Addison-Wesley / Prentice Hall

Mathematics

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Differential Geometry of Curves and Surfaces
Manfredo DoCarmo, Instituto de Matematica Pura e Aplicada

ISBN-10: 0132125897
ISBN-13: 9780132125895

Publisher: Prentice Hall
Copyright: 1976
Format: Cloth; 503 pp
Published: 02/01/1976

Suggested retail price: $132.80
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This volume covers local as well as global differential geometry of curves and surfaces.

  • makes extensive use of elementary linear algebra — with emphasis on basic geometrical facts rather than on machinery or random details.
  • stresses the basic ideas of differential geometry — regular surfaces, the Gauss map, covariant derivatives.
  • includes a large number of fully-worked examples.



1. Curves: Parametrized Curves.


2. Regular Surfaces: Regular Surfaces; Inverse Images of Regular Values.


3. Geometry of the Gauss Map: Definition of the Gauss Map and Its Fundamental Properties.


4. Intrinsic Geometry of Surfaces: Isometrics; Conformal Maps.


5. Global Differential Geometry: Rigidity of the Sphere.

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