This is a textbook for the third semester of calculus. The major
topics are multiple integrals in rectangular, polar, cylindrical
and spherical coordinates and vector calculus including vector
fields, line integrals and the theorems of Green, Stokes and Gauss
(divergence). The text has explanations, examples, worked
solutions, problem sets and answers. It has been reviewed by
calculus instructors and class-tested by them and the author.
Topics are typically introduced by way of applications, and the
text contains the usual theorems and techniques of a third semester
of calculus. Besides technique practice and applications of the
techniques, the examples and problem sets are also designed to help
students develop a visual and conceptual understanding of the main
ideas of calculus. The exposition and problem sets have been highly
rated by reviewers
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