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Determinants and the Levi-Civita Symbol

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

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  • Pavel Grinfeld

    (Drexel University, Department of Mathematics)

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.

Suggested Citation

  • Pavel Grinfeld, 2013. "Determinants and the Levi-Civita Symbol," Springer Books, in: Introduction to Tensor Analysis and the Calculus of Moving Surfaces, edition 127, chapter 0, pages 133-157, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7867-6_9
    DOI: 10.1007/978-1-4614-7867-6_9
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