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Mostly Surfaces (Student Mathematical Library, 60) - Softcover

 
9780821853689: Mostly Surfaces (Student Mathematical Library, 60)

Synopsis

This book is based on notes that Schwartz made when he taught an undergraduate seminar on surfaces at Brown University in 2005. Students should have completed a semester each in real analysis, abstract algebra, and complex analysis, though he embeds a kind of mini-course on complex analysis in this text. He discusses surfaces from many perspectives, such as metric spaces, triangulated surfaces, and hyperbolic surfaces as well as some matter only tangential to surfaces. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)

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About the Author

Richard Evan Schwartz is at Brown University, Providence, RI, USA.

Review

This is a novel, eclectic, and ambitious collection of geometric and topological topics developed as they relate to surfaces ... a terrific volume. Highly recommended. --Choice

...a delightful reading. Schwartz gives a beautiful, careful exposition of some of the most elegant ideas, theorems, and proofs in the theory of surfaces. It's an ideal book for casual reading in spare mathematical moments. --MAA Reviews

This highly readable book is an excellent introduction to the theory of surfaces, covering a wide variety of topics with references for further reading. Each chapter contains numerous exercises on the material to get the reader thinking about the subjects covered. There are also many diagrams to aid the reader in understanding the material. --Alastair Fletcher, Zentralblatt MATH

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Schwartz, Richard Evan
ISBN 10: 0821853686 ISBN 13: 9780821853689
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:9780821853689. Seller Inventory # 5832949

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Paperback. Condition: New. 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. Seller Inventory # LU-9780821853689

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Condition: New. 2001. Paperback. Topics related to surfaces Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces and more. Series: Student Mathematical Library. Num Pages: 312 pages, Illustrations. BIC Classification: PBMW. Category: (G) General (US: Trade). Dimension: 215 x 143 x 17. Weight in Grams: 396. . . . . . Seller Inventory # V9780821853689

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Condition: New. 2001. Paperback. Topics related to surfaces Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces and more. Series: Student Mathematical Library. Num Pages: 312 pages, Illustrations. BIC Classification: PBMW. Category: (G) General (US: Trade). Dimension: 215 x 143 x 17. Weight in Grams: 396. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780821853689

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