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Functional and Structured Tensor Analysis for Engineers [Draft]

Functional and Structured Tensor Analysis for Engineers [Draft]

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Functional and Structured Tensor Analysis for Engineers [Draft]

Functional and Structured Tensor Analysis for Engineers [Draft] Summary:

  Functional and Structured Tensor Analysis for Engineers
A casual (intuition-based) introduction to vector and tensor analysis with
reviews of popular notations used in contemporary materials modeling
R. M. Brannon UNM BOOK DRAFT
September 4, 2003 5:21 pm Elementary vector and tensor analysis concepts are reviewed in a manner that
proves useful for higher-order tensor analysis of anisotropic media. In addition
to reviewing basic matrix and vector analysis, the concept of a tensor is covered
by reviewing and contrasting numerous different definition one might see
in the literature for the term “tensor.” Basic vector and tensor operations are
provided, as well as some lesser-known operations that are useful in materials
modeling. Considerable space is devoted to “philosophical” discussions about
relative merits of the many (often conflicting) tensor notation systems in popular
use.  

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