Introduction to tensor analysis and the calculus of moving surfaces
This text is meant to deepen its readers understanding of vector calculus, differential geometry and related subjects in applied mathematics. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the pris...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
New York, NY :
Springer New York
2013.
Cham : Springer Nature |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to tensor analysis and the calculus of moving surfaces, Pavel Grinfeld, 2013, New York, Springer, 1 vol. (XIII-302 p.), 1-461-47866-9 • Introduction to Tensor Analysis and the Calculus of Moving Surfaces, Texte imprimé, 9781461478683 • Introduction to Tensor Analysis and the Calculus of Moving Surfaces, Texte imprimé, 9781493955053 |
İçindekiler:
- Preface
- Why Tensor Calculus?
- 1. Rules of the Game
- 2. Coordinate Systems and the Role of Tensor Calculus
- 3. Change of Coordinates
- 4. Tensor Description of Euclidean Spaces
- 5. The Tensor Property
- 6. Covariant Differentiation
- 7. Determinants and the Levi-Civita Symbol
- 8. Tensor Description of Surfaces
- 9. Covariant Derivative of Tensors with Surface Indices
- 10. The Curvature Tensor
- 11. Covariant Derivative of Tensors with Spatial Indices
- 12. Integration and Gauss's Theorem
- 13. Intrinsic Features of Embedded Surfaces
- 14. Further Topics in Differential Geometry
- 15. Classical Problems in the Calculus of Variations
- 16. Equations of Classical Mechanics
- 17. Equations of Continuum Mechanics
- 18. Einstein's Theory of Relativity
- 19. The Rules of Calculus of Moving Surfaces
- 20. Applications of the Calculus of Moving Surfaces.