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Introduction: Vectors and Tensors

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Part of the book series:Undergraduate Texts in Mathematics ((UTM))

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Abstract

This little book is about tensor analysis, as Einstein’s philosophers’ stone, the absolute differential calculus, is called nowadays. I have written it, though, with an eye not toward general relativity, but tocontinuum mechanics, a more modest theory that attempts to predict the gross behavior of “the masses of matter we see and use from day to day: air, water, earth, flesh, wood, stone, steel, concrete, glass, rubber,....”2

The magic of this theory will hardly fail to impose itself on anybody who has truly understood it; it represents a genuine triumph of the method of absolute differential calculus, founded by Gauss, Riemann, Christoffel, Ricci and Levi-Civita.1

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Authors and Affiliations

  1. Department of Applied Mathematics and Computer Science Thornton Hall, University of Virginia, Charlottesville, VA, 22901, USA

    James G. Simmonds

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  1. James G. Simmonds

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© 1982 Springer-Verlag New York Inc.

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Simmonds, J.G. (1982). Introduction: Vectors and Tensors. In: A Brief on Tensor Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0141-7_1

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