The William Lowell Putnam Mathematical Competition 19852000: Problems Solutions and Commentary (MAA Problem Book Series)

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.