Advanced Calculus : A Geometric View

Callahan, James J.

ISBN 10: 1493940708 / ISBN 13: 9781493940707

Editore: Springer 2016-08, 2016

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Codice articolo 6666-IUK-9781493940707

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Titolo: Advanced Calculus : A Geometric View

Casa editrice: Springer 2016-08

Data di pubblicazione: 2016

Legatura: PF

Condizione: New

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Riassunto:

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.

Informazioni sull?autore:

James J. Callahan is currently a professor of mathematics at Smith College. His previous Springer book is entitled The Geometry of Spacetime: An Introduction to Special and General Relativity. He was director of the NSF-funded Five College Calculus Project and a coauthor of Calculus in Context.