Unsolved Problems in Number Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1981
|
| Schriftenreihe: | Unsolved Problems in Intuitive Mathematics
1 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 class, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the increasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solution 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 by applicability. 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 if we don't live long enough to leam the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfect numbers. On the other hand, "unsolved" problems may not be unsolved at all, or may be much more tractable than was at first thought |
| Beschreibung: | 1 Online-Ressource (XVIII, 161 p) |
| ISBN: | 9781475717389 9781475717402 |
| ISSN: | 0941-3502 |
| DOI: | 10.1007/978-1-4757-1738-9 |
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| 500 | |a 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 class, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the increasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solution 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 by applicability. 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 if we don't live long enough to leam the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfect numbers. On the other hand, "unsolved" problems may not be unsolved at all, or may be much more tractable than was at first thought | ||
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Datensatz im Suchindex
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| author | Guy, Richard K. 1916-2020 |
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| author_sort | Guy, Richard K. 1916-2020 |
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| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-1738-9 |
| format | Electronic eBook |
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| isbn | 9781475717389 9781475717402 |
| issn | 0941-3502 |
| language | English |
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| spelling | Guy, Richard K. 1916-2020 Verfasser (DE-588)124655254 aut Unsolved Problems in Number Theory by Richard K. Guy New York, NY Springer New York 1981 1 Online-Ressource (XVIII, 161 p) txt rdacontent c rdamedia cr rdacarrier Unsolved Problems in Intuitive Mathematics 1 0941-3502 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 class, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the increasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solution 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 by applicability. 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 if we don't live long enough to leam the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfect numbers. On the other hand, "unsolved" problems may not be unsolved at all, or may be much more tractable than was at first thought Mathematics Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Ungelöstes Problem (DE-588)4186869-9 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Zahlentheorie (DE-588)4067277-3 s Ungelöstes Problem (DE-588)4186869-9 s 2\p DE-604 Unsolved Problems in Intuitive Mathematics 1 (DE-604)BV001894954 1 https://doi.org/10.1007/978-1-4757-1738-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Guy, Richard K. 1916-2020 Unsolved Problems in Number Theory Unsolved Problems in Intuitive Mathematics Mathematics Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd Ungelöstes Problem (DE-588)4186869-9 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4186869-9 (DE-588)4143389-0 |
| title | Unsolved Problems in Number Theory |
| title_auth | Unsolved Problems in Number Theory |
| title_exact_search | Unsolved Problems in Number Theory |
| title_full | Unsolved Problems in Number Theory by Richard K. Guy |
| title_fullStr | Unsolved Problems in Number Theory by Richard K. Guy |
| title_full_unstemmed | Unsolved Problems in Number Theory by Richard K. Guy |
| title_short | Unsolved Problems in Number Theory |
| title_sort | unsolved problems in number theory |
| topic | Mathematics Number theory Number Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd Ungelöstes Problem (DE-588)4186869-9 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Zahlentheorie Ungelöstes Problem Aufgabensammlung |
| url | https://doi.org/10.1007/978-1-4757-1738-9 |
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