Thorpe, John A.
Elementary topics in differential geometry / John A. Thorpe.
— New York : Springer-Verlag, c1979. xiii, 253 p. : il. ; 24 cm. — (Undergraduate texts in mathematics)
Incluye índices y bibliografía: p. 245.
Contenido: 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.
ISBN 0387903577 (USA). — ISBN 3540903577 (Alemania)
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