This book is intended for undergraduate students who are majoring in physics (or other
physical sciences), applied mathematics, or engineering. The goal of the book is to provide
the essential mathematical physics background needed for the study of analytic mechanics
and mechanical wave motion, heat and thermodynamics, electromagnet ism, modern
physics, and quantum mechanics. In addition, it is intended to provide the necessary background
for advanced work in these areas. Numerous examples and illustrations are given
throughout each chapter, and problems are included at the end of each chapter. Certain
problems are used to introduce new material in a self-contained manner.
Throughout the book, the level of presentation is fairly uniform (with the possible exception
of certain sections of chapters 2 and 12), and the included material should be readily
accessible to undergraduate students who have a working knowledge of general physics and
of differential and integral calculus. The desire to maintain a uniform level of presentation
was used as a guide for the selection of topics to include (and exclude).
The material on essentials of vector spaces, essential algebraic structures, and exterior
differential forms is invaluable for the study of physics today; the inclusion and presentation
of this material at the undergraduate level are among the distinguishing features of this
book.
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