Modern Calculus and Analytic Geometry (Dover Books on Mathematics)

A self-contained text for an introductory course | this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced | all theorems are proved using elementary methods | and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1 |600 problems ranges from exercise material to exploration of new points of theory &; many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized | unified text is copiously illustrated | amply cross-referenced | and fully indexed.