LEADER 01634nam a2200313 i 4500 001 991000830839707536 008 050214s2001 dcua 001 0 eng d 020 $a0883857227 035 $ab13279610-39ule_inst 040 $aDip.to Matematica$beng 082 0 $a511.3$221 084 $aAMS 00A35 084 $aAMS 00A07 084 $aLC QA9.54.L33 100 1 $aLaczkovich, Miklós$0621870 245 10$aConjecture and proof /$cMiklós Laczkovich 260 $aWashington, DC :$bMathematical Association of America,$cc2001 300 $a118 p. :$bill. ;$c23 cm 440 0$aClassroom resource materials 500 $aIncludes index 505 0 $gPt. I:$tProofs of impossibility, proofs of nonexistence ;$tProofs of irrationality ;$tElements of the theory of geometric constructions ;$tConstructible regular polygons ;$tSome basic facts about linear spaces and fields ;$tAlgebraic and transcendental numbers ;$tCauchy's functional equation ;$tGeometric decompositions 505 0 $gPt. II:$tConstructions, proofs of existence ;$tPigeonhole principle ;$tLiouville numbers ;$tCountable and uncountable sets ;$tIsometries of R?n ;$tProblem of invariant measures ;$tBanach-Tarski paradox ;$tOpen and closed sets in R: the Cantor set ;$tPeano curve ;$tBorel sets ;$tDiagonal method 650 0$aProof theory 907 $a.b13279610$b02-04-14$c14-02-05 912 $a991000830839707536 945 $aLE013 00A LAC11 (2001)$g1$i2013000288581$lle013$op$pE30.50$q-$rl$s- $t0$u2$v0$w2$x0$y.i1404027x$z31-03-05 996 $aConjecture and proof$91108204 997 $aUNISALENTO 998 $ale013$b14-02-05$cm$da $e-$feng$gdcu$h0$i0