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by Ross Honsberger (Author) "No matter which 55 positive integers may be selected from (1, 2,..., 100), prove that you must choose some two that differ by 9, some..." (more)
Key Phrases: persistent numbers, pigeonhole principle, equal tangents, Murray Klamkin, Olympiad Corner, International Olympiad (more...)
  5.0 out of 5 stars 1 customer review (1 customer review)  

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Editorial Reviews
Review
'Ross Honsberger shows how powerful problem-solving is using elementary level mathematical techniques. His book contains a potpourri of intriguing and atypical problems and their solutions for the highly motivated student of mathematics ... A wonderful source of interesting problems for highly gifted high school students, undergraduate mathematics students, and their instructors.' Choice

'As his six previous kaleidoscopes published by MAA, this book is written with a top elegance, lightness and taste.' Zentralblatt für Mathematik

'This book can be used by mathematically gifted students to advance their mathematical level by solving suitable problems, and also by their teachers for their schoolwork. It can give pleasure to everybody who is interested in mathematics, but it can also bring enjoyment to more advanced mathematicians because the collection contains many problems which have unexpected results, in which different parts of mathematics are connected and which solutions are rather surprising. Reading this book your mind will really be at its best.' European Mathematical Society Newsletter

Product Description
Another collection of problems from best-selling author Ross Honsberger. He presents a selection drawn from probability, number theory, combinatorics, and geometry, and provides ingenious solutions and/or intriguing results. All of the problems presented in the volume are accessible to anyone with an interest in mathematics.

Product Details
  • Paperback: 344 pages
  • Publisher: The Mathematical Association of America (September 5, 1996)
  • Language: English
  • ISBN-10: 0883853140
  • ISBN-13: 978-0883853146
  • Product Dimensions: 9.2 x 6.1 x 0.7 inches
  • Shipping Weight: 12 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars 1 customer review (1 customer review)
  • Amazon.com Sales Rank: #318,731 in Books (See Bestsellers in Books)
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  • Also Available in: Paperback  |  All Editions

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Inside This Book (learn more)
First Sentence:
No matter which 55 positive integers may be selected from (1, 2,..., 100), prove that you must choose some two that differ by 9, some two that differ by 10, some two that differ by 12, and some two that differ by 13, but that you need not have any two that differ by 11. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
persistent numbers, pigeonhole principle, equal tangents, different integers
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Murray Klamkin, Olympiad Corner, International Olympiad, Practice Set, The Mathematical Gazette, Moscow Olympiad, Third Round, Canadian Olympiad, Crux Mathematicorum, First Round
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