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

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*Kiran S. Kedlaya; Bjorn Poonen; Ravi Vakil*

MAA Press: An Imprint of the American Mathematical Society

Reprinted edition available: PRB/33

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.

#### Reviews & Endorsements

Each chapter solves several realistic problems while introducing the modelling optimization techniques and simulation as required. This allows readers to see how the methods are used, making it easier to grasp the basics.

-- CERN Courier

The book will be invaluable for anybody with an interest in mathematical competitions or just trying his or her hand at challenging Mathematics at university level. All theories begin with simple, easy to state and beautiful problems and this book has an abundant supply of those.

-- The London Mathematical Society