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内容推荐 本书是威廉·洛厄尔·普特南数学竞赛的重要参考资料,其特色是将问题置于重要数学主题的背景下。作者强调了与其他问题、课程和更高级主题的联系。最好的题目包含了与当前重要研究相关的复杂思想的核心,但仍可以被本科生理解。解答则来自《美国数学月刊》、《数学杂志》和往届参赛者。多种解法有助于加深读者的理解,阐释不仅仅和当前题目相关的技巧。此外,本书还提供了延伸阅读的建议、每个题目的提示(独立于完整解答)和有关竞赛的背景信息。作为深入了解数学的途径,本书适合学生、教师、教授以及任何对解题感兴趣的读者阅读。 目录 Introduction 1 Structure of this book 2 The Putnam Competition over the years 3 Advice to the student reader 4 Scoring 5 Some basic notation 6 Acknowledgements Problems Hints Solutions The Forty-Sixth Competition (1985) The Forty-Seventh Competition (1986) The Forty-Eighth Competition (1987) The Forty-Ninth Competition (1988) The Fiftieth Competition (1989) The Fifty-First Competition (1990) The Fifty-Second Competition (1991) The Fifty-Third Competition (1992) The Fifty-Fourth Competition (1993) The Fifty-Fifth Competition (1994) The Fifty-Sixth Competition (1995) The Fifty-Seventh Competition (1996) The Fifty-Eighth Competition (1997) The Fifty-Ninth Competition (1998) The Sixtieth Competition (1999) The Sixty-First Competition (2000) Results Individual Results Team Results Putnam Trivia for the Nineties by Joseph A. Gallian Answers Some Thoughts on Writing for the Putnam by Bruce Reznick Bibliography Index About the Authors |