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

By James J. Callahan

With a clean geometric method that includes 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 indispensable theorems of Gauss and Stokes--the textual content treats different very important themes in differential research, corresponding to Morse's lemma and the Poincaré lemma.  the tips at the back of such a lot issues will be understood with simply or 3 variables.  The publication accommodates sleek computational instruments to offer visualization genuine power.  utilizing 2nd and 3D pix, the e-book deals new insights into basic parts of the calculus of differentiable maps.  The geometric subject matter keeps with an research of the actual which means of the divergence and the curl at a degree of aspect 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 sufficient fabric for a year-long path on complex calculus and for numerous semester courses--including themes in geometry.  The measured velocity of the e-book, with its large examples and illustrations, make it in particular appropriate for self sufficient study.

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