Change of Coordinates

Pavel Grinfeld
Additional contact information
Pavel Grinfeld: Drexel University, Department of Mathematics

Chapter Chapter 4 in Introduction to Tensor Analysis and the Calculus of Moving Surfaces, 2013, pp 35-51 from Springer

Abstract: 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.

Keywords: Coordinate Change; Liver Index; Tensor Notation; Dummy Indices; Functional Arguments (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7867-6_4

Ordering information: This item can be ordered from
http://www.springer.com/9781461478676

DOI: 10.1007/978-1-4614-7867-6_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().