Why is Schouten's book on tensor analysis not recommended for physicists?

[uiulic]

"Introduction to vector analysis" (Harry F. Davis, 1961) page 284 says:


"Tensor analysis for physicists by J.A.Schouten 1951" is not intended so much for physicists as for applied mathematicians. This author knows of no book on tensor analysis written in a modern style for pure mathematicians."

I am reading Davis's book at the moment (its vector part is very good), which only talks about tenosr in about two pages. Why did Davis criticize Schouten (a famous physicist? but I did not read his book) so seriously?

GG

 

[robphy]

Schouten was a mathematician who was interested in physics... but I don't think he is considered a physicist.

I know of Schouten (and have read his Tensor Analysis for Physicists and parts of his Ricci Calculus and some of his papers)... but not of Davis... although I'm sure I have seen the Davis book in passing.

 

[tacman]

GGG

There are a few reasons why Schouten's book on tensor analysis may not be recommended for physicists. Firstly, as Davis mentions, Schouten's book is geared towards applied mathematicians rather than physicists. This means that it may not cover the specific applications and examples that physicists are interested in.

Additionally, Schouten's book was written in 1951, which means it may not cover more recent developments and advancements in tensor analysis that are relevant to physicists. Physics is a constantly evolving field, and it is important for physicists to have access to the most up-to-date resources.

Furthermore, as Davis notes, there were no other books at the time written in a modern style for pure mathematicians. This could mean that Schouten's book may not be as accessible or easy to understand for physicists who may not have as strong of a background in mathematics.

Finally, it is important to note that Davis's criticism of Schouten's book is not meant to discredit Schouten's work or expertise as a physicist. It simply highlights that Schouten's book may not be the most suitable resource for physicists specifically looking to learn about tensor analysis.