LEADER 04213nam 2200625Ia 450 001 9910461922403321 005 20200520144314.0 010 $a0-88385-956-4 035 $a(CKB)2670000000205133 035 $a(EBL)3330389 035 $a(SSID)ssj0000577647 035 $a(PQKBManifestationID)11376744 035 $a(PQKBTitleCode)TC0000577647 035 $a(PQKBWorkID)10561792 035 $a(PQKB)10961473 035 $a(UkCbUP)CR9780883859568 035 $a(MiAaPQ)EBC3330389 035 $a(Au-PeEL)EBL3330389 035 $a(CaPaEBR)ebr10729360 035 $a(OCoLC)817962394 035 $a(EXLCZ)992670000000205133 100 $a20010326d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHungarian problem book III$b[electronic resource] $ebased on the Eotvos Competition, 1929-1943 /$fcompiled by G. Hajos, G. Neukomm, and J. Suranyi ; translated and edited by Andy Liu 210 $aWashington, DC $cMathematical Association of America$dc2001 215 $a1 online resource (161 p.) 225 0 $aAnneli Lax new mathematical library ;$vv. 42 300 $aIncludes indexes. 311 $a0-88385-644-1 327 $a""Cover ""; ""Copyright page ""; ""Title page ""; ""Foreword by Jozsef Pelikan ""; ""Contents""; ""Preface""; ""Problem Index""; ""List of Winners""; ""1 Eotvos Mathematics Competition Problems""; ""1929""; ""1930""; ""1931""; ""1932""; ""1933""; ""1934""; ""1935""; ""1936""; ""1937""; ""1938""; ""1939""; ""1940""; ""1941""; ""1942""; ""1943""; ""2 Combinatorics Problems""; ""2.1 Discussion""; ""2.1.1 Problem-solving""; ""2.1.2 Graph Theory""; ""2.1.3 Enumeration Techniques""; ""2.1.4 Finite and Infinite Sets""; ""2.2 Solutions""; ""3 Number Theory Problems""; ""3.1 Discussion"" 327 $a""3.1.1 Mathematical Induction""""3.1.2 Divisibility""; ""3.1.3 Congruence""; ""3.1.4 More Combinatorics""; ""3.2 Solutions""; ""4 Algebra Problems""; ""4.1 Discussion""; ""4.1.1 Inequalities""; ""4.1.2 The Rearrangement Inequality""; ""4.2 Solutions""; ""5 Geometry Problems Part I""; ""5.1 Discussion""; ""5.1.1 Geometric Congruence and Inequalities""; ""5.1.2 Parallelism""; ""5.1.3 Centers of a Triangle""; ""5.1.4 Area and Similarity""; ""5.2 Solutions""; ""6 Geometry Problems Part II""; ""6.1 Discussion""; ""6.1.1 Circles""; ""6.1.2 Coordinate Geometry""; ""6.1.3 Trigonometry"" 327 $a""6.1.4 Vectors and Complex Numbers""""6.1.5 Solid Geometry""; ""6.2 Solutions""; ""Theorem Index""; ""Term Index""; ""Problem Index"" 330 $aThe Eo?tvo?s Mathematics Competition is the oldest high school mathematics competition in the world, with a tradition dating back to 1894. In 1963, the first two of the Hungarian problem books were published in the New Mathematical Library by the MAA. This book is continuation of those volumes, taking the competition up through 1943. In the Hungarian Problem Book III, forty-five problems in all are presented in six chapters. Problems are classified into five groups: combinatorics, number theory, algebra, and geometry (in two parts). Multiple solutions are presented along with background material providing generalizations and remarks about the problems. This book is intended for beginners, although the experienced student will find much here. Beginners are encouraged to work the problems in each section and then to compare their results against the solutions presented in the book. They will find much material in each section to aid them in improving their problem-solving techniques. 410 0$aAnneli Lax New Mathematical Library 606 $aMathematics$vProblems, exercises, etc 606 $aProblem solving 608 $aElectronic books. 615 0$aMathematics 615 0$aProblem solving. 676 $a510/.76 700 $aHajo?s$b Gyo?rgy$0366360 701 $aNeukomm$b G$047503 701 $aSura?nyi$b Ja?nos$f1918-$0352676 701 $aLiu$b Chiang-Fung Andrew$0860042 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461922403321 996 $aHungarian problem book III$91919051 997 $aUNINA