Ordinary Differential Equations
Part of Classics in Applied Mathematics
- Authors:
- George F. Carrier, Harvard University, Massachusetts
- Carl Pearson, University of Washington
- Date Published: July 1991
- availability: Available in limited markets only
- format: Paperback
- isbn: 9780898712650
Paperback
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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
See more reviews'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: Available in limited markets only
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.
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