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

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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.  in addition to the classical capstones--the swap of variables formulation, implicit and inverse functionality theorems, the critical theorems of Gauss and Stokes--the textual content treats different vital issues in differential research, equivalent to Morse's lemma and the Poincaré lemma.  the information at the back of so much subject matters will be understood with simply or 3 variables.  The e-book comprises sleek computational instruments to offer visualization genuine power.  utilizing second and 3D pictures, the ebook deals new insights into primary parts of the calculus of differentiable maps.  The geometric topic 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.  necessities are an advent to linear algebra and multivariable calculus.  there's sufficient fabric for a year-long path on complex calculus and for numerous semester courses--including subject matters in geometry.  The measured speed of the ebook, with its broad examples and illustrations, make it specifically 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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