Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics)

ISBN-13: 9781441973313
ISBN-10: 1441973311
Edition: 2010
Author: James J. Callahan
Publication date: 2010
Publisher: Springer
Format: Hardcover 542 pages
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Book details

ISBN-13: 9781441973313
ISBN-10: 1441973311
Edition: 2010
Author: James J. Callahan
Publication date: 2010
Publisher: Springer
Format: Hardcover 542 pages

Summary

Acknowledged authors James J. Callahan wrote Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics) comprising 542 pages back in 2010. Textbook and eTextbook are published under ISBN 1441973311 and 9781441973313. Since then Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics) textbook was available to sell back to BooksRun online for the top buyback price of $ 14.50 or rent at the marketplace.

Description

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. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. 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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