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Can you recommend a good book (with theoretical results with proofs, and with plenty of solved problems and examples) on the topics of improper integrals, (improper) integrals with parameters, special functions (Beta, Gamma, ...)?

George1811
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digital-Ink
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    This thread may help. – Raymond Manzoni Apr 27 '14 at 21:24
  • I think I remember liking this book "An introduction to the theory of functions of a complex variable" by Copson, when I did a course on complex analysis last semester. He seems to do a good bit and I couldn't get through nearly half of it. It seems to be available here to read online: https://archive.org/details/TheoryOfTheFunctionsOfAComplexVariable – snulty May 07 '14 at 23:56
  • He does do a bit on special functions, gamma, beta, hypergeometric. Plus there's a search bar. It's from something like 1901 I think I read... Meant to be pretty decent though – snulty May 08 '14 at 00:04
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    an exercise book with solutions, http://www.amazon.com/Problems-Mathematical-Analysis-Student-Library/dp/0821832980 – OBDA May 08 '14 at 10:29

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You may have a look at the affordable and accessible Schaum's Outline of Advanced Calculus. Not too much advanced :)

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I like Hildebrand's 'Advanced Calculus for Applications'. It has many applications of special functions for differential equations and shows how to use them to solve problems.

eigenjohnson
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