What are the best textbooks for learning about ODEs and related topics?

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Discussion Overview

The discussion centers around recommendations for textbooks on ordinary differential equations (ODEs), specifically targeting first and second order ODEs and related topics.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant inquires about recommendations for textbooks covering the basics of ODEs.
  • Another participant suggests I.V. Smirnov's "Higher Mathematics," specifically volumes I and II, noting the accessible level of exposure.
  • A participant recommends "Elementary Differential Equations and Boundary Value Problems" by Boyce and DiPrima.
  • Another participant mentions "Differential Equations" by Blanchard, Devaney, and Hall as a popular choice.
  • A different participant highlights the value of Rea's differential equations problem solver alongside a textbook.
  • One participant points out the Tenenbaum and Pollard book published by Dover as a relatively inexpensive option.
  • Another participant asserts that Arnold's book is the best option available.

Areas of Agreement / Disagreement

Participants present multiple recommendations without a clear consensus on which textbook is the best, indicating a variety of preferences and opinions.

Contextual Notes

No specific criteria for evaluating the textbooks are discussed, and the recommendations may depend on individual learning styles or backgrounds.

Benny
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Hi, I'm wondering if anyone has recommendations for textbooks which cover the basics of ODEs. I'm looking for books which cover first and second order ODEs and related topics.
 
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Things are nicely done (the level of exposure is not too difficult) in I.V.Smirnov "Higher Mathematics",VOL I and you may also check volume II.

Daniel.
 
Elementary Differential Equations and Boundary Value Problems by Boyce and DiPrima.
 
Thanks for the suggestions guys, I'll look into them.
 
Differential Equations by Blanchard, Devaney and Hall is a really popular one.
 
I highly recommend, in addition to a decent textbook, Rea's differential equations problem solver.
 
There's also the Tenenbaum and Pollard book published by Dover. Relatively cheap.
 
Arnold is the best:
 
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