ENGLISH

Hyperbolic Geometry

By James W. Anderson

Book information

Publisher
Springer
Year
2005
ISBN
1852339349, 9781852339340
Language
english
Format
PDF
Filesize
2 MB (2335128 bytes)
Series
Springer Undergraduate Mathematics Series
Edition
2nd
Pages
282\282
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

The 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.

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