Description
IK International Publishing House Pvt Ltd Special Functions and Fourier Series With Boundary Value Problems and Curve Fitting 1st Edition 2022 by Salam Subhaschandra Singh
Designed for undergraduate and postgraduate students of Physics, Mathematics and Engineering, this book includes almost all the special functions, that is, Fourier Series, Boundary Value Problems and Theory of Errors and Fitting of Curves. It is supposed that the students are acquainted with fundamentals of calculus, co-ordinate geometry, trigonometry and the theory of complex variables.
The salient features of this book are:
- Every Special Function contained in this book is elaborately studied with plenty of solved and unsolved problems.
- Compared with the existing books in the same fields, the book will be more useful to the students as it contains wider studies on various Special Functions in more detail.
- This book contains larger number of solved problems and, therefore, it will be more useful to the students.
- Applications of Fourier Series and Special Functions in solving Boundary Value Problems are included.
- Applications of Fourier Transform in solving differential equations is included.
- A separate chapter on "Theory of Errors and Fitting of Curves" has been included.
Table of Contents:-
- Power Series and Their Convergence and Divergence
- Legendre Polynomials
- Associated Legendre Polynomials
- Spherical Harmonics
- Hermite Polynomials
- Laguerre Polynomials
- Associated Laguerre Polynomials
- Bessel Functions
- Hypergeometric Functions
- Dirac-Delta Function and Heaviside Unit Step Function
- Fourier Series and Fourier Transforms
- Partial Differential Equations and Boundary Value Problems
- Beta and Gamma Functions
- Theory of Errors and Fitting of Curves
- References
- Index
About the Author:-
Salam Subhaschandra Singh :- is Associate Professor of Physics, Imphal College, Imphal, Manipur (India). Formerly, he was Lecturer, Selection Grade at Moirang College, Moirang, Manipur and Associate Professor of Physics at Dhanamanjuri College of Science, Imphal, Manipur. Since last 32 years, he is teaching the undergraduate Physics Honours students the two fascinating papers of Mathematical Physics and Quantum Mechanics. During the past three decades of his teaching career, he had published 16 research papers in international journals and also 3 volumes of a book entitled B. Sc. Practical Physics. His present area of interest is the Physics of Solitons or Solitary Waves.