- #1
SMHPhysics
- 8
- 0
Hello everyone!
I just wanted to ask a question about how I should study for differential geometry. Now, as I have it, I've got a few suggestions for books, of which two stand out prominently:
1. John Lee's Introduction to smooth manifolds
2. De Carmo
Which one would be best for self study, bearing in mind that I'm at high school, although I do have familiarity with real analysis to the level of 'Calculus' by Spivak, linear algebra to the level of Georgi Shilov, and multivariable calculus as well, but little familiarity with sets and groups. So I suppose I am somewhat familiar with writing out proofs. By the way, I expect that both are mathematically rigorous, but also I want to see differential geometry in general relativity as well. If you have any other recommendations for books, by all means let me know.
Thank you!ALSO: PLEASE DO NOT HIJACK THIS THREAD!
I just wanted to ask a question about how I should study for differential geometry. Now, as I have it, I've got a few suggestions for books, of which two stand out prominently:
1. John Lee's Introduction to smooth manifolds
2. De Carmo
Which one would be best for self study, bearing in mind that I'm at high school, although I do have familiarity with real analysis to the level of 'Calculus' by Spivak, linear algebra to the level of Georgi Shilov, and multivariable calculus as well, but little familiarity with sets and groups. So I suppose I am somewhat familiar with writing out proofs. By the way, I expect that both are mathematically rigorous, but also I want to see differential geometry in general relativity as well. If you have any other recommendations for books, by all means let me know.
Thank you!ALSO: PLEASE DO NOT HIJACK THIS THREAD!