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Advanced Calculus: A Geometric View

Door James J. Callahan

Categorie
Algemeen wetenschap
Boeknummer
#398599-XM26
Titel
Advanced Calculus: A Geometric View
Auteur
Callahan, James J.
Boektype
Gebonden hardcover
Uitgeverij
Berlin/Heidelberg : Springer
Jaar van uitgave
2010
ISBN10
1441973311
ISBN13
9781441973313
Taal
Engels
Beschrijving
Original boards, figures/tables.formulas, large 8vo. Undergraduate Texts in Mathematics
Samenvatting
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 cu... (Lees verder)rl 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.
Pagina's
526
Conditie
Goed
Prijs
€ 30,00

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