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I want to choose a book on Tensor Analysis

Tensor analysis is a very useful tool for continuum mechanics as well as other courses. I wonder which book is best for me. 

I have background of anvanced mathematics, linear algebra.  The book should be comprehensible.

yawlou's picture

Hello,

It is not easy to know which book is best, at least in my experience, since it depends on you which book will make the most sense.  In my experience learning tensor analysis takes time and practice, and I'm still definitely learning.

Here are some books you may consider:

1.  James G. Simmonds, "A Brief on tensor analysis", Springer-Verlag, 2nd edition, 1994.

2.  A. I. Borisenko and I. E. Tarapov, "Vector and Tensor Analysis with applications", Dover, 1979.

3.  James K. Knowles, "Linear Vector Spaces and Cartesian Tensors", Oxford University Press, 1998.

4.  I. S. Sokolnikoff, "Tensor Analysis - Theory and Applications to Geometry and Mechanics of Continua", Wiley, 2nd edition, 1964.

5.  Here is a short introduction, free on the internet http://samizdat.mines.edu/tensors/ShR6b.pdf

The items 1,2 and 5 are more introductory.  Items 3 and 4 are perhaps more advanced, but are within reach.

regards,

Louie

 

oafak's picture

An excellent free book is at this address

http://www.math.odu.edu/~jhh/counter2.html

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