By Richard Evan Schwartz
This e-book offers a couple of issues on the topic of surfaces, reminiscent of Euclidean, round and hyperbolic geometry, the basic workforce, common masking surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. the most suggestion is to get to a couple fascinating arithmetic with out an excessive amount of formality. The e-book additionally contains a few fabric merely tangentially regarding surfaces, akin to the Cauchy tension Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The objective of the ebook is to provide a tapestry of rules from numerous components of arithmetic in a transparent and rigorous but casual and pleasant manner. must haves comprise undergraduate classes in actual research and in linear algebra, and a few wisdom of complicated research.
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