Carmo, Manfredo Perdigao do. <br/><br/>
Differential Geometry of Curves and Surfaces / 
Manfredo P. do Carmo. 
 - Englewood Cliffs, N.J. :  Prentice-Hall,  c1976. 
 - viii, 503 p. :  ill. ;  24 cm. 
<br/><br/> "A free translation, with additional material, of a book and a set of notes, both published originally in Portuguese." 
<br/><br/>Includes bibliographical references and index. 
<br/><br/>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. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>0132125897 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Geometry, Differential.<br/>Curves.<br/>Surfaces.
<br/><br/><label>LC Class. No.: </label>QA641  / .C33 1976