MARC状态：已编 文献类型：西文图书 浏览次数：17
- 题名/责任者:
- Geometries and transformations / Norman W. Johnson, Wheaton College.
- 出版发行项:
- Cambridge, United Kingdom : Cambridge University Press, 2017.
- 出版发行项:
- 漏2016
- ISBN:
- 9781108133630
- ISBN:
- 9781107103405
- 载体形态项:
- 1 online resource (1 volume)
- 个人责任者:
- Johnson, Norman W., 1930- author.
- 论题主题:
- Geometry-Textbooks.
- 中图法分类号:
- O181
- 一般附注:
- Description based on print version record.
- 书目附注:
- Includes bibliographical references and index.
- 内容附注:
- Machine generated contents note: Introduction; 1. Homogenous spaces; 2. Linear geometries; 3. Circular geometries; 4. Real collineation groups; 5. Equiareal collineations; 6. Real isometry groups; 7. Complex spaces; 8. Complex collineation groups; 9. Circularities and concatenations; 10. Unitary isometry groups; 11. Finite symmetry groups; 12. Euclidean symmetry groups; 13. Hyperbolic coxeter groups; 14. Modular transformations; 15. Quaternionic modular groups.
- 摘要附注:
- "Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed"--
- 随书光盘:
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