文档介绍：UNM BOOK DRAFT
September 4, 2003 5:21 pm
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
University of New Mexico, Albuquerque
Copyright is reserved.
Individual copies may be made for personal use.
No part of this document may be reproduced for profit.
Contact author at ******@
NOTE: When using Adobe’s “acrobat reader” to view this
document, the page numbers in acrobat will not coincide
with the page numbers shown at the bottom of each page
of this document.
Note to draft readers: The most useful textbooks are
the ones with fantastic indexes. The book’s index is
rather new and still under construction.
It would really help if you all could send me a note
whenever you discover that an important entry is miss-
ing from this index. I’ll be sure to add it.
This work is munity effort. Let’s try to make this
document helpful to others.
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
a M. Brannon†
†University of New Mexico Adjunct professor
******@
Abstract
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 cov-
ered 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 popu-