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Classical Mathematical Methods of Classical Mechanics by V.I. Arnol'd

  1. Strongly Recommend

  2. Lightly Recommend

  3. Lightly don't Recommend

    0 vote(s)
  4. Strongly don't Recommend

  1. Jan 20, 2013 #1
    Last edited: May 6, 2017
  2. jcsd
  3. Jan 23, 2013 #2
    This is one of the most beautiful mathematical physics texts out there.
  4. Jan 23, 2013 #3
    this is the text which starts with the idea of an affine space.somewhat tough as compared to Goldstein.
  5. Jan 26, 2013 #4


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    If you think Herbert Goldstein wrote in 800 pages is last edition all there is to write about non-quantum mechanics, there you are for a big surprise. There are at least 800 pages more to write about, and 400 of them you can find in this gem-book which I whole-heartedly reccomend for anyone doing graduate studies in physics.
  6. Aug 9, 2013 #5
    Not sure if I'm supposed to start a new thread or ask this here...

    I'm an engineering/physics student (senior undergrad) trying to self-study to get a better grounding in Lagrangian/Hamiltonian mechanics. Is this book accessible as a "mature" introduction to advanced mechanics, or is it more for people who already know the stuff and just want to frame it more mathematically? Put another way, am I better off working through something like Goldstein first and then coming to this book, or should I start with this book right away?
  7. Aug 9, 2013 #6


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    Definitely use something like Goldstein or Calkin first. You won't learn physics from Arnold's book, you'll just learn how to make the physics more mathematically rigorous. Personally I find the former to be much more important and interesting than the latter. Cheers.
  8. Aug 9, 2013 #7


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    ^Yes Goldstein and Arnold complement each other quite well. I don't agree that the purpose of Arnold is to dress mechanics up with rigor. I think Arnold is uninterested in doing that. The book gives a different way of thinking conceptually about mechanics. Arnold has an interesting perspective. I would warn against becoming too enamoured with Arnolds approach as some readers do. It is not the one true way.

    I actually think of Goldstein as a quantum mechanics book. It seems a bit more interested in laying a foundation for later study of quantum mechanics than doing classical mechanics for its own sake. Not that there is anything wrong with that.
  9. Aug 9, 2013 #8
    Yes, exactly!! It's like how think of Spivak's calculus actually being an algebraic geometry book.
    Those textbook authors try to trick us!
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