Introduction to mathematical physics : methods and concepts / Chun Wa Wong.

Includes bibliographical references (pages 694-697) and indexes.

1. Vectors and fields in space ;
2. Transformations, matrices, and operators ;
3. Relativistic square-root spaces ;
4. Fourier series and Fourier transformations ;
5. Differential equations in physics ;
6. Nonlinear systems ;
7. Special functions ;
8. Functions of a complex variable ;

APPENDIX A: TUTORIALS ;
APPENDIX B: MATHEMATICA AND OTHER COMPUTER ALGEBRA SYSTEMS ;
APPENDIX C: COMPUTER ALGEBRA (CA) WITH MATHEMATICA;

Bibliography--
Name index--
Subject index.

Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. This book 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. It contains 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. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematics encourages the reader to use computer-aided algebra to solve problems in mathematical physics.