By Richard Evan Schwartz
This ebook offers a few themes on the topic of surfaces, resembling Euclidean, round and hyperbolic geometry, the basic team, common overlaying surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. the most proposal is to get to a couple fascinating arithmetic with no an excessive amount of formality. The ebook additionally contains a few fabric basically tangentially with regards to surfaces, equivalent to the Cauchy stress Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The aim of the ebook is to offer a tapestry of rules from quite a few components of arithmetic in a transparent and rigorous but casual and pleasant approach. must haves contain undergraduate classes in genuine research and in linear algebra, and a few wisdom of advanced research.
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