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" As long as a branch of science offers an abundance of problems, so long is it alive; a lack of problems foreshadows extinction or the cessation of independent development. Just as every human undertaking pursues certain objects, so also mathematical research... "
Modern Graph Theory - vi. oldal
szerző: Béla Bollobás - 1998 - 394 oldal
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Bulletin of the American Mathematical Society

1902 - 602 oldal
...lack of problems foreshadows extinction or the cessation of independent development. Just as every human undertaking pursues certain objects, so also...new outlooks, and gains a wider and freer horizon. It is difficult and often impossible to judge the value of a problem correctly in advance : for the...

Hilbert-Courant

Constance Reid - 1986 - 620 oldal
...approval of Prof. Hilbert. 74 development. Just as every human undertaking pursues certain objectives, so also mathematical research requires its problems. It is by the solution of problems that the strength of the investigator is hardened; he finds new methods and new outlooks, and gains a wider...
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Hilbert

Constance Reid - 1996 - 272 oldal
...approval of Prof. Hilbert. 74 development. Just as every human undertaking pursues certain objectives, so also mathematical research requires its problems. It is by the solution of problems that the strength of the investigator is hardened; he finds new methods and new outlooks, and gains a wider...
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The Hilbert Challenge

Jeremy Gray - 2000 - 340 oldal
...the cessation of independent development. Just as every human undertaking pursues certain objectives, so also mathematical research requires its problems. It is by the solution of problems that the strength of the investigator is hardened; he finds new methods and new outlooks, and gains a wider...
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The Way It Was: Mathematics from the Early Years of the Bulletin

Donald Saari - 2003 - 336 oldal
...lack of problems foreshadows extinction or the cessation of independent development. Just as every human undertaking pursues certain objects, so also...new outlooks, and gains a wider and freer horizon. It is difficult and often impossible to judge the value of a problem correctly in advance; for the...
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Algebraic Theory of Locally Nilpotent Derivations

Gene Freudenburg - 2007 - 261 oldal
...= Xi — (1 — i)sDxi. Question 10.21. Can every nice Gm-action on A™ be linearized? 11 Epilogue It is by the solution of problems that the investigator...new outlooks, and gains a wider and freer horizon. ...for he who seeks for methods without having a definite problem in mind seeks for the most part in...
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