Mathematics for the Physical Sciences – Herbert S. Wilf – 1st Edition


This book offers advanced undergraduates and graduate students in physics, , and other natural sciences a solid foundation in several fields of mathematics. Clear and well-written, it assumes a previous of the theory of functions of real and variables, and is ideal for classroom use, self-study, or as a supplementary text.

Starting with vector spaces and matrices, the text proceeds to orthogonal functions; the of polynomial equations; asymptotic expansions; ordinary ; conformal mapping; and extremum . Each chapter goes straight to the heart of the matter, developing subjects just far enough so that students can easily make the appropriate applications.

Exercises at the end of each chapter, along with solutions at the back of the book, afford further opportunities for reinforcement. Discussions of are oriented toward use, and they bridge the gap between the “there exists” perspective of pure mathematicians and the “find it to three decimal places” mentality of . Each chapter features a separate bibliography.

Table of Contents

Chapter 1: Vector spaces and matrices
Chapter 2: Orthogonal functions
Chapter 3: The roots of polynomial equations
Chapter 4: Asymptotic expansions
Chapter 5: Ordinary differential equations
Chapter 6: Conformal mapping
Chapter 7: Extremum problem
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