Contests in Higher Mathematics: Miklós Schweitzer Competitions 1962-1991 / Edition 1

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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 Miklo's 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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Product Details

  • ISBN-13: 9780387945880
  • Publisher: Springer New York
  • Publication date: 12/6/1995
  • Series: Problem Books in Mathematics Series
  • Edition description: 1996
  • Edition number: 1
  • Pages: 570
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.31 (d)

Table of Contents

Preface
Ch. 1 Problems of the Contests 1
Ch. 2 Results of the Contests 49
Ch. 3 Solutions to the Problems 55
3.1 Algebra 55
3.2 Combinatorics 121
3.3 Theory of Functions 150
3.4 Geometry 244
3.5 Measure Theory 330
3.6 Number Theory 362
3.7 Operators 388
3.8 Probability Theory 404
3.9 Sequences and Series 465
3.10 Topology 517
3.11 Set Theory 552
Index of Names 565
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