"Ordinary Differential Equations" by V Arnold


by prash_neo
Tags: ode, v i arnold
prash_neo
prash_neo is offline
#1
Nov25-12, 12:51 AM
P: 9
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
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
Number Nine
Number Nine is offline
#2
Nov25-12, 02:21 AM
P: 771
As you said, basic topology. The early chapters of Munkres or Mendelson will be more than enough.
prash_neo
prash_neo is offline
#3
Nov26-12, 01:53 AM
P: 9
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?

A. Bahat
A. Bahat is offline
#4
Nov26-12, 02:09 PM
P: 150

"Ordinary Differential Equations" by V Arnold


Correct, no algebraic topology is necessary for reading Arnold.
prash_neo
prash_neo is offline
#5
Nov26-12, 08:20 PM
P: 9
ok, Thanks a lot !!!


Register to reply

Related Discussions
Solving linear differential equations by "factoring" Differential Equations 9
Mathematica NDSolve error - "input is not an ordinary differential equation" Math & Science Software 0
Partial differential equations represented as "operators" Calculus & Beyond Homework 11
Arnold "born to rule" Europe? Current Events 25