By Richard Evan Schwartz
This e-book provides a couple of subject matters relating to surfaces, similar to Euclidean, round and hyperbolic geometry, the basic workforce, common overlaying surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. the most notion is to get to a couple fascinating arithmetic with no an excessive amount of formality. The ebook additionally contains a few fabric in simple terms tangentially on the topic of surfaces, resembling the Cauchy tension Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The aim of the ebook is to offer a tapestry of principles from a variety of parts of arithmetic in a transparent and rigorous but casual and pleasant method. necessities contain undergraduate classes in genuine research and in linear algebra, and a few wisdom of complicated research.
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