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One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.
One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.
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Inside This Book
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First Sentence:
1. Let f and g be polynomials with rational coefficients, and let F and G denote the sets of values of f and g at rational numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
inductional hypothesis, countably infinite vertex set, positive reducible, metric direct product, many subwords, homothetic triangles, red integers, commutator series, angular domains, interval filling, green integers, polynomials with integral coefficients, proper normal subgroup, uncountable subset, fundamental parallelogram, transfinite recursion, base polygon, transitive subgroup, torsion group, upper density, periodic chain, smallest ordinal, class intersections Key Phrases - Capitalized Phrases (CAPs): (learn more)
László Lovász, New York, László Babai, Akadémiai Kiadó, Lajos Pósa, Miklós Simonovits, Péter Gács, Béla Bollobás, József Pelikán, Nándor Simányi, Ákos Seress, Emil Kiss, Endre Makai, Gábor Halász, Gábor Tardos, János Kollár, László Erdös, Miklós Laczkovich, Vilmos Totik, Zoltán Magyar, Zoltán Szabó, Attila Máté, Balázs Csikós, Ervin Györi, Márió Szegedy New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
1. Let f and g be polynomials with rational coefficients, and let F and G denote the sets of values of f and g at rational numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
inductional hypothesis, countably infinite vertex set, positive reducible, metric direct product, many subwords, homothetic triangles, red integers, commutator series, angular domains, interval filling, green integers, polynomials with integral coefficients, proper normal subgroup, uncountable subset, fundamental parallelogram, transfinite recursion, base polygon, transitive subgroup, torsion group, upper density, periodic chain, smallest ordinal, class intersections Key Phrases - Capitalized Phrases (CAPs): (learn more)
László Lovász, New York, László Babai, Akadémiai Kiadó, Lajos Pósa, Miklós Simonovits, Péter Gács, Béla Bollobás, József Pelikán, Nándor Simányi, Ákos Seress, Emil Kiss, Endre Makai, Gábor Halász, Gábor Tardos, János Kollár, László Erdös, Miklós Laczkovich, Vilmos Totik, Zoltán Magyar, Zoltán Szabó, Attila Máté, Balázs Csikós, Ervin Györi, Márió Szegedy New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 33
books:
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- Algebraic Probability Theory (Wiley Series in Probability and Statistics) by Imre Z. Ruzsa on page 440, and page 445
- Theory of the Integral (Phoenix Edition) by Stanislaw Saks on page 330, and page 336
- General Topology by Rysxard Engelking on page 533, and page 537
- Constructive Function Theory. Volume III: Interpolation and Approximation Quadratures by I. P. Natanson on page 168, and page 479
- Divergent Series (AMS Chelsea Publishing) by G. H. Hardy on page 217, and page 484
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