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