As a follow-up, I was wondering where the subject of topology would fit in with the topics listed above. Unless I'm mistaken, I believe differential topology and concepts relating to manifolds are also involved in General Relativity. Please let me know if this is an area you would also recommend I study. Thank you.

truth be told, I find your intention staggering. The scope of your list is too comprehensive. Manifolds must be useful in your quest of course, but somehow I feel that by the time you up along your list, you'll be able to pass a better judgement whether or how much of the manifolds you need.

As the General Relativity was Einstein's attempt at a unified field theory, which since took up a radically different direction, your quest should eventually lead you to the string theory so that other branches of math would become relevant.

I am just incapable of seeing that far.

email me for some good links

jman_red

Thank you for the suggestion. From my understanding, differential geometry is a relatively advanced area of mathematics. What subjects would you suggest I study first as prerequisit's to understanding Schultz' book?

NJZ