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The applications of knowledge, especially mathematics, reveal the unity of all knowledge. In a new situation almost anything and everything you ever learned might be applicable, and the artificial divisions seem to vanish.
Richard Hamming
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Understanding the methods of calculus is vital to the creative use of mathematics... Without this mastery the average scientist or engineer, or any other user of mathematics, will be perpetually stunted in development, and will at best be able to follow only what the textbooks say; with mastery, new things can be done, even in old, well-established fields.
Richard Hamming
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It is obvious: The past was once the future and the future will become the past.
Richard Hamming
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Probability plays a central role in many fields, from quantum mechanics to information theory, and even older fields use probability now that the presence of "noise" is officially admitted. The newer aspects of many fields start with the admission of uncertainty.
Richard Hamming
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We constantly use the word "simplify", but its meaning depends on what you are going to do next, and there is no uniform definition.
Richard Hamming
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In the face of almost infinite useful knowledge, we have adopted the strategy of "information regeneration rather than information retrieval."... most importantly, you should be able to generate the result you need even if no one has ever done it before you—you will not be dependent on the past to have done everything you will ever need in mathematics.
Richard Hamming
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Probability and statistics are now so obviously necessary tools for understanding many diverse things that we must not ignore them even for the average student.
Richard Hamming
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If you expect to continue learning all your life, you will be teaching yourself much of the time. You must learn to learn, especially the difficult topic of mathematics.
Richard Hamming
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Much of present science rests on engineering tools, and as time goes on, engineering seems to involve more and more of the science part.... the two fields are growing together!... and now there is not enough time to allow us the leisure which comes from separating the two fields.
Richard Hamming
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Perhaps thinking should be measured not by what you do but by how you do it.
Richard Hamming
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Teachers should prepare the student for the student's future, not for the teacher's past.
Richard Hamming
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Statistics should be taught early so that the concepts are absorbed by the student's flexible, adaptable mind before it is too late.
Richard Hamming
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Just as there are odors that dogs can smell and we cannot, as well as sounds that dogs can hear and we cannot, so too there are wavelengths of light we cannot see and flavors we cannot taste. Why then, given our brains wired the way they are, does the remark, "Perhaps there are thoughts we cannot think," surprise you?
Richard Hamming
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The calculus is probably the most useful single branch of mathematics.... I have found the ability to do simple calculus, easily and reliably, was the most valuable part of mathematics I ever learned.
Richard Hamming
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Continuous distributions are basic to the theory of probability and statistics, and the calculus is necessary to handle them with any ease.
Richard Hamming
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There are so many ways of being wrong and so few ways of being right that it is much more economical to study successes.
Richard Hamming
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The beauty of mathematics often makes the subject matter much more attractive and easier to master.
Richard Hamming
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Apparently an "art"—which almost by definition cannot be put into words—is probably best communicated by approaching it from many sides and doing so repeatedly, hoping thereby students will finally master enough of the art, or if you wish, style, to significantly increase their future contributions to society.
Richard Hamming
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Most mathematics books are filled with finished theorems and polished proofs, and to a surprising extent they ignore the methods used to create mathematics. It is as if you merely walked through a picture gallery and never told how to mix paints, how to compose pictures, or all the other "tricks of the trade."
Richard Hamming
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The Postulates of Mathematics Were Not on the Stone Tablets that Moses Brought Down from Mt. Sinai.
Richard Hamming
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The more complex the designed system the more field maintenance must be central to the final design. Only when field maintenance is part of the original design can it be safely controlled... This applies to both mechanical things and to human organizations.
Richard Hamming
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Theorems... record more complex patterns of thinking that once shown to be valid need not be repeated every time they are needed.
Richard Hamming
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Most of the time each person is immersed in the details of one special part of the whole and does not think of how what they are doing relates to the larger picture. For example, in education, a teacher might say in the next class he was going to "explain Young's modulus and how to measure it," rather than, "I am going to educate the students and prepare them for their future careers".
Richard Hamming
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There is no agreed upon definition of mathematics, but there is widespread agreement that the essence of mathematics is extension, generalization, and abstraction... [which] often bring increased confidence in the results of a specific application, as well as new viewpoints.
Richard Hamming
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Calculus is the mathematics of change.... Change is characteristic of the world.
Richard Hamming
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Quote of the day
Tragedy is when I cut my finger. Comedy is when you fall into an open sewer and die.
Mel Brooks
Richard Hamming
Wikipedia
Born:
February 11, 1915
Died:
January 7, 1998
(aged 82)
Bio:
Richard Wesley Hamming was an American mathematician whose work had many implications for computer engineering and telecommunications.
Known for:
Introduction To Applied Numerical Analysis (1971)
Most used words:
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engineering
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probability
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future
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time
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theory
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course
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you
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learning
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life
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learn
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fields
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computer
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calculus
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