Cambridge, UK ; New York : Cambridge University Press, 2012.
Format:
Book
x, 246 p. : ill. ; 24 cm.
Bibliography:
Includes bibliographical references (p. 234-242) and index.
Contents:
I. Mathematical recreations and abstract games
Recreations from Euler to Lucas --Four abstract games --Mathematics and games: mysterious connections
Why chess is not mathematics
Proving versus checking
II. Mathematics: game-like, scientific and perceptual
Game-like mathematics
Euclid and the rules of his geometrical game
New concepts and new objects
Convergent and divergent series
Mathematics becomes game-like
Mathematics as science
Numbers and sequences
Computers and mathematics
Mathematics and the sciences
Minimum paths: elegant simplicity
The foundations: perception, imagination and insight
Structure
Hidden structure, common structure
Mathematics and beauty
0. Origins: formality in the everyday world.
Summary:
"The appeal of games and puzzles is timeless and universal. In this unique book, David Wells explores the fascinating connections between games and mathematics, proving that mathematics is not just about tedious calculation but imagination, insight and intuition. The first part of the book introduces games, puzzles and mathematical recreations, including the Tower of Hanoi, knight tours on a chessboard, Nine Men's Morris and more. The second part explains how thinking about playing games can mirror the thinking of a mathematician, using scientific investigation, tactics and strategy, and sharp observation. Finally the author considers game-like features found in a wide range of human behaviours, illuminating the role of mathematics and helping to explain why it exists at all. This thought-provoking book is perfect for anyone with a thirst for mathematics and its hidden beauty; a good high school grounding in mathematics is all the background that's required, and the puzzles and games will suit pupils from 14 years"-- Provided by publisher.