Hyperbolic Geometry

James W. Anderson - Collection Springer Undergraduate Mathematics Series (SUMS)

288 pages, parution le 31/08/2005 (2^eme édition)

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Résumé

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.

Written for: Undergraduate students, lecturers

Sommaire

Preamble to the Second Edition
Preamble to the First Edition
The Basic Spaces
The General Möbius Group
Length and Distance in H
Planar Models of the Hyperbolic Plane
Convexity, Area and Trigonometry
Non-planar models
Solutions to Exercises
References;
List of Notation
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	James W. Anderson
Collection	Springer Undergraduate Mathematics Series (SUMS)
Parution	31/08/2005
Édition	2^eme édition
Nb. de pages	288
Format	17,5 x 23,5
Couverture	Broché
Poids	560g
Intérieur	Noir et Blanc
EAN13	9781852339340
ISBN13	978-1-85233-934-0