Path: utzoo!utgpu!water!watmath!clyde!att!osu-cis!tut.cis.ohio-state.edu!rutgers!apple!bionet!agate!bizet.Berkeley.EDU!matloff From: matloff@bizet.Berkeley.EDU (Norman Matloff) Newsgroups: comp.arch Subject: Re: Trachtenberg System of Math Message-ID: <16053@agate.BERKELEY.EDU> Date: 27 Oct 88 01:58:31 GMT References: <6232@june.cs.washington.edu> <6821@pasteur.Berkeley.EDU> Sender: usenet@agate.BERKELEY.EDU Reply-To: matloff@iris.ucdavis.edu (Norm Matloff) Organization: EECS, UC Davis Lines: 24 In article <6821@pasteur.Berkeley.EDU> aho@cory.Berkeley.EDU.UUCP (Alex Ho) writes: *In article <6232@june.cs.washington.edu> pardo@cs.washington.edu (David Keppel) writes: *>As a kid I read part of a book called "The Trachtenberg System of *>Math" or some such. The basic idea was that there were several rules *>that could be applied to *all* numbers to do *very* fast (linear in *>number of digits?) multiplies and multi-row adds. *this system sounds pretty interesting. *do you have a reference to the original source, *a book or a more recent magazine article, by any *chance. I think that the title is VERY close to what David remembers it as. However, as I recall, the system was NOT as far-reaching as David seems to be implying. It consisted of a bunch of specialized rules (e.g. similar to the well-known fact that a number is divisible by 3 iff the sum of its digits is divisible by 3) that did NOT apply to all situations. But maybe my memory is wrong on this. Interesting sidelight: Trachtenberg invented his system while in prison, I think a Nazi prison. He whiled away the hours by inventing all these speedy-arithmetic rules. Norm