Math is like love  a simple idea but it can get complicated.
— R. Drabek
Mathematicians do not study objects, but relations between objects.
— Henri Poincare
As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.
— Albert Einstein
One has to be able to count if only so that at fifty one doesn't marry a girl of twenty.
— Maxim Gorky
Mathematics is the music of reason.
— James Joseph Sylvester

Mathematicians stand on each other's shoulders.

I have often admired the mystical way of Pythagoras, and the secret magic of numbers.

It is a mathematical fact that the casting of this pebble from my hand alters the centre of gravity of the universe.

Lottery: A tax on people who are bad at math.

Mathematics, rightly viewed, posses not only truth, but supreme beauty a beauty cold and austere, like that of sculpture.

A man has one hundred dollars and you leave him with two dollars, that's subtraction.

Mathematics is written for mathematicians.

In the one branch he most needed

If a man's wit be wandering, let him study the mathematics.

The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method

In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an antimathematical principle that is luring us into the wrong answers.

Yet what are all such gaieties to me whose thoughts are full of indices and surds?

There are no creeds in mathematics.

Mathematicians are like Frenchman: whatever you say to them they translate Into their own language, and forthwith it is something entirely different.

Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.

What would life be without arithmetic, but a scene of horrors?

Canada is the essence of not being. Not English, not American, it is the mathematic of not being. And a subtle flavour  we're more like celery as a flavour.

But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.

How happy the lot of the mathematician! He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve. No cashier writes a letter to the press complaining about the incomprehensibility of Modern Mathematics and comparing it unfavorably with the good old days when mathematicians were content to paper irregularly shaped rooms and fill bathtubs without closing the waste pipe.

All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.

It is from this absolute indifference and tranquillity of the mind, that mathematical speculations derive some of the most considerable advantages; because there is nothing to interest the imagination; because the judgment sits free and unbiased to examine the point. All proportions, every arrangement of quantity, is alike to the understanding, because the same truths result to it from all; from greater from lesser, from equality and inequality.

To the pure geometer the radius of curvature is an incidental characteristic  like the grin of the Cheshire cat. To the physicist it is an indispensable characteristic. It would be going too far to say that to the physicist the cat is merely incidental to the grin. Physics is concerned with interrelatedness such as the interrelatedness of cats and grins. In this case the cat without a grin and the grin without a cat are equally set aside as purely mathematical fantasies.

The laws of Nature are written in the language of mathematics.
..the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word.

Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas the identity fades out of sight.

Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff to any degree of fineness; but, nevertheless, what you get out depends on what you put in; and as the grandest mill in the world will not extract wheat flour from peas cods, so pages of formulae will not get a definite result out of loose data.

I would advise you Sir, to study algebra, if you are not already an adept in it: your head would be less muddy, and you will leave off tormenting your neighbors about paper and packthread, while we all live together in a world that is bursting with sin and sorrow.

The teacher pretended that algebra was a perfectly natural affair, to be taken for granted, whereas I didn't even know what numbers were. Mathematics classes became sheer terror and torture to me. I was so intimidated by my incomprehension that I did not dare to ask any questions.

Now I feel as if I should succeed in doing something in mathematics, although I cannot see why it is so very important... The knowledge doesn't make life any sweeter or happier, does it?

Nobody before the Pythagorean had thought that mathematical relations held the secret of the universe. Twentyfive centuries later, Europe is still blessed and cursed with their heritage. To nonEuropean civilizations, the idea that numbers are the key to both wisdom and power, seems never to have occurred.

It is amusing to discover, in the twentieth century, that the quarrels between two lovers, two mathematicians, two nations, two economic systems, usually assumed insoluble in a finite period should exhibit one mechanism, the semantic mechanism of identification  the discovery of which makes universal agreement possible, in mathematics and in life.

Stand firm in your refusal to remain conscious during algebra.
In real life, I assure you, there is no such thing as algebra.

Socalled professional mathematicians have, in their reliance on the relative incapacity of the rest of mankind, acquired for themselves a reputation for profundity very similar to the reputation for sanctity possessed by theologians.

I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia.

Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.

Arithmetic is where the answer is right and everything is nice and you can look out of the window and see the blue sky  or the answer is wrong and you have to start over and try again and see how it comes out this time.

Mathematics is not a book confined within a cover and bound between brazen clasps, whose contents it needs only patience to ransack; it is not a mine, whose treasures may take long to reduce into possession, but which fill only a limited number of veins and lodes; it is not a soil, whose fertility can be exhausted by the yield of successive harvests; it is not a continent or an ocean, whose area can be mapped out and its contour defined: it is limitless as that space which it finds too narrow for its aspirations; its possibilities are as infinite as the worlds which are forever crowding in and multiplying upon the astronomer's gaze.

Mathematics alone make us feel the limits of our intelligence.
For we can always suppose in the case of an experiment that it is inexplicable because we don't happen to have all the data. In mathematics we have all the data and yet we don't understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.

The mathematics is not there till we put it there.

Rigour is to the mathematician what morality is to men.

Music at times is more like perfume than mathematics.

All musicians are subconsciously mathematicians.

I like to move among painters, mathematicians, psychologists, people who can tell me something.

I was so pleased to be at university to do physics and mathematics.

In terms of mathematics textbooks, why can't you have the scale of a national market? Right now, we have a Texas textbook that's different from a California textbook that's different from a Massachusetts textbook. That's very expensive.
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Last Update: January, 2020