Ebook: Vector Calculus and Differential Equations

This book is intended to fill the needs of a full year sophomore course to complete a two-year sequence of calculus with differential equations. It is properly the sequel to my Calculus with Analytic Geometry. However, it may be used effectively as a text generally for students who have studied a substantial first-year course in calculus, since with few exceptions the notation and terminology employed is standard.

The spirit of the text is to supply the student with a sufficiently rigorous and comprehensive experience in elementary mathematics to enable him to continue into advanced calculus or introductory abstract analysis without the usual jump discontinuities. On the other hand, there is an abundance of routine illustrative examples and straightforward exercises to give the student a solid background in the manipulative applications of calculus and differential equations.