Get Advanced Calculus: A Geometric View (Undergraduate Texts in PDF

By James J. Callahan

With a clean geometric process that includes 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 imperative theorems of Gauss and Stokes--the textual content treats different vital issues in differential research, similar to Morse's lemma and the Poincaré lemma.  the tips at the back of such a lot issues might be understood with simply or 3 variables.  The ebook accommodates smooth computational instruments to offer visualization actual power.  utilizing 2nd and 3D images, the ebook deals new insights into basic parts of the calculus of differentiable maps.  The geometric topic keeps with an research of the actual which means of the divergence and the curl at a degree of element now not present in different complicated calculus books.  it is a textbook for undergraduates and graduate scholars in arithmetic, the actual sciences, and economics.  must haves are an creation to linear algebra and multivariable calculus.  there's sufficient fabric for a year-long direction on complicated 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 in particular compatible 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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