New PDF release: Advanced Calculus: A Geometric View (Undergraduate Texts in

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 swap of variables formulation, implicit and inverse functionality theorems, the crucial theorems of Gauss and Stokes--the textual content treats different very important issues in differential research, reminiscent of Morse's lemma and the Poincaré lemma.  the guidelines in the back of so much themes will be understood with simply or 3 variables.  The publication comprises smooth computational instruments to offer visualization actual power.  utilizing second and 3D pictures, the e-book bargains new insights into primary parts of the calculus of differentiable maps.  The geometric topic maintains with an research of the actual which means of the divergence and the curl at a degree of element now not 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 adequate fabric for a year-long path on complicated calculus and for numerous semester courses--including themes in geometry.  The measured velocity of the booklet, with its broad examples and illustrations, make it in particular appropriate for autonomous study.

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

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