MATHEMATICS FOR INTRODUCTORY SCIENCE COURSES:
CALCULUS AND VECTORS

With a review of algebra, analytic geometry, and trigonometry.

Designed to fill the mathematical requirements of first year courses in the physical and biological sciences, this book is an intuitive and pictorial approach to many of the key ideas of mathematics. It will bring the students rapidly to the point where he can appreciate the mathematical arguments presented in these courses and understand the concepts underlying the use of mathematics and of graphical methods in analyzing experimental results.

Part I presents a concise review of the basic elements of mathematics. The introduction to calculus included in Part II is built upon the intuitive bases of concepts rather than upon their rigorous formalization, because of the author’s belief that this approach is sufficient for the purposes of introductory science courses and provides the student with an impetus to continue his mathematical studies. Part III gives a discussion of vectors, vector algebra (scalar, vector, and triple products), and vector differentiation more thorough than those usually presented in basic science texts. Numerous exercises, examples. and illustrations supplement the text.