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 procedure that comes with greater than 250 illustrations, this textbook units itself except all others in complicated calculus.  along with the classical capstones--the switch of variables formulation, implicit and inverse functionality theorems, the essential theorems of Gauss and Stokes--the textual content treats different vital issues in differential research, equivalent to Morse's lemma and the Poincaré lemma.  the guidelines in the back of such a lot subject matters should be understood with simply or 3 variables.  The ebook comprises smooth computational instruments to offer visualization genuine power.  utilizing 2nd and 3D photographs, the ebook deals new insights into primary parts of the calculus of differentiable maps.  The geometric subject matter keeps with an research of the actual which means of the divergence and the curl at a degree of element 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 creation to linear algebra and multivariable calculus.  there's sufficient fabric for a year-long path on complicated calculus and for various semester courses--including subject matters in geometry.  The measured speed of the e-book, with its huge examples and illustrations, make it specially compatible for self reliant study.

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

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