Topic: research

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

TOPICS: art, learning, research

The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.

TOPICS: history, theory, research

A  dictionary definition of chaos is a ‘disordered state or collection; a confused mixture.’ This is an accurate description of dynamical systems theory today—or of any other lively field of research.

TOPICS: research, chaos, theory

It is the first duty of a hypothesis to be intelligible.

TOPICS: research, conjectures