Overview

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.

Full Product Details

Author:   Richard Evan Schwartz
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   60
Dimensions:   Width: 14.00cm , Height: 1.70cm , Length: 21.60cm
Weight:   0.396kg
ISBN:  

9780821853689

ISBN 10:   0821853686
Pages:   312
Publication Date:   30 July 2011
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Richard Evan Schwartz is at Brown University, Providence, RI, USA.

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