Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.
I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as "useless" as the theory of numbers.
I do not think the division of the subject into two parts - into applied mathematics and experimental physics a good one, for natural philosophy without experiment is merely mathematical exercise, while experiment without mathematics will neither sufficiently discipline the mind or sufficiently extend our knowledge in a subject like physics.
Pure mathematics is, in its way, the poetry of logical ideas.
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
The only way to learn mathematics is to do mathematics.
Mathematics should be mixed not only with physics but with ethics.
The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics.
Applied mathematics will always need pure mathematics just as anteaters will always need ants.
Pure mathematics is on the whole distinctly more useful than applied... For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
It was all so very businesslike that one watched it fascinated. It was pork-making by machinery, pork-making by applied mathematics. And yet somehow the most matter-of-fact person could not help thinking of the hogs; they were so innocent, they came so very trustingly; and they were so very human in their protests - and so perfectly within their rights! They had done nothing to deserve it; and it was adding insult to injury, as the thing was done here, swinging them up in this cold-blooded, impersonal way, without pretence at apology, without the homage of a tear.
I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto.
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