how to cut a cake and other mathematical conundrums

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Cows In The Maze

Author : Ian Stewart
ISBN : 9780199562077
Genre : Games
File Size : 30. 66 MB
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Following on the success of his books Math Hysteria and How to Cut a Cake, Ian Stewart is back with more stories and puzzles that are as quirky as they are fascinating, and each from the cutting edge of the world of mathematics. From the math of mazes, to cones with a twist, and the amazing sphericon--and how to make one--Cows in the Maze takes readers on an exhilarating tour of the world of mathematics. We find out about the mathematics of time travel, explore the shape of teardrops (which are not tear-drop shaped, but something much, much more strange), dance with dodecahedra, and play the game of Hex, among many more strange and delightful mathematical diversions. In the title essay, Stewart introduces readers to Robert Abbott's mind-bending "Where Are the Cows?" maze, which changes every time you pass through it, and is said to be the most difficult maze ever invented. In addition, he shows how a 90-year old woman and a computer scientist cracked a long-standing question about counting magic squares, describes the mathematical patterns in animal movement (walk, trot, gallop), looks at a fusion of art, mathematics, and the physics of sand piles, and reveals how mathematicians can--and do--prove a negative. Populated by amazing creatures, strange characters, and astonishing mathematics explained in an accessible and fun way, and illustrated with quirky cartoons by artist Spike Gerrell, Cows in the Maze will delight everyone who loves mathematics, puzzles and mathematical conundrums.

Math Hysteria Fun And Games With Mathematics

Author : Ian Stewart
ISBN : 9780191547393
Genre : Games
File Size : 22. 87 MB
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Welcome to Ian Stewart's strange and magical world of mathematics! In Math Hysteria, Professor Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale: Counting the Cattle of the Sun; The Great Drain Robbery; and Preposterous Piratical Predicaments; to name but a few. Along the way, we also meet many curious characters: in short, these stories are engaging, challenging, and lots of fun!

The Math Behind The Music

Author : Leon Harkleroad
ISBN : 9780521810951
Genre : Mathematics
File Size : 36. 9 MB
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Looks at the mathematical aspects of music, covering such topics as compositional techniques, scales, tuning systems, and music criticism.

Taming The Infinite

Author : Ian Stewart
ISBN : 9781623654733
Genre : Mathematics
File Size : 69. 3 MB
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From ancient Babylon to the last great unsolved problems, Ian Stewart brings us his definitive history of mathematics. In his famous straightforward style, Professor Stewart explains each major development--from the first number systems to chaos theory--and considers how each affected society and changed everyday life forever. Maintaining a personal touch, he introduces all of the outstanding mathematicians of history, from the key Babylonians, Greeks and Egyptians, via Newton and Descartes, to Fermat, Babbage and Godel, and demystifies math's key concepts without recourse to complicated formulae. Written to provide a captivating historic narrative for the non-mathematician, Taming the Infinite is packed with fascinating nuggets and quirky asides, and contains 100 illustrations and diagrams to illuminate and aid understanding of a subject many dread, but which has made our world what it is today.

The Math Instinct

Author : Keith Devlin
ISBN : 9780786736188
Genre : Science
File Size : 56. 30 MB
Format : PDF
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There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh Corgis -- and us -- is innate. But what innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. If we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math?" The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy," The Math Instinct is a real celebration of innate math sense and will provide even the most number-phobic readers with confidence in their own mathematical abilities.

Game Set And Math

Author : Ian Stewart
ISBN : 9780486150963
Genre : Mathematics
File Size : 73. 37 MB
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Twelve essays take a playful approach to mathematics, investigating the topology of a blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy.

Mathematical Snapshots

Author : Hugo Steinhaus
ISBN : 0486409147
Genre : Mathematics
File Size : 43. 74 MB
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Numerous photographs, diagrams explain mathematical phenomena in series of thought-provoking expositions. From simple puzzles to more advanced problems, topics include psychology of lottery players, arrangement of chromosomes in a human cell, new and larger prime numbers, more. Fascinating glimpse into the world of numbers. 1969 edition. 391 black-and-white illustrations.


Author : Ian Stewart
ISBN : 9780786723287
Genre : Science
File Size : 72. 9 MB
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First there was Edwin A. Abbott's remarkable Flatland, published in 1884, and one of the all-time classics of popular mathematics. Now, from mathematician and accomplished science writer Ian Stewart, comes what Nature calls "a superb sequel." Through larger-than-life characters and an inspired story line, Flatterland explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications. The journey begins when our heroine, Victoria Line, comes upon her great-great-grandfather A. Square's diary, hidden in the attic. The writings help her to contact the Space Hopper, who tempts her away from her home and family in Flatland and becomes her guide and mentor through ten dimensions. In the tradition of Alice in Wonderland and The Phantom Toll Booth, this magnificent investigation into the nature of reality is destined to become a modern classic.

The Heart Of Mathematics

Author : Edward B. Burger
ISBN : 1931914419
Genre : Mathematics
File Size : 51. 63 MB
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The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols. The authors are award-winning authors, holding awards such as: Distinguished Teaching Award (Burger, from the Mathematical Association of America); Chauvenet Prize (the best expository mathematics writer in the world, Burger, from the MAA) and many others.

Fair Division

Author : Steven J. Brams
ISBN : 0521556449
Genre : Business & Economics
File Size : 89. 66 MB
Format : PDF, Kindle
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Fair Division, unlike most research on fairness in the social sciences and mathematics, is devoted solely to the analysis of constructive procedures for actually dividing things up and resolving disputes, including indivisible items or issues, such as the marital property in a divorce or sovereignty in an international dispute.

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