Quotes of All Topics . Occasions . Authors
The work of mathematicians on 'pure' problems has often yielded ideas that have waited to be rediscovered by physicists. The work of Euclid, Apollonius and Archimedes on ellipses would be used centuries later by Kepler for his theory of planetary motion.
When I first began studying prices, it wasn't a topic that mathematicians were working on. Purely by accident, I saw a set of data on price changes presented in a lecture and realized they behaved similarly to the geometric models I was already studying.
Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.
Our next-door neighbour taught physics at Hampton University. Our church abounded with mathematicians. Supersonics experts held leadership positions in my mother's sorority, and electrical engineers sat on the board of my parents' college alumni associations.
Most of all, a good maths education encourages students to embrace difficult problems, not shy away from them. In my opinion, the problem is that most UK secondary schools don't stretch good mathematicians and therefore fail to turn them into excellent mathematicians.
I worked in a number of high schools in New York, and I wound up at Stuyvesant High School, which is known nationally for producing brilliant scientists and mathematicians, but I had writing classes. I thought I was teaching. They thought I was teaching, but I was learning.
Today, you have neuroscientists working on a genetic, behavioural or cognitive level, and then you have informaticians, chemists and mathematicians. They all have their own understanding of how the brain functions and is structured. How do you get them all around the same table?
When I do the dodecahedron with the science audiences, I'll point out that I can only do three of the five forms with bubbles, since bubbles only join at three-way corners. The two I can't do are the ones that represent water and air. That always gets a big laugh from the mathematicians. They see the irony in it.
Mathematicians have been hiding and writing messages in the genetic code for a long time, but it's clear they were mathematicians and not biologists because, if you write long messages with the code that the mathematicians developed, it would more than likely lead to new proteins being synthesized with unknown functions.
The idea would be in my mind - and I know it sounds strange - is that the most important advances in medicine would be made not by new knowledge in molecular biology, because that's exceeding what we can even use. It'll be made by mathematicians, physicists, computer scientists, figuring out a way to get all that information together.