USA mathematical olympiads, 1972-1986 pdf

默里·西摩·克拉姆金 (Murray Seymour Klamkin) 是一位美国数学家，以多产的主持人和编辑专业难度数学问题而闻名。 克拉姆金于 1921 年 3 月 5 日出生于纽约布鲁克林。 他于 1942 年从库珀联盟获得学士学位，在美国陆军服役四年后，他于 1947 年在布鲁克林理工学院获得硕士学位，并于 1948 年至 1957 年任教。 随后，克拉姆金在 AVCO 工作，在纽约州立大学布法罗分校任教（1962-1964），并在福特汽车公司担任首席研究科学家（1965-1976）。 在此期间，他还是明尼苏达大学的客座教授。 离开福特后，他成为滑铁卢大学的教授。 从 1976 年到 1981 年，Klamkin 担任阿尔伯塔大学数学系系主任。 1981 年后，他成为艾伯塔省的名誉教授。 克拉姆金于 2004 年 8 月 6 日去世

USA mathematical olympiads, 1972-1986 pdf 默里·克拉姆金

People delight in working on problems ""because they are there,"" for the sheer pleasure of meeting a challenge. This is a book full of such delights. In it, Murray S. Klamkin brings together 75 original USA Mathematical Olympiad (USAMO) problems for yearss 1972-1986, with many improvements, extensions, related exercises, open problems, references and solutions, often showing alternative approaches. The problems are coded by subject, and solutions are arranged by subject, e.g., algebra, number theory, solid geometry, etc., as an aid to those interested in a particular field. Included is a Glossary of frequently used terms and theorems and a comprehensive bibliography with items numbered and referred to in brackets in the text. This a collection of problems and solutions of arresting ingenuity, all accessible to secondary school students. The USAMO has been taken annually by about 150 of the nation's best high school mathematics students. This exam helps to find and encourage high school students with superior mathematical talent and creativity and is the culmination of a three-tiered competition that begins with the American High School Mathematics Examination (AHSME) taken by over 400,000 students. The eight winners of the USAMO are candidates for the US team in the International Mathematical Olympiad. Schools are encouraged to join this large and important enterprise. See page x of the preface for further information. This book includes a list of all of the top contestants in the USAMO and their schools. The problems are intriguing and the solutions elegant and informative. Students and teachers will enjoy working these challenging problems. Indeed, all those who are mathematically inclined will find many delights and pleasant challenges in this book.