ENGLISH

Mostly surfaces

By Richard Evan Schwartz

Book information

Publisher
American Mathematical Society
Year
2011
ISBN
0821853686, 978-0-8218-5368-9
Language
english
Format
PDF
Filesize
4 MB (4265306 bytes)
Series
Student Mathematical Library 060
Pages
330\330
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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 rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis

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