Modern differential geometry of curves and surfaces with Mathematica.
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| Author / Creator: | Gray, Alfred, 1939-1998 |
|---|---|
| Edition: | 3rd ed. / Alfred Gray, Elsa Abbena, and Simon Salamon. |
| Imprint: | Boca Raton : Chapman & Hall CRC, 2006. |
| Description: | 984 p. : ill. ; 27 cm. |
| Language: | English |
| Series: | Studies in advanced mathematics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6014195 |
Table of Contents:
- 1. Curves in the plane
- 2. Famous plane curves
- 3. Alternative ways of plotting curves
- 4. New curves from old
- 5. Determining a plane curve from its curvature
- 6. Global properties of plane curves
- 7. Curves in space
- 8. Construction of space curves
- 9. Calculus on Euclidean space
- 10. Surfaces in Euclidean space
- 11. Nonorientable surfaces
- 12. Metrics on surfaces
- 13. Shape and curvature
- 14. Ruled surfaces
- 15. Surfaces of revolution and constant curvature
- 16. A selection of minimal surfaces
- 17. Intrinsic surface geometry
- 18. Asymptotic curves and geodesics on surfaces
- 19. Principal curves and umbilic points
- 20. Canal surfaces and cyclides of dupin
- 21. The theory of surfaces of constant negative curvature
- 22. Minimal surfaces via complex variables
- 23. Rotation and animation using quaternions
- 24. Differentiable manifolds
- 25. Riemannian manifolds
- 26. Abstract surfaces and their geodesics
- 27. The Gauss-Bonnet theorem.
