Elementary topics in differential geometry
Author(s)
Bibliographic Information
Elementary topics in differential geometry
(Undergraduate texts in mathematics)
Springer-Verlag, c1979
- : us
- : gw
Available at / 111 libraries
-
Science and Technology Library, Kyushu University
: us414.7/Th 8031212009001568,
: gw068222480124415 -
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: usTHO||19||12507748
-
Hokkaido University of Education Sapporo Library
NDC8:410.8/UN/ELEM9110285544,
: us417.4/Th013022399 -
Hokkaido University, Faculty and Graduate School of Engineering図書
: usDC16:516.36/T3983520914297
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: usdc19:516.38/t3982021033542
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Note
Bibliography: p. 245
Includes indexes
Description and Table of Contents
- Volume
-
: us ISBN 9780387903576
Description
Table of Contents
- I Graphs and Level Sets.- 2 Vector Fields.- 3 The Tangent Space.- 4 Surfaces.- 5 Vector Fields on Surfaces
- Orientation.- 6 The Gauss Map.- 7 Geodesics.- 8 Parallel Transport.- 9 The Weingarten Map.- 10 Curvature of Plane Curves.- 11 Arc Length and Line Integrals.- 12 Curvature of Surfaces.- 13 Convex Surfaces.- 14 Parametrized Surfaces.- 15 Local Equivalence of Surfaces and Parametrized Surfaces.- 16 Focal Points.- 17 Surface Area and Volume.- 18 Minimal Surfaces.- 19 The Exponential Map.- 20 Surfaces with Boundary.- 21 The Gauss-Bonnet Theorem.- 22 Rigid Motions and Congruence.- 23 Isometries.- 24 Riemannian Metrics.- Notational Index.
- Volume
-
: gw ISBN 9783540903574
Description
Table of Contents
- 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.
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