Mathematical Methods in the Physical Sciences

Mathematical Methods in the Physical Sciences is a 1966 textbook by mathematician Mary L. Boas intended to develop skills in mathematical problem solving needed for junior to senior-graduate courses in engineering, physics, and chemistry. The book provides a comprehensive survey of analytic techniques and provides careful statements of important theorems while omitting most detailed proofs. Each section contains a large number of problems, with selected answers. Numerical computational approaches using computers are outside the scope of the book.

The book, now in its third edition, was still widely used in university classrooms as of 1999 and is frequently cited in other textbooks and scientific papers.

Chapters

 * 1) Infinite series, power series
 * 2) Complex numbers
 * 3) Linear algebra
 * 4) Partial differentiation
 * 5) Multiple integrals
 * 6) Vector analysis
 * 7) Fourier series and transforms
 * 8) Ordinary differential equations
 * 9) Calculus of variations
 * 10) Tensor analysis
 * 11) Special functions
 * 12) Series solution of differential equations; Legendre, Bessel, Hermite, and Laguerre functions
 * 13) Partial differential equations
 * 14) Functions of a complex variable
 * 15) Integral transforms
 * 16) Probability and statistics