Ordinary Differential Equations by V Arnold

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Discussion Overview

The discussion revolves around the prerequisites for studying "Ordinary Differential Equations" by V I Arnold, specifically focusing on the necessary background in topology.

Discussion Character

  • Conceptual clarification

Main Points Raised

  • Prashanth inquires about the specific subfield of topology required to study Arnold's book.
  • One participant suggests that the early chapters of Munkres or Mendelson are sufficient for basic topology.
  • Another participant clarifies that algebraic topology is not necessary for reading Arnold's work.

Areas of Agreement / Disagreement

Participants generally agree that basic topology is needed, and there is consensus that algebraic topology is not required.

Contextual Notes

None.

Who May Find This Useful

Readers interested in studying differential equations with a focus on the necessary mathematical background in topology.

prash_neo
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"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
 
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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 !
 

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