The discovery in 1846 of the planet Neptune was a dramatic and spectacular achievement of mathematical astronomy. The very existence of this… — James R Newman Copy Share Image
The Analytical Engine, on the contrary, can either add, subtract, multiply or divide with equal facility; and performs each of these four… — Ada Lovelace Copy Share Image
What makes this story so remarkable is that throughout my early childhood I had ongoing learning difficulties, particularly in mathematics. I struggled… — Andrew Lo Copy Share Image
Neumann, to a physicist seeking help with a difficult problem: Simple. This can be solved by using the method of characteristics. Physicist:… — John von Neumann Copy Share Image
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical… — L. E. J. Brouwer Copy Share Image
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
“Zero has had a long history. The Babylonians invented the concept of zero; the ancient Greeks debated it in lofty terms (how… — Dan Ariely Copy Share Image
The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied… — Aristotle Copy Share Image
“Non-Euclidean' became a byword for non-absolute knowledge. It also served to illustrate most vividly the gap between mathematics and the natural world.… — John D. Barrow 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
... 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
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
“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
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
“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
“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
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