04213nam 2200625Ia 450 991046192240332120200520144314.00-88385-956-4(CKB)2670000000205133(EBL)3330389(SSID)ssj0000577647(PQKBManifestationID)11376744(PQKBTitleCode)TC0000577647(PQKBWorkID)10561792(PQKB)10961473(UkCbUP)CR9780883859568(MiAaPQ)EBC3330389(Au-PeEL)EBL3330389(CaPaEBR)ebr10729360(OCoLC)817962394(EXLCZ)99267000000020513320010326d2001 uy 0engur|n|---|||||txtccrHungarian problem book III[electronic resource] based on the Eotvos Competition, 1929-1943 /compiled by G. Hajos, G. Neukomm, and J. Suranyi ; translated and edited by Andy LiuWashington, DC Mathematical Association of Americac20011 online resource (161 p.)Anneli Lax new mathematical library ;v. 42Includes indexes.0-88385-644-1 ""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""""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""""6.1.4 Vectors and Complex Numbers""""6.1.5 Solid Geometry""; ""6.2 Solutions""; ""Theorem Index""; ""Term Index""; ""Problem Index""The Eötvös 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.Anneli Lax New Mathematical LibraryMathematicsProblems, exercises, etcProblem solvingElectronic books.MathematicsProblem solving.510/.76Hajós György366360Neukomm G47503Surányi János1918-352676Liu Chiang-Fung Andrew860042MiAaPQMiAaPQMiAaPQBOOK9910461922403321Hungarian problem book III1919051UNINA