TUTUROR ABSOLVENTILOR PROMOTIEI 2006 SUCCES !. A MATHEMATICIAN`S APOLOGY G.H. HARDY 1877-1947.
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Transcript of TUTUROR ABSOLVENTILOR PROMOTIEI 2006 SUCCES !. A MATHEMATICIAN`S APOLOGY G.H. HARDY 1877-1947.
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TUTUROR ABSOLVENTILOR PROMOTIEI 2006
SUCCES !
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A MATHEMATICIAN`S APOLOGY
G.H. HARDY1877-1947
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Bibliografie
www-history.mcs.st-and.ac.uk/~history/Biographies/Hardy.html
www.math.ualberta.ca/mss/
http://en.wikipedia.org/wiki/G._H._Hardy
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“I have never done anything useful…”
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"No one has yet discovered any warlike purpose to be served by the theory of numbers or relativity, and it seems unlikely that anyone will do so for many years."
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ELEMENTE IX 20
Sirul numerelor naturale este infinit.
http://aleph0.clarku.edu/~djoyce/java/elements/Euclid.html
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Reductio ad absurdum
Sa alegem P cel mai mare numar prim.
Q=(2 .3….P)+1> P
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“The proof is by reductio ad absurdum, and reductio ad absurdum, which Euclid loved so much, is one of a mathematician’s finest weapons. It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers THE GAME.”
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Demonstratia lui Pitagora pentru irationalitatea lui √2
√2=a/b
2=(a/b)^2
a^2=2 *b^2
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Alte exemple:
Teorema fundamentala a aritmeticii
Teorema lui Fermat: numerele prime care se scriu ca suma de doua patrate
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YOUNG`S MAN GAME
Galois 21 ani
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Evariste Galois (1811-1832)
Teoria grupurilorRezolvabilitatea
ecuatiilor algebrice prin radicali
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YOUNG`S MAN GAME
Abel 27 ani
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Niels Abel (1802 - 1829)
1824: Abel a demonstrat imposibilitatea
rezolvarii prin radicali a ecuatiei generale de
gradul 5
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YOUNG`S MAN GAME
Ramanujan 33 ani
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Ramanujan (1887 - 1920)
Teoria analitica a numerelor
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YOUNG`S MAN GAME
Riemann 40 ani
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YOUNG`S MAN GAME
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“The mathematician's pattern's, like those of the painter's or the poet's, must be beautiful, the ideas, like the colors or the words, must fit together in a harmonious way.”
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G. H. Hardy
“There is no permanent place in the world for ugly mathematics.”