Integral Transforms and Their Applications /
This book is an introduction and reference for the applications of integral transforms to a wide range of common mathematical problems. Emphasis is placed on the development of techniques and on the connection between properties of transforms and the kinds of problems for which they provide tools. O...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2002.
|
| Edition: | Third edition. |
| Series: | Texts in applied mathematics ;
41. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Functions of a Complex Variable
- The Laplace Transform
- The Inversion Integral
- Ordinary Differential Equations
- Partial Differential Equations I
- Integral Equations
- The Fourier Transform
- Partial Differential Equations II
- Generalized Functions
- Green's Functions
- Transforms in Several Variables
- The Mellin Transform
- Application to Sums and Integrals
- Hankel Transforms
- Integral Transforms Generated by Green's Functions
- The Wiener-Hopf Technique
- Methods Based on Cauchy Integrals
- Laplace's Method for Ordinary Differential Equations
- Numerical Inversion of Laplace Transforms.