Author | Casey, James. author |
---|---|
Title | Exploring Curvature [electronic resource] / by James Casey |
Imprint | Wiesbaden : Vieweg+Teubner Verlag, 1996 |
Connect to | http://dx.doi.org/10.1007/978-3-322-80274-3 |
Descript | XVI, 291p. online resource |
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 (1777โ1855) -- 15. Normal Sections -- 16. Gaussian Curvature -- 17. Riemann (1826โ1866) -- 18. Levi-Civita (1873โ1941) -- 19. Parallel Transport of a Vector on a Surface -- 20. Geodesics -- 21. Geometry and Reality