Geometry 2/e
售價
$
1,500
- 一般書籍
- ISBN：9781107647831
- 作者：David A. Brannan, Matthew F. Esplen, Jeremy J. Gray
- 版次：2
- 年份：2012
- 出版商：Cambridge University
- 頁數/規格：587頁/平裝單色
- 參考網頁：Geometry 2/e
書籍介紹
本書特色
目錄
作者介紹
Description
This richly illustrated and clearly written undergraduate textbook captures 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 the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results.
This richly illustrated and clearly written undergraduate textbook captures 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 the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results.
Features
- Students respond to the authors' modern, easy-to-read writing style
- Assumes basic knowledge of group theory and linear algebra but a rapid review of both topics is given in appendices
- Historical notes, teaching comments and diagrams feature in the margins
Table of Contents
1. Conics
2. Affine geometry
3. Projective geometry: lines
4. Projective geometry: conics
5. Inversive geometry
6. Hyperbolic geometry: the disc model
7. Elliptic geometry: the spherical model
8. The Kleinian view of geometry
1. Conics
2. Affine geometry
3. Projective geometry: lines
4. Projective geometry: conics
5. Inversive geometry
6. Hyperbolic geometry: the disc model
7. Elliptic geometry: the spherical model
8. The Kleinian view of geometry
David A. Brannan, The Open University, Milton Keynes
Matthew F. Esplen, The Open University, Milton Keynes
Jeremy J. Gray, The Open University, Milton Keynes
Matthew F. Esplen, The Open University, Milton Keynes
Jeremy J. Gray, The Open University, Milton Keynes
