Mathematics Quotes
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To be a good programmer, you need to understand the principles of generic programming. To understand the principles of generic programming, you need to understand abstraction. To understand abstraction, you need to understand the mathematics on which it’s based.
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At its heart, music is all higher mathematics.
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But I quite like the way you can talk about science without necessarily using mathematics, but using metaphors instead.
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Perhaps the most surprising thing about mathematics is that it is so surprising.
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Numbers tend to give the impression that there's more order in the world than there is.
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I tell you that studying humanities in high school is more important than mathematics - mathematics is too sharp an instrument, no good for kids.
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As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas from other contexts, so as to develop a sense of the structure, not just familiarity with a particular tour through the structure.
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The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.
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It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.
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Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes.
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We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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Let no one ignorant of Mathematics enter here.
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Through music you can become sad, joyful, loving, you can learn. You can learn mathematics, touch, pacing... Oh my God! Ooh... Wow... You can see colors through music. Anything!
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Srinivasa Ramanujan was the strangest man in all of mathematics, probably in the entire history of science. He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis at the age of 33, like Riemann before him. Working in total isolation from the main currents of his field, he was able to rederive 100 years' worth of Western mathematics on his own. The tragedy of his life is that much of his work was wasted rediscovering known mathematics.
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A PhD in Mathematics is three years of guessing it wrong, plus one week of getting it right and writing a dissertation.
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Before a kid learns how to use a computer that can solve mathematical problems, he or she should know how to do arithmetic without a computer.
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We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.
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. . . She knew only that if she did or said thus-and-so, men would unerringly respond with the complimentary thus-and-so. It was like a mathematical formula and no more difficult, for mathematics was the one subject that had come easy to Scarlett in her schooldays.
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Mathematics is the science which draws necessary conclusions.
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The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.
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Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.
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Public space is for living, doing business, kissing, and playing. Its value can't be measured with economics or mathematics; it must be felt with the soul.
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I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
