Fourier is a mathematical poem.
War can protect; it cannot create.
To understand this for sense it is not required that a man should be a geometrician or a logician, but that he should be mad.
At first it seems obvious, but the more you think about it the stranger the deductions from this axiom seem to become; in the end you cease to understand what is meant by it.
If there is a God, he's a great mathematician.
There was a blithe certainty that came from first comprehending the full Einstein field equations, arabesques of Greek letters clinging tenuously to the page, a gossamer web. They seemed insubstantial when you first saw them, a string of squiggles. Yet to follow the delicate tensors as they contracted, as the superscripts paired with subscripts, collapsing mathematically into concrete classical entities - potential; mass; forces vectoring in a curved geometry - that was a sublime experience. The iron fist of the real, inside the velvet glove of airy mathematics.
I can become very emotional about math, although I'm not that good at it.
Number theorists are like lotus-eaters -- having once tasted of this food they can never give it up.
Mathematicians are born, not made.
Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.
A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.
The mind uses its faculty for creativity only when experience forces it to do so.
Now I will have less distraction.
After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential.
One would be hard put to find a set of whole numbers with a more fascinating history and more elegant properties surrounded by greater depths of mystery--and more totally useless--than the perfect numbers.
I suppose I felt doomed to be an artist early on because of the way I drew all over the books that I needed for school, from ancient history to math. I was more interested in drawing in the margins than actually doing the work.
One minute I was playing chess and doing maths all the time, the next I had been rerouted into more 'normal' girls' activities: reading, writing stories and worrying about my clothes.
And for mathematical science, he that doubts their certainty hath need of a dose of hellebore.
I do not think we are ever going to be able to, for a long time, get the kind of quality of school personnel that we need in our schools, especially in the areas of science and math. One of the answers to that problem is to use more educational technology.
You live your life between your ears.
All the math you need in the stock market you get in the fourth grade.
Desire animates the world. It is present in the baby crying for milk, the girl struggling to solve a math problem, the woman running to meet her lover and later deciding to have children, and the old woman, hunched over her walker, moving down the hall of the nursing home at a glacial pace to pick up her mail. Banish desire from the world, and you get a world of frozen beings who have no reason to live and no reason to die.
Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations.
It is the story that matters, not just the ending.
Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them.
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