Cover image for Mathematical diamonds
Title:
Mathematical diamonds
Author:
Honsberger, Ross, 1929-2016.
Publication Information:
Washington, D.C. : Mathematical Association of America, 2003.
Physical Description:
x, 245 pages : illustrations ; 23 cm.
Language:
English
ISBN:
9780883853320
Format :
Book

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Summary

Summary

Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdos. This book is ideal for students, teachers and anyone interested in recreational mathematics.


Reviews 1

Choice Review

Honsberger offers a nice group of math problems intended for anyone entertained by solving challenging problems. The problems were collected from sources such as the Tournament of the Towns, the Putnam Mathematical Competition, the Canadian Open Mathematical Challenge, the American Invitational Mathematics Exam, and the 1990 Balkan Olympiad, along with many others. Two chapters are based on work by legendary mathematician Paul Erdos. Topics range from Euclidean geometry to number theory, and treat such problems as stacking wine bottles and the coin-matching game. Each section of the book is independent, and thus the book can be read in any order. Written in a relaxed fashion, it is truly a fun and fascinating book for any mathematical mind. ^BSumming Up: Recommended. Lower-division undergraduates through professionals. M. D. Sanford St. Francis University


Table of Contents

1 The remarkable wine-rack property
2 The Restless Lion
3 Apples and sticks
4 A surprising result of Paul Erd÷s
5 Miscellaneous gleanings
6 An application of Tur an's theorem
7 Four problems from Putnam papers
8 Topics based on problems from Quantum
9 Two distinguished integers
10 A property of the binomial coefficients
11 Nine miscellaneous problems
12 A problem in coin-tossing
13 Semi-regular lattice polygons
14 Six problems from the Canadian Open Mathematics Challenge
15 Three pretty theorems in geometry
16 Two gems from Euclidean geometry
17 The Thue-Morse-Hedlund sequence
18 Two miscellaneous problems
19 A surprising property of regular polygons
20 Three short stories in number theory
21 Three geometry problems
22 Three problems from the 1990 Balkan Olympiad
23 A Japanese 'fan' problem
24 Slicing a doughnut
25 A problem from the 1980 Tournament of the Towns