Integral Transforms and Their Applications / Edition 3

Integral Transforms and Their Applications / Edition 3

by Brian Davies
     
 

ISBN-10: 0387953140

ISBN-13: 9780387953144

Pub. Date: 01/01/2002

Publisher: Springer New York

This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools.…  See more details below

Overview

This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.

Product Details

ISBN-13:
9780387953144
Publisher:
Springer New York
Publication date:
01/01/2002
Series:
Texts in Applied Mathematics Series, #41
Edition description:
3rd ed. 2002
Pages:
370
Product dimensions:
9.21(w) x 6.14(h) x 0.94(d)

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

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