Mathematical Methods in the Physical Sciences 3e (WSE) by Boas, Mary L.

This book is intended for students who have had a two-semester or three-semester introductory calculus course. Its purpose is to help students develop, in a short time, a basic competence in each of the many areas of mathematics needed in advanced courses in physics, chemistry, and engineering. Students are given sufficient depth to gain a solid foundation (this is not a recipe book). At the same time, they are not overwhelmed with detailed proofs that are more appropriate for students of mathematics. The emphasis is on mathematical methods rather than applications, but students are given some idea of how the methods will be used along with some simple applications.

Mary L. Boas is currently professor emeritus in the physics department at DePaul University.

Chapter 1 Infinite Series, Power Series Chapter 2 Complex Numbers Chapter 3 Linear Algebra Chapter 4 Partial Differentiation Chapter 5 Multiple Integrals Chapter 6 Vector Analysis Chapter 7 Fourier Series and Transforms Chapter 8 Ordinary Differential Equations Chapter 9 Calculus of Variations Chapter 10 Tensor Analysis Chapter 11 Special Functions Chapter 12 Legendre, Bessel, Hermite, and Laguerre functions Chapter 13 Partial Differential Equations Chapter 14 Functions of a Complex Variable Chapter 15 Probability and Statistics