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Student Mathematical Library: Mostly Surfaces by Richard Evan Schwartz (2011, Trade Paperback)
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-100821853686
ISBN-139780821853689
eBay Product ID (ePID)109065691
Product Key Features
Number of Pages312 Pages
LanguageEnglish
Publication NameMostly Surfaces
SubjectGeometry / Differential, Algebra / General, Geometry / Algebraic, Complex Analysis
Publication Year2011
TypeTextbook
Subject AreaMathematics
AuthorRichard Evan Schwartz
SeriesStudent Mathematical Library
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight14.1 Oz
Item Length8.3 in
Item Width5.8 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2011-005544
Dewey Edition22
Series Volume Number60
IllustratedYes
Dewey Decimal516.3/52
Table Of ContentBook overview; Definition of a surface; The gluing construction; The fundamental group; Examples of fundamental groups; Covering spaces and the deck group; Existence of universal covers; Euclidean geometry; Spherical geometry; Hyperbolic geometry; Riemann metrics on surfaces; Hyperbolic surfaces; A primer on complex analysis; Disk and plane rigidity; The Schwarz-Christoffel transformation; Riemann surfaces and uniformization; Flat cone surfaces; Translation surfaces and the Veech group; Continued fractions; Teichmuller space and moduli space; Topology of Teichmuller space; The Banach Tarski theorem; Dehn's dissection theorem; The Cauchy rigidity theorem; Bibliography; Index.
SynopsisTopics related to surfaces Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces and more., 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. It 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 is to present a tapestry of ideas in a clear and rigorous yet informal way., 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.
LC Classification NumberQA571.S385 2011
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