Book chapter
The Tensor Property
Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 75-92
10 Aug 2013
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.
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Details
- Title
- The Tensor Property
- Creators
- Pavel Grinfeld - Drexel University
- Publication Details
- Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 75-92
- Publisher
- Springer New York; New York, NY
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991019312320304721