Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first… — Andrew Wiles Copy Share Image
It has been pointed out already that no knowledge of probabilities, less in degree than certainty, helps us to know what conclusions… — John Maynard Keynes Copy Share Image
Now, as Mandelbrot points out, ... Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking… — Freeman Dyson Copy Share Image
I've been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I'm not a mathematician… — Benoit Mandelbrot Copy Share Image
It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds,… — Thomas Reid Copy Share Image
Einstein and the Quantum is delightful to read, with numerous historical details that were new to me and cham1ing vignettes of Einstein… — Daniel Kleppner Copy Share Image
The Pentagon is a series of wedges. So you have - the outer wedge has windows on the outside, and then inside… — Jack Keane Copy Share Image
Nothing can be more fatal to progress than a too confident reliance on mathematical symbols; for the student is only too apt… — Lord Kelvin Copy Share Image
Nature's economy shall be the base for our own, for it is immutable, but ours is secondary. An economist without knowledge of… — Carl Linnaeus Copy Share Image
The Analytical Engine does not occupy common ground with mere 'calculating machines.' It holds a position wholly its own, and the considerations… — Ada Lovelace Copy Share Image
“I am not qualified to say whether or not God exists. I kind of doubt He does. Nevertheless I'm always saying that… — Paul Erdős Copy Share Image
Some persons have contended that mathematics ought to be taught by making the illustrations obvious to the senses. Nothing can be more… — Samuel Taylor Coleridge Copy Share Image
“Geometry exist everywhere.It is necessary, however, to have eyes to see it, intelligence to understand it , and spirit to wonder at… — Anonymous Copy Share Image
Math education has changed over the years. In the 19th century, they taught spherical trigonometry because one of the biggest applications of… — Terence Tao Copy Share Image
“Since September, I sat one seat behind Anna in algebra. Passed papers to her every day. Studied for tons of tests together.… — Terri Fields Copy Share Image
Well it was not exactly a dissertation in logic, at least not the kind of logic you would find in Whitehead and… — Alonzo Church Copy Share Image
Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number… — Gian-Carlo Rota Copy Share Image
It wouild be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and… — Ronald Graham Copy Share Image
Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as… — Hermann Weyl Copy Share Image
I studied mathematics fairly broadly and I was fortunate enough...also to make a nice discovery relating to manifolds and real algebraic varieties.… — John Nash Copy Share Image
What I have said may serve to recommend mathematics for acquiring a vigorous constitution of mind; for which purpose they are as… — John Arbuthnot Copy Share Image
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics,… — Carl Friedrich Gauss Copy Share Image
While, on the one hand, the end of scientific investigation is the discovery of laws, on the other, science will have reached… — William Mitchinson Hicks Copy Share Image
In mathematics ... we find two tendencies present. On the one hand, the tendency towards abstraction seeks to crystallise the logical relations… — David Hilbert Copy Share Image
“Play with your dolls for not more than half an hour, no more than fifteen minutes, no more than a second, a… — Weike Wang Copy Share Image
I have never done anything 'useful'. No discovery of mine has made, or is likely to make, directly or indirectly, for good… — G. H. Hardy Copy Share Image
People who are looked up to in America will often say, 'I don't get math.' And they'll often say it like they're… — Sal Khan Copy Share Image
“The golden era of the golden number was the Italian renaissance. The expression divine proportion was coined by the great mathematician Luca… — Midhat Gazale Copy Share Image
“What's the matter?" said the old man. "Can't you make up your mind what kind you want?" The kid laughed. "I want… — Jerry Spinelli Copy Share Image
Heisenberg has discussed the coupled double harmonic oscillator, and has shown that the ordinary rules of quantization lead to two non-combining sets… — Linus Pauling Copy Share Image
The further we analyse the manner in which such an engine performs its processes and attains its results, the more we perceive… — Ada Lovelace Copy Share Image
Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which… — Benoit Mandelbrot Copy Share Image
Another advantage of a mathematical statement is that it is so definite that it might be definitely wrong; and if it is… — Lewis Fry Richardson Copy Share Image
The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and invent new… — George Polya Copy Share Image
I learnt to distrust all physical concepts as the basis for a theory. Instead one should put one's trust in a mathematical… — Paul Dirac Copy Share Image
My basic idea is that programming is the most powerful medium of developing the sophisticated and rigorous thinking needed for mathematics, for… — Seymour Papert Copy Share Image
Very few people can communicate with one another. The only language that's not subject to interpretation is mathematics, chemistry, basic science, engineering… — Jacque Fresco Copy Share Image
A boy was teaching maths to a girl... He kissed her, again he kissed her n said, this is addition then the… — Anonymous Copy Share Image
The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit… — Anonymous Copy Share Image
“Yet in another way, calculus is fundamentally naive, almost childish in its optimism. Experience teaches us that change can be sudden, discontinuous,… — Steven Strogatz Copy Share Image