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Ordinary Differential Equations

Ordinary Differential Equations

textbook

Part of Classics in Applied Mathematics

  • Date Published: July 1991
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898712650

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  • Offers an alternative to the 'rote' approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume.

    Reviews & endorsements

    'This volume is a new edition of the original text, published in 1968. In these days of drearily identical textbooks, it is good to see one that is unique; its reappearance is welcome … The range of topics considered is extensive. In just over 200 pages, you will meet first- and second-order differential and difference equations, power and asymptotic series, eigenvalue expansions, special functions, (error, gamma, Bessel, Airy, and Legendre), the Laplace transform, variational calculus, solution of partial differential equations using separation of variables, nonlinear differential equations, numerical methods, and singular perturbation methods … In summary, this is a nice book, moderately priced and well worth owning …The publishers have done us a service in reissuing it.' J. M. Anthony Danby, SIAM Review

    'A refreshing change from the omnipresent 'cookbook' approach; heuristic arguments and beautiful, open-ended problems drive the discussion. Most problems end with a question forcing the solver to think about what he or she just did. Covers all the usual topics; great source of challenging problems for standard course.' American Mathematical Monthly

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    Product details

    • Date Published: July 1991
    • format: Paperback
    • isbn: 9780898712650
    • length: 230 pages
    • dimensions: 223 x 149 x 13 mm
    • weight: 0.311kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Introduction
    First-Order Linear Differential Equations
    Second-Order Differential Equations
    Power- Series Descriptions
    The Wronskian
    Eigenvalue Problems
    The Second-Order Linear Nonhomogeneous Equation
    Expansions in Eigenfunctions
    The Perturbation Expansion
    Asymptotic Series
    Special Functions
    The Laplace Transform
    Rudiments of the Variational Calculus
    Separation of Variables and Product Series Solutions of Partial Differential Equations
    Nonlinear Differential Equations
    More on Difference Equations
    Numerical Methods
    Singular Perturbation Methods.

  • Authors

    George F. Carrier, Harvard University, Massachusetts

    Carl Pearson, University of Washington

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