Applied mathematics Books
Oxford University Press, USA Parallel Optimization Theory Algorithms and Applications Numerical Mathematics and Scientific Computation
Book SynopsisThis text provides an introduction to the methods of parallel optimization by introducing parallel computing ideas and techniques into both optimization theory and numerical algorithms for large-scale optimization problems.Trade Review"This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields."--Mathematical Reviews "This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields."--Mathematical ReviewsTable of ContentsForeword ; Preface ; Glossary of Symbols ; 1. Introduction ; Part I Theory ; 2. Generalized Distances and Generalized Projections ; 3. Proximal Minimization with D-Functions ; Part II Algorithms ; 4. Penalty Methods, Barrier Methods and Augmented Lagrangians ; 5. Iterative Methods for Convex Feasibility Problems ; 6. Iterative Algorithms for Linearly Constrained Optimization Problems ; 7. Model Decomposition Algorithms ; 8. Decompositions in Interior Point Algorithms ; Part III Applications ; 9. Matrix Estimation Problems ; 10. Image Reconsturction from Projections ; 11. The Inverse Problem in Radiation Therapy Treatment Planning ; 12. Multicommodity Network Flow Problems ; 13. Planning Under Uncertainty ; 14. Decompositions for Parallel Computing ; 15. Numerical Investigations
£217.50
Oxford University Press Inc Introductory Mathematical Economics
Book SynopsisProviding an overview of computational mathematics and a series of key economics problems using "higher mathematics", this book presents a mix of classical and contemporary economic theory. It also covers the problems of uncertainty, continuous-time dynamics, comparative statistics, and the applications of optimization methods to economics.Table of Contents0. Review of Mathematics ; 1. Economic Applications of One-Variable Calculus ; 2. Economic Applications of Multivariate Calculus ; COMPARATIVE STATICS 1: ONE AND TWO VARIABLES WITH AND WITHOUT OPTIMIZATION ; 4. Integration, Time and Uncertainty in Economics ; 5. Introduction to Continuous-Time Dynamics in One and Two Dimensions ; 6. Matrices and Economic Theory ; 7. Comparative Statics 2: n Variables with and without Optimization ; 8. Comparative Statics 3: Optimization under Constraint ; 9. Inequality Constraints in Optimization Theory
£165.03
Oxford University Press From Complexity to Life
Book SynopsisThis book brings together an impressive group of leading scholars in the sciences of complexity, and a few workers on the interface of science and religion, to explore the wider implications of complexity studies. It includes an introduction to complexity studies and explores the concept of information in physics and biology and various philosophical and religious perspectives. Chapter authors include Paul Davies, Greg Chaitin, Charles Bennett, Werner Loewenstein, Paul Dembski, Ian Stewart, Stuart Kauffman, Harold Morowitz, Arthur Peacocke, and Niels H. Gregersen.Trade ReviewMelanie Mitchell's book is most enjoyable, truly inspiring, skillfully written, and, above all, beautifully clear. The author's enthusiasm and passion for the field make the book fascinating to read. Her rigor, clarity, and healthy skepticism make the book sound and the field scientifically stronger. It is an excellent and rigorous account of the scientific field of complexity. She proves by example that it is possible to explain complex systems science with rigor, breadth, depth, and - above all - exquisite clarity * Artificial Life *Table of ContentsPart 1: Introduction ; 1. Towards an Emergentist Worldview ; Part 2: Defining Complexity ; 2. Randomness and Mathematical Proof ; 3. "How to define Complexity in Physics, and Why?" ; Part 3: The Concept of Information in Physics and Biology ; 4. The Emergence of Autonomous Agents ; 5. Complexity and The Arrow of Time ; 6. Can Evolutionary Algorithms Generate Specified Complexity? ; 7. The Second Law of Thermodynamics and the Fourth Law of Thermodynamics ; 8. Two Arrows from a Mighty Bow ; Part 4: Philosophical and Religious Perspectives ; 9. Emergence of Transcendence ; 10. Complexity, Emergence and Divine Creativity ; 11. From Anthropic Design to Self-Organized Complexity
£28.99
Clarendon Press Statistical Physics of Spin Glasses and Information Processing
Book SynopsisSpin glasses are magnetic materials. Statistical mechanics, a subfield of physics, has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical techniques have been developed to establish a theory of spin glasses. Surprisingly, these techniques have turned out to offer new tools and viewpoints for the understanding of information processing problems, including neural networks, error-correcting codes, image restoration, and optimization problems. This book is one of the first publications of the past ten years that provide a broad overview of this interdisciplinary field. Most of the book is written in a self-contained manner, assuming only a general knowledge of statistical mechanics and basic probability theory. It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments.Trade Review... very enjoyable to read and often opening the reader's eye to new possibilities. This is a perfect introduction to the field for students and researchers who want to study problems in information science, including the use of physics in information processing * Butsuri *Table of Contents1. Mean-field theory of phase transitions ; 2. Mean-field theory of spin glasses ; 3. Replica symmetry breaking ; 4. Gauge theory of spin glasses ; 5. Error-correcting codes ; 6. Image restoration ; 7. Associative memory ; 8. Learning in perceptron ; 9. Optimization problems ; A. Eigenvalues of the Hessian ; B. Parisi equation ; C. Channel coding theorem ; D. Distribution and free energy of K-Sat ; References ; Index
£102.50
Oxford University Press Phylogenetics
Book Synopsis''Phylogenetics'' is the reconstruction and analysis of phylogenetic (evolutionary) trees and networks based on inherited characteristics. It is a flourishing area of intereaction between mathematics, statistics, computer science and biology.The main role of phylogenetic techniques lies in evolutionary biology, where it is used to infer historical relationships between species. However, the methods are also relevant to a diverse range of fields including epidemiology, ecology, medicine, as well as linguistics and cognitive psychologyThis graduate-level book, based on the authors lectures at The University of Canterbury, New Zealand, focuses on the mathematical aspects of phylogenetics. It brings together the central results of the field (providing proofs of the main theorem), outlines their biological significance,and indicates how algorithms may be derived. The presentation is self-contained and relies on discrete mathematics with some probability theory. A set of exercises and at least one specialist topic ends each chapter.This book is intended for biologists interested in the mathematical theory behind phylogenetic methods, and for mathematicians, statisticians, and computer scientists eager to learn about this emerging area of discrete mathematics.''Phylogenetics'' in the 24th volume in the Oxford Lecture Series in Mathematics and its Applications. This series contains short books suitable for graduate students and researchers who want a well-written account of mathematics that is fundamental to current to research. The series emphasises future directions of research and focuses on genuine applications of mathematics to finance, engineering and the physical and biological sciences.Trade ReviewThe authors' versatility in words, as well as in mathematics, makes reading this book altogether an enjoyable experience for the mathematically-inclined. * Systematic Biology *The authors state in the preface that their intention is to provide "a reasonably self-contained overview of an expanding field". In our opinion, they certainly succeed in meeting that goal. * Systematic Biology *All in all, this book should serve as an excellent mathematical introduction to phylogenetics for beginners and as a good reference for experts in the field. * Systematic Biology *Concisely and clearly written, Phylogenetics is a must-read for mathematicians or computer scientists who wish to do research in molecular phylogenetics, computational biology and bioinformatics. I hope the book will attract powerful mathematicians into this exciting area of research. * TRENDS in Ecology and Evolution *... this book provides a concise and lucid summary of the mathematics literature related to phylogenetics. * TRENDS in Ecology and Evolution *Table of ContentsPreliminaries ; 1. Graphs and their role in biology ; 2. X-trees and phylogenetic trees ; 3. Trees and splits ; 4. Compatibility of characters ; 5. Maximum Parsimony ; 6. Subtrees and supertrees ; 7. Tree-based metrics ; 8. Markov models on trees ; References ; Commonly-used symbols ; Index
£132.50
Clarendon Press Group Theory in Subnuclear Physics 19 Oxford Studies in Nuclear Physics
Book SynopsisThe book, which has grown out of a course given over the past ten years, provides an introduction to group theory and its application in subnuclear physics, particularly in multi-quark systems and hadron spectroscopy. A number of exercises, with solutions, are included.Trade ReviewThe book may be treated as a modern "practical introduction to concepts of group theory and some of their applications, especially in subnuclear physics"......In the text, the general statements and investigations are illustrated by many concrete examples given, as a rule, in explicit expanded mathematical form. A large number of tables (about 50) most of which are original forms an essential part of the book. * Zeitschrift fur Mathematik *Table of Contents1. Symmetries in quantum mechanics ; 2. Elements of group theory ; 3. Linear representations of a group ; 4. Permutation group Sn ; 5. Lie groups ; 6. The orthogonal group ; 7. The Poincare group and the Lorenz group ; 8. Unitary groups ; 9. Gauge groups ; 10. Multiquark systems ; Appendix A: Conservation Laws ; Appendix B: The rearrangement theorem, Schur's lemmas and the orthogonality theorem ; Appendix C: Invariant Integration ; Appendix D: Dimension of an SU(n) irrep
£180.00
Oxford University Press The Theory of Open Quantum Systems
Book SynopsisThis book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states.The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algTrade ReviewThis book covers a large set of topics, normally not covered in standard physics curricula ... I recommend this book to physicists interested in widening their horizons in the directions covered by the book ... I do not know of any other source providing such a systematic and well written introduction into this area of research. * Mathematical Reviews *Table of ContentsPREFACE ; ACKNOWLEDGEMENTS ; PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS ; 1. Classical probability theory and stochastic processes ; 2. Quantum Probability ; PART 2: DENSITY MATRIX THEORY ; 3. Quantum Master Equations ; 4. Decoherence ; PART 3: STOCHASTIC PROCESSES IN HILBERT SPACE ; 5. Probability distributions on Hilbert space ; 6. Stochastic dynamics in Hilbert space ; 7. The stochastic simulation method ; 8. Applications to quantum optical systems ; PART 4: NON-MARKOVIAN QUANTUM PROCESSES ; 9. Projection operator techniques ; 10. Non-Markovian dynamics in physical systems ; PART 5: RELATIVISTIC QUANTUM PROCESSES ; 11. Measurements in relativistic quantum mechanics ; 12. Open quantum electrodynamics
£175.00
Oxford University Press SpectralHP Element Methods for Computational Fluid Dynamics
Book SynopsisSpectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited. More recently the need to find accurate solutions to the viscous flow equations around complex configurations has led to the development of high-order discretisation procedures on unstructured meshes, which are also recognised as more efficient for solution of time-dependent oscillatory solutions over long time periods. Here Karniadakis and Sherwin present a much-updated and expanded version of their successful first edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Containing over 50% new material, including discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniques, this text aims to introduce a wider audience to the use oTrade ReviewThe book contains a large amount of material, including a number of exercises, examples and figures. The book will be helpful to specialists coming into contact with CFD, applied and numerical mathematicians, engineers, physicists and specialists in climate and ocean modeling. It can also be recommended for advanced students of these disciplines. * EMS Newsletter *This book will probably help popularize the spectral/hp element method. Not only should it be recommended to researchers working on spectral/hp methods but it should also be on the wish list of all those who are interested in computational fluid dynamics. * Jean-Luc Guermond, Mathematical Reviews *Table of ContentsIntroduction ; Fundamental concepts in one dimension ; Multi-dimensional expansion bases ; Multi-dimensional formulations ; Diffusion equation ; Advection and advection-diffusion ; Non-conforming elements ; Algorithms for incompressible flows ; Incompressible flow simulations:verification and validation ; Hyperbolic conservation laws ; Appendices ; Jacobi polynomials ; Gauss-Type integration ; Collocation differentiation ; Co discontinuous expansion bases ; Characteristic flux decomposition ; References ; Index
£173.38
Clarendon Press A First Course in Coding Theory Paperback
Book SynopsisAlgebraic coding theory is a new and rapidly developing subject, motivated by immediate practical applications, but also rich in mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes.
£79.00
Clarendon Press TypeTheoretical Grammar 1 Indices
Book SynopsisBL First book to apply type theory to natural language Per Martin Lof first presented constructive type theory in 1970 and it has become intrinsic to the foundations of mathematics and computer science. This book is the first to take an in-depth look at the theory from the point of view of linguistics and the philosophy of language.Trade Review'The formalism introduced by the author allows better understanding of the role of semantics in grammars of natural languages and supplies mechnisms for various levels of linguistic description.' T.Balanescu, Zenrrallblatt fur Mathematik und ihre Grenzgebiete No. 855, 1997Table of Contents1. Preliminary remarks ; 2. Gradual introduction to type theory ; 3. Logical operators in English ; 4. Anaphoric expressions ; 5. Temporal reference ; 6. Text and discourse ; 7. Context and possible worlds ; 8. Higher-level type theory ; 9. Sugaring and parsing ; Appendix ; Sugaring in ALF ; Bibliography ; Index
£81.70
Oxford University Press, USA An Introduction to the Kinetic Theory of Gases and Magnetoplasmas Oxford Science Publications
Book SynopsisGives a physical treatment of the kinetic theory of gases and magnetoplasmas, using mean-free-path arguments when possible and identifying problem areas where received theory has either failed or fallen short of expectations. L.C. Woods has also written "The Thermodynamics of Fluid Systems".Trade Reviewthe book presents a treatment of the kinetic theory of gases and magnetoplasmas in such a way that it covers the standard material in a way as simple as possible .,.. The book seems to radiate a deep conviction - which is appreciated by the reviewer - that the development of the kinetic theory needs not only calculational skills and computational magic in evaluating the content of the theory in model arrangements, but equally, if not in excess, deep insight into the physical processes. * I. Abonyi, Besprechungsbelege, February 1994 *Table of Contents1. Basic concepts ; 2. The Maxwellian velocity distribution ; 3. Elementary kinetic theory ; 4. Particle diffusion ; 5. Intermediate kinetic theory ; 6. Advanced kinetic theory ; 7. Boltzmann's kinetic equation ; 8. Second-order kinetic theory ; 9. Dynamics of charged particles ; 10. Kinetic theory for magnetoplasmas ; 11. Transport across strong magnetic fields ; Appendix ; References ; Index
£82.65
Oxford University Press An Introduction to Quantum Computing
Book SynopsisThis concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.Trade ReviewThe book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts. * MathSciNet *Table of ContentsPreface ; 1. Introduction and background ; 2. Linear algebra and the Dirac notation ; 3. Qubits and the framework of quantum mechanics ; 4. A quantum model of computation ; 5. Superdense coding and quantum teleportation ; 6. Introductory quantum algorithms ; 7. Algorithms with super-polynomial speed-up ; 8. Algorithms based on amplitude amplification ; 9. Quantum computational complexity theory and lower bounds ; 10. Quantum error correction ; Appendices ; Bibliography ; Index
£61.00
Oxford University Press, USA Smoothing and Decay Estimates for Nonlinear Diffusion Equations
Book SynopsisThis text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis.Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity (equations of porous medium type), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic pTrade ReviewThis book is intended to introduce graduate students to the methods and results of nonlinear diffusion equations of porous medium type, as practised today. The present text, remarkable for generality and depth, is also notable for its author's concern, throughout, to keep the important issues about varieties clearly in the foreground ... [the book] succeeds admirably, in the reviewer's opinion, in introducing its difficult subject at a level appropriate for preparing future workers in the field. * Vicentiu Radulescu, Mathematical Reviews Issue 2007k *Table of ContentsPART I; PART II; PART III
£114.00
Oxford University Press Models for Dynamic Macroeconomics
Book SynopsisModels for Dynamic Macroeconomics provides the advanced student with key methodological tools for the dynamic analysis of a core selection of macroeconomic phenomena, including consumption and investment choices, employment and unemployment outcomes, and economic growth. The technical treatment of these tools will enable the student to handle current journal literature, while not assuming any particular familiarity with advanced analytical tools or mathematical notions. As these tools are introduced, they are related to particular applications to illustrate their use. Each chapter includes exercises which propose extensions to the model discussed in the text as well as end of chapter review exercises designed to consolidate learning. All exercise solutions are provided at the end of the book and further reading is discussed at the end of each chapter.By bridging the gap between undergraduate economics and modern microfounded macroeconomic research, this book will be of interest to gradTrade Review'This excellent book, written by two leaders of their field, provides a rigorous introduction to modern dynamic macroeconomics. It provides the modern perspective on consumption, investment and labor markets before putting it all together in models of general equilibrium as well as models of coordination failures. The book provides a much needed stepping stone so that students can cross the gap between undergraduate textbooks and the modern literature. I recommend it highly for serious advanced undergraduate courses, as a basic text for graduate courses, and as a reference text.' * Harald Uhlig, Humboldt-Universität zu Berlin *Table of ContentsPreface ; 1. Dynamic Consumption Theory ; 1.1 Permanent Income and Optimal Consumption ; 1.2 Empirical Issues ; 1.3 The Role of Precautionary Saving ; 1.4 Consumption and Financial Returns ; Appendix A1: Dynamic Programming ; Review Exercises ; Further Reading ; References ; 2. Dynamic Models of Investment ; 2.1 Convex Adjustment Costs ; 2.2 Continuous-Time Optimization ; 2.3 Steady-State and Adjustment Paths ; 2.4 The Value of Capital and Future Cash Flows ; 2.5 Average Value Capital ; 2.6 A Dynamic IS-LM Model ; 2.7 Linear Adjustment Costs ; 2.8 Irreversible Investment Under Certainty ; Appendix A2: Hamiltonian Optimization Methods ; Review Exercises ; Further Readings ; References ; 3. Adjustment Costs in the Labor Market ; 3.1 Hiring and Firing Costs ; 3.2 The Dynamics of Employment ; 3.3 Average Long-Run Effects ; 3.4 Adjustment Costs and Labor Allocation ; Appendix A3: (Two-State) Markov Processes ; Review Exercises ; Further Reading ; References ; 4. Growth in Dynamic General Equilibrium ; 4.1 Production, Savings, and Growth ; 4.2 Dynamic Optimization ; 4.3 Decentralized Production and Investment Decisions ; 4.4 Measurement of "Progress": the Solow Residual ; 4.5 Endogenous Growth and Market Imperfections ; Review Exercises ; Further Exercises ; References ; 5. Coordination and Externalities in Macroeconomics ; 5.1 Trading Externalities and Multiple Equilibria ; 5.2 A Search Model of Money ; 5.3 Search Externalities in the Labor Market ; 5.4 Dynamics ; 5.5 Externalities and Efficiency ; Review Exercises ; Further Reading ; References ; Answers to Exercises
£64.00
Oxford University Press Introduction to State Space Time Series Analysis
Book SynopsisProviding a practical introduction to state space methods as applied to unobserved components time series models, also known as structural time series models, this book introduces time series analysis using state space methodology to readers who are neither familiar with time series analysis, nor with state space methods. The only background required in order to understand the material presented in the book is a basic knowledge of classical linear regression models, of which a brief review is provided to refresh the reader''s knowledge. Also, a few sections assume familiarity with matrix algebra, however, these sections may be skipped without losing the flow of the exposition. The book offers a step by step approach to the analysis of the salient features in time series such as the trend, seasonal, and irregular components. Practical problems such as forecasting and missing values are treated in some detail. This useful book will appeal to practitioners and researchers who use time serTrade Reviewa fascinating read...excellent * CFA Society of the UK *I really recommend this book. It is a very good read and it is very reasonably priced. * Paul Eilers, The Newsletter of the Dutch Classification Society *Table of Contents1. Introduction ; 2. The Local Level Model ; 3. The Local Linear Trend Model ; 4. The Local Level Model with Seasonal ; 5. The Local Level Model with Explanatory Variable ; 6. The Local Level Model with Intervention Variable ; 7. The UK Seat Belt and Inflation Models ; 8. General Treatment of Univariate State Space Models ; 9. Multivariate Time Series Analysis ; 10. State Space and Box-Jenkins Methods for Time Series Analysis ; 11. State Space Modelling in Practice ; 12. Conclusions ; Appendix A UK Drivers KSI and Petrol Price ; Appendix B Road Traffic Fatalities in Norway and Finland ; Appendix C UK Front and Rear Seat Passengers KSI ; Appendix D UK Price Changes
£82.48
Oxford University Press Essential Quantum Mechanics
Book SynopsisQuantum mechanics - central not only to physics, but also to chemistry, materials science, and other fields - is notoriously abstract and difficult. Essential Quantum Mechanics is a uniquely concise and explanatory book that fills the gap between introductory and advanced courses, between popularizations and technical treatises.By focusing on the fundamental structure, concepts, and methods of quantum mechanics, this introductory yet sophisticated work emphasizes both physical and mathematical understanding. A modern perspective is adopted throughout - the goal, in part, being to gain entry into the world of ''real'' quantum mechanics, as used by practicing scientists.With over 60 original problems, Essential Quantum Mechanics is suitable as either a text or a reference. It will be invaluable to physics students as well as chemists, electrical engineers, philosophers, and others whose work is impacted by quantum mechanics, or who simply wish to better understand this fascinating subjecTrade ReviewVery well written, clear and to the point, and just at the right level to fill the regrettable gap between the maths-free popular books on quantum mechanics and the full courses in most textbooks. * Jeremy Butterfield, University of Cambridge *This book should be useful for undergraduate and graduate students in quantum mechanics, mathematics, materials science and Chemistry. * CERN Courier, June 2008. *If you teach quantum mechanics, you should read this book. If you are studying quantum mechanics, you should read this book. If you are vaguely interested in quantum mechanics, you should read this book. Everyone should read this book. Why? Because in this book you will find the fundamentals and the structure of quantum mechanics explained directly and clearly, with you in mind, without the naive tone of those common popularizations centered on the weirdness of the quantum [...] I wish I had had this little book (200 pages!) when I started studying quantum mechanics. [...] I find this book suitable as an uncluttered textbook for an Introduction to quantum mechanics undergraduate course in physics and engineering. * David J. Santos, Mathematical Reviews *Table of Contents1. Introduction: Three Worlds ; 2. The Quantum Postulates ; 3. What is a Quantum State? ; 4. The Structure of Quantum States ; 5. Operators ; 6. Matrix Mechanics ; 7. Commutators and Uncertainty Relations ; 8. Angular Momentum ; 9. The Time-independent Schrodinger Equation ; 10. Why is the State Complex? ; 11. Time Evolution ; 12. Wavefunctions ; Appendices
£100.00
Oxford University Press The Pendulum
Book SynopsisThe pendulum: a case study in physics is a unique book in several ways. Firstly, it is a comprehensive quantitative study of one physical system, the pendulum, from the viewpoint of elementary and more advanced classical physics, modern chaotic dynamics, and quantum mechanics. In addition, coupled pendulums and pendulum analogs of superconducting devices are also discussed. Secondly, this book treats the physics of the pendulum within a historical and cultural context, showing, for example, that the pendulum has been intimately connected with studies of the earth''s density, the earth''s motion, and timekeeping. While primarily a physics book, the work provides significant added interest through the use of relevant cultural and historical vignettes. This approach offers an alternative to the usual modern physics courses. The text is amply illustrated and augmented by exercises at the end of each chapter.Trade ReviewIn this well-illustrated treatment of the study of pendulum, Baker (Bryn Athyn College of the New Church) and Blackburn (Wilfrid Laurier U.) provide fascinating information about the history of the pendulum and what scientists thought it did, the revolution wrought by Foucault, the special cases of the torsion pendulum, the chaotic pendulum, the quantum pendulum, and coupled pendulums, the effects of superconductivity, and the most familiar to most of us, the pendulum clock. They include information on special interests in the appendices, such as the inverted pendulum and the longnow clock. * SciTech Book News *One of the delightful aspects of this book is its attention to historical detail. Not only does this add greatly to the enjoyment of reading it, it also gives a vivid impression of progress in our knowledge of the physical world, all too often absent in more focused and specialized works. * Contemporary Physics *The Pendulum presents insights and unusual approaches that will broaden the experience of undergraduate physics students. * Kenneth S. Krane, Physics Today *Table of Contents1. Introduction ; 2. Pendulums somewhat simple ; 3. Pendulums less simple ; 4. The Foucault pendulum ; 5. The torsion pendulum ; 6. The chaotic pendulum ; 7. Coupled pendulums ; 8. The quantum pendulum ; 9. Superconductivity and the pendulum ; 10. The pendulum clock ; A. Pendulum Q ; B. The inverted pendulum ; C. The double pendulum ; D. The cradle pendulum ; E. The long now clock ; F. The Blackburn pendulum
£46.54
Oxford University Press Finite Elements and Fast Iterative Solvers
a huge range and FREE tracked UK delivery on ALL orders.
£175.00
Oxford University Press, USA Fluid Dynamics Part 2 Asymptotic Problems of Fluid Dynamics
Book SynopsisIn this second volume the reader is introduced to asymptotic methods. These are now an inherent part of applied mathematics, and are used in different branches of physics, but it was fluid dynamics where asymptotic techniques were first introduced.Table of Contents1. Perturbation Methods ; 2. Asymptotic Problems of Subsonic Flow Theory ; 3. Supersonic Flows past Thin Aerfoils ; 4. Transonic Flows ; 5. Hypersonic Flows ; 6. Low-Reynold-Number Flows
£71.25
Oxford University Press Inc Quantum Mechanics
Book SynopsisThis textbook presents quantum mechanics at the junior/senior undergraduate level. It is unique in that it describes not only quantum theory, but also presents five laboratories that explore truly modern aspects of quantum mechanics. These laboratories include proving that light contains photons, single-photon interference, and tests of local realism.The text begins by presenting the classical theory of polarization, moving on to describe the quantum theory of polarization. Analogies between the two theories minimize conceptual difficulties that students typically have when first presented with quantum mechanics. Furthermore, because the laboratories involve studying photons, using photon polarization as a prototypical quantum system allows the laboratory work to be closely integrated with the coursework.Polarization represents a two-dimensional quantum system, so the introduction to quantum mechanics uses two-dimensional state vectors and operators. This allows students to become comfortable with the mathematics of a relatively simple system, before moving on to more complicated systems. After describing polarization, the text goes on to describe spin systems, time evolution, continuous variable systems (particle in a box, harmonic oscillator, hydrogen atom, etc.), and perturbation theory.The book also includes chapters which describe material that is frequently absent from undergraduate texts: quantum measurement, entanglement, quantum field theory and quantum information. This material is connected not only to the laboratories described in the text, but also to other recent experiments. Other subjects covered that do not often make their way into undergraduate texts are coherence, complementarity, mixed states, the density operator and coherent states.Supplementary material includes further details about implementing the laboratories, including parts lists and software for running the experiments. Computer simulations of some of the experiments are available as well. A solutions manual for end-of-chapter problems is available to instructors.Trade ReviewI think this is an excellent text, and I recommend it strongly for an advanced undergraduate course in quantum mechanics. * mark Fox, University of Sheffield, Contemporary Science *Table of ContentsPreface ; Table of Symbols ; 1 Mathematical Preliminaries ; 2 Classical Description of Polarization ; 3 Quantum States ; 4 Operators ; 5 Measurement ; 6 Spin-1/2 ; 7 Angular Momentum and Rotation ; 8 Two-Particle Systems and Entanglement ; 9 Time Evolution and the Schrodinger Equation ; 10 Position and Momentum ; 11 Wave Mechanics and the Schrodinger Equation ; 12 The Harmonic Oscillator ; 13 Wave Mechanics in Three Dimensions ; 14 Time-Independent Perturbation Theory ; 15 Time-Dependent Perturbation Theory ; 16 Quantum Fields ; 17 Quantum Information ; Laboratories ; Getting Started ; Before Lab ; Important Laboratory Safety Tips ; Lab 1: Spontaneous Parametric Downconversion ; Lab 2: 'Proof' of the Existence of Photons ; Lab 3: Single Photon Interference ; Lab 4: Quantum State Measurement ; Lab 5: Testing Local Realism
£123.50
MIT Press Ltd Mathematical Modeling in Systems Biology
£54.02
ABC-CLIO The Nature of Information.
Book SynopsisYoung traces the evolution of the term information from its general linguistic use into the mainstream of modern science, proposing an entirely new definition of information as a mass-energy phenomenon.Table of ContentsIntroduction Part I: Information Part II: Form Part III: The Nature of Information Part IV: Mind Part V: Coda Notes Bibliography Index About the Authors
£70.00
Springer Mathematics of Financial Markets
Book SynopsisPricing by Arbitrage.- Martingale Measures.- The First Fundamental Theorem.- Complete Markets.- Discrete-time American Options.- Continuous-Time Stochastic Calculus.- Continuous-Time European Options.- The American Put Option.- Bonds and Term Structure.- Consumption-Investment Strategies.- Measures of Risk.Trade ReviewFrom the reviews: "...This book is a valuable addition to a graduate student's reference collection. The number of textbooks in mathematical finance is increasing much faster than the number of revolutionary contributions to the field, but this text stands above the crowd." SIAM Review, December 2005 From the reviews of the second edition: "The book is very carefully formatted. … this book is a valuable addition to a graduate student’s reference collection. The number of textbooks in mathematical finance is increasing much faster than the number of revolutionary contributions to the field, but this text stands above the crowd." (Alexandre D’Aspremont, SIAM Reviews, December, 2005) "The emphasis of the first edition of this book was on developing the mathematical concepts for the rapidly expanding field of mathematical finance. This second edition contains a significant number of changes and additions … . The target audience is readers with sound mathematical background on elementary concepts from measure-theoretic probability … . It should be an equally valuable resource to practitioners interested in the mathematical tools … . will be a very useful addition to any scholarly library." (Theofanis Sapatinas, Journal of Applied Sciences, Vol. 32 (6), 2005) "The second edition adds new matieral from current active research areas. A new chapter on coherent risk measures for instance reflects the recent trend in research and applications in the area of risk management. In summary, this is an excellent textbook in mathematical finance, and I can definitely recommend it." (S. Peng, Short Book Reviews of the ISI, June 2006)Table of ContentsPricing by Arbitrage * Martingale Measures * The Fundamental Theorem of Asset Pricing * Complete Markets and Martingale Representation * Stopping Times and American Options * A Review of Continuous Time Stochastic Calculus * European Options in Continuous Time * The American Option * Bonds and Term Structure * Consumption-Investment Strategies *
£89.99
Springer New York Mathematical Statistics Springer Texts in Statistics
Book SynopsisThis graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics.Trade ReviewFrom the reviews of the second edition: "The second edition of Mathematical Statistics continues to hold its identity among many other available books on mathematical statistics...The revised and updated version remains of high quality, and I recommend it for use as a text or reference book in a graduate statistics program." Journal of the American Statistical Association, September 2004 "The first edition of this book was published in 1999 … . The main changes include addition of new material in Chapter 1, addition and deletion of a number of exercises, addition of two new sub-sections … . The book remains valuable to instructors and graduate students of traditional mathematical statistics courses, specially for its large collection of problems and for its rigourous presentation." (Arup Bose, Sankhya: The Indian Journal of Statistics, Vol. 65 (3), 2003) "This book is intended for an advanced postgraduate course in Mathematical Statistics, offered in a mathematically rigorous fashion. … in order to get to grips with rigorous mathematical statistics, this is an ideal book. Also, as a reference book, it is ideally suited. … Two particularly attractive features of the book are the large number of exercises at the end of each chapter – well over a hundred in each chapter, and the fact that asymptotic theory is studied throughout the book … ." (Tertius de Wet, SASJ – South African Statistical Journal, March, 2004)Table of ContentsProbability Theory * Fundamentals of Statistics * Unbiased Estimation * Estimation in Parametric Models * Estimation in Nonparametric Models * Hypothesis Tests * Confidence Sets
£142.49
Springer New York Classical Mechanics
Book SynopsisIntended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany.Trade ReviewFrom the reviews: "What makes Greiner’s volumes of particular value to the student and professor alike is their completeness … Moreover, Greiner greatly increases the value of his presentation by including something like one hundred completely worked examples in each volume. Nothing is of greater importance to the student than seeing, in detail, how the theoretical concepts and tools under study are applied to actual problems of interest to working physicists … Greiner’s lectures … are internationally noted for their clarity, for their completeness, and for the effort that he has devoted to making physics an integral whole. His enthusiasm for his sciences is contagious and shines through almost every page." D. Allan Bromley, Yale University "This softcover publication … is based on the author’s courses at the J. W. Goethe University in Frankfurt. … Although the textbook, by its remarkable completeness, seems to be intended for advanced students and aims to be a reference book for graduate students and teachers, it is sufficiently understandable and extensive to be used by beginners as a first introduction to theoretical physics. It does not only provide a survey of classical theoretical mechanics, but also a respectable amount of examples and problems … ." (Georges Kohnen, Physicalia, Vol. 57 (3), 2005) "This volume of lectures … deals with the first and more elementary part of the important field of classical mechanics. The subject is presented in a manner that is both interesting to the student and easily accessible. The main text is therefore accompanied by many exercises and examples that have been worked out in great detail. This should make the book useful also for students wishing to study the subject on their own. … A worthwhile purchase for graduate students in physics … ." (Current Engineering Practice – online, Vol. 47, 2004)Table of ContentsContents Foreword Preface I VECTOR CALCULUS 1 Introduction and Basic Definitions 2 The Scalar Product 3 Component Representation of a Vector 4 The Vector Product (Axial Vector) 5 The Triple Scalar Product 6 Application of Vector Calculus Application in mathematics: Application in physics: 7 Differentiation and Integration of Vectors 8 The Moving Trihedral (Accompanying Dreibein)-the Frenet Formulas Examples on Frenet's formulas: 9 Surfaces in Space 10 Coordinate Frames 11 Vector Differential Operations The operations gradient, divergence, and curl (rotation) Differential operators in arbitrary general (curvilinear) coordinates 12 Determination of Line Integrals 13 The Integral Laws of Gauss and Stokes Gauss Law: The Gauss theorem: Geometric interpretation of the Gauss theorem: Stokes law: 14 Calculation of Surface Integrals 15 Volume (Space) Integrals II NEWTONIAN MECHANICS 16 Newton's Axioms 17 Basic Concepts of Mechanics Inertial systems Measurement of masses Work Kinetic energy Conservative forces Potential Energy law Equivalence of impulse of force and momentum change Angular momentum and torque Conservation law of angular momentum Law of conservation of the linear momentum Summary The law of areas Conservation of orientation 18 The General Linear Motion 19 The Free Fall Vertical throw Inclined throw 20 Friction Friction phenomena in a viscous medium Motion in a viscous medium with Newtonian friction Generalized ansatz for friction: 21 The Harmonic Oscillator 22 Mathematical Interlude-Series Expansion, Euler's Formulas 23 The Damped Harmonic Oscillator 24 The Pendulum 25 Mathematical Interlude: Differential Equations 26 Planetary Motions 27 Special Problems in Central Fields The gravitational field of extended bodies The attractive force of a spherical mass shell The gravitational potential of a spherical shell covered with mass Stability of circular orbits 28 The Earth and our Solar System General notions of astronomy Determination of astronomic quantities Properties, position, and evolution of the solar system World views On the evolution of the universe Dark Matter What is the nature of the dark matter? III THEORY OF RELATIVITY 29 Relativity Principle and Michelson-Morley Experiment The Michelson-Morley experiment 30 The Lorentz Transformation Rotation of a three-dimensional coordinate frame The Minkowski space Group property of the Lorentz transformation 31 Properties of the Lorentz transformation Time dilatation Lorentz-Fitzgerald length contraction Note on the invisibility of the Lorentz-Fitzgerald length contraction The visible appearance of quickly moving bodies Optical appearance of a quickly moving cube Optical appearance of bodies moving with almost the speed of light Light intensity distribution of a moving isotropic emitter Doppler shift of quickly moving bodies Relativistic space-time structure-space-time events Relativistic past, present, future The causality principle The Lorentz transformation in the two-dimensional subspace of the Minkowski space 32 Addition Theorem of the Velocities Supervelocity of light, phase, and group velocity 33 The Basic Quantities of Mechanics in Minkowski Space Lorentz scalars Four-velocity in Minkowski space Momentum in Minkowski space Minkowski force (four-force) Kinetic energy The Tachyon hypothesis Derivation of the energy law in the Minkowski space The fourth momentum component Conservation of momentum and energy for a free particle Relativistic energy for free particles Examples on the equivalence of mass and energy 34 Applications of th
£85.49
John Wiley & Sons Inc Experimental Designs
Book SynopsisThe past six years have seen a substantial increase in the attention paid by research workers to the principles of experimental design. The Second Edition of brings this handbook up to date, while retaining the basic framework that made it so popular. Describes the most useful of the designs that have been developed with accompanying plans and an account of the experimental situations for which each design is most suitable. Examples come from diverse fields of research, with an emphasis on biology and agriculture, two of the authors'' specialties. New chapters have been added: one discusses the fractional replication of experiments. A second is concerned with experiments of the factorial type that present new methods and designs in which the factors represent quantitative variables measured on a continuous scale. Other new material includes an introductory account of experimental strategies for finding the levels at which the factors must be set in order to obtain maximum response and Table of ContentsMethods for Increasing the Accuracy of Experiments. Notes on the Statistical Analysis of the Results. Completely Randomized, Randomized Block, and Latin SquareDesigns. Factorial Experiments. Confounding. Factorial Experiments in Fractional Replication. Factorial Experiments with Main Effects Confounded: Split-PlotDesigns. Factorial Experiments Confounded in Quasi-Latin Squares. Some Methods for the Study of Response Surfaces. Incomplete Block Designs. Lattice Designs. Balanced and Partially Balanced Incomplete Block Designs. Lattice Squares. Incomplete Latin Squares. Analysis of the Results of a Series of Experiments. Random Permutations of 9 and 16 Numbers. Selected Bibliography. List of Author References. Tables of t and F. Index.
£188.96
iUniverse MATH BY EXAMPLE THE WONDERFUL WORLD OF MATHEMATICS
a huge range and FREE tracked UK delivery on ALL orders.
£12.87
iUniverse AN INTRODUCTION TO MOOREPENROSE RINGS Volume I
a huge range and FREE tracked UK delivery on ALL orders.
£8.06
iUniverse REASONING AND APPLIED MATHEMATICS FOR THE EARLY YEARS A Handbook for Teachers
a huge range and FREE tracked UK delivery on ALL orders.
£12.06
Springer Asymptotic Distribution of Eigenvalues of Differential Operators 53 Mathematics and its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer Basic Elements of Differential Geometry and Topology 60 Mathematics and its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Instabilities and Nonequilibrium Structures III Workshop Proceedings 64 Mathematics and Its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer Kinetic Theory of Gases and Plasmas 46 Fundamental Theories of Physics
a huge range and FREE tracked UK delivery on ALL orders.
£170.99
Springer Bifurcations in Flow Patterns Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics 2 Nonlinear Topics in the Mathematical Sciences
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Categorical Data Analysis by AIC 7 Mathematics and its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer Exercises in Quantum Mechanics A Collection of Illustrative Problems and Their Solutions 6 Reidel Texts in the Mathematical Sciences
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Clifford Algebras and their Applications in Mathematical Physics Workshop Proceedings 47 Fundamental Theories of Physics
a huge range and FREE tracked UK delivery on ALL orders.
£170.99
Springer Functions of Completely Regular Growth 81 Mathematics and its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Theory and Applications of Convolution Integral Equations 79 Mathematics and Its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Gleasons Theorem and Its Applications 60 Mathematics and its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£104.49
Springer Carlemans Formulas in Complex Analysis Theory and Applications 244 Mathematics and Its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer Topics in Knot Theory Proceedings of the NATO Advanced Study Institute Erzurum Turkey September 12 1992 399 Nato Science Series C
a huge range and FREE tracked UK delivery on ALL orders.
£170.99
Springer Hamiltonian Mechanical Systems and Geometric Quantization 260 Mathematics and Its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer Mathematical Foundations of the State Lumping of Large Systems 264 Mathematics and Its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer Applications of Analytic and Geometric Methods to Nonlinear Differential Equations Proceedings of the NATO Advanced Research Workshop Exeter UK July 1419 1992 413 Nato Science Series C
a huge range and FREE tracked UK delivery on ALL orders.
£237.49
Springer Introduction to Geometry of Manifolds with Symmetry 270 Mathematics and Its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer The Geometry of Lagrange Spaces Theory and Applications 59 Fundamental Theories of Physics
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Solving Frontier Problems of Physics The Decomposition Method 60 Fundamental Theories of Physics
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
