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Calculus A Book on Methods of Integration

  1. Oct 4, 2017 #1
    Is there a book that can teach me every single method of integration (except Ryzhik) and Special Functions (Bessel,Hermite,Legendre ,Spherical Harmonics). since I'll be use it in QFT ,It will be very useful to have strong in Bessel Functions and Others Functions and Integrals.
     
  2. jcsd
  3. Oct 4, 2017 #2

    Dr Transport

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    if it isn't in Ryzhik, it pretty much can't be done analytically......
     
  4. Oct 4, 2017 #3
    Is Ryzhik Complete?
     
  5. Oct 4, 2017 #4

    Dr Transport

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    about as complete as anything I have ever found....
     
  6. Oct 4, 2017 #5
    Then Ok, Thanks I'll go with it! since it a complete guide to Bessel F.
     
  7. Oct 5, 2017 #6

    vanhees71

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    I've no clue, what "complete" means. For perturbative QFT the single most important functions is the ##\Gamma## function and all kinds of dilogarithms like Spence's functions.
     
  8. Oct 6, 2017 #7

    Demystifier

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    That's a frequent mistake of beginners, in anything. They want to have a single book (a "Bible") which contains all one needs to know about the given subject. But there is never such a book, on anything.
     
  9. Oct 16, 2017 #8
    there is a book of M.A.ABRAMWITZ handbook of mathematical function and G.N.WATSON t
     
  10. Nov 1, 2017 #9

    Ssnow

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    This is a large collection of methods and results: " Inside Interesting Integrals " of Paul J. Nahin, Springer.
    Ssnow
     
  11. Nov 1, 2017 #10
    Thanks Guys
     
  12. Nov 1, 2017 #11

    George Jones

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    Hmmm ... there are two authors of this book. You spelled the name of one of the authors incorrectly and neglected the other author completely (shades of Cohen-Tannoudji, Diu, and Laloe).

    There are links to free legal copies of Abramowitz and Stegun at the bottom of

    https://en.wikipedia.org/wiki/Abramowitz_and_Stegun
     
  13. Nov 1, 2017 #12
    Thanks George, I think this is best thing that having a free book like that.
     
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