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Advanced Calculus: A Geometric View

Advanced Calculus: A Geometric View

Hardcover

Series: Undergraduate Texts in Mathematics

CalculusGeneral Mathematics

ISBN10: 1441973311
ISBN13: 9781441973313
Publisher: Springer
Published: Sep 17 2010
Pages: 526
Weight: 2.65
Height: 1.50 Width: 7.20 Depth: 10.20
Language: English
With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

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Callahan, James J.

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Calculus