Books on Tensor Algebra: Good Reading Material Sources

[Noblee]

Does anyone know any good reading material on Tensor Algebra? Cannot seem to find good book about it.

Thanks

Also, I apologise if I post this in the wrong section.

 

[Rasalhague]

Here's a good starting point:

Bowen & Wang: Introduction to Vectors and Tensors, Vol I, Vol II.

It doesn't really assume any background, so you can jump in wherever you feel comfortable.

I also like Bishop & Goldberg: Tensor Analysis on Manifolds. The blurb says, "A student with a background of advanced calculus and elementary differential equations could readily undertake the study of this book."

 

[Noblee]

Thanks, "Tensor Analysis on Manifolds" seems to explain it in a good manner. If I got the general picture correctly, it abstracts the concept of vectors in a similar manner as vectors abstracts the concept of scalars, which in all fairness makes a lot of sense.

 

[genericusrnme]

Here's a good starting point:

Bowen & Wang: Introduction to Vectors and Tensors, Vol I, Vol II.

It doesn't really assume any background, so you can jump in wherever you feel comfortable.

I also like Bishop & Goldberg: Tensor Analysis on Manifolds. The blurb says, "A student with a background of advanced calculus and elementary differential equations could readily undertake the study of this book."

Two textbooks that are free!?
And one that's under £10?

My god

 

[rezeew]

I understand the importance of finding reliable and informative reading materials on a specific topic. Tensor algebra is a complex subject and it can be challenging to find a good book on it. However, there are some excellent resources available that can provide a thorough understanding of tensor algebra.

One highly recommended book on tensor algebra is "Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers" by Hung Nguyen-Schäfer. This book covers the basics of tensor algebra and its applications in physics and engineering. It also includes exercises and solutions to help readers practice and understand the concepts better.

Another great resource is "Introduction to Tensor Calculus, Relativity and Cosmology" by Derek F. Lawden. This book provides a comprehensive introduction to tensor algebra and its applications in physics, particularly in relativity and cosmology. It also includes exercises and solutions to help readers gain a deeper understanding of the subject.

Other recommended books on tensor algebra include "Tensor Analysis: Theory and Applications" by I. S. Sokolnikoff and R. M. Redheffer, and "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" by Pavel Grinfeld.

In addition to books, there are also many online resources available, such as lecture notes and video lectures, that can be helpful in learning tensor algebra. Some universities also offer online courses on the subject.

I hope these suggestions help in your search for good reading material on tensor algebra. It is a fascinating and important topic, and with dedication and the right resources, one can gain a solid understanding of it.