Quotes About Mathematics

the loftier peaks of mathematics did not delight me. I am no poet. I do not love words for the sake of words. I love words for what they can accomplish. Similarly, I am no arithmetician. Numbers that speak only of numbers are of little interest to me.

You can divide infinity an infinite number of times, and the resulting pieces will still be infinitely large,

You can divide infinity an infinite number of times, and the resulting pieces will still be infinitely large. But if you divide a non-infinite number an infinite amount of times the resulting pieces are non-infinitely small. Since they are non-infinitely small, but there are an infinite number of them, if you add them back together, their sum is infinite. This implies that any number is, in fact, infinite.

If one is working from the point of view of getting beauty into one's equation, ... one is on a sure line of progress.

The mathematician plays a game in which he himself invents the rules while the physicist plays a game in which the rules are provided by nature, but as time goes on it becomes increasingly evident that the rules which the mathematician finds interesting are the same as those which nature has chosen

If you are receptive and humble, mathematics will lead you by the hand. Again and again, when I have been at a loss how to proceed, I have just had to wait until I have felt the mathematics led me by the hand. It has led me along an unexpected path, a path where new vistas open up, a path leading to new territory, where one can set up a base of operations, from which one can survey the surroundings and plan future progress.

God used beautiful mathematics in creating the world.

If there is a God, he's a great mathematician.

It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress.

If you are receptive and humble, mathematics will lead you by the hand.

God is a mathematician of a very high order and He used advanced mathematics in constructing the universe.

It is more important to have beauty in one's equation than to have them fit experiment

A physical law must possess mathematical beauty

A mathematician is a device for turning coffee into theorems.

In his school, Bertrand Russell thought it was better if they had the sex, so they could give their undivided attention to mathematics, which was the main thing.

The relationships (Maxwell's equations) are the epitome of mathematical consieness, compact enough to fit on a T-shirt yet powerful enough to describe all manner of electromagnetism.

Mathematician need only peace of mind and occasionally, paper and pencil.

When he said someone had 'died", Erd?s meant that that the person had stopped doing mathematics. When he said someone had "left", the person had died.

Those who have witnessed the deep truths of mathematics, Bell wrote, "have experienced something no jellyfish has ever felt".

The next, magnificent step would of course have been to write , but the Stereometria records it as , and so Heron missed being the earliest known scholar to have derived the square root of a negative number in a mathematical analysis of a physical problem.

the differential arc length ds along a curve y = y(x) is The arc length from x = 0 to x = x?, then, is simply

Finally, in 1748, Euler published the explicit formula in his book Introductio in Analysis Infinitorum.

French mathematician Jacques Hadamard (1865–1963): "The shortest path between two truths in the real domain passes through the complex domain." I

Euler's constant, which is ? = 0.577215664901532 …. After ? and e, ? is perhaps the most important mathematical constant not appearing in elementary arithmetic.