It is amazing to trace how the level of difficulty of the problems and even their nature changed with time: problems of the first Olympiads are of the “standard-schoolish” nature (cf. More than half-a-century-long history of MMO is a good deal of the history of the Soviet high school, history of mathematical education and interactive work with students interested in mathematics. Visits of students from other towns started the expansion of the range of the Moscow Math Olympiad to the whole country, and, later, to the whole Earth: as International Olympiads.
Still, for all these years the “most main” olympiad in the country was traditionally and actually the Moscow Math Olympiad. Tolpygo) The oldest of the USSR Math Olympiads is the Leningrad High-school Olympiad launched in 1934 (the Moscow Math Olympiad runs since 1935). History and Contemporaneity” (a review of MOSCOW MATHEMATICAL OLYMPIADS compiled by G. He is well-known as the author of several amazingly popular books on planimetry and solid geometry for high-school students.įrom I.M. Figures are sketched under supervision of Victor Prasolov, Reader at the Independent University of Moscow. Fomenko is very well known for his drawings and paintings illustrating the wonders of math. The book is illustrated by Anatoly Fomenko, Corresponding Member of the Russian Academy of Sciences, Professor of Mathematics of Moscow University. For this complete English edition Pavel Grozman and Alexander Shapovalov (a first and a third prize winners at the 19 International Mathematical Olympiads, respectively) wrote about 200 new solutions each. The abriged Russian version of the book was complied by Gregory Galperin, one of the authors of a great part of the problems offered at Moscow Mathematical Olympiads (an expert in setting olympiad-type problems) and Alexei Tolpygo, a former winner of the Moscow, National and International Olympiads (an expert in solving mathematical problems).
This is the first book which contains complete solutions to all these problems (unless a hint is ample, in which case it is dutifully given). In Russia, where sports and mathematics are taken seriously, more than 1,000,000 copies of an abridged version of a part of this book has been sold in one year. The Moscow Mathematical Olympiad was less known outside Russia than the “All-Union” (i.e., National, the USSR), or the International Olympiad but the problems it offers are on the whole rather more difficult and, therefore, it was more prestigious to win at. Besides, there are added about a hundred selected problems of mathematical circles (also with solutions) used for coaching before Olympiads. The book contains more than all the problems with complete solutions of Moscow Mathematical Olympiads starting from their beginning: some problems are solved under more general assumptions than planned during the Olympiad there extensions are sometimes indicated. A relation of some of the problems to “serious” mathematics is mentioned. The book also contains some history of Moscow Mathematical Olympiads and reflections on mathematical olympiads and mathematical education in the Soviet Union (the experience that might be of help to western teachers and students). The complete answers to all problems will facilitate the latter to coach the former. But it was primarily intended for high school students who like mathematics (even for those who, perhaps, are unaware of it yet) and to their teachers. It might interest university students or even scientists. The book can be useful to all teachers and instructors heading optional courses and mathematical groups. Leites Computer-drawn figures byĪbstract Nowadays, in the time when the level of teaching universally decreases and “pure” science does not appeal as it used to, this book can attract new students to mathematics. Fomenko Translated from the Russian by D. 60-odd YEARS of MOSCOW MATHEMATICAL OLYMPIADS Edited by D.
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