About this product

Product Identifiers

PublisherSpringer London, The Limited

ISBN-101852339349

ISBN-139781852339340

eBay Product ID (ePID)46476747

Product Key Features

Number of PagesXii, 276 Pages

Publication NameHyperbolic Geometry

LanguageEnglish

SubjectGeometry / Non-Euclidean, Geometry / General, General

Publication Year2005

FeaturesRevised

TypeTextbook

Subject AreaMathematics

AuthorJames W. Anderson

SeriesSpringer Undergraduate Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Weight39.9 Oz

Item Length10 in

Item Width7 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN2005-923338

Dewey Edition22

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal516.9

Edition DescriptionRevised edition

Table Of ContentThe Basic Spaces.- The General Möbius Group.- Length and Distance in '.- Planar Models of the Hyperbolic Plane.- Convexity, Area, and Trigonometry.- Nonplanar models.

SynopsisThe geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. This updated second edition also features: an expanded discussion of planar models of the hyperbolic plane arising from complex analysis; the hyperboloid model of the hyperbolic plane; a brief discussion of generalizations to higher dimensions; many newexercises., Thoroughly updated, featuring new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity Includes full solutions for all exercises Successful first edition sold over 800 copies in North America, This introductory text explores and develops the basic notions of geometry on the hyperbolic plane. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincar disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. Coverage provides readers with a firm grasp of the concepts and techniques of this beautiful area of mathematics.

LC Classification NumberQA440-699