No amateur or math authority can be without this ultimate compendium from America's best-loved mathematical expert. Whether discussing hexaflexagons or number theory, Klein bottles or the essence of "nothing," Martin Gardner has single-handedly created the field of "recreational mathematics." The Colossal Book of Mathematics collects Gardner's most popular pieces from his legendary "Mathematical Games" column, which ran in Scientific American for twenty-five years. Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips, from an endless game of Bulgarian solitaire to the unreachable dream of time travel, this volume is a substantial and definitive monument to Gardner's influence on mathematics, science, and culture.

In its twelve sections, The Colossal Book of Mathematics explores a wide range of areas, each startlingly illuminated by Gardner's incisive expertise. Beginning with seemingly simple topics, Gardner expertly guides us through complicated and wondrous worlds: by way of basic algebra we contemplate the mesmerizing, often hilarious, linguistic and numerical possibilities of palindromes; using simple geometry, he dissects the principles of symmetry upon which the renowned mathematical artist M.C. Escher constructs his unique, dizzying universe. Gardner, like few other thinkers today, melds a rigorous scientific skepticism with a profound artistic and imaginative impulse. His stunning exploration of "The Church of the Fourth Dimension," for example, bridges the disparate worlds of religion and science by brilliantly imagining the spatial possibility of God's presence in the world as a fourth dimension, at once "everywhere and nowhere."

With boundless wisdom and his trademark wit, Gardner allows the reader to further engage challenging topics like probability and game theory, which have plagued clever gamblers, as well as famous mathematicians, for centuries. Whether debunking Pascal's wager with basic probability, making visual music with fractals, or uncoiling a "knotted doughnut" with introductory topology, Gardner continuously displays his fierce intelligence and gentle humor. His articles confront both the comfortingly mundane--"Generalized Ticktacktoe" and "Sprouts and Brussels Sprouts"--and the quakingly abstract: "Hexaflexagons," "Nothing," and "Everything." He navigates these staggeringly obscure topics with a deft intelligence and, with addendums and suggested reading lists, he informs these classic articles with new insight.

Admired by scientists and mathematicians, writers and readers alike, Gardner possesses vast knowledge and a burning curiosity that reveal themselves on every page. The culmination of a lifelong devotion to the wonders of mathematics, The Colossal Book of Mathematics is the largest and most comprehensive math book ever assembled by Gardner, and it remains an indispensable volume for the amateur and expert alike....

Martin Gardner continues to delight readers in Origami, Eleusis, and the Soma Cube, which is the second volume in the new Cambridge series, The New Martin Gardner Mathematical Library, based off his enormously popular Scientific American columns. He introduces young and old readers alike to the Generalized Ham Sandwich Theorem, origami, digital roots, magic squares, the mathematics of cooling coffee, the induction game of Eleusis, Dudeney puzzles, the maze at Hampton Court Palace, and many more mathematical puzzles and principles. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries, to challenge and fascinate a new generation of readers....

Martin Gardner is perhaps the wittiest, most devastating unmasker of scientific fraud and intellectual chicanery of our time. Here he muses on topics as diverse as numerology, New Age anthropology, and the late Senator Claiborne Pell's obsession with UFOs, as he mines Americans' seemingly inexhaustible appetite for bad science. Gardner's funny, brilliantly unsettling exposés of reflexology and urine therapy should be required reading for anyone interested in "alternative" medicine. In a world increasingly tilted toward superstition, Did Adam and Eve Have Navels? will give those of us who prize logic and common sense immense solace and inspiration....

Combines two previously published works, resulting in ninety-three brain-teasing puzzles, riddles, and questions with an emphasis on humor....

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For over fifty years Martin Gardner has been delighting readers with elegant, witty, and highly intelligent writing on an amazing array of topics. Best known for his works on popular science and mathematics, and as an incisive skeptical commentator on the paranormal, Gardner is also an accomplished writer of children's literature, a novelist, and a prolific essayist on religion, philosophy, and other issues. This new collection of Gardner gems takes its name from an essay on a mathematical theme, about a jinn (or genie) trapped in a "Klein Bottle"--an amusing tale that also teaches the math phobic something interesting about a theoretical one-sided object with no distinction between inside and outside. Other topics in math and physics include speculations about universes where time runs in reverse; the Banach-Tarski paradox (whereby a sphere, after being deconstructed, can be reassembled at twice its size); and a vigorous defense of the objective reality of mathematical theorems independent of human culture. On the literary side, Gardner discusses two neglected works by G.K. Chesterton, one of which concerns an imaginary but now very topical war between Islam and Christianity. He also considers the fantasies of L. Frank Baum that don't take place in Oz, Clement Moore's ever-popular The Night Before Christmas, and the many fascinating books by Lewis Carroll that are sometimes overshadowed by his famous Alice in Wonderland. A treat for longtime Gardner readers or the perfect introduction for newcomers, The Jinn from Hyperspace offers a rich selection of stimulating intellectual wonders....

Packing spheres, Reversi, braids, polyominoes, board games, and the puzzles of Lewis Carroll. These and other mathematical diversions return to readers with updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries. Read about Knuth's Word Ladders program and the latest developments in the digits of pi. Once again these timeless puzzles will charm readers while demonstrating principles of logic, probability, geometry, and other fields of mathematics....

Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi is the inaugural volume in The New Martin Gardner Mathematical Library series. Based off of Gardener's enormously popular Scientific American columns, his puzzles and challenges can now fascinate a whole new generation! Paradoxes and paper-folding, Moebius variations and mnemonics, fallacies, magic square, topological curiosities, parlor tricks, and games ancient and modern, from Polyminoes, Nim, Hex, and the Tower of Hanoi to four-dimensional ticktacktoe. These mathematical recreations, clearly and cleverly presented by Martin Gardner, delight and perplex while demonstrating principles of logic, probability, geometry, and other fields of mathematics. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries. It's the perfect stocking stuffer for the puzzle wizard on your list....

Packing spheres, Reversi, braids, polyominoes, board games, and the puzzles of Lewis Carroll. These and other mathematical diversions return to readers with updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries. Read about Knuth's Word Ladders program and the latest developments in the digits of pi. Once again these timeless puzzles will charm readers while demonstrating principles of logic, probability, geometry, and other fields of mathematics....