Looking for Continuum Mechanics book using Einstein Notation

[moogull]

I'm taking a course in continuum mechanics this semester and the instructor is using a set of notes to teach out of it, problem is, I don't really like them. Can anyone recommend an engineering/applied physics oriented introductory continuum mechanics textbook that uses the Einstein summation convention (a repeated index once in subscript and once in superscript implies summation over that index)? Also, if anyone has a quick explanation of the advantages, if there are any, of Einstein notation over the (ordinary?) index notation I would like to know!

Thank you!

 

[Aaron Bex]

The best textbook recommendation for a course in continuum mechanics that uses the Einstein summation convention would be "Continuum Mechanics" by James R. Rice (ISBN: 978-0-19-508115-1). Rice's book provides a comprehensive introduction to the subject and its coverage of the Einstein summation convention is clear and thorough.

In terms of the advantages of Einstein notation, it allows you to write equations more efficiently and quickly. For example, if you have an equation involving multiple indices, you can use the summation convention to replace each index with a single symbol, thus making the equation easier to read. Additionally, it gives you a concise way to express equations with multiple indices without having to repeat them over and over again. Finally, it allows you to more easily identify terms that are the same but with different indices, which can help simplify equations and make them easier to solve.