
Mostly Surfaces
Richard Evan Schwartz(Author)
American Mathematical Society (Publisher)
Will be published approx. on 30. July 2011
Book
Paperback/Softback
312 pages
978-0-8218-5368-9 (ISBN)
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 rigourous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Weight
396 gr
ISBN-13
978-0-8218-5368-9 (9780821853689)
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Schweitzer Classification
Person
Richard Evan Schwartz is at Brown University, Providence, RI, USA.