Geometry

Matthew F. Esplen, Jeremy J. Gray, David A. Brannan

498 pages, parution le 01/06/1998

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Résumé

This is a textbook that demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed. This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study.

Contents

Preface 0
Introduction: Geometry and Geometries 1
1 Conics 5
2 Affine Geometry 45
3 Projective Geometry: Lines 94
4 Projective Geometry: Conics 151
5 Inversive Geometry 199
6 Non-Euclidean Geometry 261
7 Spherical Geometry 327
8 The Kleinian View of Geometry 360
App. 1 A Primer of Group Theory 375
App. 2 A Primer of Vectors and Vector Spaces 377
App. 3 Solutions to the Problems 383
Index 495

L'auteur - Jeremy J. Gray

Chargé de cours Open University

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Matthew F. Esplen, Jeremy J. Gray, David A. Brannan
Parution	01/06/1998
Nb. de pages	498
Couverture	Broché
Intérieur	Noir et Blanc
EAN13	9780521597876
ISBN13	978-0-521-59787-6