The human brain finds it extremely hard to cope with a new level of abstraction. This is why it was well into… — Keith Devlin Copy Share Image
“Prime numbers are divisible only by 1 and by themselves. They hold their place in the infinite series of natural numbers, squashed,… — Paolo Giordano Copy Share Image
Finally, two days ago, I succeeded - not on account of my hard efforts, but by the grace of the Lord. Like… — Carl Friedrich Gauss Copy Share Image
A reply to Olbers' attempt in 1816 to entice him to work on Fermat's Theorem. I confess that Fermat's Theorem as an… — Carl Friedrich Gauss Copy Share Image
There is always more in one of Ramanujan's formulae than meets the eye, as anyone who sets to work to verify those… — G. H. Hardy Copy Share Image
A mathematician would hardly call a correspondence between the set of 64 triples of four units and a set of twenty other… — Mikhail Leonidovich Gromov Copy Share Image
“That’s right, but it’s not a mathematical proposition. It’s a sociological observation and there is always the possibility of exceptions to such… — Isaac Asimov Copy Share Image
“Do not try the parallels in that way: I know that way all along. I have measured that bottomless night, and all… — Farkas Bolyai Copy Share Image
How can you shorten the subject? That stern struggle with the multiplication table, for many people not yet ended in victory, how… — Stephen Leacock Copy Share Image
Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to… — David Mumford Copy Share Image
Squaring numbers is a symmetrical process that I like very much. And when I divide one number by another, say, 13 divided… — Daniel Tammet Copy Share Image
The Difference Engine can in reality (as has been already partly explained) do nothing but add; and any other processes, not excepting… — Ada Lovelace Copy Share Image
... I soon found an opportunity to be introduced to a famous professor Johann Bernoulli. ... True, he was very busy and… — Leonhard Euler Copy Share Image
“Fractals are beautiful to look at when graphed and, thus, had been used in arts and the sciences. It first appeared in… — Tim Clearbrook Copy Share Image
He is not a true man of science who does not bring some sympathy to his studies, and expect to learn something… — Henry David Thoreau Copy Share Image
“The Greeks were the first mathematicians who are still ‘real’ to us to-day. Oriental mathematics may be an interesting curiosity, but Greek… — G.H. Hardy Copy Share Image
“You see... the cave is a metaphor, a tool, an illustration. The formula for its accurate representation is something like S2=(2^2)+1. As… — Christopher Higgs Copy Share Image
In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do… — Eric Butterworth Copy Share Image
“In mathematics, in physics, people are concerned with what you say, not with your certification. But in order to speak about social… — Noam Chomsky Copy Share Image
The mathematics faculty were encouraging me to shift into mathematics as my major and explaining to me that it was not almost… — John Nash Copy Share Image
The mathematician starts with a few propositions, the proof of which is so obvious that they are called self-evident, and the rest… — Thomas Huxley Copy Share Image
“When an official report in the UK was commissioned to examine the mathematics needed in the workplace, the investigator found that estimation… — Jo Boaler Copy Share Image
The correct statement of the laws of physics involves some very unfamiliar ideas which require advanced mathematics for their description. Therefore, one… — Richard P. Feynman Copy Share Image
“There are worlds built on rainbows and worlds built on rain. There are worlds of pure mathematics, where every number chimes like… — Seanan McGuire Copy Share Image
“You don’t get to have an opinion on whether .999… is equal to 1, for instance. It is equal to 1. People… — John Green Copy Share Image
It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something… — Anonymous Copy Share Image
“The mathematics of Malthus? A quick Internet search led him to information about a prominent nineteenth-century English mathematician and demographist named Thomas… — Dan Brown Copy Share Image
“There is only one universal language, which is the language of numbers and proportions that are so striking and stunningly built into… — Willem Witteveen Copy Share Image
One magnitude is said to be the limit of another magnitude when the second may approach the first within any given magnitude,… — Jean le Rond d'Alembert Copy Share Image
One reason why mathematics enjoys special esteem,above all other sciences,is that its laws are absolutely certain and indisputable,while those of all other… — Albert Einstein Copy Share Image
The good Christian should beware the mathematician and all those who make empty prophecies. The danger already exists that the mathematicians have… — Saint Augustine Copy Share Image
For there is a great difference in delivery of the mathematics , which are the most abstracted of knowledges, and policy ,… — Francis Bacon Copy Share Image
Some people think that mathematics is a serious business that must always be cold and dry; but we think mathematics is fun,… — Ronald Graham Copy Share Image
Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that… — Hermann Weyl Copy Share Image
India was the motherland of our race, and Sanskrit the mother of Europe's languages: she was the mother of our philosophy; mother,… — Will Durant Copy Share Image
If there should chance to be any mathematicians who, ignorant in mathematics yet pretending to skill in that science, should dare, upon… — Nicolaus Copernicus Copy Share Image
Imagine that you wanted your children to learn the names of all their cousins, aunts and uncles. But you never actually let… — Brian X. Foley Copy Share Image
Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. The basic… — Ambrose Bierce Copy Share Image
Certain functions appear so often that it is convenient to give them names. These are collectively called special functions. There are many… — Richard Askey Copy Share Image
“Finally it is, by the way, obvious that if mathematics can arrogate to itself the privilege of the nobility because of its… — Johann Georg Hamann Copy Share Image