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Tensor Analysis

In: Tensor Analysis and Nonlinear Tensor Functions

Author

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  • Yu. I. Dimitrienko

    (Bauman Moscow State Technical University)

Abstract

Most laws of physics and mechanics are expressed with the help of differential relationships between tensor values. Since these laws must be objective, i.e. they must not depend on the choice of a coordinate system, so differentiation of tensors must take this feature into account. However, the usual partial derivatives of tensor components are not components of a tensor, therefore the operation of special covariant differentiation should be introduced for tensors, and the present chapter is devoted to this.

Suggested Citation

  • Yu. I. Dimitrienko, 2002. "Tensor Analysis," Springer Books, in: Tensor Analysis and Nonlinear Tensor Functions, chapter 0, pages 347-384, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-3221-5_6
    DOI: 10.1007/978-94-017-3221-5_6
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