Mostly Surfaces(English, Paperback, Schwartz Richard Evan)

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Mostly Surfaces(English, Paperback, Schwartz Richard Evan) is written by Schwartz Richard Evan and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821853686 (ISBN 10) and 9780821853689 (ISBN 13).

This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much formality. The book also includes some material only tangentially related to surfaces, such as the Cauchy Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigourous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis.