🧵 Math book recommendation request
Anonymous at Mon, 6 May 2024 18:37:16 UTC No. 16162636
Need a good differential equations book that approaches in terms of integral curves, diffeomorphism groups etc
Like Arnold's differential equations but written better
Any suggestions?
Anonymous at Mon, 6 May 2024 20:54:44 UTC No. 16162901
No such thing. Unironically write your own.
🗑️ Anonymous at Mon, 6 May 2024 21:29:37 UTC No. 16162946
>>16162901
Ok.
What should I study to write such a book
And will you guys purchase/pirate it if it is good
Anonymous at Mon, 6 May 2024 21:40:41 UTC No. 16162964
>>16162901
Atleast tell a good book for differential equations that will make me very strong in it
Anonymous at Tue, 7 May 2024 01:36:30 UTC No. 16163336
>>16162636
there is a chapter in Lee's intro to smooth manifolds that covers integral curves and diffeomorphism groups (if I remember correctly). in the appendix you can find the basic existence and uniqueness theorems for ODEs
Anonymous at Tue, 7 May 2024 04:29:12 UTC No. 16163543
>>16163336
Which chapter, I cant see it
Anonymous at Tue, 7 May 2024 04:53:05 UTC No. 16163569
>>16163543
NTA but there's a few spots in that book that are relevant to DE's. Ch. 9 directly deals with solution of integral equations on vector fields. Ch. 14 is all about differential forms and has some relevance to your question.
I've attached the section of the index that mentions diffeomorphisms directly if you want to check out those pages.
Anonymous at Tue, 7 May 2024 08:09:18 UTC No. 16163679
>>16162636
I prefer extraordinary differential equations
Anonymous at Tue, 7 May 2024 08:11:26 UTC No. 16163680
>>16162636
What's wrong with Arnold's book?
Anonymous at Tue, 7 May 2024 08:48:44 UTC No. 16163697
>>16163680
Check Arnold's early life section.
Anonymous at Tue, 7 May 2024 09:31:00 UTC No. 16163729
>>16163697
They're not known for being low IQ.
Anonymous at Tue, 7 May 2024 17:02:19 UTC No. 16164175
>>16162901
but i can't write.