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Ingenuity in Mathematics (Anneli Lax New Mathematical Library) Paperback – June 1, 1975

ISBN-13: 978-0883856239 ISBN-10: 0883856239

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Product Details

  • Series: Anneli Lax New Mathematical Library (Book 23)
  • Paperback: 216 pages
  • Publisher: The Mathematical Association of America (June 1975)
  • Language: English
  • ISBN-10: 0883856239
  • ISBN-13: 978-0883856239
  • Product Dimensions: 8.8 x 6 x 0.5 inches
  • Shipping Weight: 9.6 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #229,150 in Books (See Top 100 in Books)

Editorial Reviews

Book Description

The nineteen essays here illustrate many different aspects of mathematical thinking. The author is very well-known for his best-selling books of problems; in this volume he seeks to share his appreciation of the elegant and ingenious approaches used in thinking about even elementary mathematics.

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Most Helpful Customer Reviews

18 of 19 people found the following review helpful By MS on December 15, 2001
Format: Paperback
This is a marvellous volume for math enthusiasts of all ages and levels. It's accessible to an inquisitive high school student with little background in the subject; and it doesn't duplicate the sort of material found in high school and university courses, so it's still got plenty to offer the graduate student or math teacher. The author's enthusiasm for the subject leaps out from every paragraph, and it's contagious. Honsberger carefully and thoroughly explains the proofs he presents; very little of import is left to the reader. Among the results:
- If x and y are positive numbers less than 1, chosen at random, the probability that x, y, and 1 form the sides of an obtuse triangle is (pi-2)/4
- For any string of digits S=a_1a_2...a_m, and integer n not a power of 10, there is a power of n that begins with the string S
- On average, the probability that two randomly chosen integers are coprime is 6/pi^2.
At the end of each section are practice problems that make use of the material just presented, and these offer additional insight into the scope of the proofs.
In short, it's a great book, and it's particularly helpful for high school students looking for practice on contest-type problems, and for teachers looking for material for gifted students.
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