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Integral transforms and their applications

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Cover of 'Integral transforms and their applications'

Table of Contents

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    Book Overview
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    Chapter 1 Definition and Elementary Properties
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    Chapter 2 The Inversion Theorem
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    Chapter 3 Ordinary Differential Equations
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    Chapter 4 Partial Differential Equations
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    Chapter 5 Integral Equations
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    Chapter 6 The Inversion Integral
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    Chapter 7 Definitions and Elementary Properties
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    Chapter 8 Application to Partial Differential Equations
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    Chapter 9 Generalized Functions
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    Chapter 10 Green’s Functions
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    Chapter 11 Fourier Transforms in Two or More Variables
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    Chapter 12 Mellin Transforms
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    Chapter 13 Mellin Transforms in Summation
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    Chapter 14 Integrals Involving a Parameter
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    Chapter 15 Hankel Transforms
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    Chapter 16 Dual Integral Equations
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    Chapter 17 Integral Transforms Generated by Green’s Functions
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    Chapter 18 The Wiener-Hopf Technique
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    Chapter 19 Methods Based on Cauchy Integrals
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    Chapter 20 Laplace’s Method for Ordinary Differential Equations
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    Chapter 21 Numerical Inversion of Laplace Transforms
Attention for Chapter 20: Laplace’s Method for Ordinary Differential Equations
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