book chapter · Cambridge University Press eBooks · 2009
Cartesian Tensor Analysis
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Abstract
In this chapter we present an elementary introduction to Cartesian tensor analysis in a three-dimensional Euclidean point space or a two-dimensional subspace. A Euclidean point space is the space of position vectors of points. The term vector is used in the sense of classical vector analysis, and scalars and polar vectors are zeroth- and first-order tensors, respectively. The distinction between polar and axial vectors is discussed later in this chapter. A scalar is a single quantity that possesses magnitude and does not depend on any particular coordinate system, and a vector is a quantity that possesses both magnitude and direction and has components, with respect to a particular coordinate system, which transform in a definite manner under change of coordinate system. Also vectors obey the parallelogram law of addition. There are quantities that possess both magnitude and direction but are not vectors, for example, the angle of finite rotation of a rigid body about a fixed axis.
Cite this paper
(2009). Cartesian Tensor Analysis. Cambridge University Press eBooks, 1–49. https://doi.org/10.1017/cbo9780511805790.002
“Cartesian Tensor Analysis.” Cambridge University Press eBooks, 2009, pp. 1–49, https://doi.org/10.1017/cbo9780511805790.002.
2009. “Cartesian Tensor Analysis.” Cambridge University Press eBooks: 1–49. https://doi.org/10.1017/cbo9780511805790.002.
(2009) ‘Cartesian Tensor Analysis’, Cambridge University Press eBooks, pp. 1–49. Available at: https://doi.org/10.1017/cbo9780511805790.002.
@incollection{anon2009cartesian,
title = {{Cartesian Tensor Analysis}},
booktitle = {Cambridge University Press eBooks},
pages = {1--49},
year = {2009},
doi = {10.1017/cbo9780511805790.002}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.