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 method that comes with greater than 250 illustrations, this textbook units itself except all others in complicated calculus.  in addition to 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 information at the back of so much issues should be understood with simply or 3 variables.  The e-book accommodates smooth computational instruments to provide visualization genuine power.  utilizing second and 3D photos, the e-book deals new insights into primary parts of the calculus of differentiable maps.  The geometric topic maintains with an research of the actual that means of the divergence and the curl at a degree of element no longer present in different complex calculus books.  it is 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 sufficient fabric for a year-long direction on complex calculus and for a number of semester courses--including issues in geometry.  The measured velocity of the booklet, with its broad examples and illustrations, make it specifically appropriate for self sufficient study.

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

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