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

By James J. Callahan

With a clean geometric process that comes with greater than 250 illustrations, this textbook units itself except all others in complex calculus.  along with the classical capstones--the switch of variables formulation, implicit and inverse functionality theorems, the indispensable theorems of Gauss and Stokes--the textual content treats different very important subject matters in differential research, resembling Morse's lemma and the Poincaré lemma.  the information at the back of so much themes might be understood with simply or 3 variables.  The e-book contains sleek computational instruments to offer visualization actual power.  utilizing second and 3D portraits, the booklet bargains new insights into primary components of the calculus of differentiable maps.  The geometric topic keeps with an research of the actual that means of the divergence and the curl at a degree of element no longer present in different complicated 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 complex calculus and for numerous semester courses--including subject matters in geometry.  The measured speed of the publication, with its large examples and illustrations, make it specially compatible for autonomous study.

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


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