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ODE textbook recommentation (Arnold or other?)

  1. May 18, 2014 #1
    Hi everyone. I have a copy of Ordinary Differential Equations by Vladimir Arnold. I'm hoping to learn more about differential equations, building up to differential equations on manifolds.

    I've heard that this is a great book, but I've also heard Arnold sometimes leaves out important details, which worries me a little. My question is: is this a good book for self-study? Would anyone recommend an alternative text at the same level instead?
     
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  3. May 18, 2014 #2

    verty

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    Last edited by a moderator: May 6, 2017
  4. Jun 3, 2014 #3
    Thanks for the suggestion, but this looks like a book almost entirely devoted to linear differential equations. I don't think this is what I'm looking for, unfortunately.
     
    Last edited by a moderator: May 6, 2017
  5. Jun 3, 2014 #4

    George Jones

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    Tenenbaum and Pollard,

    https://www.amazon.com/Ordinary-Differential-Equations-Dover-Mathematics/dp/0486649407

    might not be up to the level that you want, but mathwonk certainly likes it:

     
    Last edited by a moderator: May 6, 2017
  6. Jun 3, 2014 #5

    verty

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    Look here, two interesting books are mentioned: Verhulst and Perko. Perko may be the one you want.
     
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