Title | Contests in Higher Mathematics [electronic resource] : Miklรณs Schweitzer Competitions 1962-1991 / edited by Gรกbor J. Szรฉkely |
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Imprint | New York, NY : Springer New York : Imprint: Springer, 1996 |

Connect to | http://dx.doi.org/10.1007/978-1-4612-0733-7 |

Descript | VII, 570 p. online resource |

SUMMARY

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 Miklรณs 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

CONTENT

1. Problems of the Contests -- 2. Results of the Contests -- 3. Solutions to the Problems -- 3.1 Algebra (Jรณzsef Pelikรกn) -- 3.2 Combinatorics (Ervin Gy?ri) -- 3.3 Theory of Functions (Jรกnos Bognรกr and Vilmos Totik) -- 3.4 Geometry (Balรกzs Csikรณs) -- 3.5 Measure Theory (Jรกnos Bognรกr) -- 3.6 Number Theory (Imre Z. Ruzsa) -- 3.7 Operators (Jรกnos Bognรกr) -- 3.8 Probability Theory (Gabriella Szรฉp) -- 3.9 Sequences and Series (Jen? Tรถr?csik) -- 3.10 Topology (Gรกbor Moussong) -- 3.11 Set Theory (Pรฉter Komjรกth) -- Index of Names

Mathematics
Algebra
Mathematical analysis
Analysis (Mathematics)
Geometry
Combinatorics
Mathematics
Algebra
Combinatorics
Analysis
Geometry