Book chapter
Determinants and the Levi-Civita Symbol
Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 133-157
10 Aug 2013
Abstract
I have been looking forward to writing this chapter because we now get to use the machinery we have been constructing. And to what great effect! Tensor calculus is a fantastic language for determinants. The subject of determinants is beautiful and is too often obfuscated by cumbersome notation. Even some of the most fundamental properties of determinants can be difficult to follow without tensor notation. If you ever found the proof that the determinant of a product equals the product of determinants less than satisfying, you will find your satisfaction in this chapter.
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Details
- Title
- Determinants and the Levi-Civita Symbol
- Creators
- Pavel Grinfeld - Drexel University
- Publication Details
- Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 133-157
- Publisher
- Springer New York; New York, NY
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991019312330204721