Vector Calculus

This book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. The organization of the text draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in its approach, it is written with an assumption that the reader may have computing facilities for two- and three-dimensional graphics and for doing symbolic algebra.

This book provides an accessible treatment of multivariable calculus which is useful to readers in disciplines that include mathematics, computer science, physics, chemistry, and engineering. The book's organization draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in its approach, it nonetheless assumes that the reader may have computing facilities for two- and three-dimensional graphics and for doing symbolic algebra. The book contains hundreds of figures and through exposition and exercises, the reader is encouraged to visualize with the aid of hand drawings and computers. It introduces geometry in three dimensional space early in the book along with Cylindrical and Spherical coordinates, anticipating their later use in connection with the Chain Rule and change of variable in double and triple integrals. It also introduces matrix notation and the rudiments of linear algebra early in the book to facilitate exposition throughout the rest of the book. It also provides approximately 1200 exercises that include drills, applications, proofs, and "technologically active" projects. A valuable mathematics reference book for professionals in disciplines that include computer science, physics, chemistry, and engineering.