Wong C.W. Introduction to Mathematical Physics: Methods and Concepts

2nd Ed. — Oxford University Press, 2013. — 731 p. — ISBN: 0199641390, 9780199641390Mathematical 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. 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 Mathematica encourages the reader to use computer-aided algebra to solve problems in mathematical physics.Vectors and fields in space
Transformations, matrices, and operators
Relativistic square-root spaces
Fourier series and Fourier transformations
Differential equations in physics
Nonlinear systems
Special functions
Functions of a complex variable