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 Mikl 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.
If you want to solve some extremely challenging problems in math, you should defintely own it!! The problems are like many of the hardest qualifying exam problems that you take during your 2nd year at graduate school--math major. It would be helpful to improve your problems solving skills. The problems are harder and longer than the Putnam. But if you work out a few of them, you will find it easy to do the Putnam problems. Highly recommended anyone interested in problem soloving.
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