Mathematical Byways in Ayling, Beeling and Ceiling (Recreations in Mathematics, 1)

Unique and highly original, Mathematical Byways is a work of recreational mathematics, a collection of ingenious problems, their even more ingenious solutions, and extensions of the problems—left unsolved here—to further stretch the mind of the reader. The problems are set within the framework of three villages—Ayling, Beeling, and Ceiling—their inhabitants, and the relationships (spacial and social) between them. The problems can be solved with little formal mathematical knowledge, although most require considerable thought and mental dexterity, and solutions are all clearly expounded in non-technical language. Stimulating and unusual, this book proves what Hugh ApSimon has known all along: mathematics can be fun! PREFACE......Page 6 CONTENTS......Page 10 INTRODUCTION......Page 14 1 LADDER-BOX......Page 16 2 META-LADDER-BOX......Page 20 3 COMPLETE QUADRILATERAL ......Page 26 4 BOWLING AVERAGES......Page 32 5 CENTRE-POINT......Page 40 6 COUNTING SHEEP......Page 51 7 TRANSPORT......Page 56 8 ALLEY LADDER......Page 70 9 COUNTERFEIT COINS ......Page 78 10 WRAPPING A PARCEL ......Page 90 11 SHEEP-DOG TRIALS......Page 99 ANSWERS......Page 110 This paperback presents a series of mathematical problems set in and around three unusual English villages - Ayling, Beeling, and Ceiling. Suitable for a wide readership, the problems can be solved without high-powered mathematics.