TUTUROR ABSOLVENTILOR PROMOTIEI 2006 SUCCES !

A MATHEMATICIAN`S APOLOGY G.H. HARDY

Bibliografie www-history.mcs.st- and.ac.uk/~history/Biographies /Hardy.html _Hardy

“ I have never done anything useful…”

Masina Enigma

" 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. djoyce/java/elements/Eucl id.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 Newton

YOUNG`S MAN GAME Galois 21 ani

Evariste Galois ( ) Teoria grupurilor Rezolvabilitatea ecuatiilor algebrice prin radicali

YOUNG`S MAN GAME Abel 27 ani

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

YOUNG`S MAN GAME Ramanujan 33 ani

Ramanujan ( ) 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.”