Timeline for Reading list for basic differential geometry?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Dec 7, 2022 at 0:33 | comment | added | Jim Stasheff | Yuri Rainich: The last thing you want to do is express in coordinates. Double entendre I'm sure. I REALLY have to disagree about local coordinates. Its really hard to understand the coordinate free aspects without understanding how differential geometry works in Euclidean space first. Secondly-you'll be incapable of speaking to physicists without understanding coordinates and general tensors Surely y0u don't mean: A vector IS an n-tuple that transforms like... I agree about speaking to physicists (sadly) but that means learning a foreign language: centipede tensor calculus. | |
| Feb 24, 2022 at 21:34 | comment | added | Deane Yang | @FCardelle, not sure what you mean. I would say that it's impossible to learn any substantial mathematical subject, including different geometry, by just reading books about it. | |
| Feb 24, 2022 at 21:22 | comment | added | FCardelle | It took centuries to the most brilliant minds to find the proofs. If you can understand them by reading, you have done it well enough. | |
| Jul 13, 2021 at 5:46 | comment | added | The Mathemagician | I REALLY have to disagree about local coordinates. Its really hard to understand the coordinate free aspects without understanding how differential geometry works in Euclidean space first. Secondly-you'll be incapable of speaking to physicists without understanding coordinates and general tensors and this is really one of the most important applications of manifolds there is. | |
| Mar 13, 2018 at 23:32 | history | edited | Deane Yang | CC BY-SA 3.0 |
added 833 characters in body
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| Sep 15, 2011 at 18:55 | history | made wiki | Post Made Community Wiki by Kim Morrison | ||
| Oct 18, 2009 at 2:41 | comment | added | Akhil Mathew | Definitely third Milnor's Morse Theory, at least the chapter on connections and Riemannian metrics (which is all I've read). And I wish more authors would take your advice about local coordinates and Christoffel symbols. | |
| Oct 18, 2009 at 2:01 | comment | added | Eric Wofsey | Definitely second Milnor's Morse Theory. After several failed attempts, that's what really made differential geometry make some sense to me. | |
| Oct 18, 2009 at 1:31 | history | answered | Deane Yang | CC BY-SA 2.5 |