TUTUROR ABSOLVENTILOR PROMOTIEI 2006

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TUTUROR ABSOLVENTILOR PROMOTIEI 2006

• SUCCES !

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A MATHEMATICIANS APOLOGY

• G.H. HARDY
• 1877-1947

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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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Masina Enigma
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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/Eu
  clid.html

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Reductio ad absurdum

• Sa alegem P cel mai mare numar prim.
• Q(2 .3.P)1gt 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 mathematicians 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 v2

• v2a/b
• 2(a/b)2
• a22 b2

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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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YOUNGS MAN GAME

• Newton

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YOUNGS MAN GAME

• Galois 21 ani

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Evariste Galois (1811-1832)

• Teoria grupurilor
• Rezolvabilitatea ecuatiilor algebrice prin
  radicali

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YOUNGS 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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YOUNGS MAN GAME

• Ramanujan 33 ani

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Ramanujan (1887 - 1920)

• Teoria analitica a numerelor

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YOUNGS MAN GAME

• Riemann 40 ani

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YOUNGS 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.