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Differential Geometry (Dover - Paperback, by Heinrich W. Guggenheimer - Good
US $6.41
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eBay item number:126469267926
Item specifics
- Condition
- Book Title
- Differential Geometry (Dover Books on Mathematics)
- ISBN
- 9780486634333
- Publication Name
- Differential Geometry
- Item Length
- 8.2in
- Publisher
- Dover Publications, Incorporated
- Series
- Dover Books on Mathematics Ser.
- Publication Year
- 1977
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.8in
- Item Width
- 5.6in
- Item Weight
- 14.5 Oz
- Number of Pages
- 378 Pages
About this product
Product Information
Designed for advanced undergraduate or beginning graduate study, this text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; and development of the method of integral formulas for global differential geometry.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486634337
ISBN-13
9780486634333
eBay Product ID (ePID)
882167
Product Key Features
Publication Name
Differential Geometry
Format
Trade Paperback
Language
English
Series
Dover Books on Mathematics Ser.
Publication Year
1977
Type
Textbook
Number of Pages
378 Pages
Dimensions
Item Length
8.2in
Item Height
0.8in
Item Width
5.6in
Item Weight
14.5 Oz
Additional Product Features
Lc Classification Number
Qa641.G8 1
Table of Content
PrefaceChapter 1. Elementary Differential Geometry 1-1 Curves 1-2 Vector and Matrix Functions 1-3 Some FormulasChapter 2. Curvature 2-1 Arc Length 2-2 The Moving Frame 2-3 The Circle of CurvatureChapter 3. Evolutes and Involutes 3-1 The Riemann-Stieltjès Integral 3-2 Involutes and Evolutes 3-3 Spiral Arcs 3-4 Congruence and Homothety 3-5 The Moving PlaneChapter 4. Calculus of Variations 4-1 Euler Equations 4-2 The Isoperimetric ProblemChapter 5. Introduction to Transformation Groups 5-1 Translations and Rotations 5-2 Affine TransformationsChapter 6. Lie Group Germs 6-1 Lie Group Germs and Lie Algebras 6-2 The Adjoint Representation 6-3 One-parameter SubgroupsChapter 7. Transformation Groups 7-1 Transformation Groups 7-2 Invariants 7-3 Affine Differential GeometryChapter 8. Space Curves 8-1 Space Curves in Euclidean Geometry 8-2 Ruled Surfaces 8-3 Space Curves in Affine GeometryChapter 9. Tensors 9-1 Dual Spaces 9-2 The Tensor Product 9-3 Exterior Calculus 9-4 Manifolds and Tensor FieldsChapter 10. Surfaces 10-1 Curvatures 10-2 Examples 10-3 Integration Theory 10-4 Mappings and Deformations 10-5 Closed Surfaces 10-6 Line CongruencesChapter 11. Inner Geometry of Surfaces 11-1 Geodesics 11-2 Clifford-Klein Surfaces 11-3 The Bonnet FormulaChapter 12. Affine Geometry of Surfaces 12-1 Frenet Formulas 12-2 Special Surfaces 12-3 Curves on a SurfaceChapter 13. Riemannian Geometry 13-1 Parallelism and Curvature 13-2 Geodesics 13-3 Subspaces 13-4 Groups of Motions 13-5 Integral TheoremsChapter 14. ConnectionsAnswers to Selected ExercisesIndex
Copyright Date
1977
Target Audience
College Audience
Topic
Geometry / Differential
Lccn
76-027496
Dewey Decimal
516.7
Dewey Edition
19
Illustrated
Yes
Genre
Mathematics
Item description from the seller
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eBay item number:126469267926
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