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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.
  2. jcsd
  3. Oct 31, 2011 #2


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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


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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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