Statistical physics Books
Springer Cellular Automata and Complex Systems 3 Nonlinear Phenomena and Complex Systems
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£999.99
Springer Fully Chaotic Maps and Broken Time Symmetry 4 Nonlinear Phenomena and Complex Systems
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£999.99
Springer Dynamics Models and Kinetic Methods for Nonequilibrium Many Body Systems Proceedings of the NATO Advanced Study Institute Held in Leiden 27 July8 August 1998 NATO Science Series E 371
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£999.99
Springer Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows Fluid Mechanics and Its Applications 60
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£999.99
Springer New Theoretical Approaches to Strongly Correlated Systems Proceedings of the NATO Advanced Study Institute Cambridge 1020 April 1999 NATO Science Series II Mathematics Physics Chemistry 23
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£999.99
Cambridge University Press Multilayer Network Science
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£21.54
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.
£41.32
Cambridge University Press Network Science in Archaeology
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£100.00
Cambridge University Press The Theory and Applications of Instanton Calculations
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£36.38
Cambridge University Press Power Laws in Astrophysics
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£118.75
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
£45.99
Cambridge University Press GaugeGravity Duality Foundations and Applications
Book SynopsisGauge/gravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics. This book is the first textbook on this important topic, enabling graduate students and researchers in particle and condensed matter physics to get acquainted with the subject.Trade Review'An excellent introduction to the gauge/gravity duality and its main applications. A valuable guide both for graduate students and experienced researchers.' Juan Maldacena, Institute for Advanced Study, Princeton, New Jersey'This clear and precise book should be very helpful to any student or researcher that is interested in the gauge/gravity correspondence and its field theory applications.' Ofer Aharony, Weizmann Institute of Science, Rehovot'A well-structured and illustrated introduction … and an in depth and up-to-date discussion of all the essential features of the gauge/gravity correspondence.' Andreas Karch, University of Washington, Seattle'Written by experts in the field, this book is remarkable for its broad survey of one of the most cutting-edge topics in theoretical physics of the past ten years.' Nick Evans, University of SouthamptonTable of ContentsPart I. Prerequisites: 1. Elements of field theory; 2. Elements of gravity; 3. Symmetries in quantum field theory; 4. Introduction to superstring theory; Part II. Gauge/Gravity Duality: 5. AdS/CFT correspondence; 6. Tests of the AdS/CFT correspondence; 7. Integrability and scattering amplitudes; 8. Further examples of AdS/CFT; 9. Holographic renormalisation group flows; 10. Duality with D-branes in supergravity; 11. Finite temperature and density; Part III. Applications: 12. Linear response and hydrodynamics; 13. QCD and holography: confinement and chiral symmetry breaking; 14. QCD and holography: finite temperature and density; 15. Strongly coupled condensed matter systems; Appendixes; References; Index.
£64.99
Cambridge University Press Spectral Analysis for Univariate Time Series
Book SynopsisSpectral analysis is widely used to interpret time series collected in diverse areas. This book covers the statistical theory behind spectral analysis and provides data analysts with the tools needed to transition theory into practice. Actual time series from oceanography, metrology, atmospheric science and other areas are used in running examples throughout, to allow clear comparison of how the various methods address questions of interest. All major nonparametric and parametric spectral analysis techniques are discussed, with emphasis on the multitaper method, both in its original formulation involving Slepian tapers and in a popular alternative using sinusoidal tapers. The authors take a unified approach to quantifying the bandwidth of different nonparametric spectral estimates. An extensive set of exercises allows readers to test their understanding of theory and practical analysis. The time series used as examples and R language code for recreating the analyses of the series are aTrade Review'Percival and Walden have written an excellent text for anyone who analyzes or wants to learn how to analyze time series data in the frequency domain. The aims and scope of the text are broad and require the skills that one would acquire in a basic course on mathematical statistics. The authors take a data analysis approach and relegate theoretical material to special sections or problems, and give ample references to the more theoretical details. The authors give philosophical as well as practical guidance in applying spectral techniques to time series data. This book is one of the best texts on the topic and would be useful as a reference for researchers. In addition, the book would be great as a textbook for a one semester/quarter course on the spectral analysis of time series.' David Stoffer, University of Pittsburgh'I used Spectral Analysis for Physical Applications several times for my spectral analysis courses. It was an excellent addition to the literature. This new book, considerably enlarged, will certainly have the same impact. The authors should be congratulated for a most valuable book.' Pedro A. Morettin, Universidade de São Paulo'Spectral Analysis for Univariate Time Series is an excellent step-by-step introduction to using Fourier methods in the statistical analysis of time series. The in-depth material, extensive exercises, practical advice, and illustrative data analyses provide valuable insights to readers of varied backgrounds.' Peter F. Craigmile, Ohio State University'This book will serve scientists and engineers in many fields with a general toolbox for spectral analysis. The fundamentals of non-parametric and parametric methods are presented, together with convincing examples and exercises. I especially appreciate the extensive chapter on combining direct spectral estimators, as todays standard toolbox definitely should include multitaper based spectral analysis.' Maria Sandsten, Lunds universitet'The book constitutes a lot more than an update of the authors' 1993 book Spectral Analysis for Physical Applications. The stand-out features are still the examples and exercises, but all data analysis has been done in R and considerable effort has gone into explanation, and how the methods fit in with alternatives. There is also a new chapter on simulation. The book is suitable not just as a reference for statisticians, engineers and physicists, but also as a graduate level text, particularly because of the chapter summaries and the thought-provoking comments at the section ends.' Barry Quinn, Macquarie University, Sydney'The excellent new textbook by Percival and Walden is an important source of information for anyone interested in time series analysis. Theoretical rigour combined with practical analysis of interesting real world data gives the reader a pedagogical journey into the world of spectral analysis and time series analysis. Highly recommended!' Alfred Hanssen, Universitetet i Tromsø – Norges arktiske universitetTable of Contents1. Introduction to spectral analysis; 2. Stationary stochastic processes; 3. Deterministic spectral analysis; 4. Foundations for stochastic spectral analysis; 5. Linear time-invariant filters; 6. Periodogram and other direct spectral estimators; 7. Lag window estimators; 8. Combining direct spectral estimators; 9. Parametric spectral estimators; 10. Harmonic analysis; 11. Simulation of time series.
£87.99
Cambridge University Press Quantum Field Theory for Economics and Finance
Book SynopsisThis book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance. Providing a range of quantum mathematical techniques for designing financial instruments, it demonstrates how a range of topics have quantum mechanical formulations, from asset pricing to interest rates.Trade Review'This book could be just the volume for someone wanting to make the transition from calculating matrix elements to designing financial instruments, from spinors to swaps or from operators to options … The book's structure interleaves traditional lessons in quantum field theory with topics in econophysics, producing a rather novel result.' Stephen J. Blundell, Contemporary PhysicsTable of ContentsForeword; Preface; Acknowledgements; 1. Synopsis; Part I. Introduction: 2. Quantum mechanics; 3. Classical field theory; 4. Acceleration action; 5. Option theory; 6. Path integral of asset prices; Part II. Linear Quantum Fields: 7. Scalar quantum field; 8. Dirac spinor field; 9. Photon gauge field; 10. Forward interest rates' quantum field; 11. Risky interest rates' quantum fields; 12. Bonds: index-linked stochastic coupons; Part III. Nonlinear Quantum Fields: 13. Operator expectation and S matrix; 14. Nonlinear scalar field: Feynman diagrams; 15. Renormalization; 16. β-function; fixed points; 17. Renormalization group and phase transitions; 18. Effective action; 19. Nonlinear interest rates' quantum field; 20. Simulation of nonlinear interest rates; 21. Interest rates range accrual swap; Part IV. 2D Quantum Fields: 22. Two dimensional quantum electrodynamics; 23. Bosonic string theory; 24. Futures asset prices; 25. Epilogue; References; Index.
£170.00
Cambridge University Press Uncovering Quantum Field Theory and the Standard
Book Synopsis
£59.99
Cambridge University Press A Physicists Introduction to Algebraic Structures
Book SynopsisCatering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra and measure angle.Table of ContentsPreface; Part I. General Introduction: 1. Rules of logic; 2. Sets and functions; 3. Algebraic structures; Part II. Vector Spaces: 4. Basics; 5. Operators on vector spaces; 6. Infinite dimensional vector spaces; Part III. Group Theory: 7. General properties of groups; 8. Finite groups; 9. Representation of finite groups; 10. Symmetries of regular geometrical objects; 11. Countably infinite groups; 12. General properties of Lie groups; 13. Rotations and translations; 14. Unitary groups and their representations; 15. Orthogonal groups and their representations; 16. Parameter space of Lie groups; 17. Representations of the Lorentz group; 18. Roots and weights; 19. Some other groups and algebras; Part IV. Topology: 20. Continuity of functions; 21. Topological spaces; 22. Homotopy theory; 23. Homology; Appendices; References; Index.
£69.99
Cambridge University Press Nonequilibrium Statistical Physics
Book SynopsisStatistical mechanics is hugely successful when applied to physical systems at thermodynamic equilibrium; however, most natural phenomena occur in nonequilibrium conditions and more sophisticated techniques are required to address this increased complexity. This second edition presents a comprehensive overview of nonequilibrium statistical physics, covering essential topics such as Langevin equations, Lévy processes, fluctuation relations, transport theory, directed percolation, kinetic roughening, and pattern formation. The first part of the book introduces the underlying theory of nonequilibrium physics, the second part develops key aspects of nonequilibrium phase transitions, and the final part covers modern applications. A pedagogical approach has been adopted for the benefit of graduate students and instructors, with clear language and detailed figures used to explain the relevant models and experimental results. With the inclusion of original material and organizational changes throughout the book, this updated edition will be an essential guide for graduate students and researchers in nonequilibrium thermodynamics.
£59.99
Cambridge University Press The Principles of Deep Learning Theory
Book SynopsisThis textbook establishes a theoretical framework for understanding deep learning models of practical relevance. With an approach that borrows from theoretical physics, Roberts and Yaida provide clear and pedagogical explanations of how realistic deep neural networks actually work. To make results from the theoretical forefront accessible, the authors eschew the subject''s traditional emphasis on intimidating formality without sacrificing accuracy. Straightforward and approachable, this volume balances detailed first-principle derivations of novel results with insight and intuition for theorists and practitioners alike. This self-contained textbook is ideal for students and researchers interested in artificial intelligence with minimal prerequisites of linear algebra, calculus, and informal probability theory, and it can easily fill a semester-long course on deep learning theory. For the first time, the exciting practical advances in modern artificial intelligence capabilities can be mTrade Review'In the history of science and technology, the engineering artifact often comes first: the telescope, the steam engine, digital communication. The theory that explains its function and its limitations often appears later: the laws of refraction, thermodynamics, and information theory. With the emergence of deep learning, AI-powered engineering wonders have entered our lives — but our theoretical understanding of the power and limits of deep learning is still partial. This is one of the first books devoted to the theory of deep learning, and lays out the methods and results from recent theoretical approaches in a coherent manner.' Yann LeCun, New York University and Chief AI Scientist at Meta'For a physicist, it is very interesting to see deep learning approached from the point of view of statistical physics. This book provides a fascinating perspective on a topic of increasing importance in the modern world.' Edward Witten, Institute for Advanced Study'This is an important book that contributes big, unexpected new ideas for unraveling the mystery of deep learning's effectiveness, in unusually clear prose. I hope it will be read and debated by experts in all the relevant disciplines.' Scott Aaronson, University of Texas at Austin'It is not an exaggeration to say that the world is being revolutionized by deep learning methods for AI. But why do these deep networks work? This book offers an approach to this problem through the sophisticated tools of statistical physics and the renormalization group. The authors provide an elegant guided tour of these methods, interesting for experts and non-experts alike. They write with clarity and even moments of humor. Their results, many presented here for the first time, are the first steps in what promises to be a rich research program, combining theoretical depth with practical consequences.' William Bialek, Princeton University'This book's physics-trained authors have made a cool discovery, that feature learning depends critically on the ratio of depth to width in the neural net.' Gilbert Strang, Massachusetts Institute of TechnologyTable of ContentsPreface; 0. Initialization; 1. Pretraining; 2. Neural networks; 3. Effective theory of deep linear networks at initialization; 4. RG flow of preactivations; 5. Effective theory of preactivations at initializations; 6. Bayesian learning; 7. Gradient-based learning; 8. RG flow of the neural tangent kernel; 9. Effective theory of the NTK at initialization; 10. Kernel learning; 11. Representation learning; ∞. The end of training; ε. Epilogue; A. Information in deep learning; B. Residual learning; References; Index.
£59.99
Cambridge University Press Stochastic Thermodynamics
Book Synopsis
£54.99
Cambridge University Press The Statistical Physics of Data Assimilation and
Book SynopsisData assimilation is a hugely important mathematical technique, relevant in fields as diverse as geophysics, data science, and neuroscience. This modern book provides an authoritative treatment of the field as it relates to several scientific disciplines, with a particular emphasis on recent developments from machine learning and its role in the optimisation of data assimilation. Underlying theory from statistical physics, such as path integrals and Monte Carlo methods, are developed in the text as a basis for data assimilation, and the author then explores examples from current multidisciplinary research such as the modelling of shallow water systems, ocean dynamics, and neuronal dynamics in the avian brain. The theory of data assimilation and machine learning is introduced in an accessible and unified manner, and the book is suitable for undergraduate and graduate students from science and engineering without specialized experience of statistical physics.Table of Contents1. Prologue: linking 'The Future' with the present; 2. A data assimilation reminder; 3. Remembrance of things path; 4. SDA variational principles; Euler–Lagrange equations and Hamiltonian formulation; 5. Using waveform information; 6. Annealing in the model precision Rf; 7. Discrete time integration in data assimilation variational principles; Lagrangian and Hamiltonian formulations; 8. Monte Carlo methods; 9. Machine learning and its equivalence to statistical data assimilation; 10. Two examples of the practical use of data assimilation; 11. Unfinished business; Bibliography; Index.
£57.99
Springer Nature Switzerland AG Monte Carlo Simulation in Statistical Physics: An
Book SynopsisThe sixth edition of this highly successful textbook provides a detailed introduction to Monte Carlo simulation in statistical physics, which deals with the computer simulation of many-body systems in condensed matter physics and related fields of physics and beyond (traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, these powerful simulation methods calculate probability distributions, making it possible to estimate the thermodynamic properties of various systems. The book describes the theoretical background of these methods, enabling newcomers to perform such simulations and to analyse their results. It features a modular structure, with two chapters providing a basic pedagogic introduction plus exercises suitable for university courses; the remaining chapters cover major recent developments in the field.This edition has been updated with two new chapters dealing with recently developed powerful special algorithms and with finite size scaling tools for the study of interfacial phenomena, which are important for nanoscience. Previous editions have been highly praised and widely used by both students and advanced researchers.Trade Review“This will be an appropriate text for advanced graduate students, scientist and researchers who are interested in Monte Carlo methods in statistical mechanics.” (Maria Christina Mariani, zbMATH 1428.82003, 2020)Table of ContentsIntroduction: Purpose and Scope of this Volume, and Some General Comments.- Theoretical Foundations of the Monte Carlo Method and Its Applications in Statistical Physics.- Guide to Practical Work with the Monte Carlo Method.- Some Important Developments of the Monte Carlo Methodology.- Quantum Monte Carlo Simulation: An Introduction.- Monte Carlo Methods for the Sampling of Free Energy Landscapes.- Special Monte Carlo Algorithms.- Finite Size Scaling Tools for the Study of Interfacial Phenomena and Wetting.
£999.99
Springer Nature Switzerland AG Black Hole Information and Thermodynamics
Book SynopsisBased on Prof. Lüst's Masters course at the University of Munich, this book begins with a short introduction to general relativity. It then presents black hole solutions, and discusses Penrose diagrams, black hole thermodynamics and entropy, the Unruh effect, Hawking radiation, the black hole information problem, black holes in supergravity and string theory, the black hole microstate counting in string theory, asymptotic symmetries in general relativity, and a particular quantum model for black holes. The book offers an up-to-date summary of all the pertinent questions in this highly active field of physics, and is ideal reading for graduate students and young researchers.Table of ContentsSpecial relativity.- Riemannian geometry.- Introduction to general relativity.- General relativity.- Einstein's equations.- Black holes.- Kruskal-Szekeres coordinates and geodesics of the Schwarzschild black hole.- Conformal compactifications and Penrose diagrams.- Penrose diagrams of charged & rotating black holes.- Rotating black holes and black hole mechanics.- Black hole mechanics and thermodynamics.- Black hole thermodynamics .- Black holes and entropy.- Hawking and Unruh radiation.- Quantum field theory in curved space-time backgrounds.- Unruh und Hawking effect.- Information loss paradox.- Solitons in String Theory.- Brane solutions.- Dimensional reduction and black holes.- Black holes in string theory from p/D-branes.- Black hole microstate counting.- Asymptotic symmetries in general relativity and black hole hair.- Asymptotic symmetries of 4D space-time geometries.- BMS charges.- The gravitational memory effect.- Current research on BMS-like transformations and charges of black holes.- Quantum hair and quantum black hole vacua.
£999.99
Springer Nature Switzerland AG Naturalness, String Landscape and Multiverse: A
Book SynopsisThis book presents a string-theoretic approach to new ideas in particle physics, also known as Physics Beyond the Standard Model, and to cosmology. The concept of Naturalness and its apparent violation by the low electroweak scale and the small cosmological constant is emphasized. It is shown that string theory, through its multitude of solutions, known as the landscape, offers a partial resolution to these naturalness problems as well as suggesting more speculative possibilities like that of a multiverse. The book is based on a one-semester course, as such, it has a pedagogical approach, is self-contained and includes many exercises with solutions. Notably, the basics of string theory are introduced as part of the lectures. These notes are aimed at graduate students with a solid background in quantum field theory, as well as at young researchers from theoretical particle physics to mathematical physics. This text also benefits students who are in the process of studying string theory at a deeper level. In this case, the volume serves as additional reading beyond a formal string theory course.Table of ContentsReminder of SM, EFTs and a naive view of the hierarchy and cosmological constant problems.- Basics of SUSY and SUGRA.- A crash course on strings and how to derive the 10d supergravity action for Type IIB.- Kaluza-Klein compactifications.- Calabi-Yau compactifications.- Flux-landscape in a toy-model.- Flux-landscape in Calabi-Yaus.- Moduli-stabilization and uplift.- Landscape-statistics.- Eternal inflation.- The Measure Problem.
£999.99
Springer Nature Switzerland AG String Field Theory: A Modern Introduction
Book SynopsisThis textbook provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory. The main focus of the book is the construction of the closed bosonic SFT. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, the reader is able to study the applications from the literature. The book is organized in two parts. The first part reviews the notions of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, the author outlines the proofs of several important properties such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed.Trade Review“The book under review offers a comprehensive self-contained description of string field theory (SFT) and the tools necessary to build it. … For each chapter the author has collected the most relevant references. This, together with various examples, figures, remarks and, especially, a suitable amount of details, has produced a compulsively readable textbook quite useful for students and newcomers. … The last version of the draft of the book can be accessed on the author's professional web page.” (Farhang Loran, Mathematical Reviews, April, 2022)Table of ContentsIntroduction.- Worldsheet path integral: vacuum amplitudes.- Worldsheet path integral: scattering amplitudes.- Worldsheet path integral: complex coordinates.- Conformal field theory in D dimensions.- Conformal field theory on the plane.- CFT systems.- BRST quantization.- String field.- Free BRST string field theory.- Introduction to off-shell string theory.- Geometry of moduli spaces and Riemann surfaces.- Off-shell amplitudes.-Amplitude factorization and Feynman diagrams.- Closed string field theory.- Background independence.- Superstring.- Momentum-space SFT.
£999.99
Springer Nature Switzerland AG Feedback Economics: Economic Modeling with System Dynamics
Book SynopsisThis book approaches economic problems from a systems thinking and feedback perspective. By introducing system dynamics methods (including qualitative and quantitative techniques) and computer simulation models, the respective contributions apply feedback analysis and dynamic simulation modeling to important local, national, and global economics issues and concerns. Topics covered include: an introduction to macro modeling using a system dynamics framework; a system dynamics translation of the Phillips machine; a re-examination of classical economic theories from a feedback perspective; analyses of important social, ecological, and resource issues; the development of a biophysical economics module for global modelling; contributions to monetary and financial economics; analyses of macroeconomic growth, income distribution and alternative theories of well-being; and a re-examination of scenario macro modeling.The contributions also examine the philosophical differences between the economics and system dynamics communities in an effort to bridge existing gaps and compare methods. Many models and other supporting information are provided as online supplementary files. Consequently, the book appeals to students and scholars in economics, as well as to practitioners and policy analysts interested in using systems thinking and system dynamics modeling to understand and improve economic systems around the world."Clearly, there is much space for more collaboration between the advocates of post-Keynesian economics and system dynamics! More generally, I would like to recommend this book to all scholars and practitioners interested in exploring the interface and synergies between economics, system dynamics, and feedback thinking." Comments in the Foreword by Marc Lavoie, Emeritus Professor, University of Ottawa and University of Sorbonne Paris NordTrade Review“This volume is a phenomenal achievement. It offers something to both the neophyte and the experienced SD researcher … . Weighing in at almost 600 pages, it is a wealth of information, and the bibliographies are extensive. The fact that the illustrations are full color is a tremendous help. If we are to make SD more widely acceptable, this is the sort of effort that is necessary. I hope it is widely read. I highly recommend this volume.” (John T. Harvey, System Dynamics Review, Vol. 37 (4), 2021)Table of ContentsChapter 1. Introduction to Feedback Economics.- Part I: Macroeconomics.- Chapter 2. Get Started with Macro Modeling.- Chapter 3. Equilibrium, Instability, Growth and Feedback in Economics.- Chapter 4. Accounting System Dynamics Modeling of Money Stock as Debts: Theory and Case Analysis of Japan.- Chapter 5. A System Dynamics Translation of the Phillips Machine.- Part II: Microeconomics.- Chapter 6. Economic Origins of the Sicilian Mafia: A Simulation Feedback Model.- Chapter 7. Comparison of System Dynamics Calibration and Econometric Estimation.- Chapter 8. Modeling the “Paradox of Redistribution”.- Part III: Resource Economics.- Chapter 9. Limits to Growth Concepts in Classical Economics.- Chapter 10. Development of a Biophysical Economics Module for the Global Integrated Assessment Model WORLD7.- Chapter 11. System Dynamics Modelling of Ecological-Economic Systems.- Chapter 12. Blessing or Burden? Another Look at the National Resource Curse.- Part IV: Policy Analysis.- Chapter 13. Policy Responses to Sovereign Debt Induced Banking Crises: A Model-Based Evaluation of Alternatives.- Chapter 14. Use of System Dynamics for Macro-Financial Scenario Assessment: Debt and Currency Crises in Russia.- Chapter 15. Economic Impact Assessment of Raw Material Efficiency.- Chapter 16. Insights on Profit Sharing and Jobs Creation in Bi-dimensional Goodwinian Models.- Part V: Variations and Reflections.- Chapter 17. Behavioral Expectation Formation and the Knife Edge: Another Look at Harrod.- Chapter 18. Burying Samuelson’s Multiplier-Accelerator and resurrecting Goodwin’s Growth Cycle in Minsky.- Chapter 19. Extending the Boundaries of Feedback Economics to Well-Being: An Interlinked Thinking Approach.- Chapter 20: A System Dynamics Scenario Model of the New Zealand Economy: Review and Reflections after 25 Years
£161.93
Springer Nature Switzerland AG Spatial Networks: A Complete Introduction: From
Book SynopsisThis book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks.The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology.This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.Trade Review“This book, written by a statistical physicist, has the style of a survey rather than a mathematics textbook. It outlines numerous results (around 500 papers are cited) via descriptions of statistics and models and back-of-envelope calculations and simulation results together with real-world data examples. It is fairly technically undemanding, meaning mostly accessible to an advanced undergraduate mathematics student. … This book succeeds admirably in its stated ‘complete Introduction’ goal … .” (David J. Aldous, Mathematical Reviews, October, 2022)Table of Contents0. IntroductionI. Characterization 1. Planar graphs 2. Simple measures 3. Betweenness centrality 4. Simplicity and Entropy 5. The shape of shortest paths 6. Spatial dominance 7. Typology of spatial networks 8. Time evolution of spatial networksII. Models 1. Spatial random graphs 2. Tesselations of the plane 3. Random geometric graphs 4. beta-skeletons 5. Loops and branches 6. Optimal networks 7. Growing networks 8. Greedy models 9. Transitions in spatial networks 10. Multilayer networksIII. Discussion and perspectives
£999.99
Springer Statistical Mechanics
Book SynopsisThermodynamical Formalism.- Equilibrium Ensembles.- NonInteracting Quantum Systems.- Phase Transitions and Lattice Systems.- Approximate Methods and Landau Theory.- Linear Response Theory Brownian Motion.- Frustrated and Quenched Systems.
£999.99
Springer Navigating Molecular Networks
Book SynopsisMolecular Networks.- Transformations of Chemical Space.- Spectral Graph Theory.- Universality and Random Matrix Theory.- Mapping and Navigating Chemical Space Networks.- Generative AI Growing the Network.- Discovery and Creativity.
£999.99
De Gruyter Markov Processes, Semigroups and Generators
Book SynopsisMarkov processes represent a universal model for a large variety of real life random evolutions. The wide flow of new ideas, tools, methods and applications constantly pours into the ever-growing stream of research on Markov processes that rapidly spreads over new fields of natural and social sciences, creating new streamlined logical paths to its turbulent boundary. Even if a given process is not Markov, it can be often inserted into a larger Markov one (Markovianization procedure) by including the key historic parameters into the state space. This monograph gives a concise, but systematic and self-contained, exposition of the essentials of Markov processes, together with recent achievements, working from the "physical picture" - a formal pre-generator, and stressing the interplay between probabilistic (stochastic differential equations) and analytic (semigroups) tools. The book will be useful to students and researchers. Part I can be used for a one-semester course on Brownian motion, Lévy and Markov processes, or on probabilistic methods for PDE. Part II mainly contains the author's research on Markov processes. From the contents: Tools from Probability and Analysis Brownian motion Markov processes and martingales SDE, ψDE and martingale problems Processes in Euclidean spaces Processes in domains with a boundary Heat kernels for stable-like processes Continuous-time random walks and fractional dynamics Complex chains and Feynman integralTable of ContentsPart I Brownian Motion, Markov Processes, Martingales. 1 Preliminaries in Probability and Analysis. 2 Browninan Motion I: Constructions. 3 Martingales and Markov Processes. 4 Browninan Motion II: Elements of Analysis. Part II Basic Constructions of Markov Semigroups. 1 Analytic Constructions. 2 Probabilistic Constructions. 3 Heat Kernel Estimates. 4 Process in Cones and Bounded Domains. Part III Extensions, Developments, Applications. 1 CTRW and Fractional Dynamics. 2 Complex Markov Chains and Feynman integral. 3 Controlled Processes. 4 Semiclassical Asymptotic. 5 Miscellany. 6 Bibliographical Comments.
£144.40
De Gruyter Gibbs Measures and Phase Transitions
Book SynopsisFrom a review of the first edition: "This book […] covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics. […] It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert." (F. Papangelou, Zentralblatt MATH) The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area.Trade Review"This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians."Fredos Papangelou, Zentralblatt MATHTable of ContentsFrontmatter -- Preface -- Contents -- Introduction -- Part I. General theory and basic examples -- Chapter 1 Specifications of random fields -- Chapter 2 Gibbsian specifications -- Chapter 3 Finite state Markov chains as Gibbs measures -- Chapter 4 The existence problem -- Chapter 5 Specifications with symmetries -- Chapter 6 Three examples of symmetry breaking -- Chapter 7 Extreme Gibbs measures -- Chapter 8 Uniqueness -- Chapter 9 Absence of symmetry breaking. Non-existence -- Part II. Markov chains and Gauss fields as Gibbs measures -- Chapter 10 Markov fields on the integers I -- Chapter 11 Markov fields on the integers II -- Chapter 12 Markov fields on trees -- Chapter 13 Gaussian fields -- Part III. Shift-invariant Gibbs measures -- Chapter 14 Ergodicity -- Chapter 15 The specific free energy and its minimization -- Chapter 16 Convex geometry and the phase diagram -- Part IV. Phase transitions in reflection positive models -- Chapter 17 Reflection positivity -- Chapter 18 Low energy oceans and discrete symmetry breaking -- Chapter 19 Phase transitions without symmetry breaking -- Chapter 20 Continuous symmetry breaking in N-vector models -- Bibliographical Notes -- Further Progress -- References -- References to the Second Edition -- List of Symbols -- Index
£164.82
World Scientific Publishing Company Pbits And Qbits Probabilistic And Quantum
Book Synopsis
£52.25
World Scientific Publishing Co Pte Ltd Equilibrium Statistical Physics (3rd Edition)
Book SynopsisThis third edition of one of the most important and best selling textbooks in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.The discussion of strongly interacting condensed matter systems has been expanded. A chapter on stochastic processes has also been added with emphasis on applications of the Fokker-Planck equation.The modern theory of phase transitions occupies a central place. The chapter devoted to the renormalization group approach is largely rewritten and includes a detailed discussion of the basic concepts and examples of both exact and approximate calculations. The development of the basic tools includes a chapter on computer simulations in which both Monte Carlo method and molecular dynamics are introduced, and a section on Brownian dynamics added.The theories are applied to a number of important systems such as liquids, liquid crystals, polymers, membranes, Bose condensation, superfluidity and superconductivity. There is also an extensive treatment of interacting Fermi and Bose systems, percolation theory and disordered systems in general.Trade Review"... an intriguing, fresh approach to modern statistical mechanics ... choice of problems is superb." - Physics TodayTable of ContentsReview of Thermodynamics; Statistical Ensembles; Mean Field and Landau Theory; Dense Gases and Liquids; Critical Phenomena I; Critical Phenomena II: The Renormalization Group; Simulations; Polymers and Membranes; Quantum Fluids; Linear Response Theory; Disordered Materials.
£57.95
World Scientific Publishing Co Pte Ltd Introduction To The Theory Of Critical Phenomena:
Book SynopsisThis book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.Table of ContentsClassical Theories of Phase Transitions:Basic Thermodynamics and Statistical Physics;Thermodynamic Approach to Phase Transitions;Landau Theory;Weiss Theory and Mean-Field Approximation;Phase Diagrams;Types of Phase Transitions and Critical Phenomena (Multicritical Points in Complex Systems);; Modern Theories:Scaling;Universality;Length-Scale Invariance and Renormalization Group Methods;Applications to Various Condensed Matter Systems (Vapor-Liquid-Solid, Magnets, Superconductors, Bose-Einstein Condensation);Anisotropy;Disorder and Quantum Effects;Quantum Critical Phenomena;Advanced Topics and Outstanding Problems;and other papers.;;
£65.55
New Academic Science Ltd Thermal and Statistical Physics
Book Synopsis
£33.25
Springer International Publishing AG Thermal and Statistical Physics: Concepts and
Book SynopsisThis textbook presents the fundamental concepts and theories in thermal physics and elementary statistical mechanics in a very simple, systematic and comprehensive way. This book is written in a way that it presents the topics in a holistic manner with end-of-chapter exercises and examples where concepts are supported by numerous solved examples and multiple-choice questions to aid self-learning. The textbook also contains illustrated diagrams for better understanding of the concepts. The book will benefit students who are taking introductory courses in thermal physics, thermodynamics and statistical mechanics.Table of ContentsIntroduction.- The Laws of Thermodynamics.- Second Law of Thermodynamics.- Entropy.- Thermodynamic Potentials and Maxwell Relations.- Kinetic Theory of Gases.- Real Gases.- Applications to Some Irreversible Changes, Cooling of Real Gases.- Theory of Radiation.- Elementary Statistical Mechanics.
£42.74
Springer Fachmedien Wiesbaden Grundkurs Theoretische Physik 6: Statistische
Book SynopsisDer Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.Table of ContentsKlassische statistische Physik.- Quantenstatistik.- Quantengase.- Phasenübergänge.- Lösungen der Übungsaufgaben.
£47.49
Springer Verlag, Japan Experimental Techniques in Modern High-Energy
Book SynopsisThis open access book offers a concise overview of how data from large scale experiments are analyzed and how technological tools are used in practice, as in the search for new elementary particles. It focuses on interconnects between physics and detector technology in experimental particle physics, and includes descriptions of mathematical approaches. Readers find all the important steps in analysis, including reconstruction of the momentum and energy of particles from detector information, particle identification, and also the general concept of simulating particle production from collisions and detector responses. As the scale of scientific experiments becomes larger and data-intensive science emerges, the techniques used in the data analysis become ever more complicated, making it difficult for beginners to grasp the overall picture. The book provides an explanation of the idea and concepts behind the methods, helping readers understand journal articles on high energy physics. This book is engaging as it does not overemphasize mathematical formalism and it gives a lively example of how such methods have been applied to the Higgs particle discovery in the Large Hadron Collider (LHC) experiments, which led to Englert and Higgs being awarded the Nobel Prize in Physics for 2013.Graduate students and young researchers can easily obtain the required knowledge on how to start data analyses from these notes, without having to spend time in consulting many experts or digesting huge amounts of literature.Table of ContentsIntroduction.- Basic Idea of Measurements in Particle Collisions.- Apparatus.- Statistics.- Detector Calibration.- Particle Identification.- Event Simulation.- Examples of Physics Analysis.
£47.92
World Scientific Publishing Co Pte Ltd Noisy Pendulum, The
Book SynopsisThis book contains the general description of the mathematical pendulum subject to constant torque, periodic and random forces. The latter appear in additive and multiplicative form with their possible correlation. For the underdamped pendulum driven by periodic forces, a new phenomenon — deterministic chaos — comes into play, and the common action of this chaos and the influence of noise are taken into account. The inverted position of the pendulum can be stabilized either by periodic or random oscillations of the suspension axis or by inserting a spring into a rigid rod, or by their combination. The pendulum is one of the simplest nonlinear models, which has many applications in physics, chemistry, biology, medicine, communications, economics and sociology. A wide group of researchers working in these fields, along with students and teachers, will benefit from this book.Table of ContentsFormulation of the Problem; Deterministic Motion; Underdamped Pendulum; Deterministic Chaos; Inverted Pendulum.
£61.75
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
£85.37
World Scientific Publishing Co Pte Ltd Statistical Physics Of Crystals And Liquids: A
Book SynopsisThis important book presents a unified formulation from first principles of the Hamiltonian and statistical mechanics of metallic and insulating crystals, amorphous solids, and liquids. Extensive comparison of theory and experiment provides an accurate understanding of the statistical properties of phonons, electrons, and phonon-phonon and electron-phonon interactions in elemental crystals and liquids. Questions are posed along the following lines: What is the “best” theory for a given property? How accurate is a good theory? What information is gained by a comparison of theory and experiment? How accurate is a good experiment?Table of ContentsCondensed Matter Hamiltonian; Statistical Mechanics; Lattice Dynamics; Statistical Mechanics of Crystals; Liquid Dynamics and Statistical Mechanics; Phase Transitions and Nonequilibrium Processes.
£45.60
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
£98.10
Taylor & Francis Inc College Physics Essentials Eighth Edition
Book Synopsis
£230.00
MP-AMM American Mathematical Thermodynamic Formalism and Holomorphic Dynamical
Book SynopsisThe laws of thermodynamics happen to be an extremely powerful tool for understanding the objects of holomorphic dynamical systems. This book develops a 'thermodynamic formalism', bringing together notions that are a priori unrelated. It describes this formalism both from the physical and mathematical point of view.Table of ContentsIntroduction The ergodic hypothesis The concept of entropy Entropy in ergodic theory The Perron-Frobenius-Ruelle theorem Conformal repellers Iteration of quadratic polynomials Phase transitions Hausdorff measures and dimension Bibliography.
£22.75
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
Nova Science Publishers Inc Progress in Statistical Mechanics Research
Book SynopsisStatistical mechanics is the application of probability theory, which includes mathematical tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force. It provides a framework for relating the microscopic properties of individual atoms and molecules to the macroscopic or bulk properties of materials that can be observed in everyday life, therefore explaining thermodynamics as a natural result of statistics and mechanics (classical and quantum) at the microscopic level. In particular, it can be used to calculate the thermodynamic properties of bulk materials from the spectroscopic data of individual molecules. This ability to make macroscopic predictions based on microscopic properties is the main asset of statistical mechanics over thermodynamics. Both theories are governed by the second law of thermodynamics through the medium of entropy.
£159.99
Nova Science Publishers Inc Statistical Mechanics & Random Walks: Principles,
Book Synopsis
£297.59
Springer Nature Switzerland AG Nonlinear Dynamics: A Concise Introduction
Book SynopsisThis concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.Table of ContentsPart I Introduction.- Dynamical Systems.- Non-Chaotic Continuous Dynamics.- Part II Methods.- Defining and Measuring Chaos.- Bifurcations and Routes to Chaos.- Entropy and Dimension.- Delay Coordinates.- Information Across Timeseries.- Part III Applications.- Billiards, Conservative Systems and Ergodicity.- Forced Oscillators and Synchronisation.- Networds, Agent-Based Models and Epidemics.- Extended Systems and Spatiotemporal Chaos.- Nonlinear Dynamics of Climate & Climate Change.
£31.86
Springer Percolation Theory Using Python
Book SynopsisIntroduction to Percolation.- One-dimensional Percolation.- Infinite-dimensional Percolation.- Finite-dimensional Percolation.- Geometry of Clusters.- Finite Size Scaling.- Renormalization.- Subset Geometry.- Flow in Disordered Media.- Elastic Properties of Disordered Media.- Diffusion in Disordered Media.- Dynamic Processes in Disordered Media.- References.- Index.
£33.24
