Udvidet returret til d. 31. januar 2024

Bøger i Texts in Applied Mathematics serien

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  • af Hilary Ockendon & John R. Ockendon
    546,95 - 785,95 kr.

    Derived from an Oxford course and text, this revised book teaches the wide range of wave phenomena, focusing on compressible flow, and showing how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods.

  • af Kyle C. A. Wedgwood
    691,95 kr.

    This book is about the dynamics of neural systems and should be suitable for those with a background in mathematics, physics, or engineering who want to see how their knowledge and skill sets can be applied in a neurobiological context. No prior knowledge of neuroscience is assumed, nor is advanced understanding of all aspects of applied mathematics! Rather, models and methods are introduced in the context of a typical neural phenomenon and a narrative developed that will allow the reader to test their understanding by tackling a set of mathematical problems at the end of each chapter. The emphasis is on mathematical- as opposed to computational-neuroscience, though stresses calculation above theorem and proof. The book presents necessary mathematical material in a digestible and compact form when required for specific topics. The book has nine chapters, progressing from the cell to the tissue, and an extensive set of references. It includes Markov chain models for ions,differential equations for single neuron models, idealised phenomenological models, phase oscillator networks, spiking networks, and integro-differential equations for large scale brain activity, with delays and stochasticity thrown in for good measure. One common methodological element that arises throughout the book is the use of techniques from nonsmooth dynamical systems to form tractable models and make explicit progress in calculating solutions for rhythmic neural behaviour, synchrony, waves, patterns, and their stability. This book was written for those with an interest in applied mathematics seeking to expand their horizons to cover the dynamics of neural systems. It is suitable for a Masters level course or for postgraduate researchers starting in the field of mathematical neuroscience.

  • - An Introduction
    af Peter Deuflhard & Andreas Hohmann
    994,95 - 1.118,95 kr.

    This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations.

  • af Hüseyin Kocak & J. Hale
    1.073,95 - 1.147,95 kr.

    Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations.

  • af Josef Stoer & Roland Bulirsch
    1.006,95 - 1.286,95 kr.

    New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems

  • af Ake Bjorck
    691,95 - 1.116,95 kr.

    This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems.

  • - A Behavioral Approach
    af J.C. Willems & J.W. Polderman
    887,95 kr.

    Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables.

  • af Alexandre J. Chorin & Ole H. Hald
    782,95 - 849,95 kr.

    This book covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. Each chapter is followed by exercises. The book will be useful for scientists and engineers working in a wide range of fields and applications.

  • af hal smith
    772,95 - 779,95 kr.

    Based on the author's taught course at Arizona State University, this text focuses on the elements needed to understand the applications literature involving delay equations. It covers both the constructive and analytical mathematical models in the subject.

  • af Soren Bartels
    996,95 - 1.075,95 kr.

    Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology.

  • af Ridgway Scott & Susanne C. Brenner
    699,95 - 984,95 kr.

    This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.

  • af Russia) Merkin & D. R. (St Petersburg State University
    605,95 - 721,95 kr.

    Many books on stability theory of motion have been published in various lan guages, including English. Also, using appropriate examples, he demonstrates the process of investigating the stability of motion from the formulation of a problem and obtaining the differential equations of perturbed motion to complete analysis and recommendations.

  • - Conservation Laws and Elliptic Equations
    af J.W. Thomas
    1.099,95 kr.

    Continuing the theme of the first, this second volume continues the study of the uses and techniques of numerical experimentation in the solution of PDEs. It includes topics such as initial-boundary-value problems, a complete survey of theory and numerical methods for conservation laws, and numerical schemes for elliptic PDEs.

  • af Peter Deuflhard & Folkmar Bornemann
    801,95 - 891,95 kr.

    Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area

  • - A State-Space Approach
    af Hans Zwart & Ruth Curtain
    917,95 kr.

    To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems.

  • - A Mathematical Introduction
    af Kody Law, Andrew Stuart & Konstantinos Zygalakis
    418,95 - 650,95 kr.

    Data Assimilation

  • - Diffusion Processes, the Fokker-Planck and Langevin Equations
    af Grigorios A. Pavliotis
    555,95 - 838,95 kr.

    This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences.

  • af Maia Martcheva
    896,95 - 1.007,95 kr.

    The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models.

  • af Mark H. Holmes
    656,95 - 987,95 kr.

    In its expanded new edition, this book covers boundary layers, multiple scales, homogenisation, slender body theory, symbolic computing, discrete equations and more. Includes exercises derived from current research, drawn from a range of application areas.

  • af Thomas Rylander, Par Ingelstrom & Anders Bondeson
    731,95 - 974,95 kr.

    In its expanded second edition, this book describes sources of errors in numerical computations, and provides tools for assessing the accuracy of numerical methods and their solutions. Includes MATLAB programs and detailed description of practical issues.

  • af Fred Brauer & Carlos Castillo-Chavez
    705,95 - 993,95 kr.

    The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II.

  • - Foundations
    af Gregory L. Naber
    656,95 - 988,95 kr.

    Reflecting fresh mutual interest between mathematics and physics, this updated second edition interweaves rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that are their mathematical models.

  • - An Introduction to Applied Mathematics
    af Martin Braun
    603,95 kr.

    Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.

  • - Deterministic Finite Dimensional Systems
    af Eduardo D. Sontag
    790,95 - 986,95 kr.

    In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

  • af Mark H. Holmes
    704,95 - 713,95 kr.

    This book deals with the construction, analysis and interpretation of mathematical models to help us understand the world. It develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering.

  • - A Functional Analysis Framework
    af Kendall Atkinson
    1.097,95 kr.

    This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps them to move rapidly into a research program.

  • - Modelling, State Space Analysis, Stability and Robustness
    af Diederich Hinrichsen & Anthony J. Pritchard
    665,95 - 687,95 kr.

    This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source.

  • af Alexandre J. Chorin & Jerrold E. Marsden
    680,95 - 965,95 kr.

    The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject.

  • - Gibbs Fields, Monte Carlo Simulation, and Queues
    af Pierre Bremaud
    606,95 kr.

    Primarily an introduction to the theory of stochastic processes at the undergraduate or beginning graduate level, the primary objective of this book is to initiate students in the art of stochastic modelling. Researchers and students in these areas as well as in physics, biology and the social sciences will find this book of interest.

  • af Stephen Wiggins
    1.014,95 - 1.259,95 kr.

    This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior.

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