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Download e-book for kindle: Adventures in Card Play by Hugh Kelsey, Geza Ottlik

By Hugh Kelsey, Geza Ottlik

ISBN-10: 0304368075

ISBN-13: 9780304368075

Geza Ottlik had a notable expertise for locating and examining unusual and interesting features of card play in bridge. This great e-book is the results of his collaboration with Hugh Kelsey—whose ability at high-level research of bridge difficulties used to be equalled basically by means of his ability as an instructive writer. Adventures in Card Play is universally considered as one of many all-time nice classics of bridge.

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Two of these questions are: Is there always at least one prime between the squares of two successive integers? And are there are an infinite number of pairs of twin primes? Consider briefly the first question. The prime number 3 lies between 12 and 22. The primes 5 and 7 lie between 22 and 32. The primes 11 and 13 lie between 32 and 42. 1 The second question relates to twin primes. Twin primes are 3 and 5, 5 and 7, 11 and 13, 17 and 19, 29 and 31, and so on. They are named “twin” primes because only the number two separates the pair of primes in question.

Despite this, it appears that European mathematicians were not greatly interested in binary numbers. That changed, however, in 1854. In that year, the British mathematician George Boole (1815–1864), discovered a form of algebraic system of logic, which today is known as Boolean algebra. No one, including Boole, thought it would have any practical use. However, in 1937 a young student at the Massachusetts Institute of Technology named Claude Shannon (1916–2001) realized that Boolean algebra was perfectly suited to the workings of an electric circuit.

For all we know, there may be an even number somewhere beyond 10100, for instance, that cannot be expressed as the sum of two primes. Maybe it is the only such even number. Maybe there are a limited number of them. Or perhaps there are an infinite number of them scattered far out along the number line. We just don't know. Much progress on Goldbach's conjecture has been made over the years. In 1937, the Russian mathematician Ivan Matveyevich Vinogradov (1891–1983) proved that every sufficiently large odd number can be expressed as the sum of three primes.

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Adventures in Card Play by Hugh Kelsey, Geza Ottlik


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