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

By James J. Callahan

With a clean geometric process that includes 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 fundamental theorems of Gauss and Stokes--the textual content treats different very important issues in differential research, corresponding to Morse's lemma and the Poincaré lemma.  the information in the back of so much themes might be understood with simply or 3 variables.  The e-book contains smooth computational instruments to provide visualization actual power.  utilizing second and 3D pix, the ebook deals new insights into primary parts 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 now not 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 advent to linear algebra and multivariable calculus.  there's sufficient fabric for a year-long direction on complicated calculus and for various semester courses--including issues in geometry.  The measured velocity of the publication, with its wide examples and illustrations, make it particularly 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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