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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Publisher: 
Springer
Number of Pages: 
302
Price: 
69.99
ISBN: 
9781461478669
Date Received: 
Tuesday, October 22, 2013
Reviewable: 
No
Include In BLL Rating: 
No
Pavel Grinfeld
Publication Date: 
2013
Format: 
Hardcover
Category: 
Textbook

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.

Publish Book: 
Modify Date: 
Tuesday, October 22, 2013

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