John von Neumann was the only student I was ever afraid of.

What is the difference between method and device? A method is a device which you use twice.

Mathematics is not a spectator sport!

Success in solving the problem depends on choosing the right aspect, on attacking the fortress from its accessible side.

Hilbert once had a student in mathematics who stopped coming to his lectures, and he was finally told the young man had gone off to become a poet. Hilbert is reported to have remarked: 'I never thought he had enough imagination to be a mathematician.'

Beauty in mathematics is seeing the truth without effort.

Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole as clearly and as vividly as you can. ... What can I gain by doing so? You should understand the problem, familiarize yourself with it, impress its purpose on your mind.