The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.
Creativity is essential to particle physics, cosmology, and to mathematics, and to other fields of science, just as it is to its more widely acknowledged beneficiaries - the arts and humanities.
The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.
There is a close analogy between organic chemistry in its relation to biochemistry and pure mathematics in its relation to physics.
Many of our young people spend four years getting very expensive college degrees. But our universities fail them and the nation if they continue to graduate students with expertise in biochemistry, mathematics or history without teaching them to think about what problems are important and why.
An early fascination with higher mathematics at the university level blossomed into speculative thinking that could provide a basis for dealing with economic issues.
I grew up in Adelaide, Australia. No one in my family had finished high school, and I was smart at mathematics, so I became an academic and got my Ph.D. in computer science at Stanford. I didn't set out to be a businessperson.
Calculating does not equal mathematics. It's a subsection of it. In years gone by it was the limiting factor, but computers now allow you to make the whole of mathematics more intellectual.
I can do lightning mathematics quicker than somebody can do them on a calculator.
Aerodynamics is mathematics for those who haven't learned to do calculus. In my case, too, for one who hasn't learned to add or multiply, at least the first time.
In terms of mathematics textbooks, why can't you have the scale of a national market? Right now, we have a Texas textbook that's different from a California textbook that's different from a Massachusetts textbook. That's very expensive.
It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to mathematics, though she is still forbidden to resort to physics or chemistry.
When we were making the law, when we were writing the literature and the mathematics the grandfarthers of Blair and little Bush were scratching around in caves.
I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.
We have such a great depth of human history in all of the arts, whether it's opera or mathematics or painting or classical music or jazz. There's so many things to study, new books to read, and certainly always ways to transform old ideas and to come up with new ones.
I have been lucky to find very good collaborators who have taught me a lot, have introduced me to several new fields of mathematics, or have shown me new insights.
Things like the financial markets - a proper grounding in mathematics could help the common man. I believe that if people are more familiar with mathematical concepts... it can help deal with modern life, which is increasingly complex.
I started attending community college when I was 14 or 15, just doing general education stuff like history and mathematics. Then I went on to California State University Long Beach to pursue a degree in journalism. And then I ended up dropping out to found Oculus.
If you come from mathematics, as I do, you realize that there are many problems, even classical problems, which cannot be solved by computation alone.
Formal logic is mathematics, and there are philosophers like Wittgenstein that are very mathematical, but what they're really doing is mathematics - it's not talking about things that have affected computer science; it's mathematical logic.