The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions and Commentary (MAA Problem Book Series) by Kiran S. Kedlaya (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review ‘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’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 Book Description A collection of problems from the William Lowell Putnam Competition which places them in the context of important mathematical themes. Book Description This collection of problems from the William Lowell Putnam Competition is unlike the two previous volumes: it places the problems in the context of important mathematical themes. The authors highlight connections to other problems and to more advanced topics. It will appeal to students, teachers and anyone interested in problem solving. About the Author 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The book provides multiple alternate solutions, remarks, generalizations and even references to other similar problems in Putnam Exams and other competitive exams.I loved the book. The only turn off was that the solutions are not helpful for a person not acquainted with the basic theorems and mathematical jargon. I, being a physics major did not know what Euler’s Totient function is for instance.The solutions are not robust (step by step) but rather terse.

⭐a good book

⭐I did Putnam in 2002 and solved 6 full problems. The future Putnam competitor should make it a point to consult past Putnam problems to successfully make the switch from olympiad problems to the Putnam. Not that it is a big change, but to do well in Putnam you have to know at least some basic trick in calculus, analysis and such. This is a good starting point in making that transition.On a whole another level, even research mathematicians (problem solver type) can benefit from the ‘tricks’ and nuances of the ‘toy’ problems (e.g Putnam problems) in honing their problem solving instinct.

⭐Not much can be said about this book: you get exactly what you have in mind. First part of the book lists every problem from 1985-2000 Putnam exams, the second part provides hints to each of the problems in case you are stuck. The last part contains detailed solution(s) to every problem. It is an excellent book… Good luck on the test if you will be taking it.

⭐problems and answers are clearly explicated. great for studying or just satisfying your curiosity

⭐電子書籍で購入しないほうが、よかった。紙の本のほうが、いいかもしれない。でも、これは、少し暗号に使えるかもしれない。そして、ネット上で、ＰＤＦとしてほとんど載っているみたいです。毎年１２月に行われるパトナム競争（アメリカの大学生の数学コンテスト）の最新版。昔、駿台で秋山仁が特設単科講座「数学発想法」等でパクっていました。

⭐

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