AB=1/4((A+B)^2-(A-B)^2) is an amazing identity, and unfortunately, I have to remind my current students how to prove it. — Ronald Graham Copy Share Image
Incidentally, when we're faced with a "prove or disprove," we're usually better off trying first to disprove with a counterexample, for two reasons: A disproof is potentially easier (we need just one counterexample); and nitpicking arouses our creative juices. Even… — Ronald Graham Copy Share Image
The ultimate goal of mathematics is to eliminate all need for intelligent thought. — Ronald Graham Copy Share Image
Well, as you know, there are 24 hours in every day. And if that's not enough, you've always got the nights! — Ronald Graham Copy Share Image
It wouild be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and it said,… — Ronald Graham Copy Share Image
I was reminded of the Sydney Harris cartoon that said 'adding two numbers that have not been added before does not constitute a mathematical… — Ronald Graham Copy Share Image
Someone has remarked that 'An ideal math talk should have one proof and one joke and they should not be the same'. — Ronald Graham Copy Share Image
Some people think that mathematics is a serious business that must always be cold and dry; but we think mathematics is fun, and we… — Ronald Graham Copy Share Image
Juggling is sometimes called the art of controlling patterns, controlling patterns in time and space. — Ronald Graham Copy Share Image
Incidentally, when we're faced with a "prove or disprove," we're usually better off trying first to disprove with a counterexample, for two reasons: A… — Ronald Graham Copy Share Image
The trouble with integers is that we have examined only the very small ones. Maybe all the exciting stuff happens at really big numbers,… — Ronald Graham Copy Share Image
