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＜電子ブック＞
Unsolved Problems in Number Theory / by Richard Guy, R.K. Guy
(Unsolved Problems in Intuitive Mathematics ; 1)

版	1st ed. 1981.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1981
本文言語	英語
大きさ	XVIII, 161 p. 9 illus : online resource
著者標目	*Guy, Richard author Guy, R.K author SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Discrete mathematics FREE:Number Theory FREE:Discrete Mathematics
一般注記	A. Prime Numbers -- B. Divisibility -- C. Additive Number Theory -- D. Some Diophantine Equations -- E. Sequences of Integers -- F. None of the Above -- Index of Authors Cited -- General Index To many laymen, mathematicians appear to be problem solvers, people who do "hard sums". Even inside the profession we dassify ourselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the in­ creasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solu­ tion of a problem may stifte interest in the area around it. But "Fermat's Last Theorem", because it is not yet a theorem, has generated a great deal of "good" mathematics, whether goodness is judged by beauty, by depth or byapplicability. To pose good unsolved problems is a difficult art. The balance between triviality and hopeless unsolvability is delicate. There are many simply stated problems which experts tell us are unlikely to be solved in the next generation. But we have seen the Four Color Conjecture settled, even ifwe don't live long enough to leam the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfeet numbers. On the other hand, "unsolved" problems may not be unsolved at all, or may be much more tractable than was at first thought HTTP:URL=https://doi.org/10.1007/978-1-4757-1738-9

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