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Need a really advanced Calculus book

  1. Oct 31, 2011 #1
    I'm looking for an advanced Calculus book that explains special (non-elementary) functions and their properties and applications (like Lambert W function, elliptic functions, error function, Ei and other special functions). I'd also like it to contain different methods of integration like contour integration and differentiation under the integral sign.
     
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  3. Oct 31, 2011 #2

    marcusl

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    Much of what you are looking for is covered in Whittaker and Watson's Modern Analysis.
     
  4. Oct 31, 2011 #3

    mathwonk

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    i don't know if it has all this but i suggest you look at apostol's mathematical analysis.
     
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