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Author Thorpe, John A., author

Title Elementary topics in differential geometry / John A. Thorpe
Published New York : Springer-Verlag, [1979]


Location Call no. Vol. Availability
Description xiii, 253 pages ; 24 cm
Series Undergraduate texts in mathematics
Undergraduate texts in mathematics.
Contents 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
Notes Includes indexes
Bibliography Bibliography: page 245
Subject Geometry, Differential.
LC no. 78023308
ISBN 0387903577 (New York)
3540903577 (Berlin)