Statistical physics Books
Oxford University Press Concepts in Thermal Physics
Book SynopsisAn understanding of thermal physics is crucial to much of modern physics, chemistry and engineering. This book provides a modern introduction to the main principles that are foundational to thermal physics, thermodynamics and statistical mechanics. The key concepts are carefully presented in a clear way, and new ideas are illustrated with copious worked examples as well as a description of the historical background to their discovery. Applications are presented to subjects as diverse as stellar astrophysics, information and communication theory, condensed matter physics and climate change. Each chapter concludes with detailed exercises.The second edition of this popular textbook maintains the structure and lively style of the first edition but extends its coverage of thermodynamics and statistical mechanics to include several new topics, including osmosis, diffusion problems, Bayes theorem, radiative transfer, the Ising model and Monte Carlo methods. New examples and exercises have been added throughout.Trade ReviewThis is probably the best book I know of thermodynamics and statistical physics. The authors have done really a great job. [...] The contents of the book are organised in such way that it can be used for a standard undergraduate level course in thermodynamics and statistical mechanics, where it is also possible to make the appropriate selection of the topics depending on the level and duration of the course. It could also be very useful as a source reference for lecturers in thermodynamics and statistical physics. * M.A.F. Sanjuan, Contemporary Physics *Table of ContentsI: PRELIMINARIES; II: KINETIC THEORY OF GASES; III: TRANSPORT AND THERMAL DIFFUSION; IV: THE FIRST LAW; V: THE SECOND LAW; VI: THERMODYNAMICS IN ACTION; VII: STATISTICAL MECHANICS; VIII: BEYOND THE IDEAL GAS; IX: SPECIAL TOPICS
£37.52
Cambridge University Press Quantum Field Theory and the Standard Model
Book SynopsisProviding a modern introduction to quantum field theory, this comprehensive textbook develops the Standard Model of particle physics and explains state-of-the-art techniques for performing precision theoretical calculations. Intuitive physical discussions of abstract concepts make the subject accessible to students with a variety of backgrounds and interests.Trade Review'This is an excellent graduate-level relativistic quantum field theory text, covering an impressive amount of material often with a very novel presentation. It would be ideal either for courses on relativistic quantum field theory or for courses on the Standard Model of elementary particle interactions. The book provides interesting insights and covers many modern topics not usually presented in current texts such as spinor-helicity methods and on-shell recursion relations, heavy quark effective theory and soft-collinear effective field theory. It is nice to see the modern point of view on the predictive power of non-renormalizable theories discussed. Once in a generation particle physicists elevate a quantum field theory text to the rank of classic. Two such classics are the texts by Bjorken and Drell and Peskin and Schroeder; it wouldn't surprise me if this new book by Schwartz joins this illustrious group.' Mark Wise, California Institute of Technology'A wonderful tour of quantum field theory from the modern perspective, filled with insights on both the conceptual underpinnings and the concrete, elegant calculational tools of the subject.' Nima Arkani-Hamed, Institute for Advanced Study, Princeton'Schwartz has produced a new and valuable introduction to quantum field theory. He has rethought the whole presentation of the subject, from the introductory and foundational concepts to new developments such as effective field theory descriptions of quark dynamics. Students will enjoy viewing quantum field theory from his perspective.' Michael E. Peskin, SLAC National Accelerator Laboratory, Stanford University'Schwartz's book grew out of a popular year long course in quantum field theory at Harvard. Designed primarily for graduate students, this course also attracts and inspires a number of undergraduates each year. The book is unique in its combination of breadth, depth and readability. Schwartz starts at the beginning of the subject and brings us right up to the present. That the book is neither superficial nor impossibly dense is rather remarkable and makes it easy to understand the course's success.' Howard Georgi, Harvard University'In this book, Schwartz gives a thoughtful and modern treatment of many classical and contemporary topics. Students and experienced researchers will find much here of value.' Edward Witten, Institute for Advanced Study, Princeton'Every single one of these pages is packed with information. … this book grew out of lectures Schwartz has given to graduate students at Harvard, and it becomes very clear that he is well aware of possible pitfalls and problems of understanding that students may have. … The first part of the book should be accessible for beginning graduate students who have mastered quantum mechanics, special relativity and electrodynamics. The second part of the book will also be useful for advanced students and researchers who want to learn how to perform calculations in the standard model. … Schwartz has done a great job in presenting his view on this complex matter, and I wish this book had already existed when I learned the subject! I recommend it to anyone dedicated to learning quantum field theory and the physics of the standard model.' Thomas Peters, Contemporary PhysicsTable of ContentsPart I. Field Theory: 1. Microscopic theory of radiation; 2. Lorentz invariance and second quantization; 3. Classical Field Theory; 4. Old-fashioned perturbation theory; 5. Cross sections and decay rates; 6. The S-matrix and time-ordered products; 7. Feynman rules; Part II. Quantum Electrodynamics: 8. Spin 1 and gauge invariance; 9. Scalar QED; 10. Spinors; 11. Spinor solutions and CPT; 12. Spin and statistics; 13. Quantum electrodynamics; 14. Path integrals; Part III. Renormalization: 15. The Casimir effect; 16. Vacuum polarization; 17. The anomalous magnetic moment; 18. Mass renormalization; 19. Renormalized perturbation theory; 20. Infrared divergences; 21. Renormalizability; 22. Non-renormalizable theories; 23. The renormalization group; 24. Implications of Unitarity; Part IV. The Standard Model: 25. Yang–Mills theory; 26. Quantum Yang-Mills theory; 27. Gluon scattering and the spinor-helicity formalism; 28. Spontaneous symmetry breaking; 29. Weak interactions; 30. Anomalies; 31. Precision tests of the standard model; 32. QCD and the parton model; Part V. Advanced Topics: 33. Effective actions and Schwinger proper time; 34. Background fields; 35. Heavy-quark physics; 36. Jets and effective field theory; Appendices; References; Index.
£67.99
Oxford University Press Networks
Book SynopsisThe study of networks, including computer networks, social networks, and biological networks, has attracted enormous interest in the last few years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on an unprecedented scale, and the development of new theoretical tools has allowed us to extract knowledge from networks of many different kinds. The study of networks is broadly interdisciplinary and central developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.Topics covered include the measurement of networks; methods for analyzing network data, including methods developed in physics, statistics, and sociology; fundamentals of graph theory; computer algorithms; mathematical models of networks, including random graph models and generative models; and theories of dynamical processes taking place on networks.Trade ReviewThis is the definitive book on networks, friendly enough for anyone to read and serious enough for researchers to find their way. [Newman] is one of the founders and leaders of the field and has updated the book with cutting-edge topics. * Professor Cris Moore, Santa Fe Institute *This is the definitive book on network science, by one of its most brilliant researchers and graceful expositors. The second edition of Mark Newman's Networks is clear, comprehensive, and fascinating. * Steven Strogatz, Department of Mathematics, Cornell University, USA *This is an excellent textbook by one of the preeminent scholars in the study of networks. I draw heavily from it when teaching my undergraduate course on networks, and I am very pleased to see a new edition of the book. Newman's clear exposition shines through in this textbook. * Mason Porter, Department of Mathematics, UCLA, USA *An extraordinarily comprehensive and clear exposition of network science from one of the giants in the field. Newman succeeds in making accessible to a broad readership even the most technical content. * Santo Fortunato, School of Informatics and Computing, Indiana University *Reviews from previous edition:Networks accomplishes two key goals: It provides a comprehensive introduction and presents the theoretic backbone of network science. [] The book is balanced in its presentation of theoretical concepts, computational techniques, and algorithms. The level of difficulty increases which each chapter [which] makes the book particularly valuable to physics students who wish to acquire a solid foundation based on their knowledge of basic linear algebra, calculus, and differential equations. * Physics Today *Newman has written a wonderful book that gives an extensive overview of the broadly interdisciplinary network-related developments that have occured in many fields, including mathematics, physics, computer science, biology, and the social sciences ... Overall, a valuable resource covering a wide-randing field. * Choice *Likely to become the standard introductory textbook for the study of networks [...] Overall, this is an excellent textbook for the growing field of networks. It is cleverly written and suitable as both an introduction for undergraduate students (particularly Parts 1 to 3) and as a roadmap for graduate students. [...] Being highly self-contained, computer scientists and professionals from other fields can also use the book - in fact, the author himself is a physicist. In short, this book is a delight for the inquisitive mind. * Computing Reviews *This book brings together, for the first time, the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong connections between work in different subject areas. * CERN Courier *Table of Contents1: Introduction Part I: The empirical study of networks 2: Technological networks 3: Networks of information 4: Social networks 5: Biological networks Part II: Fundamentals of network theory 6: Mathematics of networks 7: Measures and metrics 8: Computer algorithms 9: Network statistics and measurement error 10: The structure of real-world networks Part III: Network models 11: Random graphs 12: The configuration model 13: Models of network formation Part IV: Applications 14: Community structure 15: Percolation and network resilience 16: Epidemics on networks 17: Dynamical systems on networks 18: Network search
£65.55
Dover Publications Inc. An Introduction to Statistical Thermodynamics
Book Synopsis
£15.29
Cambridge University Press Uncovering Quantum Field Theory and the Standard
Book Synopsis
£56.99
Oxford University Press An Introduction to Thermal Physics
Book SynopsisThermal physics deals with collections of large numbers of particles - typically 10 to the 23rd power or so. Examples include the air in a balloon, the water in a lake, the electrons in a chunk of metal, and the photons given off by the sun. We can''t possibly follow every detail of the motions of so many particles. So in thermal physics we assume that these motions are random, and we use the laws of probability to predict how the material as a whole ought to behave. Alternatively, we can measure the bulk properties of a material, and from these infer something about the particles it is made of.This book will give you a working understanding of thermal physics, assuming that you have already studied introductory physics and calculus. You will learn to apply the general laws of energy and entropy to engines, refrigerators, chemical reactions, phase transformations, and mixtures. You will also learn to use basic quantum physics and powerful statistical methods to predict in detail how teTrade ReviewI am a great admirer of Schroeder's book. While writing a graduate textbook in the subject, I studied many books in statistical mechanics, at various levels of sophistication. Of these, Schroeder's text stood out. Indeed, it was the only one I envied -- his sense of fun, his vivid explanations, and his deep insights into conceptual issues. * James P. Sethna, Cornell University, author of 'Statistical Mechanics: Entropy, Order Parameters, and Complexity', Second Edition, OUP 2021 *Table of ContentsPreface Part I: Fundamentals 1: Energy in Thermal Physics 2: The Second Law 3: Interactions and Implications Part II: Thermodynamics 4: Engines and Refrigerators 5: Free Energy and Chemical Thermodynamics Part III: Statistical Mechanics 6: Boltzmann Statistics 7: Quantum Statistics 8: Systems of Interacting Particles Appendix A: Elements of Quantum Mechanics Appendix B: Mathematical Results Suggested Reading Reference Data Index
£37.52
Oxford University Press Sailing the Ocean of Complexity Lessons from the
Book SynopsisThe book provides a non-specialist introduction to the reasons why we can make sense of the world around and within us, facing the oceans of complexity which inhabit both. The book provides a scientific and easily accessible description of some of the key physical mechanisms by which the wonderful gift of life materializes in the natural world.Trade ReviewThis book gives a nontechnical survey of complex systems, strongly emphasizing the connection of fundamental physics to biology. Starting with a very nice foundational discussion, the Succi goes on to look at the connection developed by Boltzmann between microscopic physics and macroscopic biology...the thoughtful reader will be rewarded. * Choice *This is an interesting exploration of how the complex macroscopic world is derivable from microscopic physics, and how the non-linearity of complex systems leads to issues of predictability and at the same time accounts for physical structures. The author gives personal comments on his own appreciation of the physics throughout the book, as well as a thought-provoking conclusion suggesting that our experience of time is a consequence of the emergence of complexity. * E. Kincanon, Gonzaga University, CHOICE connect *Complexity is between the two infinities "very big" and "very small" - always a fascinating subject. The author explains things in a very easy-going way, and adds some entertaining stories and thoughts which make it entertaining to read. * Christian Beck, Queen Mary University of London *Complexity science is of critical importance in the modern world, but not on the radar screen of the average reader. This book, designed for the general public, is intended to fix that problem in a very enjoyable and entertaining style. * Bruce Boghosian, Tufts University *A fresh and competent view on a very interesting scientific topic. * Guido Caldarelli, School IMT Alti Studi Lucca *Sauro Succi's new book is both superb and essential. Succi, with clarity and wit, takes us from quarks and Boltzmann to soft matter - precisely the frontier of physics and life. Someone said, “There is no truth beyond magic”. Succi shows us the magic at the edge of life. * Stuart Kauffman, MacArthur Fellow, Fellow of the Royal Society of Canada, Gold Medal Accademia Lincea *Table of ContentsPreface Part 1: COMPLEXITY 1: Introducing Complexity 2: The Guiding Barriers 3: Competition and Cooperation 4: Nonlinearity, The Mother of Complexity 5: The Dark Side of Nonlinearity 6: The Bright Side of Nonlinearity 7: Networks, The Fabric of Complexity Part 2: THE SCIENCE OF CHANGE 8: Good Old Thermodynamics 9: The Man Who Trusted Atoms 10: Biological Escapes 11: Cosmological Escapes 12: Free Energy Part 3: THE PHYSICS-BIOLOGY INTERFACE 13: Survival in Molecular Hyperland, the Ozland Valleys 14: Free Energy Funnels 15: Soft Matter, The Stu that Dreams Are Made Of 16: Water, the Wonderuid Part 4: COMPLEXITY AND THE HUMAN CONDITION 17: Time and the Complexity of the Human Condition 18: Harness the Hybris: Hallelujah! 19: Appendices Epilogue Acknowledgements References
£28.02
Clarendon Press Dynamical Theory of Crystal Lattices
Book SynopsisAt the time of its original publication this reissued ''classic'' text, co-written by the Nobel Laureate of 1954, Max Born, represented the final account of the subject and in many ways it still does. The book is divided into four sections. The first of these is very general in nature and deals with the general statistical mechanics of ideal lattices, leading to the electric polarizability and to the scattering of light. The second part deals with the properties of long lattice waves; the third with thermal properties and the fourth with optical properties.Trade Review'extraordinarily general and sound introduction ... a standard work that is indispensable to all working in this field' * Die Naturwissenschaften *'... important mathematical methods which should be of use in other subjects as well' * British Journal of Applied Physics *Table of ContentsPART 1: ELEMENTARY THEORIES ; PART 2: GENERAL THEORIES
£48.60
Oxford University Press Introductory Statistical Mechanics
Book SynopsisThis book explains the ideas and techniques of statistical mechanics-the theory of condensed matter-in a simple and progressive way. The text starts with the laws of thermodynamics and simple ideas of quantum mechanics. The conceptual ideas underlying the subject are explained carefully; the mathematical ideas are developed in parallel to give a coherent overall view. The text is illustrated with examples not just from solid state physics, but also from recent theories of radiation from black holes and recent data on the background radiation from the Cosmic background explorer. In this second edition, slightly more advanced material on statistical mechanics is introduced, material which students should meet in an undergraduate course. As a result the new edition contains three more chapters on phase transitions at an appropriate level for an undergraduate student. There are plenty of problems at the end of each chapter, and brief model answers are provided for odd-numbered problems. From reviews of the first edition: ''...Introductory Statistical Mechanics is clear and crisp and takes advantage of the best parts of the many approaches to the subject'' Physics Today
£50.34
Clarendon Press Statistical Mechanics of Phase Transitions
Book SynopsisRecent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field.The book will be useful as a textbook for a course in `Phase Transitions'', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist.Trade Review'The book will be useful as a textbook for a course in phase transitions; as an introduction in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. (orig.) Physics Briefs'it is desirable that those who wish to be acquainted with the work being done in the field have access to suitable textbooks ... Such a book is the text under review ... this book will serve as a useful map to novices to the field.' Dr A. Danielian, King's College, London, Contemporary Physics, Volume 33, Number 5, September/October 1992'novices will be provided with an up-to-date map of the field.' Dr. A. Danielian, King's College, London. Contemporary Physics, 1992, Volume 33, Number 5.Table of ContentsIntroduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group.
£41.79
Oxford University Press QUANTUM INFORMATION OMSP P
Book SynopsisQuantum information- the subject- is a new and exciting area of science, which brings together physics, information theory, computer science and mathematics. Quantum Information- the book- is based on two successful lecture courses given to advanced undergraduate and beginning postgraduate students in physics. The intention is to introduce readers at this level to the fundamental, but offer rather simple, ideas behind ground-breaking developments including quantum cryptography, teleportation and quantum computing. The text is necessarily rather mathematical in style, but the mathematics nowhere allowed priority over the key physical ideas. My aim throughout was to be as complete and self- contained but to avoid, as far as possible, lengthy and formal mathematical proofs. Each of the eight chapters is followed by about forty exercise problems with which the reader can test their understanding and hone their skills. These will also provide a valuable resource to tutors and lectures.Trade ReviewThis is an excellent introductory book, ideal for a final year UK undergraduate course in QI. It is the best one I have found so far and provides an excellent grounding for more advanced books like Nielsen and Chuang for example * Professor David Toms, Newcastle University *Stephen Barnett's Quantum Information is a concise and remarkably readable account of most of the developments in the field. His book touches on almost all aspects of quantum information and quantum computing, including communication and measurement theory, entanglement, and computing algorithms. An impressive book...The engaging introductory chapters, extensive problem sets, and exhaustive appendices result in a textbook highly recommended for a one-semester course on quantum information at the advanced undergraduate or graduate level. * Physics Today *A carefully written book..., well suited as a textbook..., strong on pedagogy..., accomplishes a lot as a very accessible first introduction to quantum information. * American Journal of Physics *...an impressive book. The engaging introductory chapters, extensive problems sets, and exhaustive appendices result in a textbook that I highly recommend for a one-semester course on quantum information at the advanced undergraduate or graduate level. * M. Suhail Zubairy, Physics Today *A nice introduction to quantum information. * Mathematical Reviews *Table of Contents1. Probability and Information ; 2. Elements of Quantum Theory ; 3. Quantum Cryptography ; 4. Generalized Measurements ; 5. Entaglement ; 6. Quantum Information processing ; 7. Quantum Computation ; 8. Quantum Information theory
£37.04
Oxford University Press Snow Avalanches Beliefs Facts and Science
Book SynopsisThis book provides a critical update of the most recent and innovative developments of avalanche science. It aims at re-founding avalanche science on clear scientific bases, from field observations and experiments up to mathematical and physical analysis and modeling. In this respect, it stands in a still unoccupied but fundamental niche amidst the abundant avalanche literature.In the current context of a accelerated climate warming, the book also discusses possible evolutions of snow cover extent and stability. It also shows how the present analysis can be extended, in mountainous areas, to other gravitationally induced phenomena that are likely to take over from avalanches under specific circumstances.The text is supported by online links to field experiments and lectures on triggering mechanisms, risk management, and decision making.Trade ReviewProvides the best overall understanding of avalanche science in the most practical way. * Henry Schniewind, Director of Henry's Avalanche Talk (HAT), London and Val d'Isère *Table of ContentsINTRODUCTION SNOW, AN INTRIGUING, COMPLEX AND CHANGEABLE SOLID 2.1: From ice to snow 2.2: Snow crystals 2.3: From snowfalls to snow layers 2.4: Snow as a granular medium 2.5: Snow as a porous medium: the concept of percolation BASICS OF DEFORMATION, FRACTURE AND FRICTION PROCESSES 3.1: Deformation of solids 3.2: Fracture initiation and extension 3.3: Griffith's criterion 3.4: The brittle to ductile transition 3.5: Coulomb's law of friction SLAB AVALANCHE RELEASE: DATA AND FIELD EXPERIMENTS 4.1: Geometry and dynamical characteristics 4.2: Statistical aspects: scale invariance 4.3: The weak layer, starting point for slab avalanche release 4.4: Stability and Bridging indexes SLAB AVALANCHE MODELING 5.1: Old myths and beliefs to shoot down 5.2: Basis for modeling 5.3: Statistical approach: Playing with cellular 5.4: Sliding or sticking? 5.5: Slab avalanche release in four steps SUPERFICIAL AND FULL-DEPTH AVALANCHES 6.1: Loose snow avalanches 6.2: Full depth avalanches 6.3: Summary SNOW AND AVALANCHES IN A CLIMATE WARMING CONTEXT 7.1: Climate change 7.2: Possible consequences on avalanching SUMMARY AND CONCLUSION APPENDIX A COMPLEXITY AND CRITICAL PHENOMENA A1: From simple to complex systems A2: Scale invariance and self-organized criticality APPENDIX B MODELING A FLUID TO SOLID PHASE TRANSITION IN SNOW WEAK-LAYERS. B1: A fluid to solid phase transition in healable granular materials B2: Application to slab avalanche release APPENDIX C STABILITY OF A SINTERED WEAK LAYER DISK SURROUNDED BY A RING-SHAPED FLUID WEAK LAYER ZONE
£49.40
Oxford University Press Atomic Pair Distribution Function Analysis
Book SynopsisSince the early 1990s the atomic pair distribution function (PDF) analysis of powder diffraction data has undergone something of a revolution in its ability to do just that: yield important structural information beyond the average crystal structure of a material. With the advent of advanced sources, computing and algorithms, it is now useful for studying the structure of nanocrystals, clusters and molecules in solution or otherwise disordered in space, nanoporous materials and things intercalated into them, and to look for local distortions and defects in crystals. It can be used in a time-resolved way to study structural changes taking place during synthesis and in operating devices, and to map heterogeneous systems.Although the experiments are somewhat straightforward, there can be a gap in knowledge when trying to use PDF to extract structural information by modelling. This book addresses this gap and guides the reader through a series of real life worked examples that gradually inTable of Contents1: Introduction and review 1.1 What this book is not 1.2 What this book is 1.3 Why PDF? 1.4 Software 2: PDF Primer 2.1 Introduction 2.2 X-ray scattering from materials 2.3 Obtaining the PDF from x-ray total scattering data 2.4 The pair distribution function 2.5 Extracting structural information from the PDF 2.6 Measurement of total scattering data 2.7 It is time to start modelling! 3: PDF modelling of simple crystal structures: Bulk Ni and Pt nanoparticles 3.1 Introduction and overview 3.2 The question 3.3 The result 3.4 The experiment 3.5 What next? 3.6 Wait, what? How do I do that? 3.7 Problems 3.8 Solution 3.9 Diffpy-CMI solution 4: Getting the PDF 4.1 Introduction and overview 4.2 The question 4.3 The result 4.4 The experiment 4.5 What next? 4.6 Wait, what? How do I do that? 4.7 results 4.8 problems 4.9 solution 5: Quantification of sample phase composition: physical mixtures of Si and Ni 5.1 Introduction and overview 5.2 The question 5.3 The result 5.4 The experiment 5.5 What next? 5.6 Wait, what? How do I do that? 5.7 Problems 5.8 Solution 5.9 Diffpy-CMI Solution 6: More advanced crystal structure modeling: the room-temperature structure of crystalline Ba0.7K0.3(Zn0.85Mn0.15)2As2 6.1 Introduction and overview 6.2 The question 6.3 The result 6.4 The experiment 6.5 What next? 6.6 Wait, what? How do I do that? 6.7 Problems 6.8 Solution 6.9 Diffpy-CMI Solution 7: Investigating the tetragonal-to-orthorhombic phase transition in SrFe2As2 7.1 Introduction and overview 7.2 The question 7.3 The result 7.4 The experiment 7.5 What next? 7.6 Wait, what? How do I do that? 7.7 Problems 7.8 Solution 7.9 Diffpy-CMI Solution 8: Simple modeling of nanoparticles: Size-dependent structure, defects and morphology of quantum dot nanoparticles 8.1 Introduction and overview 8.2 The question 8.3 The result 8.4 The experiment 8.5 What next? 8.6 Wait, what? How do I do that? 8.7 Problems 8.8 Solutions 8.9 Diffpy-CMI Solution 9: Local structure in a crystal with short-range ordered lower-symmetry domains: Local iridium dimerization and triclinic distortions in cubic CuIr1.76Cr0.24S4 9.1 Introduction and overview 9.2 The question 9.3 The result 9.4 The experiment 9.5 What next? 9.6 Wait, what? How do I do that? 9.7 Problems 9.8 Solution 9.9 Diffpy-CMI Solution 10: Nano and polycrystalline thin films: Local structure of nanocrystalline TiO2 grown on glass 10.1 Introduction and overview 10.2 The question 10.3 The result 10.4 The experiment 10.5 What next? 10.6 Wait, what? How do I do that? 10.7 Problems 10.8 Solution 10.9 Diffpy-CMI Solution 11: Structure of discrete tetrahedral quantum dots: Atomically precise CdSe tetrahedral nanoclusters 11.1 Introduction and overview 11.2 The question 11.3 The result 11.4 The experiment 11.5 What next? 11.6 Wait, what? How do I do that? 11.7 Problems 11.8 Solution 12: Structure and intercalation environment of disordered layered materials: zirconium phosphonateDSphosphate unconventional MOFs 12.1 Introduction . 12.2 The question 12.3 The result 12.4 The experiment 12.5 What next? 12.6 Wait, what? How do I do that? 12.7 Problems 12.8 Solution 13: Magnetic PDF 13.1 Introduction and overview 13.2 The question 13.3 The result 13.4 The experiment 13.5 What next? 13.6 Wait, what? How do I do that? 13.7 Problems 13.8 Solution 14: Tips and Tricks: PDF measurements 14.1 Introduction and overview 14.2 Basic overview: what are total scattering data? 14.3 What type of radiation should I use? 14.4 Detectors 14.5 Sample geometries 14.6 Samples 14.7 Sample environments 15: More PDF Tips and Tricks 15.1 Introduction 15.2 PXRD or PDF, Q-space or r-space analysis? 15.3 Model-free analysis of PDF 15.4 More options for PDF modelling 15.5 Automated PDF modelling 15.6 Final words 16: Appendix 1: Python 16.1 Introduction 16.2 Installing Python programs 16.3 The terminal and the command prompt 16.4 Python IDE>'s and Jupyter Notebooks 17: Appendix 2: Data processing and integration 17.1 Introduction Bibliography
£61.75
Oxford University Press Introduction to Dynamical Wave Function Collapse
Book SynopsisQuantum theory (QT) is the best, most useful physics theory ever invented. For example, ubiquitous are cell phones, laser scanners, medical imagers, all inventions depending on QT. However, there is something deeply wrong with QT. It describes the probabilities of what happens, but it does not give a description of what actually happens. Most (but not all) physicists are not worried about this flaw, the probabilities are good enough for them. Other physicists, the author included, believe that is not good enough. The purpose of physics is to describe reality. To not do so is to abandon ''the great enterprise'' (John Bell). This book shows one way to alter QT so that the new theory does describe what actually happens. This theory, created over three decades ago, has been called the ''Continuous Spontaneous Localization'' (CSL) theory.Many experiments over this period have tested CSL, and so far it is neither confirmed nor refuted. This book shows how CSL works, and discusses its consequTrade ReviewA most welcome addition to the physics literature written with extreme care and covering the objective subject matter in a thorough professional and methodical manner. * Daniel Sudarsky, UNAM, Mexico City *A book of very high quality presenting a way of modifying quantum mechanics to remove some of its most serious problems (especially the measurement problem). * Kelvin McQueen, Chapman University, Orange, California *Pearle is the master of this material and writes with beautiful clarity and well-judged occasional witticisms and side-remarks. His experience as teacher, as well as researcher, shows in the vivid explanations, and the careful and consistent level of detail in the exposition. * Jeremy Butterfield, University of Cambridge *Table of Contents1: Introduction 2: Continuous Spontaneous Localization (CSL) Theory 3: CSL Theory Refinements 4: Non-Relativistic CSL 5: Spontaneous Localization (SL) Theory 6: Some Experiments Testing CSL 7: Interpretational Remarks 8: Supplement to Chapter 1 9: Supplement to Chapter 2 10: Supplement to Chapter 3 11: Supplement to Chapter 4 12: Supplement to Chapter 5 13: Supplement to Chapter 6 14: Supplement to Chapter 7 15: A Stochastic Differential Equation Cookbook 16: CSL Expressed as a Schrodinger Stochastic DE 17: Applying the CSL Stratonovich Equation to the Free Particle Undergoing Collapse in Position 18: Applying the CSL Stratonovich Equation to the Harmonic Oscillator Undergoing Collapse in Position Appendix A: Gaussians Appendix B: Random Walk Appendix C: Brownian Motion/Wiener Process Appendix D: White Noise Appendix E: White Noise Field Appendix F: Density Matrix Appendix G: Theoretical Constraint Calculations
£42.75
Oxford University Press The Nature of Computation
Book SynopsisComputational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long wanted to understand this subject, and experts who want to fall in love with this field all over again.Trade ReviewA creative, insightful, and accessible introduction to the theory of computing, written with a keen eye toward the frontiers of the field and a vivid enthusiasm for the subject matter. * Jon Kleinberg, Cornell University *To put it bluntly: this book rocks! It's 900+ pages of awesome. It somehow manages to combine the fun of a popular book with the intellectual heft of a textbook, so much so that I don't know what to call it (but whatever the genre is, there needs to be more of it!). * Scott Aaronson, Massachusetts Institute of Technology *Moore and Mertens guide the reader through the interesting field of computational complexity in a clear, broadly accessible and informal manner, while systematically explaining the main concepts and approaches in this area and the existing links to other disciplines. The book is comprehensive and can be easily used as a textbook, at both advanced undergraduate and postgraduate levels, but is equally useful for researchers in neighbouring disciplines, such as statistical physics [...]. Some of the material covered, such as approximability issues and Probabilistically Checkable Proofs is typically not presented in books of this type, and the authors do an excellent job in presenting them very clearly and convincingly. * David Saad, Aston University, Birmingham *A treasure trove of ideas, concepts and information on algorithms and complexity theory. Serious material presented in the most delightful manner! * Vijay Vazirani, Georgia Instituute of Technology *In a class by itself - in The Nature of Computation, Cristopher Moore and Stephan Mertens have produced one of the most successful attempts to capture the broad scope and intellectual depth of theoretical computer science as it is practiced today. The Nature of Computation is one of those books you can open to a random page and find something amazing, surprising and, often, very funny. * American Scientist *a comprehensive, accessible, and highly enjoyable book that conveys the key intellectual contributions of the theory of computing ... a valuable resource for any educator * Haris Aziz, SIGACT *The book is highly recommended for all interested readers: in or out of courses, students undergraduate or graduate, researchers in other fields eager to learn the subject, or scholars already in the field who wish to enrich their current understanding. It makes for a great textbook in a conventional theory of computing course, as I can testify from recent personal experience (I used it once; Ill use it again!). With its broad and deep wealth of information, it would be a top contender for one of my desert island books.TNoC speaks directly, clearly, convincingly, and entetainingly, but also goes much further: it inspires. * Frederic Green, SIGACT *Table of Contents1. Prologue ; 2. The Basics ; 3. Insights and Algorithms ; 4. Needles in a Haystack: The class NP ; 5. Who is the Hardest One of All: NP-Completeness ; 6. The Deep Question: P vs. NP ; 7. Memory, Paths and games ; 8. Grand Unified Theory of Computation ; 9. Simply the Best: Optimization ; 10. The Power of Randomness ; 11. Random Walks and Rapid Mixing ; 12. Counting, Sampling, and Statistical Physics ; 13. When Formulas Freeze: Phase Transitions in Computation ; 14. Quantum Computing ; 15. Epilogue ; 16. Appendix: Mathematical Tools
£77.90
Oxford University Press (UK) Theory of Itinerant Electron Magnetism International Series of Monographs on Physics 106
Book SynopsisThis book is an application of quantum and statistical mechanics to the field of magnetism. The microscopic theory of many electron systems is presented in detail. Emphasis is given on how to solve the equations numerically with the use of computer programmes and how to apply them to problems arising in mechanical engineering or material sciences.Trade ReviewTheory of Itinerant Electron Magnetism by Jurgen Kubler is a unique contribution to the study of magnetism, in that it attempts to describe a substantial part of the field using the local density functional approximation (LDA). The author concentrates on itinerant electron systems and emphasizes the importance of the electronic structure to the understanding of magnetic properties of realistic materials. Furthermore, Kubler cautions the reader that LDA does not correspond to the independent-particle picture; he advocates the extensive use of computers to solve the many-electron problem within LDA. However, he makes it very clear that LDA programs running on even the most efficient computers are not the answer to all magnetism questions, particularly those dealing with strongly correlated electron systems, for which no controlled general theory truly exists[...] This book will be useful to many researchers, theorists, and experimentalists alike. * Physics Today *Table of Contents1 INTRODUCTION; 2 DERIVATION OF THE SINGLE-PARTICLE SCHRODINGER EQUATION: DENSITY AND SPIN-DENSITY-FUNCTIONAL THEORY; 3 ENERGY BAND THEORY; 4 ELECTRONIC STRUCTURE AND ITINERANT ELECTRON MAGNETISM; 5 MAGNETISM OF ITINERANT ELECTRON SYSTEMS AT FINITE TEMPERATURES; APPENDIX: THE ASW PROGRAMME; BIBLIOGRAPHY
£78.85
Oxford University Press Quantum Mechanics
Book SynopsisThis book provides the reader with a contemporary and comprehensive introduction to Quantum Mechanics. It is suitable for beginners as well as for more advanced university students. Quantum mechanics is presented in a pedagogical fashion, with a clear logical organization. The various concepts and methods are introduced first in elementary terms, and later developed into more precise formulations. Systematic studies of approximation methods and the discussion of a wide class of physical applications follow.Part I of the book, together with the opening sections of Part II, provide adequate material for an introductory course of one semester at most universities. The rest of the book might be used in an advanced course on Quantum Mechanics. The basic material is fairly standard, even though some discussions such as those on general systems with time-dependent Hamiltonians, on metastable systems, as well as the discussions in some of the Complement sections, may not be found in other textTable of ContentsI; II; III; IV; V
£104.50
Oxford University Press An Introduction to Statistical Mechanics and Thermodynamics
Book SynopsisThis text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter. Conceptual understanding is promoted by thorough development of basic concepts. In contrast to many texts, statistical mechanics, including discussion of the required probability theory, is presented first. This provides a statistical foundation for the concept of entropy, which is central to thermal physics. A unique feature of the book is the development of entropy based on Boltzmann''s 1877 definition; this avoids contradictions or ad hoc corrections found in other texts. Detailed fundamentals provide a natural grounding for advanced topics, such as black-body radiation and quantum gases. An extensive set of problems (solutions are available for lecturers through the OUP website), many including explicit computations, advance the core content by probing essential concepts. The text is designed for a two-semester undergraduate course but can be adapted for one-semeTrade ReviewIn his innovative new text, Carnegie Mellon University physics professor Robert Swendsen presents the foundations of statistical mechanics with, as he puts it, a detour through thermodynamics. That's a desirable strategy because the statistical approach is more fundamental than the classical thermodynamics approach and has many applications to current research problems. [] The mathematical notation is carefully introduced and useful; the selected mathematical techniques are clearly explained in a conversational style that both graduate and advanced undergraduate students will find easy to follow. The author's subject organization and conceptual viewpoint address some of the shortcomings of conventional developments of thermal physics and will be helpful to students and researchers seeking a deep appreciation of statistical physics. * Physics Today *Bob Swendsen's book is very well thought out, educationally sound, and more original than other texts. * Jan Tobochnik, Kalamazoo College, USA *Robert Swendsen is a well-respected researcher who has developed many novel algorithms that illustrate his deep understanding of statistical mechanics. His textbook reflects his deep understanding and will likely have a major impact on the way statistical mechanics and thermodynamics is taught. Particularly noteworthy is Swendsen's treatment of entropy, following Boltzmann's original definition in terms of probability, and his comprehensive discussion of the fundamental principles and applications of statistical mechanics and thermodynamics. Students and instructors will enjoy reading the book as much as Swendsen obviously enjoyed writing it. * Harvey Gould, Clark University, USA *In this reader-friendly, excellent text, the author provides a unique combination of the best of two worlds: traditional thermodynamics (following Callen's footsteps) and modern statistical mechanics (including VPython codes for simulations). * Royce Zia, Virginia Polytechnic Institute and State University, USA *Swendsen is famous for developing Monte Carlo algorithms which dramatically speed up the simulation of many systems near a phase transition. The ideas for those algorithms required deep understanding of statistical mechanics, an understanding which is now fully applied to this excellent textbook. * Peter Young, University of California, USA *Table of ContentsI ENTROPY; II INTRODUCTION TO THERMODYNAMICS; III CLASSICAL STATISTICAL MECHANICS; IV QUANTUM STATISTICAL MECHANICS
£66.60
Oxford University Press Simple Brownian Diffusion An Introduction to the Standard Theoretical Models
Book SynopsisBrownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian diffusion is one of the ways in which key reactant molecules move about inside a living cell. This book focuses on the four simplest models of Brownian diffusion: the classical Fickian model, the Einstein model, the discrete-stochastic (cell-jumping) model, and the Langevin model. The authors carefully develop the theories underlying these models, assess their relative advantages, and clarify their conditions of applicability. Special attention is given to the stochastic simulation of diffusion, and to showing how simulation can complement theory and experiment. Two self-contained tutorial chapters, one on the mathematics of random variables and the other on the mathematics of continuous Markov processes (stochastic differential equations), make the book accessible to researchers from a broad spectrum of technical backgrounds.Trade ReviewIn a lively tutorial style, the authors discuss some of the most widely used mathematical formulations of diffusion. They have endeavored to organize and present the subject matter from a purely logical perspective. They emphasize the basic physical assumptions and the conditions for the validity of each of the mathematical formalisms. No subtlety is bypassed, and no limitation of the theory is swept under the carpet. * Debashish Chowdhury, Physics today *In a lively tutorial style, the authors discuss some of the most widely used mathematical formulations of diffusion. They have endeavored to organize and present the subject matter "from a purely logical perspective". They emphasize the basic physical assumptions and the conditions for the validity of each of the mathematical formalisms. No subtlety is bypassed, and no limitation of the theory is swept under the carpet. * Physics Today *Table of Contents1. The Fickian theory of diffusion ; 2. A review of random variable theory ; 3. Einstein's theory of diffusion ; 4. Implications and limitations of the Einstein theory of diffusion ; 5. The discrete-stochastic approach ; 6. Master equations and simulation algorithms for the discrete-stochastic approach ; 7. Continuous Markov process theory ; 8. Langevin's theory of diffusion ; 9. Implications of Langevin's theory ; 10. Diffusion in an external force field ; 11. The first-passage time approach
£89.10
Taylor & Francis Inc Statistical Mechanics
Book SynopsisThis classic graduate lecture note volume on statistical mechanics focuses on Physics, rather than mathematics. It provides a concise introduction to basic concepts and a clear presentation of difficult topics, while challenging the student to reflect upon as yet unanswered questions.Table of ContentsFront Matter -- INTRODUCTION TO STATISTICAL MECHANICS -- DENSITY MATRICES -- PATH INTEGRALS -- CLASSICAL SYSTEM OF N PARTICLES -- ORDER-DISORDER THEORY -- CREATION AND ANNIHILATION OPERATORS -- SPIN WAVES -- POLARON PROBLEM -- ELECTRON GAS IN A METAL -- SUPERCONDUCTIVITY -- SUPERFLUIDITY
£49.39
John Wiley & Sons Inc Ordering and Phase Transitions in Charged
Book Synopsis* Physical chemists will find this book comprehensive. Topical reviews on all aspects of colloidal ordering and related phase transitions will be covered. It provides a good blend of experimental and theoretical investigations. * Useful to materials scientists and chemical engineers, the book includes a discussion of stability, important from the point of view of applications of colloidal crystals. * Physicists will be interested in the book, because it highlights the controversy over effective interparticle interaction in charged colloids.Table of ContentsFrom the Contents: Interaction, Ordering and Phase Transitions in Charged Colloids: An Introduction/ Video-Microscopic and X-Ray Scattering Studies of Colloidal Dispersions/ Direct Imaging of the Local Dynamics of Colloidal Phase Transitions/ Kinetics of Colloidal Crystallization/ Kossel-Line Analysis for Colloidal Crystal Growth/ Photothermal Stability of Colloidal Crystals/ Order-Disorder Transition in Charged Polydisperse Colloids/ Vapor-Liquid Condensation and Reentrant Transition in Charged Colloids/ Theory of Interactions in Charged Colloids/ Liquid-Solid Transition in Colloidal Suspensions with and without External Emodulations: Density Functional Theory/ Dynamics of Charged Colloidal Suspensions Across the Freezing and Glass Transition/ Determination of Interaction Forces in Colloids: Direct and Indirect Methods.
£305.96
John Wiley & Sons Inc Modes of Parametric Statistical Inference
Book SynopsisA fascinating investigation into the foundations of statistical inference This publication examines the distinct philosophical foundations of different statistical modes of parametric inference.Trade Review"…a terrific resource for students preparing for comprehensive exams and wanting to expand their understanding of statistical inference." (Biometrics, September 2007)Table of ContentsForeword. Preface. 1. A Forerunner. 2. Frequentist Analysis. 3. Likelihood. 4. Testing Hypotheses. 5. Unbiased and Invariant Tests. 6. Elements of Bayesianism. 7. Theories of Estimation. 8. Set and Interval Estimation. References. Index.
£110.66
John Wiley & Sons Inc Thermodynamics and an Introduction to
Book SynopsisThe only text to cover both thermodynamic and statistical mechanics----allowing students to fully master thermodynamics at the macroscopic level. Presents essential ideas on critical phenomena developed over the last decade in simple, qualitative terms.Table of ContentsGENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work Theorem. Alternative Formulations and Legendre Transformations. The Extremum Principle in the Legendre Transformed Representations. Maxwell Relations. Stability of Thermodynamic Systems. First-Order Phase Transitions. Critical Phenomena. The Nernst Postulate. Summary of Principles for General Systems. Properties of Materials. Irreversible Thermodynamics. STATISTICAL MECHANICS. Statistical Mechanics in the Entropy Representation: The Microanonical Formalism. The Canonical Formalism; Statistical Mechanics in Helmholtz Representation. Entropy and Disorder; Generalized Canonical Formulations. Quantum Fluids. Fluctuations. Variational Properties, Perturbation Expansions, and Mean Field Theory. FOUNDATIONS. Postlude: Symmetry and the Conceptual Foundations of Thermostatistics. Appendices. General References. Index.
£205.16
Cambridge University Press Nonequilibrium Molecular Dynamics
Book SynopsisThis book describes the growing field of nonequilibrium molecular dynamics (NEMD), written in the form that will appeal to the general practitioner in molecular simulation. It introduces the theory fundamental to the field, namely nonequilibrium statistical mechanics and nonequilibrium thermodynamics, provides state-of-the-art algorithms and advice for designing reliable NEMD code, and examines applications for both atomic and molecular fluids. It discusses homogenous and inhomogeneous flows and pays considerable attention to highly confined fluids, such as nanofluidics. In addition to statistical mechanics and thermodynamics, the book covers such themes as temperature and thermodynamic fluxes and their computation, the theory and algorithms for homogeneous shear and elongational flows, response theory and its applications, heat and mass transport algorithms, applications in molecular rheology, highly confined fluids (nanofluidics), the phenomenon of slip and how to compute it from basic microscopic principles, and generalized hydrodynamics--Table of Contents1. Introduction; 2. Nonequilibrium thermodynamics; 3. Statistical mechanical foundations; 4. Temperature and thermodynamic fluxes; 5. Homogenous flows for atomic fluids - theory; 6. Homogenous flows for atomic fluids - applications; 7. Homogenous heat and mass transport; 8. Homogenous flows for molecular fluids; 9. Inhomogenous flows for atomic fluids; 10. Confined molecular fluids; 11. Generalised hydrodynamics and slip.
£70.99
Cambridge University Press Statistical Field Theory Volume 2 Strong Coupling Monte Carlo Methods Conformal Field Theory and Random Systems
Book SynopsisThis two-volume work provides a comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research.Trade Review"Considérant la qualité du matériel et de la présentation, je trouve le prix excellent et je ne peux que recommander l'achat de ces deux bouquins." Physics in Canada"I strongly recommend these two volumes to anyone from intermediate graduate students to active experienced researchers to aging veterans who need to be reminded of or learn for the first time the broad conceptual framework underlying the many current applications of field theoretic methods." Paul Ginsparg, Foundations of Physics"...a useful addition to a personal or an institutional library at a modest cost." C. A. Hurst, Mathematical ReviewsTable of Contents1. Diagrammatic methods; 2. Numerical simulations; 3. Conformal invariance; 4. Disordered systems and Fermionic methods; 5. Random geometry.
£74.99
Cambridge University Press A Practical Guide to Data Analysis for Physical Science Students
Book SynopsisThis textbook is intended for undergraduates who are carrying out laboratory experiments in the physical sciences for the first time. It is a practical guide on how to analyse data and estimate errors. The necessary formulas for performing calculations are given, and the ideas behind them are explained, although this is not a formal text on statistics.Trade Review' … a very useful book … clear and lucid and designed to be taken into the laboratory … a valuable contribution to the education of physics undergraduates.' The Times Higher Education SupplementTable of ContentsPreface; Glossary; 1. Experimental errors; 1.1. Why estimate errors?; 1.2. Random and systematic errors; 1.3. Distributions; 1.4. Mean and variance; 1.5. Gaussian distribution; 1.6. The meaning of s; 1.7. Combining errors; 1.8. Systematic errors; 1.9. An example including random and systematic errors; 1.10. Combining results of different experiments; 1.11. Worked examples; 1.12. Does it feel right?; 2. Least squares fitting; 2.1. What are we trying to do; 2.2. Weighted sum of squares; 2.3. Determining the parameters; 2.4. The error on the gradient and the intercept; 2.5. Other examples; 2.6. Observed numbers; 2.7. Parameter testing; 2.8. Distribution testing; 2.9. Worked example of a straight line fit; 2.10. Summary of straight line fitting; Problems; Appendices.
£75.99
Cambridge University Press An Introduction to the Modeling of Neural Networks
This text is a beginning graduate-level introduction to neural networks, focussing on current theoretical models, examining what these models can reveal about how the brain functions, and discussing the ramifications for psychology, artificial intelligence and the construction of a new generation of intelligent computers.
£137.75
Cambridge University Press A Practical Guide to Data Analysis
Book SynopsisThis textbook is intended for undergraduates who are carrying out laboratory experiments in the physical sciences for the first time. It is a practical guide on how to analyse data and estimate errors. The necessary formulas for performing calculations are given, and the ideas behind them are explained, although this is not a formal text on statistics.Trade Review' … a very useful book … clear and lucid and designed to be taken into the laboratory … a valuable contribution to the education of physics undergraduates.' The Times Higher Education SupplementTable of ContentsPreface; Glossary; 1. Experimental errors; 1.1. Why estimate errors?; 1.2. Random and systematic errors; 1.3. Distributions; 1.4. Mean and variance; 1.5. Gaussian distribution; 1.6. The meaning of s; 1.7. Combining errors; 1.8. Systematic errors; 1.9. An example including random and systematic errors; 1.10. Combining results of different experiments; 1.11. Worked examples; 1.12. Does it feel right?; 2. Least squares fitting; 2.1. What are we trying to do; 2.2. Weighted sum of squares; 2.3. Determining the parameters; 2.4. The error on the gradient and the intercept; 2.5. Other examples; 2.6. Observed numbers; 2.7. Parameter testing; 2.8. Distribution testing; 2.9. Worked example of a straight line fit; 2.10. Summary of straight line fitting; Problems; Appendices.
£30.99
Cambridge University Press Scaling and Renormalization in Statistical
Book SynopsisA thoroughly modern graduate-level introduction to the theory of critical behaviour.Trade Review' … a short but very intelligible textbook well equilibrated by a variety of material.' V. Zagrebnov, Zentralblatt Math'Supported with interesting exercises at the end of each chapter, Cardy's book is likely to prove a popular introduction to this demanding but extraordinarily successful method for probing many complex phenomena.' Robert Matthews New ScientistTable of ContentsPreface; 1. Phase transitions in simple systems; 2. Mean field theory; 3. The renormalization group idea; 4. Phase diagrams and fixed points; 5. The perturbative renormalization group; 6. Near two dimensions; 7. Surface critical behaviour; 8. Random systems; 9. Polymer statistics; 10. Critical dynamics; 11. Conformal symmetry; Appendix: Gaussian integration; Selected bibliography; Index.
£53.99
Cambridge University Press String Theory and Particle Physics An Introduction to String Phenomenology
Book SynopsisAimed at graduate students and researchers working in high energy physics, this book is a systematic introduction to string phenomenology. Focused on the detailed description of how string theory is connected to the real world of particle physics, it provides explicit models of physics beyond the Standard Model.Trade Review'This is the first fully modern treatment of string compactifications, written by two of the masters of the subject. It provides an excellent general introduction to string theory, and in-depth coverage of both the latest developments (including detailed pedagogical discussions of frontier topics like flux compactifications and D-brane instanton effects), as well as more traditional subjects (such as model-building with heterotic strings). It will be invaluable as a textbook for curious students, and a reference volume of lasting value for experts working in the field. If, as many of us hope, the LHC era reveals new clues linking particle physics to string-scale physics, acquaintance with the material in this volume may well provide crucial tools for exploring and exploiting those links.' Shamit Kachru, Stanford University and SLAC'A clear exposition of the main ideas and ingredients necessary to connect string theory to the real world. An essential toolkit for the string theory model builder.' Juan Maldacena, Institute for Advanced Study, Princeton'… a unique and long awaited book written by two of the leading figures in the field … This is the first book that is devoted to summarise the research that has been performed during the past 25 years on the effort to extract physical implications of string theory … The authors have managed to find an excellent balance between the rigour of the content while at the same time making it pedagogical enough to be followed by a wide audience. It will provide invaluable and comprehensive material for graduate students entering the field, for non-string theorists who want to expand their research projects but also as the best authoritative source of information for active string theorists. This will be the standard reference on this active field for years to come.' Fernando Quevedo, Professor of Theoretical Physics, DAMTP, University of Cambridge and Director ICTP, Trieste'The scope of this book is impressive, covering all the major developments in the construction of compactified string theories. As an introduction to string theory it is excellent and, as a tool for constructing realistic models, unmatched. Essential reading for all those wishing to study string theory in depth and an invaluable reference for those already expert in the field.' Graham Ross, University of Oxford'… an excellent text. It is also a useful resource for experienced researchers, since much of the material, otherwise difficult to obtain (or even to read), has been curated in a pedagogically sound and clear fashion.' Physics TodayTable of ContentsPreface; 1. The standard model and beyond; 2. Supersymmetry; 3. Introduction to string theory: the bosonic string; 4. Superstrings; 5. Toroidal compactification of superstrings; 6. Branes and string duality; 7. Calabi–Yau compactifications of heterotic superstrings; 8. Heterotic string orbifolds and other exact CFT constructions; 9. Heterotic string compactifications: effective action; 10. Type IIA orientifold compactifications: intersecting brane worlds; 11. Type IIB orientifold compactifications; 12. Type II compactifications: effective action; 13. String instantons and effective field theory; 14. Flux compactifications and moduli stabilization; 15. Moduli stabilization and supersymmetry breaking in string theory; 16. Further phenomenological properties. Strings and cosmology; 17. The space of string vacua; Appendices; Index.
£47.99
Cambridge University Press Nonequilibrium Quantum Field Theory
£60.99
Cambridge University Press Differential Geometry and Lie Groups for Physicists
Book SynopsisDifferential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does nTrade ReviewReview of the hardback: 'All basic material that is necessary for a young scientist in the field of geometrical formulation of physical theories is included … ordered and represented in a very appropriate manner … with a great respect to the reader. … I truly believe that reading this book will bring a real pleasure to all physically inclined young mathematicians and mathematically inclined young physicists … a very good high level textbook … [I] recommend it to all young scientists being interested in finding correspondence between harmony in the physical world and harmony in geometrical structures. … well written, very well ordered and the exposition is very clear.' Journal of Geometry and Symmetry in PhysicsReview of the hardback: 'the contents of this book covers a lot (if not most) of what a theoretical physicist might wish to know about differential geometry and Lie groups. particularly useful may be that the modern formalism is always related to the classical one with tensor indices still mostly used in the physics literature.' American Mathematical SocietyReview of the hardback: '… the presentation is almost colloquial and this makes reading rather pleasant. The author has made a concerted effort to give intuitive interpretations of complicated ideas such as: the Lie derivative, tensors, the Hodge star operator, Lie group representations, Hamiltonian and Lagrangian mechanics, parallel transport, connections, curvature, gauge theories, spinors and Dirac operators. This will be much appreciated by students (and even researchers, I think). … an excellent reference for geometers.' Zentralblatt MATHReview of the hardback: 'The contents of this book cover a lot (if not most) of what a theoretical physicist might wish to know about differential geometry and Lie groups.' Mathematical Reviews Hans-Peter KünzleReview of the hardback: 'Marian Fecko deftly guides you through the material step-by-step, with all the rigour, but without the pain. When going through the chapters, definition by definition, proof by proof and hint by hint, you get an impression of a caring, experienced (and often quirkily funny, but never boring) tutor who really, really wants you to succeed.' Physics in CanadaReview of the hardback: 'From the point of view of presentation the book has a lot going for it. It is written in a pedagogically discursive, conversational style with numerous workable examples and exercises distributed through the text. … From the UK perspective a student undertaking a level 4 (level 5 in Scotland) or MSc course in theoretical physics would find this book well-pitched to his or her needs.' Contemporary PhysicsTable of ContentsIntroduction; 1. The concept of a manifold; 2. Vector and tensor fields; 3. Mappings of tensors induced by mappings of manifolds; 4. Lie derivative; 5. Exterior algebra; 6. Differential calculus of forms; 7. Integral calculus of forms; 8. Particular cases and applications of Stoke's Theorem; 9. Poincaré Lemma and cohomologies; 10. Lie Groups - basic facts; 11. Differential geometry of Lie Groups; 12. Representations of Lie Groups and Lie Algebras; 13. Actions of Lie Groups and Lie Algebras on manifolds; 14. Hamiltonian mechanics and symplectic manifolds; 15. Parallel transport and linear connection on M; 16. Field theory and the language of forms; 17. Differential geometry on TM and T*M; 18. Hamiltonian and Lagrangian equations; 19. Linear connection and the frame bundle; 20. Connection on a principal G-bundle; 21. Gauge theories and connections; 22. Spinor fields and Dirac operator; Appendices; Bibliography; Index.
£132.05
Cambridge University Press Mathematics for Physics A Guided Tour for Graduate Students
Book SynopsisAn engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. Topics are illustrated through carefully chosen examples, exercises and problems drawn from realistic physics settings. Solutions to the exercises are available at www.cambridge.org/9780521854030.Trade Review'The amount of material in Mathematics for Physics is definitely more than enough for two single-term courses; that provides a potential lecturer considerable flexibility. … The many features that make the book valuable to students and teachers also represent a substantial step toward making modern mathematics a part of the working arsenal of practising physicists. I strongly recommend it to those who feel the need to upgrade their mathematics repertoire.' Physics TodayTable of ContentsPreface; 1. Calculus of variations; 2. Function spaces; 3. Linear ordinary differential equations; 4. Linear differential operators; 5. Green functions; 6. Partial differential equations; 7. The mathematics of real waves; 8. Special functions; 9. Integral equations; 10. Vectors and tensors; 11. Differential calculus on manifolds; 12. Integration on manifolds; 13. An introduction to differential topology; 14. Group and group representations; 15. Lie groups; 16. The geometry of fibre bundles; 17. Complex analysis I; 18. Applications of complex variables; 19. Special functions and complex variables; Appendixes; Reference; Index.
£74.99
Cambridge University Press Statistical Physics of Fields
Book SynopsisThis textbook demonstrates how statistical field theories are formulated and studied. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Ideal for advanced graduate courses in statistical physics; some solutions are provided with a full set for lecturers at www.cambridge.org/9780521873413.Trade Review'In this much-needed modern text, Kardar presents a remarkably clear view of statistical mechanics as a whole, revealing the relationships between different parts of this diverse subject. In two volumes, the classical beginnings of thermodynamics are connected smoothly to a thoroughly modern view of fluctuation effects, stochastic dynamics, and renormalization and scaling theory. Students will appreciate the precision and clarity in which difficult concepts are presented in generality and by example. I particularly like the wealth of interesting and instructive problems inspired by diverse phenomena throughout physics (and beyond!), which illustrate the power and broad applicability of statistical mechanics.' Leon Balents, University of California, Santa Barbara'Statistical Physics of Particles is the welcome result of an innovative and popular graduate course Kardar has been teaching at MIT for almost twenty years. It is a masterful account of the essentials of a subject which played a vital role in the development of twentieth century physics, not only surviving, but enriching the development of quantum mechanics. Its importance to science in the future can only increase with the rise of subjects such as quantitative biology. Statistical Physics of Fields builds on the foundation laid by the Statistical Physics of Particles, with an account of the revolutionary developments of the past 35 years, many of which were facilitated by renormalization group ideas. Much of the subject matter is inspired by problems in condensed matter physics, with a number of pioneering contributions originally due to Kardar himself. This lucid exposition should be of particular interest to theorists with backgrounds in field theory and statistical mechanics.' David R. Nelson, Harvard University'If Landau and Lifshitz were to prepare a new edition of their classic Statistical Physics text they might produce a book not unlike this gem by Mehran Kardar. Indeed, Kardar is an extremely rare scientist, being both brilliant in formalism and an astoundingly careful and thorough teacher. He demonstrates both aspects of his range of talents in this pair of books, which belong on the bookshelf of every serious student of theoretical statistical physics. Kardar does a particularly thorough job of explaining the subtleties of theoretical topics too new to have been included even in Landau and Lifshitz most recent Third Edition (1980), such as directed paths in random media and the dynamics of growing surfaces, which are not in any text to my knowledge. He also provides careful discussion of topics that do appear in most modern texts on theoretical statistical physics, such as scaling and renormalization group.' H. Eugene Stanley, Boston University'This is one of the most valuable textbook I have seen in a long time. Written by a leader in the field, it provides a crystal clear, elegant and comprehensive coverage of the field of statistical physics. I'm sure this book will become 'the' reference for the next generation of researchers, students and practitioners in statistical physics. I wish I had this book when I was a student but I will have the privilege to rely on it for my teaching.' Alessandro Vespignani, Indiana University'… the first eight chapters of Statistical Physics of Fields are stunning. … Kardar has produced an excellent and unique textbook that will serve our community well for many years.' Physics TodayTable of Contents1. Collective behaviour, from particles to fields; 2. Statistical fields; 3. Fluctuations; 4. The scaling hypothesis; 5. Perturbative renormalization group; 6. Lattice systems; 7. Series expansions; 8. Beyond spin waves; 9. Dissipative dynamics; 10. Directed paths in random media; Solutions to selected problems; Index.
£72.99
Cambridge University Press Statistical Physics of Particles
Book SynopsisBased on lectures for a statistical mechanics course, this textbook introduces the central concepts and tools of statistical physics including solutions that are available to lecturers at www.cambridge.org/9780521873420. A companion volume, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.Trade Review'In this much-needed modern text, Kardar presents a remarkably clear view of statistical mechanics as a whole, revealing the relationships between different parts of this diverse subject. In two volumes, the classical beginnings of thermodynamics are connected smoothly to a thoroughly modern view of fluctuation effects, stochastic dynamics, and renormalization and scaling theory. Students will appreciate the precision and clarity in which difficult concepts are presented in generality and by example. I particularly like the wealth of interesting and instructive problems inspired by diverse phenomena throughout physics (and beyond!), which illustrate the power and broad applicability of statistical mechanics.' Leon Balents, University of California, Santa Barbara'Statistical Physics of Particles is the welcome result of an innovative and popular graduate course Kardar has been teaching at MIT for almost twenty years. It is a masterful account of the essentials of a subject which played a vital role in the development of twentieth century physics, not only surviving, but enriching the development of quantum mechanics. Its importance to science in the future can only increase with the rise of subjects such as quantitative biology. Statistical Physics of Fields builds on the foundation laid by the Statistical Physics of Particles, with an account of the revolutionary developments of the past 35 years, many of which were facilitated by renormalization group ideas. Much of the subject matter is inspired by problems in condensed matter physics, with a number of pioneering contributions originally due to Kardar himself. This lucid exposition should be of particular interest to theorists with backgrounds in field theory and statistical mechanics.' David R. Nelson, Harvard University'If Landau and Lifshitz were to prepare a new edition of their classic Statistical Physics text they might produce a book not unlike this gem by Mehran Kardar. Indeed, Kardar is an extremely rare scientist, being both brilliant in formalism and an astoundingly careful and thorough teacher. He demonstrates both aspects of his range of talents in this pair of books, which belong on the bookshelf of every serious student of theoretical statistical physics. Kardar does a particularly thorough job of explaining the subtleties of theoretical topics too new to have been included even in Landau and Lifshitz most recent Third Edition (1980), such as directed paths in random media and the dynamics of growing surfaces, which are not in any text to my knowledge. He also provides careful discussion of topics that do appear in most modern texts on theoretical statistical physics, such as scaling and renormalization group.' H. Eugene Stanley, Boston University'This is one of the most valuable textbook I have seen in a long time. Written by a leader in the field, it provides a crystal clear, elegant and comprehensive coverage of the field of statistical physics. I'm sure this book will become 'the' reference for the next generation of researchers, students and practitioners in statistical physics. I wish I had this book when I was a student but I will have the privilege to rely on it for my teaching.' Alessandro Vespignani, Indiana UniversityTable of Contents1. Thermodynamics; 2. Probability; 3. Kinetic theory of gases; 4. Classical statistical mechanics; 5. Interacting particles; 6. Quantum statistical mechanics; 7. Ideal quantum gases; Solutions to selected problems; Index.
£52.24
Cambridge University Press A First Course in String Theory
Book SynopsisZwiebach is once again faithful to his goal of making string theory accessible to undergraduates. This text now includes AdS/CFT correspondence, as well introducing superstrings. With almost 300 problems and exercises it is perfectly suited for introductory courses for students with a background in physics.Trade Review'A refreshingly different approach to string theory that requires remarkably little previous knowledge of quantum theory or relativity. This highlights fundamental features of the theory that make it so radically different from theories based on point-like particles. This book makes the subject amenable to undergraduates but it will also appeal greatly to beginning researchers who may be overwhelmed by the standard textbooks.' Michael Green, University of Cambridge'Barton Zwiebach has written a careful and thorough introduction to string theory that is suitable for a full-year course at the advanced undergraduate level. There has been much demand for a book about string theory at this level, and this one should go a long way towards meeting that demand.' John Schwarz, California Institute of Technology'There is a great curiosity about string theory, not only among physics undergraduates but also among professional scientists outside of the field. This audience needs a text that goes much further than the popular accounts but without the full technical detail of a graduate text. Zwiebach's book meets this need in a clear and accessible manner. It is well-grounded in familiar physical concepts, and proceeds through some of the most timely and exciting aspects of the subject.' Joseph Polchinski, University of California, Santa Barbara'Zwiebach, a respected researcher in the field and a much beloved teacher at MIT, is truly faithful to his goal of making string theory accessible to advanced undergraduates – the test develops intuition before formalism, usually through simplified and illustrative examples … Zwiebach avoids the temptation of including topics that would weigh the book down and make many students rush it back to the shelf and quit the course.' Physics Today'… well-written … takes us through the hottest topics in string theory research, requiring only a solid background in mechanics and some basic quantum mechanics. … This is not just one more text in the ever-growing canon of popular books on string theory …' The Times Higher Education Supplement'… the book provides an excellent basis for an introductory course on string theory and is well-suited for self-study by graduate students or any physicist who wants to learn the basics of string theory.' Zentralblatt MATH'… excellent introduction by Zwiebach… aimed at advanced undergraduates who have some background in quantum mechanics and special relativity, but have not necessarily mastered quantum field theory and general relativity yet … the book … is a very thorough introduction to the subject … Equipped with this background, the reader can safely start to tackle the books by Green, Schwarz and Witten and by Polchinski.' Marcel L. Vonk, Mathematical Reviews ClippingsTable of ContentsForeword; Preface; Acknowledgements; Part I. Basics: 1. A brief introduction; 2. Special relativity and extra dimensions; 3. Electromagnetism and gravitation in various dimensions; 4. Nonrelativistic strings; 5. The relativistic point particle; 6. Relativistic strings; 7. Strong parameterization and classical motion; 8. World-sheet currents; 9. Light-cone relativistic strings; 10. Light-cone fields and particles; 11. The relativistic quantum point particle; 12, Relativistic quantum closed strings; 13. Relativistic quantum closed strings; 14. A look at relativistic superstrings; Part II. Developments: 15. D-branes and gauge fields; 16. String charge and electric charge; 17. T-duality of closed strings; 18. T-duality of open strings; 19. Electromagnetism fields in D-branes; 20. Nonlinear and Born-Infeld electrodynamics; 21. Strong theory and particle physics; 22. String thermodynamics and black holes; 23. Strong interactions and AdS/CFT; 24. Covariant string quantization; 25. String interactions and Riemann surfaces; 26. Loop amplitudes in string theory; References; Index.
£60.99
Cambridge University Press The Kerr Spacetime Rotating Black Holes in General Relativity
Book SynopsisRotating black holes, as described by the Kerr space-time, are the key to understanding the most violent and energetic phenomena in the Universe, from the core collapse of massive supernova explosions producing powerful bursts of gamma rays, to supermassive black hole engines that power quasars and other active galactic nuclei. This book is a unique, comprehensive overview of the Kerr space-time, with original contributions and historical accounts from researchers who have pioneered the theory and observation of black holes, and Roy Kerr's own description of his 1963 discovery. It covers all aspects of rotating black holes, from mathematical relativity to astrophysical applications and observations, and current theoretical frontiers. This book provides an excellent introduction and survey of the Kerr space-time for researchers and graduate students across the spectrum of observational and theoretical astrophysics, general relativity, and high-energy physics.Table of ContentsList of illustrations; Contributors; Foreword; Part I. General Relativity: Classical Studies of the Kerr Geometry: 1. The Kerr spacetime: a brief introduction Matt Visser; 2. The Kerr and Kerr-Schild metrics Roy P. Kerr; 3. Roy Kerr and twistor theory Roger Penrose; 4. Global and local problems solved by the Kerr metric Brandon Carter; 5. Four decades of black hole uniqueness theorems David C. Robinson; 6. Ray-traced visualisations Benjamin R. Lewis, Susan M. Scott; Part II. Astrophysics: The Ongoing Observational Revolution: 7. The ergosphere and dyadosphere of the Kerr black hole Remo Ruffini; 8. Supermassive Black Holes Fulvio Melia; 9. The X-ray spectra of accreting Kerr black holes Andrew C. Fabian, Giovanni Miniutti; 10. Cosmological flashes from rotating black holes Maurice H.P.M. van Putten; Part III. Quantum Gravity: Rotating Black Holes at the Theoretical Frontiers: 11. Horizon constraints and black hole entropy Steve Carlip; 12. Higher dimensional generalizations of the Kerr black hole Gary T. Horowitz; Part IV. Appendices: 13. Gravitational field of a spinning mass … Roy P. Kerr; 14. Gravitational collapse and rotation Roy P. Kerr; Index.
£128.25
Cambridge University Press Contemporary Kinetic Theory of Matter
Book SynopsisKinetic theory provides a microscopic description of many macroscopic systems in physics, astronomy, chemistry, and engineering. A thorough examination of many topics concerning time dependent phenomena in material systems, this book describes both current knowledge as well as future directions of the field.Trade Review'This substantial volume provides a detailed mathematical framework for the qualitative treatment of non-equilibrium processes in classical and quantum fluids, including those found in astrophysical situations.' The ObservatoryTable of Contents1. Introduction; 2. The Boltzmann equation 1: Fundamentals; 3. The Boltzmann equation 2: Fluid dynamics; 4. Dilute gas mixtures; 5. The dilute Lorentz gas; 6. Basic tools; 7. Enskog theory: Dense hard sphere systems; 8. The Boltzmann-Langevin equation; 9. Granular gases; 10. Quantum gases; 11. Cluster expansions; 12. Divergences and resummations; 13. Long time tails; 14. Non-equilibrium steady states; 15. What's next; Bibliography; Index.
£161.50
Princeton University Press Impulsive and Hybrid Dynamical Systems
Book SynopsisDevelops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. This book is written from a system-theoretic point of view and is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists.Trade ReviewWassim Haddad, Winner of the 2014 Pendray Aerospace Literature Award, American Institute of Aeronautics and Astronautics "With the growing interest in hybrid dynamical systems, the book forms a welcome text dealing with a restricted well-defined class of hybrid systems. Typical subjects that receive attention throughout are set-stability, energy based control, inverse-optimal control, etc. The book may be viewed as a welcome addition in the areas of hybrid systems, containing rigorous and detailed results."--Henk Nijmeijer,Mathematical Reviews "This book fills a void in the are of systems research and is a welcome addition to the literature on hybrid and impulsive systems. The book is well organized, well written, and rigorous in the development of their subject on hand. The authors are to be commended for their scholarly contribution on a subject that is still evolving."--Anthony N. Michel, IEEE Control Systems MagazineTable of ContentsPreface xiii Chapter 1. Introduction 1 1.1 Impulsive and Hybrid Dynamical Systems 1 1.2 A Brief Outline of the Monograph 4 Chapter 2. Stability Theory for Nonlinear Impulsive Dynamical Systems 9 2.1 Introduction 9 2.2 Nonlinear Impulsive Dynamical Systems 11 2.3 Stability Theory of Impulsive Dynamical Systems 20 2.4 An Invariance Principle for State-Dependent Impulsive Dynamical Systems 27 2.5 Necessary and Sufficient Conditions for Quasi-Continuous Dependence 32 2.6 Invariant Set Theorems for State-Dependent Impulsive Dynamical Systems 38 2.7 Partial Stability of State-Dependent Impulsive Dynamical Systems 44 2.8 Stability of Time-Dependent Impulsive Dynamical Systems 56 2.9 Lagrange Stability, Boundedness, and Ultimate Boundedness 63 2.10 Stability Theory via Vector Lyapunov Functions 71 Chapter 3. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems 81 3.1 Introduction 81 3.2 Dissipative Impulsive Dynamical Systems: Input-Output and State Properties 84 3.3 Extended Kalman-Yakubovich-Popov Conditions for Impulsive Dynamical Systems 103 3.4 Specialization to Linear Impulsive Dynamical Systems 119 Chapter 4. Impulsive Nonnegative and Compartmental Dynamical Systems 125 4.1 Introduction 125 4.2 Stability Theory for Nonlinear Impulsive Nonnegative Dynamical Systems 126 4.3 Impulsive Compartmental Dynamical Systems 131 4.4 Dissipativity Theory for Impulsive Nonnegative Dynamical Systems 135 4.5 Specialization to Linear Impulsive Dynamical Systems 143 Chapter 5. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems 147 5.1 Introduction 147 5.2 Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems 150 5.3 Extended Kalman-Yakubovich-Popov Conditions for Large-Scale Impulsive Dynamical Systems 175 5.4 Specialization to Large-Scale Linear Impulsive Dynamical Systems 186 Chapter 6. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems 191 6.1 Introduction 191 6.2 Stability of Feedback Interconnections of Dissipative Impulsive Dynamical Systems 191 6.3 Hybrid Controllers for Combustion Systems 199 6.4 Feedback Interconnections of Nonlinear Impulsive Nonnegative Dynamical Systems 208 6.5 Stability of Feedback Interconnections of Large-Scale Impulsive Dynamical Systems 214 Chapter 7. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems 221 7.1 Introduction 221 7.2 Impulsive Port-Controlled Hamiltonian Systems 222 7.3 Energy-Based Hybrid Feedback Control 227 7.4 Energy-Based Hybrid Dynamic Compensation via the Energy-Casimir Method 233 7.5 Energy-Based Hybrid Control Design 242 Chapter 8. Energy and Entropy-Based Hybrid Stabilization for Nonlinear Dynamical Systems 249 8.1 Introduction 249 8.2 Hybrid Control and Impulsive Dynamical Systems 251 8.3 Hybrid Control Design for Dissipative Dynamical Systems 258 8.4 Lagrangian and Hamiltonian Dynamical Systems 265 8.5 Hybrid Control Design for Euler-Lagrange Systems 267 8.6 Thermodynamic Stabilization 271 8.7 Energy-Dissipating Hybrid Control Design 277 8.8 Energy-Dissipating Hybrid Control for Impulsive Dynamical Systems 300 8.9 Hybrid Control Design for Nonsmooth Euler-Lagrange Systems 308 8.10 Hybrid Control Design for Impact Mechanics 313 Chapter 9. Optimal Control for Impulsive Dynamical Systems 319 9.1 Introduction 319 9.2 Impulsive Optimal Control 319 9.3 Inverse Optimal Control for Nonlinear Affine Impulsive Systems 330 9.4 Nonlinear Hybrid Control with Polynomial and Multilinear Performance Functionals 333 9.5 Gain, Sector, and Disk Margins for Optimal Hybrid Regulators 337 9.6 Inverse Optimal Control for Impulsive Port-Controlled Hamiltonian Systems 345 Chapter 10. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems 351 10.1 Introduction 351 10.2 Nonlinear Impulsive Dynamical Systems with Bounded Disturbances 352 10.3 Specialization to Dissipative Impulsive Dynamical Systems with Quadratic Supply Rates 358 10.4 Optimal Controllers for Nonlinear Impulsive Dynamical Systems with Bounded Disturbances 366 10.5 Optimal and Inverse Optimal Nonlinear-Nonquadratic Control for Affine Systems with L2 Disturbances 375 Chapter 11. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems 385 11.1 Introduction 385 11.2 Robust Stability Analysis of Nonlinear Uncertain Impulsive Dynamical Systems 386 11.3 Optimal Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems 395 11.4 Inverse Optimal Robust Control for Nonlinear Affine Uncertain Impulsive Dynamical Systems 402 11.5 Robust Nonlinear Hybrid Control with Polynomial Performance Functionals 406 Chapter 12. Hybrid Dynamical Systems 411 12.1 Introduction 411 12.2 Left-Continuous Dynamical Systems 412 12.3 Specialization to Hybrid and Impulsive Dynamical Systems 418 12.4 Stability Analysis of Left-Continuous Dynamical Systems 422 12.5 Dissipative Left-Continuous Dynamical Systems: Input-Output and State Properties 427 12.6 Interconnections of Dissipative Left-Continuous Dynamical Systems 435 Chapter 13. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems 443 13.1 Introduction 443 13.2 Left-Continuous Dynamical Systems with Periodic Solutions 444 13.3 Specialization to Impulsive Dynamical Systems 451 13.4 Limit Cycle Analysis of a Verge and Foliot Clock Escapement 458 13.5 Modeling 459 13.6 Impulsive Differential Equation Model 462 13.7 Characterization of Periodic Orbits 464 13.8 Limit Cycle Analysis of the Clock Escapement Mechanism 468 13.9 Numerical Simulation of an Escapement Mechanism 472 Appendix A. System Functions for the Clock Escapement Mechanism 477 Bibliography 485 Index 501
£92.65
Princeton University Press Stochastic Thermodynamics
Book Synopsis
£59.50
Princeton University Press Statistical Physics
Book SynopsisTrade Review"Kip S. Thorne, Co-Winner of the 2017 Nobel Prize in Physics""Roger D. Blandford, Co-Winner of the 2016 Crafoord Prize in Astronomy and Winner of the 2020 Shaw Prize in Astronomy"
£42.50
Taylor & Francis Ltd Thermodynamics of the Glassy State Condensed
Book SynopsisIn the past thirty years, the area of spin glasses has experienced rapid growth, including the development of solvable models for glassy systems. Yet these developments have only been recorded in the original research papers, rather than in a single source. Thermodynamics of the Glassy State presents a comprehensive account of the modern theory of glasses, starting from basic principles (thermodynamics) to the experimental analysis of one of the most important consequences of thermodynamics-Maxwell relations.After a brief introduction to general theoretical concepts and historical developments, the book thoroughly describes glassy phenomenology and the established theory. The core of the book surveys the crucial technique of two-temperature thermodynamics, explains the success of this method in resolving previously paradoxical problems in glasses, and presents exactly solvable models, a physically realistic approach to dynamics with advantages over more established mean field mTable of ContentsIntroduction. Theory and Phenomenology of Glasses. Two-Temperature Thermodynamics. Exactly Solvable Models for the Glassy State. Aging Urn Models. Glassiness in a Directed Polymer Model. Potential Energy Landscape Approach. Theories of the Glassy State. Bibliography. Index.
£166.25
Taylor & Francis Inc College Physics Essentials Eighth Edition
Book Synopsis
£218.50
Nova Science Publishers Inc Hadronic Mechanics Nonpotential Interactions
Book Synopsis
£177.59
Cambridge University Press Network Science in Archaeology
Book SynopsisThis book covers a vast range of network science techniques that can enhance archaeological research: network data collection and management, exploratory network analysis, sampling issues and sensitivity analysis, spatial networks, and network visualisation. It will be a key educational resource students and teachers.Table of Contents1. Introducing network science for archaeology; 2. Putting network science to work in archaeological research; 3. Network data; 4. Exploratory network analysis; 5. Quantifying uncertainty in archaeological networks; 6. Network visualisation; 7. Spatial networks and networks in space; 8. Uniting theory and method for archaeological network research; Appendix A: Answers for exercises; Appendix B: Software; Glossary.
£33.24
Cambridge University Press Statistical Mechanics for Physicists and
Book Synopsis
£56.99
Taylor & Francis Ltd Electrodynamics Tutorials with Python Simulations
Book SynopsisThis book provides an accessible introduction to intermediate-level electrodynamics with computa- tional approaches to complement a traditional mathematical treatment of the subject. It covers key topics in electrodynamics, such as electromagnetic fields, forces, potentials, and waves as well as Special Theory of Relativity.Through intuition-building examples and visualizations in the Python programming language, it helps readers to develop technical computing skills in numerical and symbolic calculations, modeling and simulations, and visualizations. Python is a highly readable and practical programming language, making this book appropriate for students without extensive programming experience.This book can serve as an electrodynamics textbook for undergraduate physics and engineering students in their second or third years, who are studying intermediate- or advanced-level electrodynamics and who want to learn techniques for scientific computing at the same time. Thi
£43.69
Springer-Verlag New York Inc. Ergodic Theory
Book SynopsisThis volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems.Table of ContentsIntroduction to Ergodic Theory Ergodic Theory: Basic Examples and Constructions Ergodicity and Mixing Properties Ergodic Theory: Recurrence Ergodic Theorems Spectral Theory of Dynamical Systems Joinings in Ergodic Theory Entropy in Ergodic Theory Isomorphism Theory in Ergodic Theory Dynamical Systems of Probabilistic Origin: Gaussian and Poisson Systems Ergodic Theory: Non-singular Transformations Sarnak’s Conjecture from the Ergodic Theory Point of View Smooth Ergodic Theory Ergodic and spectral theory of area-preserving flows on surfaces Pressure and Equilibrium States in Ergodic Theory Parallels Between Topological Dynamics and Ergodic Theory Symbolic Dynamics Operator ergodic theory Dynamical Systems and C-algebras The complexity and the structure and classification of Dynamical Systems Ergodic Theory: Interactions with Combinatorics and Number Theory Ergodic Theory on Homogeneous Spaces and Metric Number Theory Ergodic Theory: Rigidity Chaos and Ergodic Theory Ergodic Theory: Fractal Geometry
£224.99
