Differential geometry of curves and surfaces

Author(s)

• Carmo, Manfredo Perdigão do

Bibliographic Information

Differential geometry of curves and surfaces

Manfredo P. do Carmo

Prentice-Hall, c1976

Note

"A free translation, with additional material, of a book and a set of notes, both published originally in Portuguese"

Includes bibliographical references (p. 471-473) and index

Description and Table of Contents

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

• NCID: BA00177488
• ISBN:
  • 0132125897
• LCCN: 75022094
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Englewood Cliffs, N.J.
• Pages/Volumes: viii, 503 p.
• Size: 24 cm
• Classification:
  • LCC : QA641
  • DC : 516/.36
  • NDC8 : 414.7
• Subject Headings:
  • LCSH : Geometry, Differential
  • LCSH : Curves
  • LCSH : Surfaces