Integral transforms and their applications
Material type: TextPublication details: New Delhi : Narosa, ©2019Description: v, 224 p. : ill. ; 23 cmISBN:- 9788184876819
- 515.723 DAS-I
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books | IIITD General Stacks | Mathematics | 515.723 DAS-I (Browse shelf(Opens below)) | Available | 012832 |
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515.7 YAM-F From vector spaces to function spaces : introduction to functional analysis with applications | 515.7 YOS-F Functional analysis | 515.7223 PRA-R Representation theory : | 515.723 DAS-I Integral transforms and their applications | 515.723 DEB-I Integral transforms and their applications | 515.723 DYK-I An introduction to Laplace transforms and Fourier series | 515.723 SCH-L The laplace transform : |
This book includes an index
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.
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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