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Mathematical Puzzles: A Connoisseur's Collection
 
 

Mathematical Puzzles: A Connoisseur's Collection [Paperback]

Peter Winkler
5.0 out of 5 stars  See all reviews (2 customer reviews)
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Product Description

Review

" Winkler's book will certainly appeal to the mathematician, as well as to students of all ages—high-school, college, and graduate. His philosophy of what constitutes a good puzzle is right on the mark, showing that this Connoisseur's Collection really is of quality and depth. -James Tanton, MAA Online, September 2004
""I have gained great satisfaction from those [puzzles] I've managed to solve . . . This is a great collection of seriously hard questions."" -The Mathematical Gazette, March 2006
""As an enthusiastic solver and collector of mathematical puzzles myself, I was absolutely delighted with this book. The sheer density of mathematical ideas and challenges sets it apart from other books of a similar nature while the lucid yet informal style of exposition makes the journey from ignorance to enlightenment enjoyable."" -Norman Do, The Australian Mathematical Society Gazette, July 2004"

Book Description

Collected over several years by Peter Winkler, of Bell Labs, dozens of elegant, intriguing challenges are presented in Mathematical Puzzles. The answers are easy to explain, but without this book, devilishly hard to find. Creative reasoning is the key to these puzzles. No involved computation or higher mathematics is necessary, but your ability to construct a mathematical proof will be severly tested--even if you are a professional mathematician. For the truly adventurous, there is even a chapter on unsolved puzzles.

Inside This Book (Learn More)
First Sentence
This warm-up chapter contains a variety of puzzles not associated with a particular topic or technique. Read the first page
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Concordance
Browse Sample Pages
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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5.0 out of 5 stars (2 customer reviews)
 
 
 
 
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5.0 out of 5 stars excellent choice, July 9 2004
By A Customer
This review is from: Mathematical Puzzles: A Connoisseur's Collection (Paperback)
this book is interesting and challenging, even to people who have studied math at the college level. the problems are short, and take about an hour to solve, at least they did for me. it was a great read and i highly recommend this as a gift for the math lover in your life.
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5.0 out of 5 stars A puzzler's delight!, April 25 2004
This review is from: Mathematical Puzzles: A Connoisseur's Collection (Paperback)
Wow, what a splendid collection of varied and challenging puzzles - a puzzler's delight!

I especially liked the "handicap" puzzles - these are new to me, and involve algorithmic puzzles with bizarre handicaps having to do with memory.

The book also has extensive refrences so you can further your interests for a particular type of puzzle. There's even an unsolved puzzles section to challenge even the professional mathematician.

In terms of difficulty level, I would say that 2/3rds of the puzzles are meant for the seasoned puzzler and do require some "mathematical maturity" . But there are quite a few "insight" puzzles that required almost no math.

There's even geography puzzles of all things - that's quite refreshing and original for a math puzzle book.

congrats Dr. Winkler on a splendid collection!

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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com: 4.9 out of 5 stars (8 customer reviews)

15 of 15 people found the following review helpful
5.0 out of 5 stars Some of the best puzzles ever published., Mar 13 2005
By Charles Ashbacher - Published on Amazon.com
This review is from: Mathematical Puzzles: A Connoisseur's Collection (Paperback)
I have seen the word connoisseur used to describe collections before, but when I sat down to write this review I realized that I did not know the precise usage of the term. Therefore, I pulled out my Webster's dictionary and looked it up. It was "a person who has expert knowledge and keen discrimination in some field, esp. the fine arts or in matters of taste." In terms of keen discrimination, the term applies to the puzzles in this book. They are some of the best puzzles ever published, although those who follow the field will have seen many before, although perhaps in an altered form.

However, expert knowledge is not required to understand and solve the puzzles. The level of mathematical knowledge is that of detailed knowledge of basic algebraic and reasoning techniques. Like the very best puzzles, solving them requires a bit of "sideways" thinking. In other words, the most obvious approach to a puzzle will most likely lead to bafflement, but if you look at it just the right way, the solution is obvious. Furthermore, once the inspiration arrives, you know that you indeed have the solution.

In all honesty, I struggled with many of these puzzles. Sometimes, I was just being stupid, and other times I doubt if the solution would have ever managed to form in my thoughts. Fortunately, solutions to nearly all of the problems are included. The final chapter contains unsolved puzzles, which seems like a bit of a misnomer, and in a real sense it is. These are really unsolved problems, their topic is just one that fits inside what is generally considered the puzzle genre.

I loved this book, even when I was so frustrated I wanted to chop it with my very sharp axe. These puzzles will stretch you to the breaking point, which is of course a prerequisite for being among the best ever created.

Published in Journal of Recreational Mathematics, reprinted with permission.

14 of 14 people found the following review helpful
5.0 out of 5 stars A puzzler's delight!, April 25 2004
By pete "pete" - Published on Amazon.com
Amazon Verified Purchase(What's this?)
This review is from: Mathematical Puzzles: A Connoisseur's Collection (Paperback)
Wow, what a splendid collection of varied and challenging puzzles - a puzzler's delight!

I especially liked the "handicap" puzzles - these are new to me, and involve algorithmic puzzles with bizarre handicaps having to do with memory.

The book also has extensive refrences so you can further your interests for a particular type of puzzle. There's even an unsolved puzzles section to challenge even the professional mathematician.

In terms of difficulty level, I would say that 2/3rds of the puzzles are meant for the seasoned puzzler and do require some "mathematical maturity" . But there are quite a few "insight" puzzles that required almost no math.

There's even geography puzzles of all things - that's quite refreshing and original for a math puzzle book.

congrats Dr. Winkler on a splendid collection!


4 of 4 people found the following review helpful
5.0 out of 5 stars A real exercise in logical and creative thought, Sep 19 2007
By calvinnme - Published on Amazon.com
This review is from: Mathematical Puzzles: A Connoisseur's Collection (Paperback)
This book mainly requires that you be at ease with mathematics and mathematical terms on the level of a high school student. The solutions don't involve long calculations and calculus books. They are brain teasers that often require out-of-the-box thought and creativity. They are excellent for computer science students studying the theory of algorithms, because often the same thought process that goes into solving the more difficult problems in that field are applicable to the puzzles in this book. The puzzles can be very difficult, and several were without solution for a very long time. There is also a group of Unsolved Puzzles at the end of the book.
 Go to Amazon.com to see all 8 reviews  4.9 out of 5 stars 
 
 
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