# Introduction to Mathematical Physics: Methods & Concepts

## Chun Wa Wong

### Abstract

Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps ... More

Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. The book covers advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. Short tutorials on basic mathematical topics are included to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages the reader to use computer-aided algebra to solve problems in mathematical physics.

*Keywords: *
space-time,
functions,
motion,
relativity,
nonlinearity,
vector algebra,
fourier series,
fourier transform,
differential equations

### Bibliographic Information

Print publication date: 2013 |
Print ISBN-13: 9780199641390 |

Published to Oxford Scholarship Online: May 2013 |
DOI:10.1093/acprof:oso/9780199641390.001.0001 |