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Differential equations 1 edition

Differential equations
A. C. King

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Differential equations
linear, nonlinear, ordinary, partial
A.C. King, J. Billingham, and S.R. Otto

Published 2003 by Cambridge University Press in Cambridge, New York .
Written in English.

About the Book

The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad coverage, and clear and concise presentation will appeal to undergraduates.

Table of Contents

Part one: Linear equations
1. Variable coefficient, second order, linear, ordinary differential equations
2. Legendre functions
3. Bessel functions
4. Boundary value problems, Green's functions and Sturm-Liouville theory
5. Fourier series and the fourier transform
6. Laplace transforms
7. Classification, properties and complex variable methods for second order partial differential equations
Part two: Nonlinear equations and advanced techniques
8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations
9. Nonlinear ordinary differential equations: Phase plane methods
10. Group theoretical methods
11. Asymptotic methods: Basic ideas
12. Asymptotic methods: Differential equations
13. Stability, instability and bifurcations
14. Time-optimal control in the phase plane
15. Introduction to chaotic systems.

Edition Notes

Includes bibliographical references (p. 534-535) and index.

Description based on print version record.


Dewey Decimal Class
Library of Congress
QA371 .K52 2003eb

The Physical Object

[electronic resource] :
1 online resource (xi, 541 p.) :
Number of pages

ID Numbers

Open Library
Internet Archive
0511078315, 0511076746
9780511078316, 9780511076749


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