Many of the topics that are commonly placed in the area of recreational mathematics have occupied their niches for many years. Therefore, although the bulk of the material in this book was written almost four decades ago, it is largely still topical. The primary areas that are not are where the computer has increased our capability. At the time it was written, the four-color theorem was not yet proven and the largest known prime was but a shadow of what it is now.
Challenging story teasers for the jaded. More difficult algebraically than typical puzzles, and ideal for confirmed puzzle fanatic, but appendices help less experienced. Step-by-step solutions to all 100 puzzles. Also 40 new alphametics—solvable by simple arithmetic and logical reasoning—with answers, and two sample solutions.
This volume presents mathematical formulas and theorems commonly used in economics. It includes both formulas like Roy's identity that are peculiar to economics and formulas like Leibniz's rule that are common to many areas of applied mathematics. The volume is meant to be a reference work, to be used by students in conjunction with a textbook and by researchers in need of exact statements of mathematical results. The volume is the first grouping of this material for a specifically economist audience.
This is a brilliant book that conveys a beautiful, unified picture of mathematics. It is not an encyclopedic history, it is history for the sake of understanding mathematics. There is an idea behind every topic, every section makes a mathematical point, showing how the mathematical theories of today has grown inevitably from the natural problems studied by the masters of the past.
Everyday questions such as "Should I take my umbrella?" involve probability — a topic important in daily life and in science. This witty, nontechnical introduction to the subject elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.
