Mathematicians deal with large numbers sometimes, but never in their income.
Mathematics ... is indispensable as an intellectual technique. In many subjects, to think at all is to think like a mathematician.
I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future.
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.
In 2010, my two Harvard mathematician colleagues and I dismantled kin-selection theory, which was the reigning theory of the origin of altruism at the time.
Sol Robeson: As soon as you discard scientific rigor, you're no longer a mathematician, you're a numerologist.
Proof is an idol before whom the pure mathematician tortures himself.
Since the mathematicians have invaded the theory of relativity I do not understand it myself any more.
A mathematician may say anything he pleases, but a physicist must be at least partially sane.
When a student comes and asks, "Should I become a mathematician?" the answer should be no. If you have to ask, you shouldn't even ask.
Artists realise that mathematicians have a way of looking at the world that can make them see things differently.
Ever since the Enlightenment, people thought that we were living in a rational universe. They thought that God was a mathematician and that the function of the scientist was to figure out the mathematical rules whereby the universe was created.
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
A mathematician is an individual who believes that prophesying that his dog will die if he deprives it of food constitutes a prediction.
The mathematician has reached the highest rung on the ladder of human thought.
There is no philosophy which is not founded upon knowledge of the phenomena, but to get any profit from this knowledge it is absolutely necessary to be a mathematician.
A mathematician says that an electromagnetic wave travels from Andromeda to your eye and that it also extends from Andromeda to your eye.
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.
A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.
Newton was asked as a mathematician, not as a moralist. He replied 'Gentlemen, in applied mathematics, you must describe your unit.
