Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so inconspicuous. The expert has, perhaps, no more ideas than the inexperienced, but appreciates more what he has and uses it better.

The best of ideas is hurt by uncritical acceptance and thrives on critical examination.

Beauty in mathematics is seeing the truth without effort.

If there is a problem you can't solve, then there is an easier problem you can't solve: find it.

In order to solve this differential equation you look at it until a solution occurs to you.

The open secret of real success is to throw your whole personality into your problem.

To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not sense it himself. He cannot share his enthusiasm when he has no enthusiasm to share. How he makes his point may be as important as the point he makes; he must personally feel it to be important.