Ordinary Differential Equations by V Arnold

AI Thread Summary
To effectively study "Ordinary Differential Equations" by V I Arnold, a foundational understanding of basic topology is essential. Recommended resources include the early chapters of Munkres or Mendelson, which cover the necessary concepts without delving into algebraic topology. It is confirmed that knowledge of algebraic topology is not required for this text.
prash_neo
Messages
9
Reaction score
0
"Ordinary Differential Equations" by V Arnold

Hello,

I recently bought "Ordinary Differential Equations" by V I Arnold to study differential equation. In that book he assumes we know basic topology. I want to know which subfield of topology should I know, in order to study this book.

Regards
Prashanth
 
Physics news on Phys.org


As you said, basic topology. The early chapters of Munkres or Mendelson will be more than enough.
 


In Munkres there are two parts, general & algebraic. So then as per your reply, there is no need to study algebraic topology. Am I correct?
 


Correct, no algebraic topology is necessary for reading Arnold.
 


ok, Thanks a lot !
 
TL;DR Summary: Book after Sakurai Modern Quantum Physics I am doing a comprehensive reading of sakurai and I have solved every problem from chapters I finished on my own, I will finish the book within 2 weeks and I want to delve into qft and other particle physics related topics, not from summaries but comprehensive books, I will start a graduate program related to cern in 3 months, I alreadily knew some qft but now I want to do it, hence do a good book with good problems in it first...
TLDR: is Blennow "Mathematical Methods for Physics and Engineering" a good follow-up to Altland "Mathematics for physicists"? Hello everybody, returning to physics after 30-something years, I felt the need to brush up my maths first. It took me 6 months and I'm currently more than half way through the Altland "Mathematics for physicists" book, covering the math for undergraduate studies at the right level of sophystication, most of which I howewer already knew (being an aerospace engineer)...

Similar threads

Replies
5
Views
2K
Replies
6
Views
3K
Replies
9
Views
2K
Replies
5
Views
504
Replies
5
Views
4K
Replies
8
Views
4K
Replies
4
Views
2K
Replies
6
Views
3K
Back
Top