Contests in Higher Mathematics

Miklós Schweitzer Competitions 1962–1991

  • Gábor J. Székely

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Gábor J. Székely
    Pages 1-48
  3. Gábor J. Székely
    Pages 49-53
  4. Gábor J. Székely
    Pages 55-563
  5. Back Matter
    Pages 565-570

About this book


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.


Combinatorics Topology algebra function geometry mathematics measure operator theory

Editors and affiliations

  • Gábor J. Székely
    • 1
  1. 1.Department of MathematicsEötvös Loránd and Technical UniversityBudapestHungary

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1996
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6886-4
  • Online ISBN 978-1-4612-0733-7
  • Series Print ISSN 0941-3502
  • About this book