Elementary topics in differential geometry /
Guardado en:
| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Springer-Verlag,
c1979.
|
| Series: | Undergraduate texts in mathematics
|
| Etiquetas: |
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| LEADER | 01407pam a2200229 a 4500 | ||
|---|---|---|---|
| 001 | MAT.inmabb002804 | ||
| 008 | 781003s1979####nyua#####b####001#0#eng## | ||
| 005 | 20130304165643.0 | ||
| 245 | 1 | 0 | |a Elementary topics in differential geometry / |c John A. Thorpe. |
| 260 | |a New York : |b Springer-Verlag, |c c1979. | ||
| 300 | |a xiii, 253 p. : |b il. ; |c 24 cm. | ||
| 440 | 0 | |a Undergraduate texts in mathematics | |
| 504 | |a Incluye índices y bibliografía: p. 245. | ||
| 505 | 0 | |a 1. Graphs and level sets -- 2. Vector fields -- 3. The tangent space -- 4. Surfaces -- 5. Vector fields on surfaces; orientation -- 6. The Gauss map -- 7. Geodesics -- 8. Parallel transport -- 9. The Weingarten map -- 10. Curvature of plane curves -- 11. Arc length and line integrals -- 12. Curvature of surfaces -- 13. Convex surfaces -- 14. Parametrized surfaces -- 15. Local equivalence of surfaces and parametrized surfaces -- 16. Focal points -- 17. Surface area and volume -- 18. Minimal surfaces -- 19. The exponential map -- 20. Surfaces with boundary -- 21. The Gauss-Bonnet theorem -- 22. Rigid motions and congruence -- 23. Isometries -- 24. Riemannian metrics. | |
| 510 | 4 | |a MR, |c 80e:53001 | |
| 020 | |a 0387903577 (USA) | ||
| 020 | |a 3540903577 (Alemania) | ||
| 100 | 1 | |a Thorpe, John A. | |
| 084 | |a 53-01 (53A04 53A05 53A10) |2 msc2000 | ||
| 010 | |a 78023308 | ||
| 040 | |a DLC |c DLC |d DLC | ||
| 859 | |h 53 |i T518 |p A-8038 |b BIB. MATEMATICA | ||