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The Tensor Property

In: Introduction to Tensor Analysis and the Calculus of Moving Surfaces

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  • Pavel Grinfeld

    (Drexel University, Department of Mathematics)

Abstract

In this chapter we get down to the business of tensors. We introduce the concept of a variant and define tensors as variants that transform from one coordinate system to another by a very special rule. We define covariance and contravariance and demonstrate how these opposite modes of transformation under a change of coordinates lead to the main goal of tensor calculus: invariance.

Suggested Citation

  • Pavel Grinfeld, 2013. "The Tensor Property," Springer Books, in: Introduction to Tensor Analysis and the Calculus of Moving Surfaces, edition 127, chapter 0, pages 75-92, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4614-7867-6_6
    DOI: 10.1007/978-1-4614-7867-6_6
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