Bøker i Dover Recreational Math-serien

A celebrated mathematician presents more than 200 increasingly complex problems that delve into Godel's undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Solutions.

Why do card tricks work? How can magicians do astonishing feats of mathematics mentally? Why do stage "mind-reading" tricks work? As a rule, we simply accept these tricks and "magic" without recognizing that they are really demonstrations of strict laws based on probability, sets, number theory, topology, and other branches of mathematics.This is the first book-length study of this fascinating branch of recreational mathematics. Written by one of the foremost experts on mathematical magic, it employs considerable historical data to summarize all previous work in this field. It is also a creative examination of laws and their exemplification, with scores of new tricks, insights, and demonstrations. Dozens of topological tricks are explained, and dozens of manipulation tricks are aligned with mathematical law.Nontechnical, detailed, and clear, this volume contains 115 sections discussing tricks with cards, dice, coins, etc.; topological tricks with handkerchiefs, cards, etc.; geometrical vanishing effects; demonstrations with pure numbers; and dozens of other topics. You will learn how a Moebius strip works and how a Curry square can "prove" that the whole is not equal to the sum of its parts.No skill at sleight of hand is needed to perform the more than 500 tricks described because mathematics guarantees their success. Detailed examination of laws and their application permits you to create your own problems and effects.

The noted expert selects 70 of his favorite "short" puzzles. Includes The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more. Complete solutions included.

Gambling led Cardano to the study of probability, and he formulated some basic ideas more than a century before the better-known correspondence of Pascal and Fermat. This volume was published posthumously in 1663.

Math enthusiasts of all ages will delight in these 200 riddles, based on concepts from geometry, trigonometry, algebra, infinity, probability, and logic. Includes complete solutions and 113 illustrations.

This book contains 50 elegant, witty chess problems concerned with deducing events in a game's past. Holmes instructs Watson in the intricacies of retrograde analysis, leading to increasingly difficult self-contained mysteries.

Eighty mind-bending problems feature eccentric characters, delightfully surrealistic illustrations, and humorous situations. The author offers hints as well as solutions in a splendid tangle of storytelling that provides both chuckles and challenges.

Characters from "Wonderland" and "Through the Looking-Glass" populate these 88 puzzles involving word play, logic and metalogic, and philosophical paradoxes. The charmingly illustrated challenges range from easy to difficult and include solutions.

Welcome to kakuro, sudoku's bigger (and tougher) brother. The rules are easy, but the game isn't. These 101 puzzles are designed for novices. Solutions included.

This classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more. Includes 150 black-and-white line illustrations.