Advanced calculus
(2013)
Nonfiction
eBook
Details
PUBLISHED
[United States] : Dover Publications : Made available through hoopla, 2013
DESCRIPTION
1 online resource
ISBN/ISSN
9780486173740 (electronic bk.) MWT11606011, 0486173747 (electronic bk.) 11606011
LANGUAGE
English
NOTES
Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives - gradient, divergent, curl, and exterior - are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables
Mode of access: World Wide Web