An Introduction to Integral Transforms

ISBN-13: 9781032653358 / Miękka / 2024 / 428 str.

Baidyanath Patra

Opis

'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‐requi

Recenzje

"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

Spis treści

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

O autorze

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.