3
$\begingroup$

This question already has an answer here:

I am really confused about the use of tensors in special relativity. I'm not sure if I understood what is a covariant and a contravariant tensor and vector. I am looking for a book of relativity that teach this.

$\endgroup$

Before answering, please see our policy on resource recommendation questions. Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource. Explain the nature of the resource so that readers can decide which one is best suited for them rather than relying on the opinions of others. Answers containing only a reference to a book or paper will be removed!

marked as duplicate by Kyle Kanos, Ben Crowell, John Rennie special-relativity May 10 at 16:39

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

5
$\begingroup$

Schutz's A First Course in General Relativity does a good job about tensors and relativity in the first few chapters.

He has another book dedicated to specifically the mathematics, but its title slips my mind. If its as good as those briefer chapters, you won't go wrong.

A more thorough treatment of the mathematics can be found in Tensors, Differential Forms, and Variational Principles

$\endgroup$
  • 1
    $\begingroup$ Great recommendation. Lovelock and Rund have done a good job $\endgroup$ – Cryo May 10 at 21:41
3
$\begingroup$

Almost all the standard books on general relativity include a section on tensors and special relativity.

Only for tensor calculus:

  • Schaum's Outline of Tensor Calculus: A textbook by David Kay covers all fundamental concepts along with 300+ fully worked problems and solutions. This can be supplemented with standard textbooks.

  • Introduction to Tensor Calculus: Freely available on arXiv. This can be used as a short reference for an introductory course on tensor algebra and calculus.

$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.