Multiple Integrals in Calculus: Improper Integrals, Line Integrals, Surface Integrals
Georgiev, Svetlin G
Format: Paperback
Publisher: de Gruyter
ISBN: 9783119143455
This text is a self-contained study of multiple integrals and the related theory of mathematical analysis, moving from the basic definition of multiple integrals through improper integrals, the Stieltjes integral, and curvilinear integrals to surface integrals. It covers the Jordan measure, the Taylor formula, and the convergence criteria that a reader working through advanced calculus will need. Its eight chapters, which include the Gauss-Ostrogradsky theorem and Stokes' formulas along with worked practical problems, make it suited to students and instructors seeking a structured treatment of these topics at the textbook level.
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