Integral Transforms Integral Equations and Applications to Partial Differential Equations [A Theoretical and Applied Approch] (English Version)

Book Details

• Publisher: Spellbound Publishers & Distributors

• Author: Dr. Abhik Sur

• Language: English

• Edition: Latest

• ISBN: 9788198923394

• Pages: 267

• Cover: Paperback

About the Book

Integral Transforms, Integral Equations and Applications to Partial Differential Equations [A Theoretical and Applied Approach] by Dr. Abhik Sur is a valuable resource designed for students, researchers, and professionals in mathematics, physics, and engineering. This book provides a detailed study of integral transforms and integral equations, highlighting their importance in solving partial differential equations (PDEs).

Key highlights of the book include:

• A clear introduction to the concept of integral transforms, explaining their necessity and usefulness in solving differential equations.

• Detailed coverage of common transforms such as Laplace transform, Fourier transform, Z-transform, Mellin transform, Hankel transform, and Wavelet transform.

• Step-by-step explanations on applying these transforms to simplify and solve ordinary and partial differential equations.

• Demonstrations on how these methods are applied to PDEs such as the heat equation, wave equation, and Poisson’s equation, making the subject practical and application-oriented.

• Insight into different types of integral equations, including solution techniques and applications in various physical and engineering problems.

This comprehensive approach bridges both theoretical understanding and applied techniques, making it an essential text for postgraduate students, researchers, and academicians working in applied mathematics and related disciplines.

About the Author

Dr. Abhik Sur is an eminent Associate Professor and Head of the Department of Mathematics at Salesian University. He holds an M.Sc. and Ph.D. from the University of Calcutta and is a noted researcher in the field of Generalized Transform Theory.

With over 100 research articles published in reputed international and national journals, Dr. Sur has made significant contributions to applied mathematics. He is also the author of several academic books focusing on mathematical methods, vector analysis, and solid mechanics. Additionally, he serves as a member of the editorial board for multiple reputed journals.

His expertise, combined with years of teaching and research, makes this book a highly reliable reference for both learners and professionals.