01634nam a2200313 i 4500991000830839707536050214s2001 dcua 001 0 eng d0883857227b13279610-39ule_instDip.to Matematicaeng511.321AMS 00A35AMS 00A07LC QA9.54.L33Laczkovich, Miklós621870Conjecture and proof /Miklós LaczkovichWashington, DC :Mathematical Association of America,c2001118 p. :ill. ;23 cmClassroom resource materialsIncludes indexPt. I:Proofs of impossibility, proofs of nonexistence ;Proofs of irrationality ;Elements of the theory of geometric constructions ;Constructible regular polygons ;Some basic facts about linear spaces and fields ;Algebraic and transcendental numbers ;Cauchy's functional equation ;Geometric decompositions Pt. II:Constructions, proofs of existence ;Pigeonhole principle ;Liouville numbers ;Countable and uncountable sets ;Isometries of R̂n ;Problem of invariant measures ;Banach-Tarski paradox ;Open and closed sets in R: the Cantor set ;Peano curve ;Borel sets ;Diagonal methodProof theory.b1327961002-04-1414-02-05991000830839707536LE013 00A LAC11 (2001)12013000288581le013pE30.50-l- 02020.i1404027x31-03-05Conjecture and proof1108204UNISALENTOle01314-02-05ma -engdcu00