A good textbook in Differential Equations for pure mathematicians

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SUMMARY

The discussion centers on recommendations for textbooks in Differential Equations tailored for pure mathematicians. Key suggestions include "Ordinary Differential Equations" by V.I. Arnold, "Differential Equations" by Morris Tenenbaum and Harry Pollard, and "Lectures on Differential Equations" by David Braun. The participants emphasize the importance of books that enhance intuition for proofs and provide ample solutions. Additionally, the MIT Herb Gross video lectures are noted as a valuable supplementary resource.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with proof techniques in mathematics
  • Knowledge of ordinary differential equations
  • Experience with mathematical problem-solving
NEXT STEPS
  • Research "Ordinary Differential Equations" by V.I. Arnold for in-depth theoretical insights
  • Explore "Differential Equations" by Tenenbaum and Pollard for practical problem-solving techniques
  • Watch MIT Herb Gross's video lectures on Differential Equations for visual learning
  • Investigate additional resources such as online forums and websites dedicated to Differential Equations
USEFUL FOR

This discussion is beneficial for mathematics students, particularly those pursuing a double major in physics and mathematics, as well as educators seeking effective teaching materials in Differential Equations.

Eng_physicist
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Hi I am a physics major and I am trying to double major in math,I will be taking a differential equations course for pure math students this semester. I need advice on a good textbook in Differential Equations for pure mathematicians that will build up a great intuition for proofs and will have a lot of solutions(if possible).
Also any websites would be helpful.
I am watching the MIT Herb Gross videos and find them quite helpful.
Thanks in advance
 
Physics news on Phys.org
'Ordinary Differential Equation" by Arnold.is the best.
others, DE by Ross, Lectures on DE etc.
 

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