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TUTUROR ABSOLVENTILOR PROMOTIEI 2006
SUCCES !
A MATHEMATICIAN`S APOLOGY
G.H. HARDY1877-1947
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
“I have never done anything useful…”
"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."
ELEMENTE IX 20
Sirul numerelor naturale este infinit.
http://aleph0.clarku.edu/~djoyce/java/elements/Euclid.html
Reductio ad absurdum
Sa alegem P cel mai mare numar prim.
Q=(2 .3….P)+1> P
“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.”
Demonstratia lui Pitagora pentru irationalitatea lui √2
√2=a/b
2=(a/b)^2
a^2=2 *b^2
Alte exemple:
Teorema fundamentala a aritmeticii
Teorema lui Fermat: numerele prime care se scriu ca suma de doua patrate
YOUNG`S MAN GAME
Galois 21 ani
Evariste Galois (1811-1832)
Teoria grupurilorRezolvabilitatea
ecuatiilor algebrice prin radicali
YOUNG`S MAN GAME
Abel 27 ani
Niels Abel (1802 - 1829)
1824: Abel a demonstrat imposibilitatea
rezolvarii prin radicali a ecuatiei generale de
gradul 5
YOUNG`S MAN GAME
Ramanujan 33 ani
Ramanujan (1887 - 1920)
Teoria analitica a numerelor
YOUNG`S MAN GAME
Riemann 40 ani
YOUNG`S MAN GAME
“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.”
G. H. Hardy
“There is no permanent place in the world for ugly mathematics.”
