Exploring Curvature / by James Casey
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Wiesbaden : Vieweg+Teubner Verlag |
| 出版年 | 1996 |
| 本文言語 | 英語 |
| 大きさ | XVI, 291p : online resource |
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| 内容注記 | 1. The Evolution of Geometry 2. Basic Operations 3. Intersecting with a Closed Ball 4. Mappings 5. Preserving Closeness: Continuous Mappings 6. Keeping Track of Magnitude, Direction and Sense: Vectors 7. Curves 8. Arc Length 9. Tangent 10. Curvature of Curves 11. Surfaces 12. Surface Measurements 13. Intrinsic Geometry of a Surface 14. Gauss (1777–1855) 15. Normal Sections 16. Gaussian Curvature 17. Riemann (1826–1866) 18. Levi-Civita (1873–1941) 19. Parallel Transport of a Vector on a Surface 20. Geodesics 21. Geometry and Reality |
|---|---|
| 一般注記 | This introductory book, which is intuitive and exploratory in nature, is intended as a bridge between Euclid's geometry and the modern geometry of curved spaces. It is organized around a collection of simple experiments which the reader can perform at home or in a classroom setting. Methods for physically exploring the intrinsic geometry of commonplace curved objects (such as bowls, balls and watermelons) are described. The concepts of Gaussian curvature, parallel transport, and geodesics are treated. The book also contains biographical chapters on Gauss, Riemann, and Levi- Civita |
| 著者標目 | *Casey, James author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Geometry FREE:Mathematics FREE:Geometry FREE:Mathematics, general |
| 分 類 | DC23:516 |
| 巻冊次 | ISBN:9783322802743 
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| ISBN | 9783322802743 |
| URL | http://dx.doi.org/10.1007/978-3-322-80274-3 |
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