Differential geometry of curves and surfaces / Manfredo P. do Carmo.
By: Carmo, Manfredo Perdigão do
.
Material type: 
BookPublisher: Englewood Cliffs, N.J. : Prentice-Hall, c1976Description: viii, 503 p. : ill. ; 24 cm.ISBN: 0132125897 .Subject(s): Geometry, Differential | Curves | SurfacesDDC classification: 516.36 | Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
| General Lending | MTU Bishopstown Library Lending | 516.36 (Browse shelf(Opens below)) | 1 | Available | 00018850 |
Enhanced descriptions from Syndetics:
This volume covers local as well as global differential geometry of curves and surfaces.
"A free translation, with additional material, of a book and a set of notes, both published originally in Portuguese."
Bibliography: (pages 471-473) and index.
Curves -- Regular surfaces -- The geometry of the Gauss map -- The intrinsic geometry of surfaces -- Global differential geometry.
Table of contents provided by Syndetics
- 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