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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Maße
Höhe: 236 mm
Breite: 155 mm
Dicke: 31 mm
Gewicht
ISBN-13
978-0-13-212589-5 (9780132125895)
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Schweitzer Klassifikation
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.
