Includes bibliographical references and index.
Springer international edition.

This book serves as an introduction to the use of mathematics in describing collective phenomena in physics and biology. Derived from a course of innovative lectures, the book shows students early in their studies how many of the topics they have encountered – partial differential equations, differential equations, Fourier series, and linear algebra – are useful in constructing, analyzing, and interpreting phenomena present in the real world. Throughout, ideas are developed using worked examples and exercises with solutions. The text does not assume a strong background in physics.