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. The book contains many figures, and encourages the reader to viszualize with the aid of hand drawings and computers, and through expositions and exercises. It introduces geometry in three-dimensional space, together with Cylindrical and Spherical Co-ordinates, 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 to facilitate exposition. It also provides approximately 1200 exercises, including drills, applications, proofs and "technologically active" projects.