1089 and All That: A Journey Into Mathematics by David Acheson
Author:David Acheson [Acheson, David]
Language: eng
Format: epub
Tags: Science, General, Mathematics, Applied, Juvenile Nonfiction, Games & Activities, Puzzles, History & Philosophy
ISBN: 9780199590025
Google: -WhNEmJZuWwC
Amazon: 0199590028
Publisher: OUP Oxford
Published: 2010-10-21T12:00:40.829209+00:00
Take a sheet of paper ruled with straight lines a distance d apart, and drop on to it a straight pin, also of length d. Then the probability that the pin will lie across one of the lines is 2/π.
No pins to hand? Then you could try tossing a coin a few times. (Well, rather a lot of times, actually.) If you toss a coin 2n times, where n is very large, then the probability of getting exactly n heads and exactly n tails is approximately .
No coins either? Then you could just ask two friends to choose a lot of whole numbers; the probability that any two positive integers, chosen at random, have no common factor (other than 1) is 6/π2.
It all seems a long way from
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Algebra | Calculus |
Combinatorics | Discrete Mathematics |
Finite Mathematics | Fractals |
Functional Analysis | Group Theory |
Logic | Number Theory |
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