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.

The ultimate goal of mathematics is to eliminate all need for intelligent thought.

Juggling is sometimes called the art of controlling patterns, controlling patterns in time and space.

Some people think that mathematics is a serious business that must always be cold and dry; but we think mathematics is fun, and we aren't ashamed to admit the fact. Why should a strict boundary line be drawn between work and play? Concrete mathematics is full of appealing patterns; the manipulations are not always easy, but the answers can be astonishingly attractive.

It wouild be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and it said, 'Yes, it is true, but you won't be able to understand the proof.' John Horgan.

Well, as you know, there are 24 hours in every day. And if that's not enough, you've always got the nights!

Math is sometimes called the science of patterns.