Statistical physics Books
Springer Fachmedien Wiesbaden Teubner-Taschenbuch der statistischen Physik
Book SynopsisAus moderner Sicht werden in diesem Teubner-Taschenbuch die Grundlagen und wichtige Anwendungen der statistischen Physik dargestellt. Auf eine gründliche Darstellung der Begriffsbildungen der statistischen Physik, auf die korrekte Herleitung grundlegender Gleichungen und auf die Durchführung wichtiger Beweise wird besonderer Wert gelegt. Das Buch eignet sich als Begleittext für Kurs- und Spezialvorlesungen, als Repetitorium zur Prüfungsvorbereitung und als Nachschlagewerk zur raschen Information für breite Leserkreise aus Mathematik, Naturwissenschaften und technischen Disziplinen, insbesondere für Studenten dieser Fachrichtungen.Table of ContentsKombinatorik - Wahrscheinlichkeitstheorie - Quantenmechanik und Wahrscheinlichkeit - Thermodynamik - Statistische Physik der Gleichgewichtssysteme - Statistische Physik der Systeme im Nichtgleichgewicht - Statistische Physik und Informationstheorie - Phasenraummethoden der Quantenstatistik - Fraktaltheorie und Perkolationstheorie - Theorie dynamischer Systeme, Chaostheorie, Ergodentheorie - Statistische Thermodynamik chemischer Systeme - Statistische Theorie biologischer Systeme - Synergetik, weitere Anwendungen der statistischen Physik
£49.49
Wiley-VCH Verlag GmbH A Modern Course in Statistical Physics
Book SynopsisA Modern Course in Statistical Physics is a textbook that illustrates the foundations of equilibrium and non-equilibrium statistical physics, and the universal nature of thermodynamic processes, from the point of view of contemporary research problems. The book treats such diverse topics as the microscopic theory of critical phenomena, superfluid dynamics, quantum conductance, light scattering, transport processes, and dissipative structures, all in the framework of the foundations of statistical physics and thermodynamics. It shows the quantum origins of problems in classical statistical physics. One focus of the book is fluctuations that occur due to the discrete nature of matter, a topic of growing importance for nanometer scale physics and biophysics. Another focus concerns classical and quantum phase transitions, in both monatomic and mixed particle systems. This fourth edition extends the range of topics considered to include, for example, entropic forces, electrochemical processes in biological systems and batteries, adsorption processes in biological systems, diamagnetism, the theory of Bose-Einstein condensation, memory effects in Brownian motion, the hydrodynamics of binary mixtures. A set of exercises and problems is to be found at the end of each chapter and, in addition, solutions to a subset of the problems is provided. The appendices cover Exact Differentials, Ergodicity, Number Representation, Scattering Theory, and also a short course on Probability.Trade Review"This fourth edition extends the range of topics considered to include, for example, entropic forces, electrochemical processes in biological systems and batteries, adsorption processes in biological systems, diamagnetism, the theory of Bose-Einstein condensation, memory effects in Brownian motion, the hydronamics of binary mixtures." (Zentralblatt MATH 1334 2016)Table of ContentsPreface to the Fourth Edition XIII 1 Introduction 1 2 Complexity and Entropy 5 2.1 Introduction 5 2.2 Counting Microscopic States 5 2.3 Probability 9 2.4 Multiplicity and Entropy of Macroscopic Physical States 11 2.5 Multiplicity and Entropy of a Spin System 12 2.6 Entropic Tension in a Polymer 16 2.7 Multiplicity and Entropy of an Einstein Solid 18 2.8 Multiplicity and Entropy of an Ideal Gas 20 2.9 Problems 23 3 Thermodynamics 27 3.1 Introduction 27 3.2 Energy Conservation 29 3.3 Entropy 30 3.4 Fundamental Equation of Thermodynamics 35 3.5 Thermodynamic Potentials 38 3.6 Response Functions 46 3.7 Stability of the Equilibrium State 51 3.8 Cooling and Liquefaction of Gases 61 3.9 Osmotic Pressure in Dilute Solutions 64 3.10 The Thermodynamics of Chemical Reactions 67 3.11 The Thermodynamics of Electrolytes 74 3.12 Problems 78 4 The Thermodynamics of Phase Transitions 87 4.1 Introduction 87 4.2 Coexistence of Phases: Gibbs Phase Rule 88 4.3 Classification of Phase Transitions 89 4.4 Classical Pure PVT Systems 91 4.5 Binary Mixtures 105 4.6 The Helium Liquids 108 4.7 Superconductors 114 4.8 Ginzburg–Landau Theory 116 4.9 Critical Exponents 123 4.10 Problems 130 5 Equilibrium Statistical Mechanics I – Canonical Ensemble 135 5.1 Introduction 135 5.2 Probability Density Operator – Canonical Ensemble 137 5.3 Semiclassical Ideal Gas of Indistinguishable Particles 139 5.4 Interacting Classical Fluids 145 5.5 Heat Capacity of a Debye Solid 149 5.6 Order–Disorder Transitions on Spin Lattices 153 5.7 Scaling 162 5.8 Microscopic Calculation of Critical Exponents 169 5.9 Problems 177 6 Equilibrium Statistical Mechanics II – Grand Canonical Ensemble 183 6.1 Introduction 183 6.2 The Grand Canonical Ensemble 184 6.3 Adsorption Isotherms 187 6.4 Virial Expansion for Interacting Classical Fluids 191 6.5 Blackbody Radiation 197 6.6 Ideal Quantum Gases 200 6.7 Ideal Bose–Einstein Gas 202 6.8 Bogoliubov Mean Field Theory 210 6.9 Ideal Fermi–Dirac Gas 214 6.10 Magnetic Susceptibility of an Ideal Fermi Gas 220 6.11 Momentum Condensation in an Interacting Fermi Fluid 224 6.12 Problems 231 7 Brownian Motion and Fluctuation–Dissipation 235 7.1 Introduction 235 7.2 Brownian Motion 236 7.3 The Fokker–Planck Equation 240 7.4 Dynamic Equilibrium Fluctuations 250 7.5 Linear Response Theory and the Fluctuation–Dissipation Theorem 255 7.6 Microscopic Linear Response Theory 264 7.7 Thermal Noise in the Electron Current 272 7.8 Problems 273 8 Hydrodynamics 277 8.1 Introduction 277 8.2 Navier–Stokes Hydrodynamic Equations 278 8.3 Linearized Hydrodynamic Equations 289 8.4 Light Scattering 297 8.5 Friction on a Brownian particle 303 8.6 Brownian Motion with Memory 307 8.7 Hydrodynamics of Binary Mixtures 311 8.8 Thermoelectricity 318 8.9 Superfluid Hydrodynamics 322 8.10 Problems 329 9 Transport Coefficients 333 9.1 Introduction 333 9.2 Elementary Transport Theory 334 9.3 The Boltzmann Equation 341 9.4 Linearized Boltzmann Equations for Mixtures 343 9.5 Coefficient of Self-Diffusion 348 9.6 Coefficients of Viscosity and Thermal Conductivity 351 9.7 Computation of Transport Coefficients 359 9.8 Beyond the Boltzmann Equation 365 9.9 Problems 366 10 Nonequilibrium Phase Transitions 369 10.1 Introduction 369 10.2 Near Equilibrium Stability Criteria 370 10.3 The Chemically Reacting Systems 372 10.4 The Rayleigh–Bénard Instability 378 10.5 Problems 385 Appendix A Probability and Stochastic Processes 387 A.1 Probability 387 A.2 Stochastic Processes 402 A.3 Problems 415 Appendix B Exact Differentials 417 Appendix C Ergodicity 421 Appendix D Number Representation 425 D.1 Symmetrized and Antisymmetrized States 425 D.2 The Number Representation 431 Appendix E Scattering Theory 437 E.1 Classical Dynamics of the Scattering Process 437 E.2 The Scattering Cross Section 440 E.3 Quantum Dynamics of Low-Energy Scattering 442 Appendix F Useful Math and Problem Solutions 445 F.1 Useful Mathematics 445 F.2 Solutions for Odd-Numbered Problems 447 References 453 Index 459
£81.00
World Scientific Publishing Co Pte Ltd Lectures On Random Evolution
Book SynopsisRandom evolution denotes a class of stochastic processes which evolve according to a rule which varies in time according to jumps. This is in contrast to diffusion processes, which assume that the rule changes continuously with time. Random evolutions provide a very flexible language, having the advantage that they permit direct numerical simulation-which is not possible for a diffusion process. Furthermore, they allow connections with hyperbolic partial differential equations and the kinetic theory of gases, which is impossible within the domain of diffusion proceses. They also posses great geometric invariance, allowing formulation on an arbitrary Riemannian manifold. In the field of stochastic stability, random evolutions furnish some easily computable models in which to study the Lyapunov exponent and rotation numbers of oscillators under the influence of noise. This monograph presents the various aspects of random evolution in an accessible and interesting format which will appeal to a large scientific audience.Trade Review"The book is nicely written, going from the simplest to the general case, obtaining all the basic results along the way." Henryk Gzyl Mathematical Reviews, 1993
£43.70
World Scientific Publishing Co Pte Ltd Dimension Estimation And Models
Book SynopsisThis volume is the first in the new series Nonlinear Time Series and Chaos. The general aim of the series is to provide a bridge between the two communities by inviting prominent researchers in their respective fields to give a systematic account of their chosen topics, starting at the beginning and ending with the latest state. It is hoped that researchers in both communities will find the topics relevant and thought provoking. In this volume, the first chapter, written by Professor Colleen Cutler, is a comprehensive account of the theory and estimation of fractal dimension, a topic of central importance in dynamical systems, which has recently attracted the attention of the statisticians. As it is natural to study a stochastic dynamical system within the framework of Markov chains, it is therefore relevant to study their limiting behaviour. The second chapter, written by Professor Kung-Sik Chan, reviews some limit theorems of Markov chains and illustrates their relevance to chaos. The next three chapters are concerned with specific models. Briefly, Chapter Three by Professor Peter Lewis and Dr Bonnie Ray and Chapter Four by Professor Peter Brockwell generalise the class of self-exciting threshold autoregressive models in different directions. In Chapter Three, the new and powerful methodology of multivariate adaptive regression splines (MARS) is adapted to time series data. Its versatility is illustrated by reference to the very interesting and complex sea surface temperature data. Chapter Four exploits the greater tractability of continuous-time Markov approach to discrete-time data. The approach is particularly relevant to irregularly sampled data. The concluding chapter, by Professor Pham Dinh Tuan, is likely to be the most definitive account of bilinear models in discrete time to date.Table of ContentsContinuous time threshold models, P. Brockwell; bilinear models, P.D. Tuan; estimation of dimension of attractors, C. Cutler; MARS, P. Lewis.
£85.50
Springer Verlag, Singapore An Introduction to Stochastic Thermodynamics: From Basic to Advanced
Book SynopsisThis book presents the fundamentals of stochastic thermodynamics, one of the most central subjects in non-equilibrium statistical mechanics. It also explores many recent advances, e.g., in information thermodynamics, the thermodynamic uncertainty relation, and the trade-off relation between efficiency and power. The content is divided into three main parts, the first of which introduces readers to fundamental topics in stochastic thermodynamics, e.g., the basics of stochastic processes, the fluctuation theorem and its variants, information thermodynamics, and large deviation theory. In turn, parts two and three explore advanced topics such as autonomous engines (engines not controlled externally) and finite speed engines, while also explaining the key concepts from recent stochastic thermodynamics theory that are involved. To fully benefit from the book, readers only need an undergraduate-level background in statistical mechanics and quantum mechanics; no background in information theory or stochastic processes is needed. Accordingly, the book offers a valuable resource for early graduate or higher-level readers who are unfamiliar with this subject but want to keep up with the cutting-edge research in this field. In addition, the author’s vivid descriptions interspersed throughout the book will help readers grasp ‘living’ research developments and begin their own research in this field.Table of Contents
£98.99
World Scientific Publishing Co Pte Ltd Proceedings Of The Conference In Honor Of C N
Book SynopsisThe Conference on Statistical Physics, High Energy, Condensed Matter and Mathematical Physics was held in honor of Professor Chen-Ning Yang's 85th birthday in Singapore in Oct-Nov 2007. The conference paid tribute to the breadth and depth of Professor Yang's achievements in physics and science education since he received his Nobel Prize in Physics fifty years ago.This notable birthday volume is a collection of the presentations made at the conference by many eminent scientists who had worked closely with him or who have been influenced to some extent by his work.
£175.75
World Scientific Publishing Co Pte Ltd Statistical Mechanics And The Physics Of
Book SynopsisThe book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
£360.00
World Scientific Publishing Co Pte Ltd Statistical Mechanics And The Physics Of
Book SynopsisThe book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
£76.95
Pan Stanford Publishing Pte Ltd Electrostatics of Soft and Disordered Matter
Book SynopsisRecently, there has been a surge of activity to elucidate the behavior of highly charged soft matter and Coulomb fluids in general. Such systems are ubiquitous, especially in biological matter where the length scale and the strength of the interaction between highly charged biomolecules are governed by strong electrostatic effects. Several interesting limits have been discovered in the parameter space of highly charged many-particle Coulomb matter where analytical progress is possible and completely novel and unexpected results have been obtained. One of the challenges in highly charged matter is to correctly describe systems with finite coupling strength in the transition regime between weak and strong couplings. After studying the fluctuations of both, several theories have been developed that describe this experimentally highly relevant regime. At the same time, computer simulation algorithms and computing power have advanced to the level where all-ion simulations, including many-body and polarization effects, are possible; the new theories thus can be subjected to numerical confirmation. Another important question is the effect of the structural disorder on electrostatic interactions. It has recently been demonstrated, both theoretically and experimentally, that charge disorder can impose long-range interaction between charged or even uncharged surfaces. These interactions might become very significant in biological processes. Filling a void in the literature, this volume cross-pollinates different theoretical and simulation approaches with new experiments and ties together the low temperature, high coupling constant, and disorder parameters in a unified description of the electrostatic interactions, which largely determine the stability and conformations of most important biological macromolecules.With striking graphical illustrations, the book presents a unified view of the current advances in the field of Coulomb (bio)colloidal systems, building on previous literature that summarized the field over 20 years ago. Leading scientists in the field offer a detailed introduction to different modern methods in statistical physics of Coulomb systems. They detail various approaches to elucidate the behavior of strongly charged soft matter. They also provide experimental and theoretical descriptions of disorder effects in Coulomb systems, which have not been discussed in any other book. Trade Review"This is a timely and illuminating volume, reviewing the state of the art of Coulombic fluids, and shedding some light on the counter-intuitive phenomena that emerge from Coulombic interactions. The book is in particular interesting because it reviews the fundamental role played by Coulombic interactions when macromolecules are dissolved in an aqueous milieu. An up-to-date introduction of the subject as well as advanced topics that will be welcome by students and researchers alike."Prof. David Andelman, Tel Aviv University, IsraelTable of ContentsSurprising Challenges. Dielectric Profiles and Ion-Specific Effects at Aqueous Interfaces. Coulomb interactions between Disordered Charge Distributions. Coarse-Grained Modeling of Charged Colloidal Suspensions: From Poisson-Boltzmann Theory to Effective Interactions. Dynamic Electric Response of Charged Fibrous Virus (fd) Suspensions: Interactions of Charged Colloidal Rods in AC Electric Fields. Many-Body Interactions in Volloidal Suspensions. Modeling DNA in Nanopores. Aspects of 1D Coulomb Gases. Hydration Repulsion between Polar Surfaces: An Atomistic Simulation Approach. Electrostatics in Electrolytes Expressed in an Exact Formalism Reminiscent of the Poisson-Boltzmann Picture. Interaction between Disordered Heterogeneous Charged Surfaces. Polarizable Surfaces: Weak and Strong Coupling Regimes. A Field Theory Approach for Modeling Electrostatic Interactions in Soft Matter. Legendre Transforms for Electrostatic Energies. Short-Range Disorder and Electrostatic Interactions in Macromolecules. Mean-Field Electrostatics of Still Rod-Like Ions. Extended Poisson–Boltzmann Descriptions of the Electrostatic Double Layer: Implications for Charged Particles at Interfaces. Modeling Electrokinetics through Varying Length and Time Scales. Physics of Counterion Mediated Attractions between Double-Stranded DNAs. Estimation of Solvation Electrostatic Free Energy of Biomolecular Systems by Numerical Solution of the Poisson-Boltzmann Equation. The Electrode-Ionic Liquid Interface: A Molecular Point of View. The Wigner Strong-Coupling Approach. Ionic Liquids and Ionic Liquid+Solvent Mixtures, Studied by Classical Density Functional Theory. Controlling the Fluid-Fluid Mixing-Demixing Phase Transition with Electric Fields. Statistical Thermodynamics of Supercapacitors and Blue Engines. Cluster Phases in Colloids and Proteins. Moderately Coupled Charged Fluids near Dielectric Interfaces and in Confinement.
£109.25
World Scientific Publishing Co Pte Ltd Luttinger Model: The First 50 Years And Some New
Book SynopsisThe Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics.Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.Table of ContentsThe Luttinger Model and Its Solution: An Exactly Soluble Model of a Many-Fermion System (J M Luttinger); Exact Solution of a Many-Fermion System and its Associated Boson Field (Daniel C Mattis and Elliott H Lieb); Lattice, Dynamical and Non Linear Effects: Luttinger Model and Luttinger Liquids (Vieri Mastropietro); The Luttinger Liquid and Integrable Models (J Sirker); Long Time Correlations of Nonlinear Luttinger Liquids Rodrigo (G Pereira); An Expanded Luttinger Model (Daniel C Mattis); Applications and Experimental Tests: Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description (Orion Ciftja); A Luttinger Liquid Core Inside Helium-4 Filled Nanopores (Adrian Del Maestro); Some Experimental Tests of Tomonaga - Luttinger Liquids (T Giamarchi); Bosonization and Its Application to Transport in Quantum Wires (Feifei Li); Generalizations to Higher Dimensions: Fermions in Two Dimensions, Bosonization, and Exactly Solvable Models (Jonas De Woul and Edwin Langmann); Luttinger Liquid, Singular Interaction and Quantum Criticality in Cuprate Materials (C Di Castro and S Caprara); Luttinger Model in Dimensions d > 1 (Daniel C Mattis).
£95.00
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 temperature affects molecular speeds, vibrations of solids, electrical and magnetic behaviors, emission of light, and exotic low-temperature phenomena. The problems and worked examples explore applications not just within physics but also to engineering, chemistry, biology, geology, atmospheric science, astrophysics, cosmology, and everyday life.Trade 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
£999.99
Oxford University Press Machine Learning for Signal Processing
Book SynopsisDescribes in detail the fundamental mathematics and algorithms of machine learning (an example of artificial intelligence) and signal processing, two of the most important and exciting technologies in the modern information economy. Builds up concepts gradually so that the ideas and algorithms can be implemented in practical software applications.Trade ReviewThis book provides an excellent pathway for gaining first-class expertise in machine learning. It provides both the technical background that explains why certain approaches, but not others, are best practice in real world problems, and a framework for how to think about and approach new problems. I highly recommend it for people with a signal processing background who are seeking to become an expert in machine learning. * Alex 'Sandy' Pentland, Toshiba Professor of Media Arts and Sciences, Massachusetts Institute of Technology, *Over the past decade in signal processing, machine learning has gone from a disparate research field known only to people working on topics such as speech and image processing, to permeating all aspects of it. With this book, Prof. Little has taken an important step in unifying machine learning and signal processing. As a whole, this book covers many topics, new and old, that are important in their own right and equips the reader with a broader perspective than traditional signal processing textbooks. In particular, I would highlight the combination of statistical modeling, convex optimization, and graphs as particularly potent. Machine learning and signal processing are no longer separate, and there is no doubt in my mind that this is the way to teach signal processing in the future. * Mads Christensen, Full Professor in Audio Processing, Aalborg University, Denmark, *Table of Contents1: Mathematical Foundations 2: Optimization 3: Random Sampling 4: Statistical Modelling and Inference 5: Probabalistic Graphical Models 6: Statistical Machine Learning 7: Linear-Gaussian Systems and Signal Processing 8: Discrete Signals: Sampling, Quantization and Coding 9: Nonlinear and Non-Gaussian Signal Processing 10: Nonparametric Bayesian Machine Learning and Signal Processing
£999.99
Oxford University Press Lagrangian and Hamiltonian Dynamics
Book SynopsisThe book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The book provides a comprehensive and self-contained treatment of the subject matter up to the forefront of research in multiple areas.Table of ContentsPart I: Newtonian Mechanics 1: Introduction 2: Newton's Three Laws 3: Energy and Work 4: Introductory Rotational Dynamics 5: The Harmonic Oscillator 6: Wave Mechanics & Elements of Mathematical Physics Part II: Langrangian Mechanics 7: Introduction 8: Coordinates & Constraints 9: The Stationary Action Principle 10: Constrained Langrangian Mechanics 11: Point Transformations in Langrangian Mechanics 12: The Jacobi Energy Function 13: Symmetries & Langrangian-Hamiltonian-Jacobi Theory 14: Near-Equilibrium Oscillations 15: Virtual Work & d'Alembert's Principle Part III: Canonical Mechanics 16: Introduction 17: The Hamiltonian & Phase Space 18: Hamiltonian's equations & Routhian Reduction 19: Poisson Brackets & Angular momentum 20: Canonical & Gauge Transformations 21: Hamilton-Jacobi Theory 22: Liouville's Theorem & Classical Statistical Mechanics 23: Constrained Hamiltonian Dynamics 24: Autonomous Geometrical Mehcanics 25: The Structure of Phase Space 26: Near-Integrable Systems Part IV: Classical Field Theory 27: Introduction 28: Langrangian Field Theory 29: Hamiltonian Field Theory 30: Clssical Electromagnetism 31: Neother's Theorem for Fields 32: Classical Path-Integrals Part V: Preliminary Mathematics 33: The (Not so?) Basics 34: Matrices 35: Partial Differentiation 36: Legendre Transformations 37: Vector Calculus 38: Differential equations 39: Calculus of Variations Part VI: Advanced Mathematics 40: Linear Algebra 41: Differential Geometry Part VII: Exam Style Questions Appendix A: Noether's Theorem Explored Appendix B: The Action Principle Explored Appendix C: Useful Relations Appendxi D: Poisson & Nambu Brackets Explored Appendix: Canonical Transformations Explored Appendix F: Action-Angle Variables Explored Appendix G: Statistical Mechanics Explored Appendix H: Biographies
£999.99
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
£999.99
OUP Oxford The Oxford Handbook of Random Matrix Theory
Book SynopsisRandom matrix theory is applied by physicists and mathematicians to understand phenomena in nature and deep mathematical structures. This book offers a comprehensive look at random matrix theory by leading researchers, including applications inside and outside of physics and mathematics.Table of ContentsI INTRODUCTION; II PROPERTIES OF RANDOM MATRIX THEORY; III APPLICATIONS OF RANDOM MATRIX THEORY
£149.62
Oxford University Press Data Science and Complex Networks
Book SynopsisThis book provides a comprehensive yet short description of the basic concepts of Complex Network theory. In contrast to other books the authors present these concepts through real case studies. The application topics span from Foodwebs, to the Internet, the World Wide Web and the Social Networks, passing through the International Trade Web and Financial time series. The final part is devoted to definition and implementation of the most important network models.The text provides information on the structure of the data and on the quality of available datasets. Furthermore it provides a series of codes to allow immediate implementation of what is theoretically described in the book. Readers already used to the concepts introduced in this book can learn the art of coding in Python by using the online material. To this purpose the authors have set up a dedicated web site where readers can download and test the codes. The whole project is aimed as a learning tool for scientists and practitTrade ReviewData science and network science are two of the most dynamically developing areas in modern science. It is fantastic to see these two topics, whose synergy is evident to the practitioner, under one roof, presented with clarity and through numerous practical examples by Caldarelli and Chessa. * Albert-László Barabási, Northeastern University *The authors nicely integrate ideas from data science and complex networks to create a toolkit for tackling big data challenges. An essential read in the information age. * Geoff F. Rodgers, Brunel University London *Table of Contents1: Food Webs 2: International Trade Networks and World Trade Web 3: The Internet Network 4: World Wide Web, Wikipedia and Social Networks 5: Financial Networks 6: Modelling
£55.10
Oxford University Press Computer Simulations of Dislocations 3 Oxford
Book SynopsisThis book presents a broad collection of models and computational methods - from atomistic to continuum - applied to crystal dislocations. Its purpose is to help students and researchers in computational materials sciences to acquire practical knowledge of relevant simulation methods. Because their behavior spans multiple length and time scales, crystal dislocations present a common ground for an in-depth discussion of a variety of computational approaches, including their relative strengths, weaknesses and inter-connections. The details of the covered methods are presented in the form of ''numerical recipes'' and illustrated by case studies. A suite of simulation codes and data files is made available on the book''s website to help the reader ''to learn-by-doing'' through solving the exercise problems offered in the book.Trade ReviewThis book presents a collection of models and computational methods applied to crystal dislocations, to help researchers in materials science gain a practical knowledge of simulation. * Materials World, November 2007 *An outstanding book. * Robert Rudd, Lawrence Livermore National Laboratory *Reads very well, with a very informal but highly informative style. * Adrian P. Sutton, Imperial College London *Table of ContentsPART I: ATOMISTIC MODELS; PART II: CONTINUUM MODELS
£999.99
Oxford University Press Econophysics and Physical Economics
Book SynopsisAn understanding of the behaviour of financial assets and the evolution of economies has never been as important as today. This book looks at these complex systems from the perspective of the physicist. So called ''econophysics'' and its application to finance has made great strides in recent years. Less emphasis has been placed on the broader subject of macroeconomics and many economics students are still taught traditional neo-classical economics. The reader is given a general primer in statistical physics, probability theory, and use of correlation functions. Much of the mathematics that is developed is frequently no longer included in undergraduate physics courses. The statistical physics of Boltzmann and Gibbs is one of the oldest disciplines within physics and it can be argued that it was first applied to ensembles of molecules as opposed to being applied to social agents only by way of historical accident. The authors argue by analogy that the theory can be applied directly to eTrade ReviewWe argue that similarlaws apply to assemblies of interacting economic agents for which repeatable experiments are also not always possible. The theory leads naturally to an understanding of a range of financial and economic phenomena. One central issue, namely that of non-equilibrium, is also discussed by drawing on recent ideas developed to explore the phenomenon in physical systems, which leads to new insights into the distribution functions of the interacting agents. It is our view that this approach, which combines both theory and empiricism, offers scope for further development and application. * John D. Williams, MathSciNet *Table of Contents1. Introduction ; 2. Reading financial data ; 3. Basics of probability ; 4. Time dependent processes and the Chapman-Kolmogorov equation ; 5. The Langevin approach to modelling Brownian motion ; 6. The Brownian motion model of asset prices ; 7. Generalized diffusion processes and the Fokker-Planck equation ; 8. Derivatives and options ; 9. Asset fluctuations and scaling ; 10. Models of asset fluctuations ; 11. Risk ; 12. Why markets crash ; 13. Two non-financial markets ; 14. An introduction to physical economics ; 15. Laws of physical economics ; 16. Markets ; 17. A simple model of trade ; 18. Production and economic growth ; 19. Economics and entropy ; 20. Approaches to non-equilibrium economics ; 21. The distribution of wealth in society ; 22. Conclusions and outlook
£76.95
Pearson Education Introduction to Thermal Physics An
Book Synopsis
£64.67
Taylor & Francis Ltd Thermodynamics of the Glassy State
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£61.99
Taylor & Francis Ltd The Nature of Time
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£35.99
Taylor & Francis Ltd The Nature of Time
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£105.00
Taylor & Francis Ltd Cryogenic Heat Management
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£155.00
Taylor & Francis Ltd Feynman Path Integrals in Quantum Mechanics and Statistical Physics
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Taylor & Francis Ltd Nonequilibrium Statistical Mechanics
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Taylor & Francis Ltd Classical Mechanics
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Taylor & Francis Ltd Mathematical Physics for Nuclear Experiments
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Springer New York Fractals and Chaos The Mandelbrot Set and Beyond Selecta 4
Book SynopsisJust 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure.Trade ReviewFrom the reviews: "It is only twenty-three years since Benoit Mandelbrot published his famous picture of what is now called the Mandelbrot Set. The graphics were state of the art, though now they may seem primitive. But how that picture has changed our views of the mathematical and physical universe! Fractals, a term coined by Mandelbrot, are now so ubiquitous in the scientific conscience that it is difficult to remember the psychological shock of their arrival. What we see in this book is a glimpse of how Mandelbrot helped change our way of looking at the world. It is not just a book about a particular class of problems, but contains a view on how to approach the mathematical and physical universe. This view is certain not to fade, but to be part of the working philosophy of the next mathematical revolution, wherever it may take us. So read the book, look at the beautiful pictures that continue to fascinate and amaze, and enjoy! " --From the foreword by Peter W Jones, Yale University Praise for Mandelbrot, Benoit B, Fractals and Chaos American Scientist "Manderlbrot brings together 25 papers from the past 25 years. Many of them are related in one way or another to the famous inkblot figure to which Mandelbrot’s name is now firmly affixed. Of historical interest are some early images of this fractal object, produced with a crude dot-matrix printer. A few items in the collection have not been previously published, and all are accompanied by feisty commentary." "This is the fourth volume of Mandelbrot’s Selecta, comprising edited reprints of the author’s papers. … One chapter has been written specifically to help the non-expert appreciate the rest of the book. … accessible to a wide readership. It provides a fascinating insight into the author’s journey of seeing and discovering as the early pictures of the Mandelbrot set started to reveal a whole new world. It gives a feeling for his philosophy and approach of experimental mathematics … ." (Kenneth Falconer, NATURE, Vol. 430, July1, 2004) "The well-illustrated book combines hard-to-find early papers by the author with additional chapters that describe the historical background and context. Key topics are quadratic dynamics and its Julia and Mandelbrot sets, nonquadratic dynamics, Kleinian limit sets, and the Minkowski measure." (Zentralblatt für Didaktik der Mathematik, Juli, 2004) "Mandelbrot’s book is a scientific, philosophic and pictorial treatise at the same time and it is one of the rare specimens of serious mathematics books that can be read and re-read at many different levels. … The style is what one would call ‘truly Mandelbrotian’, a mixture of hard science, often with a personal touch … . a book that will be as important for the scientific community … as it will be appealing to a general informed audience." (René L. Schilling, The Mathematical Gazette, March, 2005) "Benoit Mandelbrot has produced a comprehensive, well-presented review of essential topics … . All chapters are assembled in a way that the overall mix becomes a very well integrated source of know-how … . The author made a serious and effective effort to realize a book that contains more than history, more than mathematics … . it is an excellent book also for supporting courses at University, PhD and Post doc level. Moreover, it is indispensable for scientists … ." (Biomedical Engineering OnLine, May, 2005) "Chaotic and fractal work has become popular among the mathematicians. … The introductions to reprinted classical texts … . illustrate how a theory emerges, how answers create new questions, and how progress is made. The reader will be grateful not only for these historical explanatory remarks … . Collectively they give a compelling account of how a new branch of mathematics was created by the author. This delightful book makes good reading." (Helmut Kirchner, Pure and Applied Geophysics, Vol. 162, 2005) "Benoit Mandelbrot, an award winning, academic nomad … is credited with changing the way scientists in many fields, look at the world. … founded the influential fields of fractal and multifractal geometry. … The book is well populated with black and white graphical computer outputs of fractals and conceptual illustrations. Never before published illustrations … are included. … Recommended for all university science libraries." (James A. Buczynski, E-Streams, Vol. 7 (10), 2004) "This book is a collection of early papers by Benoit B. Mandelbrot, combined with additional papers … . The reader surely will appreciate the number of pictures and illustrations … . The book will be valued by both mathematicians and physicists who are interested in the field. It is written in a clear and straightforward way whilst pointing out lots of applications. A non-mathematician will appreciate the minimal number of formulas … . the mathematician’s eye will be pleased by the exactness of the presentation." (EMS Newsletter, December, 2005) "This book contains early papers by Benoit Mandelbrot, as well as additional chapters … . the mathematical papers are extremely interesting, and a collection … is really a treat, but what I found even more fascinating (and more entertaining to read, even for non-specialists) are the papers dealing with background, historical notes, bibliographical notes, commentaries etc. … this is a wonderful book for a large group of readers … . Reading this book was a pleasure." (Mihaela Poplicher, MathDL, January, 2005) "Benoit Mandelbrot was 80 last year; and it is 25 years since he first saw the ubiquitious set that bears his name. … This book is a selection of articles from the 1980s and early 1990s, together with previously unpublished material from the same period … . The informal mix of mathematics and commentary in Mandelbrot’s book provides a fascinating insight into his motivation and method." (Shaun Bullett, Times Higher Education Supplement, August, 2005) "A scientist becomes rarely the historian of his own work, however here it is the case. … Mandelbrot comments upon each of the selected articles … . The reader will be grateful not only for these historical explanatory remarks, but also for pieces adapted or written by Mandelbrot especially for this book. Collectively they give a compelling account of how a new branch of mathematics was created by the author. This delightful book makes good reading." (Helmut Kirchner, Pure and Applied Geophysics, Vol. 162, 2005)Table of ContentsForeword by Peter W Jones*Preface*Quadratic Julia and Mandelbrot Sets*NonQuadratic Rational Dynamics*Iterated Nonlinear Function Systems and the Fractal Limit Sets of Kleinian Groups*Multifractal Invariant Measures*Background and History*Bibliography* Index.
£125.99
Elsevier Science Stochastic Processes in Physics and Chemistry
Book SynopsisReplaces the contrived application of the quantum master equation with a satisfactory treatment of quantum fluctuations. This work covers the fluctuations and stochastic methods for describing them. It is of interest to students and researchers in applied mathematics, physics and physical chemistry.Table of ContentsI. Stochastic variablesII. Random eventsIII. Stochastic processesIV. Markov processesV. The master equationVI. One-step processesVII. Chemical reactionsVIII. The Fokker-Planck equationIX. The Langevin approachX. The expansion of the master equationXI. The diffusion typeXII. First-passage problemsXIII. Unstable systemsXIV. Fluctuations in continuous systemsXV. The statistics of jump eventsXVI. Stochastic differential equationsXVII. Stochastic behavior of quantum systems
£80.99
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 Supersymmetry Supergravity and Unification
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£999.99
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.
£57.94
Cambridge University Press Causality Measurement Theory and the Differentiable Structure of SpaceTime
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£999.99
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.
£999.99
Institute of Physics Publishing Principles of Statistical Physics and Numerical
Book SynopsisThis unique text introduces classicalstatistical mechanics using molecular dynamic simulations to teach and explorethe subject. Illustrated by numerous figures and animations, the book will beuseful for students and professionals wishing to receive a contemporaryunderstanding of statistical physics anduse the methods in their research.
£89.10
Institute of Physics Publishing Statistical Mechanics Lecture notes
Book SynopsisStatistical Mechanics: Lecture notes forms the basis for a one-semester course on thermodynamics and statistical mechanics with largeattention given to fluctuations of various physical variables. To helpdevelop the students toolkit, a brief introduction to physics kinetics is alsoincluded.
£89.10
Institute of Physics Publishing Statistical Mechanics
Book SynopsisStatistical Mechanics: Problems with solutions contains detailed model solutions to the exerciseproblems formulated in the companion Lecture notes volume. In many cases, thesolutions include result discussions that enhance the lecture material. Forreaders'' convenience, the problem assignments are reproduced in this volume.
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IOP Publishing Statistical Mechanics Lecture notes Volume 7
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IOP Publishing QUANTUM STATISTICAL MECHANICS PB
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IOP Publishing Ltd Statistical Mechanics Problems with solutions
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IOP Publishing Numerical Solutions of Boundary Value Problems
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IOP Publishing Statistical Eyeglasses
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IOP Publishing Ltd Forecasting with Maximum Entropy
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Institute of Physics Publishing Quantum Statistical Mechanics in Classical Phase
Book SynopsisQuantum and classical physics are presented as distinct and unrelated. Transformation to classical phase space gives researchers access to algorithms derived from classical statistical mechanics that promise results on much more favourable terms. This book offers a framework for understanding the quantum world and collective molecular behaviour.
£108.00
Elsevier Science Statistical Physics
Book SynopsisTrade Review"Stimulating reading" --New ScientistTable of ContentsFundamental principles of theoretical physics; The Gibbs distribution; Ideal gases; Solids; Non-ideal gases; Solutions; Chemical reactions; Fluctuations; Surfaces.
£62.99
Springer Diffuse Waves in Complex Media
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MP-AMM American Mathematical Recent Advances in Numerical Methods for Partial
Book SynopsisDerives from lectures presented at the 2001 John H Barrett Memorial Lectures at the University of Tennessee, Knoxville. This work is suitable for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists.Table of ContentsSome multiscale methods for partial differential equations by J. Xu and A. Zhou Terascale implicit methods for partial differential equations by D. E. Keyes Boundary conditions for fully implicit two-phase flow models by M. Peszynska, E. W. Jenkins, and M. F. Wheeler Phase-field models of solidification by G. B. McFadden Singularity formation in free-surface Stokes flows by Q. Nie, S. Tanveer, T. F. Dupont, and X. Li A note on cache memory methods for multigrid in three dimensions by C. C. Douglas and D. T. Thorne.
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MP-AMM American Mathematical A Brief Introduction to Classical Statistical and
Book SynopsisPresents an overview of the basic methods and concepts in mechanics of applied mathematics or related fields. This book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods.Table of ContentsClassical mechanics of discrete systems Wave mechanics Statistical mechanics Quantum mechanics Bibliography Index.
£29.66
