This free book offers advanced undergraduates and graduate students in physics, engineering, and other natural sciences a solid foundation in several fields of mathematics.

## Book Description

Clear and well-written, it assumes a previous knowledge of the theory of functions of real and complex variables, and it is ideal for classroom use, self-study, or as a supplementary text. The book provides a bridge from courses in general physics to the intermediate-level courses in classical mechanics, electrodynamics and quantum mechanics. The author bases the mathematical discussions on specific physical problems to provide a basis for developing mathematical intuition.

## Table of Contents

- Vector Spaces and Matrices
- Orthogonal Functions
- The Roots of Polynomial Equations
- Asymptotic Expansions
- Ordinary Differential Equations
- Conformal Mapping
- Extremum Problems