TY  - BOOK
AU  - Carmo,Manfredo Perdigao do
TI  - Differential Geometry of Curves and Surfaces
SN  - 0132125897
AV  - QA641 .C33 1976
PY  - 1976///
CY  - Englewood Cliffs, N.J.
PB  - Prentice-Hall
KW  - Geometry, Differential
KW  - Curves
KW  - Surfaces
N1  - "A free translation, with additional material, of a book and a set of notes, both published originally in Portuguese."; Includes bibliographical references and index; 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
N2  - 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
ER  -