By James J. Callahan

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 quintessential 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 guidelines at the back of such a lot subject matters might be understood with simply or 3 variables.  The ebook contains smooth computational instruments to offer visualization actual power.  utilizing second and 3D photographs, the publication bargains new insights into primary components of the calculus of differentiable maps.  The geometric subject maintains with an research of the actual that means of the divergence and the curl at a degree of aspect 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.  must haves are an creation to linear algebra and multivariable calculus.  there's sufficient fabric for a year-long path on complex calculus and for various semester courses--including subject matters in geometry.  The measured speed of the publication, with its huge examples and illustrations, make it particularly appropriate for self sustaining study.

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

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