Integral transforms and their applications

By:

Das, K. P

Material type: Text

9788184876819

Subject(s):

DDC classification:

515.723 DAS-I

Contents:

Preface / FOURIER TRANSFORM: Fourier Transform / Fourier Sine and Cosine Transform / Finite Fourier Transform / Multiple Fourier Transform / Application to Partial Differential Equations / LAPLACE TRANSFORM: Basic Properties of Laplace Transform / The Inverse Laplace Transform / Two-Sided Laplace Transform / Solution of Linear Differential Equations / Linear Integral Equation of Convolution Type / MELLIN TRANSFORM: Definition and Properties of Mellin Transform / The Inverse Mellin Transform / Applications / HANKEL TRANSFORM: Hankel Transform / Finite Hankel Transform / Index.

Summary: INTEGRAL TRANSFORMS AND THEIR APPLICATIONS is about four important integral transforms, viz., Fourier transform, Laplace transform, Mellin transform and Hankel transform together with their application. These four integral transforms have been defined and their inversion formulas have been derived. They have been used in finding the solution of many physical problems. These problems include evolution of some definite integrals, integral equations involving Fourier kernel, solution of some partial differential equations with given initial and boundary condition which are of importance in mathematical physics.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	515.723 DAS-I (Browse shelf(Opens below))	Available		012832

Total holds: 0

This book includes an index

INTEGRAL TRANSFORMS AND THEIR APPLICATIONS is about four important integral transforms, viz., Fourier transform, Laplace transform, Mellin transform and Hankel transform together with their application. These four integral transforms have been defined and their inversion formulas have been derived. They have been used in finding the solution of many physical problems. These problems include evolution of some definite integrals, integral equations involving Fourier kernel, solution of some partial differential equations with given initial and boundary condition which are of importance in mathematical physics.

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