An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications

by Stanley J. Farlow
     
 

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ISBN-10: 048644595X

ISBN-13: 9780486445953

Pub. Date: 03/11/2006

Publisher: Dover Publications


Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition.
Starting

Overview


Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition.
Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear differential equations and chaos, and partial differential equations. Numerous figures, problems with solutions, and historical notes clarify the text.

Product Details

ISBN-13:
9780486445953
Publisher:
Dover Publications
Publication date:
03/11/2006
Series:
Dover Books on Mathematics Series
Pages:
640
Sales rank:
250,515
Product dimensions:
8.30(w) x 10.90(h) x 1.30(d)

Table of Contents

1. Introduction to Differential Equations
2. First-Order Differential Equations
3. Second-Order Linear Equations
4. Series Solutions
5. The Laplace Transform
6. Systems of Differential Equations
7. Difference Equations
8. Nonlinear Differential Equations and Chaos
9. Partial Differential Equations
Appendix
Answers to Problems
Index

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