Download e-book for iPad: Advanced Calculus: A Geometric View (Undergraduate Texts in by James J. Callahan

By James J. Callahan

ISBN-10: 1441973311

ISBN-13: 9781441973313

With a clean geometric technique that includes greater than 250 illustrations, this textbook units itself except all others in complicated calculus.  along with the classical capstones--the swap of variables formulation, implicit and inverse functionality theorems, the quintessential theorems of Gauss and Stokes--the textual content treats different vital subject matters in differential research, similar to Morse's lemma and the Poincaré lemma.  the information in the back of such a lot themes will be understood with simply or 3 variables.  The publication accommodates sleek computational instruments to provide visualization genuine power.  utilizing 2nd and 3D snap shots, the e-book deals new insights into basic parts of the calculus of differentiable maps.  The geometric subject matter maintains with an research of the actual which means of the divergence and the curl at a degree of aspect no longer present in different complex calculus books.  this can be a textbook for undergraduates and graduate scholars in arithmetic, the actual sciences, and economics.  necessities are an advent to linear algebra and multivariable calculus.  there's adequate fabric for a year-long path on complex calculus and for various semester courses--including subject matters in geometry.  The measured velocity of the booklet, with its large examples and illustrations, make it specially appropriate for autonomous study.

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Advanced Calculus: A Geometric View (Undergraduate Texts in Mathematics) by James J. Callahan

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