thalis
DESCRIPTION
A great book from an even greater author. A must fo the library of any devoted problem solver. Enormous collection of problems. Both IMO and Putnam style problems.TRANSCRIPT
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106 79 . 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected] www.hms.gr
GREEK MATHEMATICAL SOCIETY 34, Panepistimiou (leftheriou Venizelou) Street
GR. 106 79 - Athens - HELLAS Tel. 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected] www.hms.gr
73
20 2012
1. : 0 , , : 0 2. (12,30,54)=6: 1 : 2 ( ) 1 . 3. () : 3 : , . () : ( )
4. 2 = : 1
2 = : 2
: 1 . 1. : 2 : 2 :1 2. : 2 : 2 : 1 . 3. : 1 : 1 : 1 1
6 2 = 1
3 2 = : 1
: 1
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4. 2x 2y : 2 ( ) ,x y . (). 1. 3 2 . 2. : 3 , : 1 1 . 3. : 1 . : 1 4 < < : 2 3 3 = = . . 4. = = 3 , . 1. ( ) 2. : 1 . : 1 4< < : 1 . 2 2 = = ( ). .
3. : 3 5 7x y z= = 3 , 5 , 7x y z = = =
. . 4. 3 : 21 MM = ( ) 1 N,T,A 1 .
1. 2 ( )11 2 3 ...2
x xx
++ + + + = 3 . 2. 2 4c b a = 3 . 3. : 7y z
x y z= = 3 27 , 7 , 7x y z = = =
. . 4. , ,A C S , ,A B T ( ) : 2 . , ,K A S , ,N A B ( ): 2