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THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION 1985-2000: PROBLEMS AND SOLUTIONS

THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION 1985-2000: PROBLEMS AND SOLUTIONS

THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION 1985-2000: PROBLEMS AND SOLUTIONS

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The William Lowell Putnam Mathematics Competition 1985-2000
Kiran S. Kedlaya, Bjorn Poonen, and Ravi Vakil, Editors

This volume, the third to cover the William Lowell Putnam Mathematical Competition, contains the 192 problems from the years 1985-2000, as they appeared in the competition, with solutions and extensive commentary. It is unlike the first two Putnam volumes and unlike virtually every other problem-based book, in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum, and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The heart of the book is in the solutions, which have been compiled through extensive research. The authors present the best solutions from the American Mathematical Monthly, Mathematics Magazine, past competitors, and from many problem enthusiasts. Often the authors have simplified these solutions, or have developed new solutions of their own. In editing the solutions, the authors have kept a student audience in mind, explaining techniques that have relevance to more than the problem at hand, suggesting references for further reading, and mentioning related problems, some of which are unsolved. In addition to problems and solutions, the book contains: a hint to each problem, separate from the full solution; background information about the competition; a list of winning individuals and teams, with current information about the career paths of winners; a topic index; Putnam Trivia for the Nineties, by Joseph A. Gallian; and Some Thoughts on Writing for the Putnam, by Problems Committee member Bruce Reznick.

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  • Brand name: MAA
  • Editors: Kiran S. Kedlaya
  • Bjorn Poonen
  • and Ravi Vakil
  • ISBN:9780883858073
  • 354 pp.
  • Paperback
  • 2002
  • Series: Problem Books
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