Geometry
Published on 15. April 1999
978-1-107-29929-0 (ISBN)
Description
This is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). 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.
This is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). 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.
This is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). 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.
Reviews / Votes
'This is a textbook that demonstrates the excitement and beauty of geometry ... richly illstrated and clearly written.' Extrait de L'Enseignement Mathematique ' ... this is a remarkable and nicely written introduction to classical geometry.' Zentralblatt MATH ' ... could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.' John Stone, The Times Higher Education Supplement'This is a textbook that demonstrates the excitement and beauty of geometry ... richly illstrated and clearly written.' Extrait de L'Enseignement Mathematique
' ... this is a remarkable and nicely written introduction to classical geometry.' Zentralblatt MATH
' ... could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.' John Stone, The Times Higher Education Supplement
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Illustrations
Worked examples or Exercises; 1 Tables, unspecified; 8 Halftones, unspecified; 614 Line drawings, unspecified
File size
47,86 MB
ISBN-13
978-1-107-29929-0 (9781107299290)
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Schweitzer Classification
Other editions
Additional editions
David A. Brannan | Matthew F. Esplen | Jeremy J. Gray
Geometry
Book
04/1999
Cambridge University Press
€42.09
Article exhausted; check for reprint
Persons
Content
Preface; Introduction; 1. Conics; 2. Affine geometry; 3. Projective geometry: lines; 4. Projective geometry: conics; 5. Inversive geometry; 6. Non-Euclidean geometry; 7. Spherical geometry; 8. The Kleinian view of geometry; Appendices; Index.
