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.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Student Mathematical Library |
Release date: |
July 2011 |
First published: |
June 2011 |
Authors: |
Richard Evan Schwartz
|
Dimensions: |
215 x 143 x 17mm (L x W x T) |
Format: |
Paperback
|
Pages: |
312 |
ISBN-13: |
978-0-8218-5368-9 |
Categories: |
Books
|
LSN: |
0-8218-5368-6 |
Barcode: |
9780821853689 |
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