossiElementary Introduction to Branes in String TheoryAlberto LerdaTwo-Dimensional Conformal Field Theory on Open and Unoriented SurfacesYassen Stanev
£218.50
Taylor & Francis Concise Handbook of Mathematics and Physics
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£128.25
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
£43.99
Taylor & Francis Ltd Knot Theory
Book SynopsisOver the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text.Knot Theory, Second Edition is notable not only for its expert presentation of knot theory's state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.Trade ReviewPraise for the first editionThis book is highly recommended for all students and researchers in knot theory, and to those in the sciences and mathematics who would like to get a flavor of this very active field.”-Professor Louis H. Kauffman, Department of Mathematics, Statistics and Com-puter Science, University of Illinois at ChicagoTable of ContentsKnots, links, and invariant polynomials. Introduction. Reidemeister moves. Knot arithmetics. Links in 2-surfaces in R3.Fundamental group; the knot group. The knot quandle and the Conway algebra. Kauffman's approach to Jones polynomial. Properties of Jones polynomials. Khovanov's complex. Theory of braids. Braids, links and representations of braid groups. Braids and links. Braid construction algorithms. Algorithms of braid recognition. Markov's theorem; the Yang-Baxter equation. Vassiliev's invariants. Definition and Basic notions of Vassiliev invariant theory. The chord diagram algebra. The Kontsevich integral and formulae for the Vassiliev invariants. Atoms and d-diagrams. Atoms, height atoms and knots. The bracket semigroup of knots. Virtual knots. Basic definitions and motivation. Invariant polynomials of virtual links. Generalised Jones-Kauffman polynomial. Long virtual knots and their invariants. Virtual braids. Other theories. 3-manifolds and knots in 3-manifolds. Legendrian knots and their invariants. Independence of Reidemeister moves.
£114.00
Cambridge University Press Moonshine The First Quarter Century and Beyond Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras 372 London Mathematical Society Lecture Note Series Series Number 372
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£65.86
Cambridge University Press Scattering from Black Holes
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£40.84
Cambridge University Press SemiClassical Methods for NucleusNucleus Scattering Cambridge Monographs on Mathematical Physics
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£37.04
Cambridge University Press Synthetic Geometry of Manifolds Cambridge Tracts in Mathematics 180
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£105.45
Cambridge University Press Symmetries and Integrability of Difference Equations 381 London Mathematical Society Lecture Note Series Series Number 381
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£50.95
Cambridge University Press A Students Guide to Fourier Transforms With Applications in Physics and Engineering Students Guides
Book SynopsisFourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van CittertâZernike theorem, Trade ReviewFrom previous editions: 'It is the wide range of topics that makes this book so appealing … I highly recommend this book for the advanced student … Even the expert who wants a deeper appreciation of the Fourier transform will find the book useful.' Computers in Physics'… this is an excellent book to initiate students who possess a reasonable mathematical background to the use of Fourier transforms …' Microscopy and AnalysisTable of Contents1. Physics and Fourier transforms; 2. Useful properties and theorems; 3. Applications 1: Fraunhofer diffraction; 4. Applications 2: signal analysis and communication theory; 5. Applications 3: spectroscopy and spectral line shapes; 6. Two-dimensional Fourier transforms; 7. Multi-dimensional Fourier transforms; 8. The formal complex Fourier transform; 9. Discrete and digital Fourier transforms; 10. Appendix; 11. Bibliography; 12. Index.
£25.99
Cambridge University Press Cellular Biophysics and Modeling
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£41.79
Cambridge University Press Fractals Scaling and Growth Far from Equilibrium 05 Cambridge Nonlinear Science Series Series Number 5
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£65.86
Cambridge University Press Introduction to Statistical Field Theory
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£71.24
Cambridge University Press Fractals Scaling and Growth Far from Equilibrium 5 Cambridge Nonlinear Science Series Series Number 5
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£124.20
Cambridge University Press Soliton Equations and Their AlgebroGeometric Solutions Volume 2 11Dimensional Discrete Models Cambridge Studies in Advanced Mathematics Series Number 114
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£122.55
Cambridge University Press Stochastic Processes for Physicists Understanding Noisy Systems
Book SynopsisThis textbook is an accessible introduction to stochastic processes and their applications, as well as methods for numerical simulation, for graduate students and researchers in physics. It includes coverage of the more exotic Levy processes, and a concise account of numerical methods for simulating stochastic systems driven by Gaussian noise.Trade Review'Jacobs is an enthusiastic, clear, and concise writer. He presents each theory by means of heuristic arguments and calculations.' Cosma Shalizi, Physics Today'I think this book is a very nice introduction to the subject of stochastic processes.' Zentralblatt MATHTable of Contents1. A review of probability theory; 2. Differential equations; 3. Stochastic equations with Gaussian noise; 4. Further properties of stochastic processes; 5. Some applications of Gaussian noise; 6. Numerical methods for Gaussian noise; 7. Fokker–Planck equations and reaction-diffusion systems; 8. Jump processes; 9. Levy processes; 10. Modern probability theory; Appendix; References; Index.
£43.69
Cambridge University Press Gravity and Strings
Book SynopsisSelf-contained, comprehensive, and consistent, this definitive new edition is a unique resource for graduate students and researchers in theoretical physics. This second edition contains over 300 pages of new material, covers an extensive array of topics, and is accompanied by an exhaustive index and bibliography. An exceptional reference work.Table of Contents1. Differential geometry; 2. Symmetries and Noether's theorems; 3. A perturbative introduction to general relativity; 4. Action principles for gravity; 5. Pure N=1,2,d=4 supergravities; 6. Matter-coupled N=1,d=4 supergravity; 7. Matter-coupled N=2,d=4 supergravity; 8. A generic description of all the N>2,d=4 SUEGRAS; 9. Matter-coupled N=1,d=5 supergravity; 10. Conserved charges in general relativity; 11. The Schwarzschild black hole; 12. The Reissner–Nordström black hole; 13. The Taub–NUT solution; 14. Gravitational pp-waves; 15. The Kaluza–Klein black hole; 16. Dilaton and dilaton/axion black holes; 17. Unbroken supersymmetry I: supersymmetric vacua; 18. Unbroken supersymmetry II: partially supersymmetric solutions; 19. Supersymmetric black holes from supergravity; 20. String theory; 21. The string effective action and T duality; 22. From eleven to four dimensions; 23. The type-IIB superstring and type-II T duality; 24. Extended objects; 25. The extended objects of string theory; 26. String black holes in four and five dimensions; 27. The FGK formalism for (single, static) black holes and branes; Appendices: A.1 Lie groups, symmetric spaces, and Yang–Mills fields; A.2 The irreducible, non-symmetric Riemannian spaces of special holonomy; A.3 Miscellanea on the symplectic group; A.4 Gamma matrices and spinors; A.5 Kähler geometry; A.6 Special Kähler geometry; A.7 Quaternionic-Kähler geometry.
£116.85
Cambridge University Press CP Violation
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£127.00
Cambridge University Press Lectures on Khler Geometry 69 London Mathematical Society Student Texts Series Number 69
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£116.85
Cambridge University Press Quantum Field Theory in Curved Spacetime Quantized Fields and Gravity Cambridge Monographs on Mathematical Physics
Book SynopsisSuitable for graduate students, this book presents detailed derivations of cosmological and black hole processes in which curved spacetime plays a key role. It explains how such processes in the early universe leave observable consequences today, and how these processes uncover deep connections between gravitation and elementary particles.Trade Review"While readers of Birrel and Davies will certainly like this new book, newcomers and students will appreciate the breadth and the style of a treatise written by two well known scientists who have dedicated their lives to the understanding of the treatment of quantum fields in a fixed gravitational background." Massimo Giovannini, CERN Courier"This is an interesting book which contains a lot of material about an important topic of theoretical physics." Michael Keyl, Mathematical ReviewsTable of ContentsPreface; Conventions and notation; 1. Quantum fields in Minkowski spacetime; 2. Basics of quantum fields in curved spacetimes; 3. Expectation values quadratic in fields; 4. Particle creation by black holes; 5. The one-loop effective action; 6. The effective action: non-gauge theories; 7. The effective action: gauge theories; Appendixes; References; Index.
£76.94
Cambridge University Press Supersymmetry in Particle Physics An Elementary Introduction
Book SynopsisIntended for graduates and researchers, this textbook, first published in 2007, provides a simple introduction to supersymmetry. This elementary, practical treatment places emphasis on physical understanding, and detailed derivations. Many short exercises are included, making for a valuable and accessible self-study tool.Trade Review'Any student or practising physicist who wants to learn about the phenomenological implications of TeV-scale supersymmetry without spending the time to master the more mathematical approaches to the subject would do well to acquire a copy of Supersymmetry in Particle Physics. It is a unique text that has value both on its own accord and as a supplement to larger and more comprehensive texts. This is indeed entry-level supersymmetry in its best and most practical sense.' Physics TodayTable of Contents1. Introduction and motivation; 2. Spinors: Weyl, Dirac and Majorana; 3. A simple supersymmetric Lagrangian, and a first glance at the MSSM; 4. The supersymmetry algebra and supermultiplets; 5. The Wess-Zumino model; 6. Superfields; 7. Vector (or gauge) supermultiplets; 8. The MSSM; 9. SUSY breaking; 10. The Higgs sector and electroweak symmetry breaking in the MSSM; 11. Sparticle masses in the MSSM; 12. Some simple tree-level calculations in the MSSM; References; Index.
£56.99
Cambridge University Press Classical Measurements in Curved SpaceTimes Cambridge Monographs on Mathematical Physics
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£104.00
Cambridge University Press The Monster Group and Majorana Involutions 176 Cambridge Tracts in Mathematics Series Number 176
Book SynopsisThe first book containing a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which so far remains largely unpublished, and explores the theory of groups generated by Majorana involutions.Trade Review'This book contains the basic knowledge on the Monster group in a very accessible way. some results are published in this book for the first time. Many are not even easily found in literature. Hence the book is a very good source for any group theorist who is interested in sporadic simple groups.' Zentralblatt MATHTable of ContentsPreface; 1. M24 and all that; 2. The Monster amalgam M; 3. 196 883-representation of M; 4. 2-local geometries; 5. Griess algebra; 6. Automorphisms of Griess algebra; 7. Important subgroups; 8. Majorana involutions; 9. The Monster graph; 10. Fischer's story; References; Index.
£105.45
Cambridge University Press Hamiltonian Mechanics of Gauge Systems
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£110.20
Cambridge University Press Group Theory
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£71.24
Cambridge University Press Indispensability
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£17.00
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
