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Elementary Topics in Differential Geometry

John A. Thorpe
Publisher: 
Springer Verlag
Publication Date: 
1979
Number of Pages: 
276
Format: 
Hardcover
Series: 
Undergraduate Texts in Mathematics
Price: 
69.95
ISBN: 
0387903577
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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 Graphs and Level Sets.- Vector Fields.- The Tangent Space.- Surfaces.- Vector Fields on Surfaces; Orientation.- The Gauss Map.- Geodesics.- Parallel Transport.- The Weingarten Map.- Curvature of Plane Curves.- Arc Length and Line Integrals.- Curvature of Surfaces.- Convex Surfaces.- Parametrized Surfaces.- Local Equivalence of Surfaces and Parametrized Surfaces.- Focal Points.- Surface Area and Volume.- Minimal Surfaces.- The Exponential Map.- Surfaces with Boundary.- The Gauss-Bonnet Theorem.- Rigid Motions and Congruence.- Isometries.- Riemannian Metrics.

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