The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary

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This third volume of problems from the William Lowell Putnam Competition is unlike the previous two 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 solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.
 

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Inhalt

Problems
1
Hints
35
Solutions
51
Results
295
Putnam Trivia for the Nineties
307
Bibliography
323
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Über den Autor (2002)

Kiran Kedlaya received his PhD from the Massachusetts Institute of Technology in 2000. After teaching at various other institutions, including the University of California, Berkeley, he returned to MIT as Associate Professor in 2003. He won the Presidential Early Career Award for Scientists and Engineers in 2006. He was a collaborating editor for American Mathematical Monthly and is currently a corresponding editor for International Mathematics Research Notices.

Bjorn Poonen received his PhD in Mathematics from the University of California, Berkeley, in 1994. He also taught there for over ten years, before moving to the Massachusetts Institute of Technology in 2008. He is an associate editor of the Journal of the American Mathematical Society and International Mathematics Research Notices.

Ravi Vakil is a Professor of Mathematics at Stanford University, the Robert K. Packard University Fellow in Undergraduate Education (2008-2013) and the David Huntington Faculty Scholar. He has received an American Mathematical Society Centennial Fellowship, a Frederick E. Terman fellowship and an Alfred P. Sloan Research Fellowship, amongst other honours and prizes. He is on the editorial boards of various journals, including the Canadian Journal of Mathematics and the Journal of Pure and Applied Algebra.

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