The Schweitzer competition is one of the most unique in the world.Win-ners of the contests have gone on to become world-class scientists.Thus,the Schweitzer Conetsts are of interest to both math historians and mathe-maticians of all ages.They serve sa reflections of Hungarian mathematical trends and as starting points for many interesting research problems in mathematics.The Schweitzer problems between 1949 and 1961 were previ-ously published under the title Contests in Higher Mathematics,1949-1961(Akademiai kiado,Budapest,1968Chapter4 of this book summarizes the mathematical work of M.Schweitzer).Our book is a continuation of that volume.