You are allowed to lie a little, but you must never mislead.

The library is the mathematician's laboratory.

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

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

Mathematics - this may surprise or shock some - is never deductive in creation.

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.

Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? ... Where does the proof use the hypothesis?