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OverviewThe geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This second edition of Hyperbolic Geometry has been thoroughly rewritten and updated. Chapter 4 focuses on planar models of hyperbolic plane that arise from complex analysis and looks at the connections between planar hyperbolic geometry and complex analysis.However most of the new material will appear in Chapter 6 and concentrates on an introduction to the hyperboloid model of the hyperbolic plane. The chapter concludes with a discussion of hyperbolic geometry in higher dimensions, and generalizations of hyperbolicity (this, in particular, is an important topic that allows for an in-depth development of the fundamental concepts). This book is written primarily for third or fourth year undergraduate students with some calculus knowledge. It contains new exercises with solutions and is ideal for self-study or as a classroom text. Full Product DetailsAuthor: James W. AndersonPublisher: Springer London Ltd Imprint: Springer London Ltd Edition: 2nd ed. 2005 Dimensions: Width: 17.80cm , Height: 1.50cm , Length: 25.40cm Weight: 1.130kg ISBN: 9781852339340ISBN 10: 1852339349 Pages: 276 Publication Date: 23 August 2005 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsThe Basic Spaces.- The General Möbius Group.- Length and Distance in ?.- Planar Models of the Hyperbolic Plane.- Convexity, Area, and Trigonometry.- Nonplanar models.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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