Get Advanced Calculus: A Geometric View (Undergraduate Texts in 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 complicated calculus.  along with the classical capstones--the swap of variables formulation, implicit and inverse functionality theorems, the quintessential theorems of Gauss and Stokes--the textual content treats different vital subject matters in differential research, reminiscent of 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 comprises glossy computational instruments to offer visualization actual power.  utilizing 2nd and 3D pix, the publication bargains new insights into primary parts of the calculus of differentiable maps.  The geometric subject matter maintains with an research of the actual that means of the divergence and the curl at a degree of element 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 advent to linear algebra and multivariable calculus.  there's adequate fabric for a year-long direction on complex calculus and for a number of semester courses--including issues in geometry.  The measured speed of the ebook, with its large examples and illustrations, make it particularly 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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