Overview
- Covers a wide range of essential mathematical concepts useful for theoretical physics
- Provides physical applications of the mathematical techniques wherever possible
- Includes nearly 400 worked-out problems and end-of-chapter exercises
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Table of contents (32 chapters)
Keywords
- Vector calculus and applications
- Linear vector spaces, matrices and operators
- Probability, statistics and random processes
- Complex analysis
- Special functions
- Partial differential equations
- Electrostatics
- Magnetostatics
- Infinite dimensional vector spaces
- Fourier series and Fourier integrals
- Discrete and continuous probability distributions
- Analytic functions
- Laplace transforms
- Green's function
About this book
This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and self-contained text which explains how mathematics intertwines with and forms an integral part of physics in numerous instances. Rather than emphasizing rigorous proofs of theorems, specific examples and physical applications (such as fluid dynamics, electromagnetism, quantum mechanics, etc.) are invoked to illustrate and elaborate upon the relevant mathematical techniques. The early chapters of the book introduce different types of functions, vectors and tensors, vector calculus, and matrices. In the subsequent chapters, more advanced topics like linear spaces, operator algebras, special functions, probability distributions, stochastic processes, analytic functions, Fourier series and integrals,Laplace transforms, Green's functions and integral equations are discussed. The book also features about 400 exercises and solved problems interspersed throughout the text at appropriate junctures, to facilitate the logical flow and to test the key concepts. Overall this book will be a valuable resource for a wide spectrum of students and instructors of mathematical physics.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Mathematical Physics
Book Subtitle: Applications and Problems
Authors: V. Balakrishnan
DOI: https://doi.org/10.1007/978-3-030-39680-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Authors 2020
Hardcover ISBN: 978-3-030-39679-4Published: 08 April 2020
Softcover ISBN: 978-3-030-39682-4Published: 08 April 2021
eBook ISBN: 978-3-030-39680-0Published: 07 April 2020
Edition Number: 1
Number of Pages: XXVII, 781
Number of Illustrations: 136 b/w illustrations, 1 illustrations in colour
Topics: Mathematical Methods in Physics, Mathematical Physics, Engineering Mathematics