Mostly surfaces

By:

Schwartz, Richard Evan

Material type: Text

TextLanguage: ENG Series: Student Mathematical Library ; Vol. 60Publication details: Rhode Island : American Mathematical Society, c2011.; Hyderabad : University Press (India) Pvt. Ltd., 2025.Edition: 1st Indian edDescription: xiii, 314 p. : ill. ; 22cmISBN:

9780821853689
978934970418 (pbk.)

Subject(s):

DDC classification:

516.3 SCH 23rd

Summary: 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 rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. Readership: Undergraduate students interested in geometry and topology of surfaces.

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Holdings
Item type	Current library	Call number	Status	Notes	Barcode
Books	Vigyanpuri Campus	516.3 SCH (Browse shelf(Opens below))	Available	Acquired through NBHM Library Grant 2025-2026.	M00091

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Previous	516.204 LIV The Golden Ratio	516.22 KIN Geometry transformed : Euclidean plane geometry based on rigid motions	516.24 SUL Trigonometry	516.3 SCH Mostly surfaces	516.3 VOI Hodge theory and complex algebraic geometry, I	516.3 VOI Hodge theory and complex algebraic geometry, I	516.3 VOI Hodge theory and complex algebraic geometry, I	Next

Includes illustrations, bibliographic references and subject index.

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 rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis.

Readership: Undergraduate students interested in geometry and topology of surfaces.

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