Abstract
Tensors are geometric entities that provide concise mathematical frameworks for formulating problems in physics and engineering. The most important feature of tensors is their coordinate invariance: tensors are independent of the type of coordinate AQ1 system chosen. This feature is similar to the condition that the length and direction of a geometric figure do not change, regardless of the coordinate system used for the algebraic expression. In contrast, the components of a tensor are coordinate-dependent in a structured routine. In this chapter, we discuss the ways in which the choice of a coordinate system affects the components of a tensor.
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© 2009 Springer-Verlag Berlin Heidelberg
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Shima, H., Nakayama, T. (2009). Cartesian Tensors. In: Higher Mathematics for Physics and Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/b138494_18
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DOI: https://doi.org/10.1007/b138494_18
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87863-6
Online ISBN: 978-3-540-87864-3
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