3
$\begingroup$

I'm looking for a good & unquestionably complete reference on solving basic integrals. Out of all the books in my library I've checked they're all more or less just Thomas calculus with the odd frill attached here & there. The best books I've come across are Piskunov's calculus & a few Indian textbooks on google books but I'm hoping for something better, something more complete & systematic but is more than an integral table with no/few/incomplete/unsystematic methods (i.e. something that would go through the trouble of mentioning that three techniques apply to some integral, systematizing special non-obvious cases etc... ). To give you an example of what I'm talking about, & why I feel someone will mention a book I haven't come across yet that is my saviour, just pick up every ordinary differential equations book you can & count how many mention first order Abel's Equations of the first or second kind, the Isobaric equation, first order Jacobi & Darboux equations etc... etc... The integral analogue of what I'm looking for would be something like either of Murphy, Ordinary Differential Equations and Their Solutions http://www.amazon.com/Ordinary-Differential-Equations-Solutions-Mathematics/dp/0486485919/ or Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations http://www.amazon.com/Handbook-Solutions-Ordinary-Differential-Equations/dp/1584882972/

1 Answers 1