| 書目名稱 | Unsolved Problems in Number Theory | | 編輯 | Richard K. Guy | | 視頻video | http://file.papertrans.cn/943/942497/942497.mp4 | | 叢書名稱 | Problem Books in Mathematics | | 圖書封面 |  | | 描述 | 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 | | 出版日期 | Textbook 19811st edition | | 關(guān)鍵詞 | Arithmetic; Mersenne prime; Prime; Prime number; Zahlentheorie; function; mathematics; number theory; theore | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-1738-9 | | isbn_ebook | 978-1-4757-1738-9Series ISSN 0941-3502 Series E-ISSN 2197-8506 | | issn_series | 0941-3502 | | copyright | Springer Science+Business Media New York 1981 |
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