Dmitri V Fomin - Böcker

This book covers thirty years of the Leningrad Mathematical Olympiad, which was, ostensibly, the very first formally organized, open, official city-level mathematical contest in the world. Founded in 1934 by a group of dedicated Soviet mathematicians, it played an outstanding (and often underappreciated) role in creating the Leningrad (St. Petersburg) school of mathematics of the 20th century.The book begins with the extensive introduction containing two prefaces (one of them written specifically for this edition), a large historical survey of the Leningrad Mathematical Olympiad, a section describing the logistical side of the contest, and a small chapter dedicated to the very first Mathematical Olympiad held in 1934, whose problems were recently found in the Soviet-era library archives.The main text contains approximately 1,100 highly original questions for students of grades 5 through 10 (ages 11-12 through 17-18) offered at the two concluding rounds of the Leningrad City Mathematics Olympiads in the years of 1961-1991. Full solutions, hints and answers are provided for all questions with very rare exceptions.It also includes 120 additional questions, offered at the various mathematical contests held in Leningrad over the same thirty-year period — on average, their difficulty is somewhat higher than that of the regular Mathematical Olympiad problems.

This book covers thirty years of the Leningrad Mathematical Olympiad, which was, ostensibly, the very first formally organized, open, official city-level mathematical contest in the world. Founded in 1934 by a group of dedicated Soviet mathematicians, it played an outstanding (and often underappreciated) role in creating the Leningrad (St. Petersburg) school of mathematics of the 20th century.The book begins with the extensive introduction containing two prefaces (one of them written specifically for this edition), a large historical survey of the Leningrad Mathematical Olympiad, a section describing the logistical side of the contest, and a small chapter dedicated to the very first Mathematical Olympiad held in 1934, whose problems were recently found in the Soviet-era library archives.The main text contains approximately 1,100 highly original questions for students of grades 5 through 10 (ages 11-12 through 17-18) offered at the two concluding rounds of the Leningrad City Mathematics Olympiads in the years of 1961-1991. Full solutions, hints and answers are provided for all questions with very rare exceptions.It also includes 120 additional questions, offered at the various mathematical contests held in Leningrad over the same thirty-year period — on average, their difficulty is somewhat higher than that of the regular Mathematical Olympiad problems.

Experience the legacy of one of the world's oldest and most distinctive math competitions. This comprehensive volume presents the problems and solutions from the St. Petersburg Mathematical Olympiad (SPbMO) between 1992 and 2008 — a competition renowned for its originality, oral examination format, and its roots in the celebrated Leningrad school of mathematics.Founded in 1934, the SPbMO is recognized as the first formally organized city-level mathematics contest in the world. Set in a city with deep scientific and educational traditions, the Olympiad attracts over 12,000 participants annually, from grades 6 through 11 (ages 11-18).What makes the SPbMO truly exceptional is its oral examination format, where every solution is presented verbally to a jury member — mirroring the rigors of mathematical dialogue and reasoning in professional settings. Every problem is originally designed by local mathematicians and educators, reflecting the intellectual richness of the Leningrad mathematical culture.Perfect for students aged 11-18, math competition coaches, and educators looking for challenging and original extracurricular math content, this book is both a problem-solving resource and a cultural archive of mathematical excellence.