Contests in Higher Mathematics: Mikl�s Schweitzer Competitions 1962-1991 / Edition 1

by Gabor J. Szekely

Overview

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.

Product Details

ISBN-13:	9780387945880
Publisher:	Springer New York
Publication date:	12/06/1995
Series:	Problem Books in Mathematics
Edition description:	1996
Pages:	570
Product dimensions:	6.10(w) x 9.25(h) x 0.05(d)

Table of Contents

1. Problems of the Contests.- 2. Results of the Contests.- 3. Solutions to the Problems.- 3.1 Algebra (József Pelikán).- 3.2 Combinatorics (Ervin Gyüri).- 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 (Jenö Töröcsik).- 3.10 Topology (Gábor Moussong).- 3.11 Set Theory (Péter Komjáth).- Index of Names.