Differential Geometry of Curves and Surfaces

Manfredo P.Do Carmo (Autor)

Buch | Softcover

503 Seiten

1976
Pearson (Verlag)
978-0-13-212589-5 (ISBN)

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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.

Erscheint lt. Verlag	1.3.1976
Zusatzinfo	illustrations
Sprache	englisch
Maße	154 x 236 mm
Gewicht	786 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-13-212589-7 / 0132125897
ISBN-13	978-0-13-212589-5 / 9780132125895
Zustand	Neuware