Reddit mentions of Table of Integrals, Series, and Products

https://en.wikipedia.org/wiki/Gradshteyn_and_Ryzhik

SCNR

ED: Here’s a great review:

> I bought Gradshteyn & Ryzhik because I had to write an answer to some
> homework problem in some physics class that I took. The problem had
> contorted itself into a perverse elliptic integral and its recovery
> was beyond my means, so I went to the bookstore, looked for something
> fat and Soviet, and found this gem. I forked over the cash for it,
> figuring that it was a long-term investment.
>
> I took it home and dutifully plagiarized some of its lines to satisfy
> my physics professor. For the next few months, that was the mode in
> which I used this book: read physics problem, translate into elliptic
> or hypergeometric beast, look up answer in G&R, cover up my tracks,
> get 9 or 10 points on the problem. Occasionally, I would own up to
> having looked something up.
>
> The book served its purpose well. Subsequently, I studied some
> integrals of the spinning top that were more or less right out of
> Nikiforov's book on special functions (another excellent source for
> those of you that would like to "earn" a PhD), and G&R stood well by
> its side. Indeed, I discovered how much fun it was to look up an
> integral whose complicated solution had been derived elsewhere, and
> then to look for patterns by analyzing the immediate neighbors of the
> given integral on the preceding and subsequent lines in G&R.
>
> After I was done with answering questions from physics professors, the
> book sat on the shelf taking up more room than several of its
> neighbors put together. Nonetheless, its binding was good, its
> typesetting clear, and its terse and copious stream of forbidding
> integral forms was pleasing to the eye.
>
> Some time passed, and one day I asked myself just what would motivate
> anybody to write such a large collection, so I started rummaging
> through its pages looking for a pattern. I realized that its
> organization was excellent (which would explain why I was able to find
> the answers for my homework), and I also found some sections that were
> just plain fun. The very beginning lists some sums of infinite series
> that can be derived during lunch or while waiting for a friend at a
> cafe (e.g. sum of k^3 = [1/2(n)(n+1)]^2 ). Then one can read about
> numbers and functions named after Euler, Jacobi, Bernoulli,
> Catalan... each line, more or less, is cross-referenced, so after you
> have given up trying to derive that darned product representation of
> the gamma function, you can go to the book in the library and see how
> Whittaker did it.
>
> After about 15 years of owning this book, I am nowhere near done with
> it. If you like math, and you want insurance against being bored, this
> book just might do the trick. As a bonus, it puts cute matrix stuff in
> the back (e.g. the "circulant") which one can read when desiring a
> break from the integrals. I know the book seems expensive, but think
> of if as spending about two bucks a year on it.
>
> I see that one can now obtain a CDRom version of G&R. An intriguing
> option, specially because it outputs in TeX; but really, how can
> anyone resist the large, stubby charm of its paper version?
>
> G&R can help you to deal with members of the opposite sex. I once used
> it to scare away a girlfriend that was becoming much too annoying, by
> pretending to be thickly engrossed in the process of memorizing every
> single integral in the "special functions" chapters. As for my mother,
> she was particularly proud of me when I showed her that I could
> actually understand "randomly selected" pages from this book (I don't
> suppose that I am giving anything away by remarking that books open
> naturally on sections that have been previously examined).
>
> For those of you that are concerned about home security, G&R is also a
> weapon. Some people surround themselves with baseball bats or, if they
> are particularly reckless, a handgun or two... I prefer to keep a
> fully-loaded G&R by my pillow, which I can hurl at any prowler at a
> moment's notice. Its shape is surprisingly well adjusted to the hand
> for the purposes of hurling, and if the covers are bound by a rubber
> band, the book maintains its shape quite stably as it sails across the
> room. Sell your Smith & Wesson and buy yourself a Gradshteyn &
> Ryzhik. You won't regret it.

https://www.amazon.ca/Table-Integrals-Products-I-Gradshteyn-ebook/dp/B01253U252