The chief aim of this book is to provide undergraduate students, who have a working knowledge of differential and integral calculus, with most of the
mathematical prerequisites required for the study of classical and quantum mechanics, electromagnetism, statistical thermodynamics, and special and general relativity as well as other areas of physics, chemistry, applied mathematics, and engineering. The selected topics are based on my estimation of what is essential for undergraduate students in these areas and on the frequency with which these topics occur in physical applications.