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＜電子ブック＞
Contests in Higher Mathematics : Miklós Schweitzer Competitions 1962–1991 / edited by Gabor J. Szekely
(Problem Books in Mathematics. ISSN:21978506)

版	1st ed. 1996.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1996
本文言語	英語
大きさ	VII, 570 p : online resource
著者標目	Szekely, Gabor J editor SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Discrete mathematics LCSH:Mathematical analysis LCSH:Geometry FREE:Algebra FREE:Discrete Mathematics FREE:Analysis FREE:Geometry
一般注記	1. Problems of the Contests -- 2. Results of the Contests -- 3. Solutions to the Problems -- 3.1 Algebra (József Pelikán) -- 3.2 Combinatorics (Ervin Gy?ri) -- 3.3 Theory of Functions (János Bognár and Vilmos Totik) -- 3.4 Geometry (Balázs Csikós) -- 3.5 Measure Theory (János Bognár) -- 3.6 Number Theory (Imre Z. Ruzsa) -- 3.7 Operators (János Bognár) -- 3.8 Probability Theory (Gabriella Szép) -- 3.9 Sequences and Series (Jen? Tör?csik) -- 3.10 Topology (Gábor Moussong) -- 3.11 Set Theory (Péter Komjáth) -- Index of Names 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-0733-7

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