Title: ????(??) Leopold Kronecker(1823~1891)
1????(??)Leopold Kronecker(18231891)
God made the natural numbers, all else is the
work of man.
2????The Crisis in Mathematics
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Everything is a number
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?????Pythagoras (ca 560ca 480 BC)
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7????Hippasus(???470???)
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????Eudoxus (409356 BC)
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? ma gt nb,? mc gt nd ? ma nb,? mc nd ? ma lt
nb,? mc lt nd
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13?????Aristotle (384-322 BC)
14????Euclid (ca. 325-ca. 270BC)
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21(No Transcript)
22 ??? ????????,???????,???????????????!
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25????(??)J.-le-R. dAlembert (17171783)
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27 ??,???????,????????????????????,??????,???
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???(??) Alexis-Claide Clairaut(17131765)
28?????(??)James Sylvester (18141897)
29???(??)Jakob Jacobi (18041851)
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30??(??)Augustin Cauchy (17891857)
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31??????(??) Karl Weierstrass (18151897)
32??(??)Karl F. Gauss (1777-1855)
33 ????!
34 ??????????(?????????)?,?????????????,????????
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????(??,Michael Stifel,14861867)
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- ??(??,Leonhard Euler, 17071783)
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40???(??) Joseph Liouville (18091882)
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42 ??? ???????(1872)
43- ?? ??????(??)??(a1 , a2 ,, an,)
an? a
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46The End