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Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries (Dolciani Mathematical Expositions)

5.0 5.0 out of 5 stars 4 ratings

This book contains the best problems selected from over 25 years of the Problem of the Week at Macalester College. This collection will give students, teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. The collection contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternating wedges, will they get equal amounts of pizza? Or: Is an advertiser's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included with problem variations and topics for investigation.

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Editorial Reviews

Review

The problems are not brain-teaser types that have a "trick" to their solution: They all involve insightful mathematics. This text devotes 60 pages to the problems and 160 pages to their annotated solutions. The solutions are well written, make historical references, and contain extensions to the original problems...The problems are suitable for college-level and might be within reach of superior high school students....a nice addition to the library of any problem solver since it contains a collection of thought-provoking , demanding problems that are unlikely to be duplicated in any other single book. The Mathematics Teacher -- The Mathematics Teacher

This stimulating little book is a collection of the 191 of the best "Problem of the Week" mathematical problems and puzzles that appeared over the last 25 y ears at Macalester College. This tradition was started by Joe Konhauser, a "great believer in the value of problem solving activity," and later continued by Stan Wagon., The problems appear to follow Joe's dictum that "they had to involve almost no prerequisites and be succinctly stated and inherently attractive."...there is sufficient variety included to appeal to most mathematically oriented people. --
AAAS Science Books and Films

This work...is exceptionally well written and well prepared technically...The carefully stated problems are grouped into categories...Following the problem statements are well-written solutions to each problem. Besides being appropriate for teachers, the book might also interest advanced high school and college mathematics students who would independently engage in the challenge of mathematical puzzles and be entertained by the surprising twists required to solve them. --
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Book Description

The best problems selected from over 25 years of the Problem of the Week at Macalester College.

Product details

  • Publisher ‏ : ‎ The Mathematical Association of America (February 27, 1997)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 253 pages
  • ISBN-10 ‏ : ‎ 0883853256
  • ISBN-13 ‏ : ‎ 978-0883853252
  • Item Weight ‏ : ‎ 13.4 ounces
  • Dimensions ‏ : ‎ 6.25 x 0.5 x 9.5 inches
  • Customer Reviews:
    5.0 5.0 out of 5 stars 4 ratings

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Joseph D. E. Konhauser
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Customer reviews

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4 global ratings

Top reviews from the United States

Reviewed in the United States on June 11, 2016
The best mathematics problem book I've ever seen. Love it.
Reviewed in the United States on December 11, 2014
A lovely collection of neat problems.
Reviewed in the United States on August 25, 2001
The book has many intriguing problems that are sure to capture the minds of any mathematician. It also contains a very nice answer section. The only throwback is that most of the problems take significant thought and require some time to solve completely. However, the nice answer section takes care of the problem should you become obsessed with a problem you can't quickly solve, and the overall quality of the problems warrant a 5-star rating.
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