Mostly Surfaces by Richard Evan Schwartz

Mostly Surfaces by Richard Evan Schwartz

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Mostly Surfaces by Richard Evan Schwartz

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.
Richard Evan Schwartz is at Brown University, Providence, RI, USA.
SKU Unavailable
ISBN 13 9780821853689
ISBN 10 0821853686
Title Mostly Surfaces
Author Richard Evan Schwartz
Series Student Mathematical Library
Condition Unavailable
Binding Type Paperback
Publisher American Mathematical Society
Year published 2011-07-30
Number of pages 312
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.