Differential and Integral Equations

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ISBN: 9780199297894 | 0199297894
Cover: Paperback
Copyright: 10/5/2006

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Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first-

Preface How to use this book Prerequisites
Integral equations and Picard's method
Existence and uniqueness
The homogeneous linear equation and Wronskians
The non-homogeneous linear equation: Variations of parameters and Green's functions
First-order partial differential equations
Second-order partial differential equations
The diffusion and wave equations and the equation of Laplace
The Fredholm alternative
Hilbert-Schmidt theory
Iterative methods and Neumann series
The calculus of variations
The Sturm-Liouville equation
Series solutions
Transform methods
Phase-plane analysis
Appendix: The solution of some elementary ordinary differential equations
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Differential and Integral Equations

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Table of Contents

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