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.
"synopsis" may belong to another edition of this title.
Richard Evan Schwartz is at Brown University, Providence, RI, USA.
"About this title" may belong to another edition of this title.
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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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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. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780821853689
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