fluke the math and myth of coincidence

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Fluke

Author : Joseph Mazur
ISBN : 9780465040001
Genre : Mathematics
File Size : 32. 76 MB
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A mathematical guide to understanding why life can seem to be one big coincidence—and why the odds of just about everything are better than we would think

Fluke

Author : Joseph Mazur
ISBN : 9781780749013
Genre : Mathematics
File Size : 57. 49 MB
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What are the chances?! This exclamation greets the scarcely believable coincidence – you’re picked up by the same taxi driver several years and thousands of miles apart or, in a second-hand bookshop far from home, you find your own childhood copy of Winnie-the-Pooh on the shelf. But the unlikely is more probable than you think. Against every fibre of common sense, the fact is that it’s quite likely that some squirrel, somewhere, will be struck by lightning as it crosses the road. The chaos and unpredictability of our lives is an illusion. There is a rational order to the universe, and it’s called mathematics. Fluke is a fascinating investigation into the true nature of chance, a must-read for maths enthusiasts and avid storytellers alike, it tears down the veil of improbability to reveal the wonderfully possible.

Fluke

Author : Joseph Mazur
ISBN : 9780465040001
Genre : Mathematics
File Size : 69. 61 MB
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A mathematical guide to understanding why life can seem to be one big coincidence—and why the odds of just about everything are better than we would think

The Improbability Principle

Author : David J. Hand
ISBN : 9780374175344
Genre : Business & Economics
File Size : 24. 60 MB
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A well-known statistician presents his theory that extraordinary and rare events are actually commonplace and cites stories of two-time lottery winners and other bizarre coincidences to support his theory that unlikely events statistically must happen. 50,000 first printing.

What S Luck Got To Do With It

Author : Joseph Mazur
ISBN : 1400834457
Genre : Mathematics
File Size : 81. 2 MB
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Why do so many gamblers risk it all when they know the odds of winning are against them? Why do they believe dice are "hot" in a winning streak? Why do we expect heads on a coin toss after several flips have turned up tails? What's Luck Got to Do with It? takes a lively and eye-opening look at the mathematics, history, and psychology of gambling to reveal the most widely held misconceptions about luck. It exposes the hazards of feeling lucky, and uses the mathematics of predictable outcomes to show when our chances of winning are actually good. Mathematician Joseph Mazur traces the history of gambling from the earliest known archaeological evidence of dice playing among Neolithic peoples to the first systematic mathematical studies of games of chance during the Renaissance, from government-administered lotteries to the glittering seductions of grand casinos, and on to the global economic crisis brought on by financiers' trillion-dollar bets. Using plenty of engaging anecdotes, Mazur explains the mathematics behind gambling--including the laws of probability, statistics, betting against expectations, and the law of large numbers--and describes the psychological and emotional factors that entice people to put their faith in winning that ever-elusive jackpot despite its mathematical improbability. As entertaining as it is informative, What's Luck Got to Do with It? demonstrates the pervasive nature of our belief in luck and the deceptive psychology of winning and losing. Some images inside the book are unavailable due to digital copyright restrictions.

Music By The Numbers

Author : Eli Maor
ISBN : 9781400889891
Genre : Mathematics
File Size : 29. 43 MB
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How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system. Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.

Euclid In The Rainforest

Author : Joseph Mazur
ISBN : 9781101664872
Genre : Mathematics
File Size : 53. 69 MB
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Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

The Hidden Brain

Author : Shankar Vedantam
ISBN : 1588369390
Genre : Social Science
File Size : 52. 62 MB
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The hidden brain is the voice in our ear when we make the most important decisions in our lives—but we’re never aware of it. The hidden brain decides whom we fall in love with and whom we hate. It tells us to vote for the white candidate and convict the dark-skinned defendant, to hire the thin woman but pay her less than the man doing the same job. It can direct us to safety when disaster strikes and move us to extraordinary acts of altruism. But it can also be manipulated to turn an ordinary person into a suicide terrorist or a group of bystanders into a mob. In a series of compulsively readable narratives, Shankar Vedantam journeys through the latest discoveries in neuroscience, psychology, and behavioral science to uncover the darkest corner of our minds and its decisive impact on the choices we make as individuals and as a society. Filled with fascinating characters, dramatic storytelling, and cutting-edge science, this is an engrossing exploration of the secrets our brains keep from us—and how they are revealed.

Zeno S Paradox

Author : Joseph Mazur
ISBN : 0452289173
Genre : Science
File Size : 80. 82 MB
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Traces the epic history of ancient Greek philosopher Zeno's yet-unsolved paradox of motion, citing the contributions of such top minds as Aristotle, Newton, and Hawking to furthering the scientific community's understanding of the elusive basic structure of time and space. Originally published as The Motion Paradox. Reprint.

Ten Great Ideas About Chance

Author : Persi Diaconis
ISBN : 9781400888283
Genre : Mathematics
File Size : 56. 18 MB
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A fascinating account of the breakthrough ideas that transformed probability and statistics In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics, economics, and finance to physics and computer science. This book tells the story of ten great ideas about chance and the thinkers who developed them, tracing the philosophical implications of these ideas as well as their mathematical impact. Persi Diaconis and Brian Skyrms begin with Gerolamo Cardano, a sixteenth-century physician, mathematician, and professional gambler who helped develop the idea that chance actually can be measured. They describe how later thinkers showed how the judgment of chance also can be measured, how frequency is related to chance, and how chance, judgment, and frequency could be unified. Diaconis and Skyrms explain how Thomas Bayes laid the foundation of modern statistics, and they explore David Hume’s problem of induction, Andrey Kolmogorov’s general mathematical framework for probability, the application of computability to chance, and why chance is essential to modern physics. A final idea—that we are psychologically predisposed to error when judging chance—is taken up through the work of Daniel Kahneman and Amos Tversky. Complete with a brief probability refresher, Ten Great Ideas about Chance is certain to be a hit with anyone who wants to understand the secrets of probability and how they were discovered.

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