If the NSF had never existed, if the government had never funded American mathematics, we would have half as many mathematicians as we now have, and I don't see anything wrong with that.

It saddens me that educated people don't even know that my subject exists.

A smooth lecture... may be pleasant; a good teacher challenges, asks, irritates and maintains high standards - all that is generally not pleasant.

The only way to learn mathematics is to do mathematics.

Applied mathematics will always need pure mathematics just as anteaters will always need ants.

The beginner should not be discouraged if he finds he does not have the prerequisites for reading the prerequisites.

Feller was an ebullient man, who would rather be wrong than undecided.