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 Erdös. This book is ideal for students, teachers and anyone interested in recreational mathematics.
Author(s): Ross Honsberger
Series: Dolciani Mathematical Expositions
Publisher: The Mathematical Association of America
Year: 2003
Language: English
Pages: 255
Preface
......Page 7
Table of Contents
......Page 9
Section 1: The Remarkable Wine-Rack Property......Page 11
Section 2: The Restless Lion......Page 15
Section 3: Apples and Sticks*
......Page 19
Section 4:
A Surpising Result of Paul Erdos*......Page 23
Section 5:
Miscellaneous Gleanings......Page 29
Section 6: An Application of Thran's Theorem*
......Page 45
Section 7:
Four Problems from Putnam Papers......Page 53
Section 8:
Topics Based on Problems from Quantum......Page 59
Section 9:
Two Distinguished Integers*......Page 89
Section 10:
A Property of the Binomial Coefficients*......Page 93
Section 11:
Nine Miscellaneous Problems......Page 97
Section 12:
A Problem in Coin-Tossing*......Page 113
Section 13:
Semi-regular Lattice Polygons*......Page 119
Section 14:
Six Problems from the Canadian OpenMathematics Challenge......Page 127
Section 15:
Three Pretty Theorems in Geometry......Page 135
Section 16:
Two Gems from Euclidean Geometry*......Page 145
Section 17:
The rhue-Morse-Hedlund Sequence......Page 153
Section 18:
Two Miscellaneous Problems......Page 161
Section 19:
A Surprising Property of Regular Polygons......Page 167
Section 20:
Three Short Stories in Number Theory*......Page 173
Section 21:
Three Geometry Problems......Page 179
Section 22:
Three Problems From The 1990Balkan Olympiad......Page 185
Section 23:
A Japanese "Fan" Problem......Page 191
Section 24:
Slicing a Doughnut......Page 197
Section 25:
A Problem from the 1980 Tournamentof the Towns......Page 205
More Challenges......Page 213
Solutions To The Challenges1.......Page 219
Index of Publications......Page 247
Subject Index......Page 249
Geometry and Combinatorial Geometry......Page 250
Algebra, Number Theory, and Probability......Page 251
General Index......Page 253
