Differential Geometry of Curves and Surfaces /
Carmo, Manfredo Perdigao do.
Differential Geometry of Curves and Surfaces / Manfredo P. do Carmo. - Englewood Cliffs, N.J. : Prentice-Hall, c1976. - viii, 503 p. : ill. ; 24 cm.
"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.
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.
0132125897
Geometry, Differential.
Curves.
Surfaces.
QA641 / .C33 1976
Differential Geometry of Curves and Surfaces / Manfredo P. do Carmo. - Englewood Cliffs, N.J. : Prentice-Hall, c1976. - viii, 503 p. : ill. ; 24 cm.
"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.
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.
0132125897
Geometry, Differential.
Curves.
Surfaces.
QA641 / .C33 1976