math 1118

chapter 4 notes and videos

### A mathematician, like a painter or a poet, is a maker
of patterns. If his patterns are more permanent than
theirs, it is because they are made with ideas....
The mathematician's patterns, like the painter's or
poet's, must be beautiful; the ideas, like the colors
or the words, must fit together in a harmonious way.
Beauty is the first test; there is no permanent place
in the world for ugly mathematics.

### -G.H. Hardy