Ordinary Differential Equations by V Arnold

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SUMMARY

The discussion centers on the prerequisites for studying "Ordinary Differential Equations" by V I Arnold. Participants confirm that a foundational understanding of basic topology is essential, specifically referencing the early chapters of "Topology" by James Munkres or "Introduction to Topology" by Mendelson. It is established that knowledge of algebraic topology is not required for this study. This clarification helps streamline the preparation for engaging with Arnold's text.

PREREQUISITES
  • Basic topology concepts
  • Familiarity with "Topology" by James Munkres
  • Understanding of "Introduction to Topology" by Mendelson
  • Basic differential equations knowledge
NEXT STEPS
  • Study the early chapters of "Topology" by James Munkres
  • Review "Introduction to Topology" by Mendelson for foundational concepts
  • Explore differential equations techniques and applications
  • Investigate further reading on ordinary differential equations
USEFUL FOR

Students and educators in mathematics, particularly those focusing on differential equations and topology, will benefit from this discussion.

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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