Dewdney (A Mathematical Mystery Tour
), best known for the Scientific American
column "Computer Recreations," which he wrote for eight years, sets an impressive goal for himself: "to discover how physical reality depends on mathematical reality, and to examine how mathematical reality manifests itself." He attempts to do this by outlining four problems in the physical realm and four in the mathematical realm that he believes can never be solved. The topics he discusses are largely of great interest to science and math buffs: perpetual motion, the speed of light, Heisenberg's uncertainty principle, chaos theory, squaring the circle, unprovable but true mathematical theorems, "simple" problems that no computer program can solve, and the fact that some mathematical problems would require an infinite amount of computer time to solve. In his chapter on chaos theory, for example, Dewdney does a very nice job of explaining why we will never be able to predict the weather accurately more than four days in advance. The problem throughout the book, however, is that he alternates between colorful prose or explanations of basic terms (such as "primary number") and relatively dense mathematics (transcendental and transfinite numbers), never settling on who the appropriate audience for this study might be. B&w illus. Agent, Linda McKnight.
(May)
