Differential geometry of curves and surfaces
Author(s)
Bibliographic Information
Differential geometry of curves and surfaces
Prentice-Hall, c1976
Available at / 103 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc19:516.7/c2132020907514
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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"
