Book chapter
Change of Coordinates
Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 35-51
10 Aug 2013
Abstract
Tensor calculus achieves invariance by establishing rules for forming expressions that evaluate to the same value in all coordinate systems. In order to construct expressions that do not depend on the choice of coordinates, one must understand how individual elements transform under a change of coordinate. This chapter is therefore devoted to the study of coordinate changes and the corresponding changes in calculated quantities. Looking ahead, we discover that certain objects transform according to a special rule that makes it particularly easy to form invariant combinations. Such objects are called tensors.
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Details
- Title
- Change of Coordinates
- Creators
- Pavel Grinfeld - Drexel University
- Publication Details
- Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 35-51
- Publisher
- Springer New York; New York, NY
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991019312329904721