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…”

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.

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

Newton

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.”