Texts in Applied Mathematics 41: Integral Transforms and Their Applications, Third Edition (Hardback)
Texts in Applied Mathematics 41: Integral Transforms and Their Applications, Third Edition (Hardback)
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From the back cover: "Over 400 problems accompany the text, illustrating areas of application. This third edition has been substantially updated, extended, and reorganized. Graduate students and researchers working in mathematics and physics will find this book useful."BRIEF CONTENTS
- Preface to the Third Edition
- Preface to the Second Edition
- Preface to the First Edition
- 1 - Functions of a Complex Variable
- 2 - The Laplace Transform
- 3 - The Inversion Integral
- 4 - Ordinary Differential Equations
- 5 - Partial Differential Equations I
- 6 - Integral Equations
- 7 - The Fourier Transform
- 8 - Partial Differential Equations II
- 9 - Generalized Functions
- 10 - Green's Functions
- 11 - Transforms in Several Variables
- 12 - The Mellin Transform
- 13 - Application to Sums and Integrals
- 14 - Hankel Transforms
- 15 - Integral Transforms Generated by Green's Functions
- 16 - The Wiener-Hopf Technique
- 17 - Methods Based on Cauchy Integrals
- 18 - Laplace's Method for Ordinary Differential Equations
- 19 - Numerical Inversion of Laplace Transforms
- Bibliography
- Index
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PUBLISHER: Springer Science+Business Media
ISBN-13: 9780387953144
ISBN-10: 0387953140