Download Advanced Calculus: A Geometric View (Undergraduate Texts in by James J. Callahan PDF

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 swap of variables formulation, implicit and inverse functionality theorems, the necessary theorems of Gauss and Stokes--the textual content treats different very important issues in differential research, akin to Morse's lemma and the Poincaré lemma.  the guidelines in the back of so much themes might be understood with simply or 3 variables.  The ebook accommodates smooth computational instruments to provide visualization actual power.  utilizing 2nd and 3D photographs, the ebook deals new insights into basic components 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.  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 a number of semester courses--including themes in geometry.  The measured speed of the booklet, with its wide examples and illustrations, make it specially compatible for self sustaining study.

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