By Richard Evan Schwartz
This ebook offers a few issues concerning surfaces, comparable to Euclidean, round and hyperbolic geometry, the elemental crew, common overlaying surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. the most notion is to get to a few attention-grabbing arithmetic with no an excessive amount of formality. The ebook additionally contains a few fabric in basic terms tangentially with regards to surfaces, comparable to the Cauchy tension Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The aim of the booklet is to offer a tapestry of rules from quite a few components of arithmetic in a transparent and rigorous but casual and pleasant method. must haves comprise undergraduate classes in genuine research and in linear algebra, and a few wisdom of advanced research.
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