Applied mathematics Books
Oxford University Press Finite Elements and Fast Iterative Solvers
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£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 SemiMarkov Models Theory and Applications
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£123.49
Springer Fractals in Petroleum Geology and Earth Processes
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£170.99
Springer Global Energy Demand in Transition The New Role of Electricity 350
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£85.49
Springer Quantization Coherent States and Complex Structures
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£123.49
Springer Nonlinear Optimization and Applications Proceedings of the International School of Mathematics G Stampacchia 21st Workshop Held in Erice Italy 1995 Interdisciplinary Contributions to
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£123.49
Springer Symmetries in Science Proceedings of an International Symposium Held in Bregenz Austria July 1318 1997 No 10 Language of Science
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£123.49
Springer Modern Analytic Mechanics
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£85.49
Springer Nonlocality in Quantum Physics
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£85.49
Springer Godunov Methods Theory and Applications
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£237.49
Springer The Application of Mathematics to the Sciences of Nature
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£123.49
Springer Elements of Continuum Mechanics and Conservation Laws
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£123.49
Springer Heterogeneous Materials I
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£85.49
Springer Modern Portfolio Optimization with NuOPT SPLUS and SBayes
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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 Numerical Linear Algebra
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£71.24
Springer An Introduction to the Mathematics of Money
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£75.99
Springer Nonlinear Dynamics in Geosciences Aegean Conferences
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£170.99
Springer Networks and Grids
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£75.99
Springer Data Mining in Biomedicine 7 Springer Optimization and Its Applications
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£170.99
Springer Neutral and Indifference Portfolio Pricing Hedging and Investing With applications in Equity and FX
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£58.11
Springer Digital Noise Monitoring of Defect Origin
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£85.49
Springer Pareto Optimality Game Theory and Equilibria
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£123.49
Springer A Guide to Maple
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£85.49
Springer Mixing
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£113.99
Springer Mathematical Models for Biological Pattern Formation
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£152.99
Springer Microflows
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£44.99
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-Verlag New York Inc. Elementary Probability Theory
Book Synopsis1 Set.- 1.1 Sample sets.- 1.2 Operations with sets.- 1.3 Various relations.- 1.4 Indicator.- Exercises.- 2 Probability.- 2.1 Examples of probability.- 2.2 Definition and illustrations.- 2.3 Deductions from the axioms.- 2.4 Independent events.- 2.5 Arithmetical density.- Exercises.- 3 Counting.- 3.1 Fundamental rule.- 3.2 Diverse ways of sampling.- 3.3 Allocation models; binomial coefficients.- 3.4 How to solve it.- Exercises.- 4 Random Variables.- 4.1 What is a random variable?.- 4.2 How do random variables come about?.- 4.3 Distribution and expectation.- 4.4 Integer-valued random variables.- 4.5 Random variables with densities.- 4.6 General case.- Exercises.- Appendix 1: Borel Fields and General Random Variables.- 5 Conditioning and Independence.- 5.1 Examples of conditioning.- 5.2 Basic formulas.- 5.3 Sequential sampling.- 5.4 Pólya's urn scheme.- 5.5 Independence and relevance.- 5.6 Genetical models.- Exercises.- 6 Mean, Variance, and Transforms.- 6.1 Basic properties of expectationTrade Review"In spite of the original edition of the book being nearly thirty years old, the text still has its role to play in first and second year undergraduate probability courses. It provides an excellent foundation to more advanced courses in the subject."Short Book Reviews, Vol. 23/3, Dec. 2003 "This edition is the third revision of a text on mathematical probability first published in 1974. The text is aimed at undergraduate mathematics students and is accessible to a general audience. The prose is accurate, entertaining, and dense with historical tidbits. Two concluding chapters on mathematical finance have been added to the eight chapters in the third edition by the second author." The American Statistician, May 2004 From the reviews of the fourth edition: "The main novelty in the fourth edition of this well-written book is the addition of new chapters … . The new chapters share the friendly yet rigorous style of the former ones. They begin with an account of the financial vocabulary, which is then expounded in probabilistic terms. … Almost thirty years after its first edition, this charming book continues to be an excellent text for teaching and for self study." (Ricardo Maronna, Statistical Papers, Vol. 45 (4), 2004)Table of ContentsSet * Probability * Counting * Random Variables * Conditioning and Independence * Mean, Variance and Transforms * Poisson and Normal Distributions * From Random Walks to Markov Chains * Mean-Variance Pricing Model * Option Pricing Theory
£55.99
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
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Springer ITSM An Interactive Time Series Modelling Package for the PC
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£44.99
Springer Computing Science and Statistics Statistics of Many Parameters Curves Images Spatial Models
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Springer Real Analysis and Applications
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£58.99
Springer Statistical Challenges in Modern Astronomy II
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£123.49
Springer Wave Propagation in Complex Media
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£74.93
Springer Mathematical Control Theory
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Springer Neyman Softcover Reprint of the Origi Condensed Matter NEYMAN SOFTCOVER REPRINT OF THE ORIGI CONDENSED MATTER By Reid Constance Author Paperback Nov1997
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£66.49
Springer Programming with Data
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Springer Practical Optimization Methods With Mathematical Applications
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£113.99
Springer Symmetry and Integration Methods for Differential Equations
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£151.99
Springer Parallel Processing of Discrete Problems
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£65.50
Springer Gaussian SelfAffinity and Fractals Globality the Earth 1F Noise and RS Selected Works of Benoit B Mandelbrot
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Springer Basic Mathematics for Biochemists
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Springer Modelling the Structure of the Economy International Studies in Economic Modelling
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