MARC状态：已编 文献类型：西文图书 浏览次数：22
- 题名/责任者:
- Geometry David A. Brannan, Matthew F. Esplen, Jeremy J. Gray.
- 版本说明:
- 2nd ed.
- 出版发行项:
- Cambridge ; New York : Cambridge University Press, 2012.
- ISBN:
- 9781139200653
- ISBN:
- 9781107647831
- 载体形态项:
- 1 online resource (xiv, 587 p.) : ill.
- 个人责任者:
- Brannan, D. A.
- 附加个人名称:
- Esplen, Matthew F.
- 附加个人名称:
- Gray, Jeremy, 1947-
- 论题主题:
- Geometry.
- 中图法分类号:
- O185
- 一般附注:
- Descriptionbasedonprintversionrecord.
- 书目附注:
- Includes bibliographical resources and index.
- 内容附注:
- Machine generated contents note: Preface; Introduction: geometry and geometries; 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; Special symbols; Further reading; Appendix 1. A primer of group theory; Appendix 2. A primer of vectors and vector spaces; Appendix 3. Solutions to the problems; Index.
- 摘要附注:
- "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. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831"--
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