60 Odd Years of Moscow Mathematical Olympiads

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From the Preface: This is the first complete compilation of the problems from Moscow Mathematical Olympiads with solutions of ALL problems. It is based on previous Russian selections: [SCY], [Le] and [GT]. The first two of these books contain selected problems of Olympiads 1–15 and 1–27, respectively, with painstakingly elaborated solutions. The book [GT] strives to collect formulations of all (cf. Historical remarks) problems of Olympiads 1–49 and solutions or hints to most of them. For whom is this book? The success of its Russian counterpart [Le], [GT] with their 1,000,000 copies sold should not decieve us: a good deal of the success is due to the fact that the prices of books, especially text-books, were increadibly low (< 0.005 of the lowest salary.) Our audience will probably be more limited. However, we address it to ALL English-reading teachers of mathematics who could suggest the book to their students and libraries: we gave understandable solutions to ALL problems.

Author(s): D. Leites (ed.), G. Galperin, A. Tolpygo, P. Grozman, A. Shapovalov, V. Prasolov, A. Fomenko
Edition: 10.05.1997 draft
Publisher: Web draft
Year: 1997

Language: English
Commentary: Draft of May 10th, 1997. Missing figures. Includes solutions. Bookmarked.
Pages: 514
City: Stockholm

60-odd YEARS of MOSCOW MATHEMATICAL OLYMPIADS......Page 1
Contents......Page 5
Preface......Page 7
Part 1: Problems......Page 15
Introduction......Page 17
Selected lectures of mathmathematics circles......Page 25
Olympiad 1 (1935)......Page 31
Olympiad 2 (1936)......Page 32
Olympiad 4 (1938)......Page 33
Olympiad 5 (1939)......Page 34
Olympiad 6 (1940)......Page 35
Olympiad 7 (1941)......Page 36
Olympiad 8 (1945)......Page 37
Olympiad 9 (1946)......Page 38
Olympiad 10 (1947)......Page 40
Olympiad 11 (1948)......Page 42
Olympiad 12 (1949)......Page 43
Olympiad 13 (1950)......Page 44
Olympiad 14 (1951)......Page 45
Olympiad 15 (1952)......Page 47
Olympiad 16 (1953)......Page 50
Olympiad 17 (1954)......Page 52
Olympiad 18 (1955)......Page 56
Olympiad 19 (1956)......Page 59
Olympiad 20 (1957)......Page 62
Olympiad 21 (1958)......Page 67
Olympiad 22 (1959)......Page 70
Olympiad 23 (1960)......Page 73
Olympiad 24 (1961)......Page 75
Olympiad 25 (1962)......Page 78
Olympiad 26 (1963)......Page 81
Olympiad 27 (1964)......Page 85
Olympiad 28 (1965)......Page 88
Olympiad 29 (1966)......Page 91
Olympiad 30 (1967)......Page 92
Olympiad 31 (1968)......Page 96
Olympiad 32 (1969)......Page 99
Olympiad 33 (1970)......Page 104
Olympiad 34 (1971)......Page 108
Olympiad 35 (1972)......Page 111
Olympiad 36 (1973)......Page 114
Olympiad 37 (1974)......Page 116
Olympiad 38 (1975)......Page 118
Olympiad 39 (1976)......Page 119
Olympiad 40 (1977)......Page 121
Olympiad 42 (1979)......Page 124
Olympiad 43 (1980)......Page 126
Olympiad 44 (1981)......Page 128
Olympiad 45 (1982)......Page 129
Olympiad 46 (1983)......Page 130
Olympiad 47 (1984)......Page 131
Olympiad 48 (1985)......Page 133
Olympiad 49 (1986)......Page 134
Olympiad 50 (1987)......Page 136
Olympiad 51 (1988)......Page 139
Olympiad 52 (1989)......Page 140
Olympiad 53 (1990)......Page 141
Olympiad 54 (1991)......Page 142
Olympiad 551 (1992)......Page 143
Olympiad 561 (1993)......Page 145
Olympiad 571 (1994)......Page 147
Olympiad 581 (1995)......Page 150
Olympiad 591 (1996)......Page 151
Olympiad 601 (1997)......Page 153
Historical remarks......Page 195
A little problem......Page 206
Bibliography......Page 210
Contents......Page 216
Part 2: Solutions......Page 218
HINTS......Page 220
ANSWERS......Page 248
SOLUTIONS......Page 276