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TUTUROR ABSOLVENTILOR PROMOTIEI 2006 SUCCES !. A MATHEMATICIAN`S APOLOGY G.H. HARDY 1877-1947.

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Presentation on theme: "TUTUROR ABSOLVENTILOR PROMOTIEI 2006 SUCCES !. A MATHEMATICIAN`S APOLOGY G.H. HARDY 1877-1947."— Presentation transcript:

1 TUTUROR ABSOLVENTILOR PROMOTIEI 2006 SUCCES !

2 A MATHEMATICIAN`S APOLOGY G.H. HARDY 1877-1947

3 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

4 “ I have never done anything useful…”

5 Masina Enigma

6 " 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."

7 ELEMENTE IX 20 Sirul numerelor naturale este infinit. http://aleph0.clarku.edu/~ djoyce/java/elements/Eucl id.html

8 Reductio ad absurdum Sa alegem P cel mai mare numar prim. Q=(2.3….P)+1> P

9 “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.”

10 Demonstratia lui Pitagora pentru irationalitatea lui √2 √2=a/b 2=(a/b)^2 a^2=2 *b^2

11 Alte exemple: Teorema fundamentala a aritmeticii Teorema lui Fermat: numerele prime care se scriu ca suma de doua patrate

12 YOUNG`S MAN GAME Newton

13 YOUNG`S MAN GAME Galois 21 ani

14 Evariste Galois (1811-1832) Teoria grupurilor Rezolvabilitatea ecuatiilor algebrice prin radicali

15 YOUNG`S MAN GAME Abel 27 ani

16 Niels Abel (1802 - 1829) 1824: Abel a demonstrat imposibilitatea rezolvarii prin radicali a ecuatiei generale de gradul 5

17 YOUNG`S MAN GAME Ramanujan 33 ani

18 Ramanujan (1887 - 1920) Teoria analitica a numerelor

19 YOUNG`S MAN GAME Riemann 40 ani

20 YOUNG`S MAN GAME

21 “ 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.”

22 G. H. Hardy “There is no permanent place in the world for ugly mathematics.”


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