An Introduction to Integral Transforms

by Baidyanath Patra

Overview

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.

Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Product Details

ISBN-13:	9781032653358
Publisher:	CRC Press
Publication date:	06/25/2024
Pages:	428
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Baidyanath Patra is retired Professor of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India. With his forty years teaching and research experience the author has published several research papers in national and international journals of repute and also published few books for under graduate, post graduate and research students.

Table of Contents

1. Fourier Transform, 2. Finite Fourier Transform, 3. The Laplace Transform, 4. The Inverse Laplace Transform and Application, 5. Hilbert and Stieltjes Transforms, 6. Hankel Transforms, 7. Finite Hankel Transforms, 8. The Mellin Transform, 9. Finite Laplace Transforms, 10. Legendre Transforms, 11. The Kontorovich-Lebedev Transform, 12. The Mehler-Fock Transform, 13. Jacobi, Gegenbauer, Laguerre and Hermite Transforms, 14. The Z-Transform

Editorial Reviews

"This is a nice introductory book devoted to basic integral transforms of single-variable functions. It can be recommended to graduate and advanced undergraduate students, as well as to engineers and researchers in different areas of analysis and applications.

The book consists of fourteen chapters and covers the following topics: the Fou-rier, Laplace, and Mellin transforms; the Hilbert and Stieltjes transforms; the Hankel, Legendre, Mehler-Fock, Kantorovich-Lebedev transforms; the Jacobi, Gegenbauer, La-guerre and Hermite transforms; the Z-transform. It also includes the finite Fourier, Hankel, Mellin, and Laplace transforms.

The theory is accompanied with numerous examples and applications of integral transforms to diverse problems of mathematical physics."

- B. S. Rubin - Mathematical Reviews Clippings - April 2019

From the Publisher