An Introduction to Integral Transforms
eBook - ePub

An Introduction to Integral Transforms

Baidyanath Patra

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  1. 428 pages
  2. English
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eBook - ePub

An Introduction to Integral Transforms

Baidyanath Patra

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About This Book

'An Introduction to Integral Transforms' is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users of the subject. The content of the book is explained from a rudimentary stand point to an advanced level for convenience of its readers. Pre?requisite for understanding the subject matter of the book is some knowledge on the complex variable techniques.

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Information

Publisher
CRC Press
Year
2018
ISBN
9780429994333

Chapter 1

FOURIER TRANSFORM

1.1 Introduction

The method of integral transforms is one of the most easy and effective methods for solving problems arising in Mathematical Physics, Applied Mathematics and Engineering Science which are defined by differential equations, difference equations and integral equations. The main idea in the application of the method is to transform the unknown function, say, f(t) of some variable t to a different function, say, F(p) of a complex variable p. Then the associated differential equation can be directly reduced to either a differential equation of lower dimension or an algebraic equation in the variabl...

Table of contents