HOW NOT TO BE WRONG THE POWER OF MATHEMATICAL THINKING

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How Not To Be Wrong

Author : Jordan Ellenberg
ISBN : 9780143127536
Genre : Business & Economics
File Size : 24.92 MB
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"Using the mathematician's method of analyzing life and exposing the hard-won insights of the academic community to the layman, minus the jargon ... Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need"--
Category: Business & Economics

How Not To Be Wrong

Author : Jordan Ellenberg
ISBN : 9781594205224
Genre : Mathematics
File Size : 74.6 MB
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The columnist for Slate's popular "Do the Math" celebrates the logical, illuminating nature of math in today's world, sharing in accessible language mathematical approaches that demystify complex and everyday problems.
Category: Mathematics

How Not To Be Wrong

Author : Jordan Ellenberg
ISBN : 071819604X
Genre : Mathematics
File Size : 71.34 MB
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THE SUNDAY TIMES BESTSELLER The maths we learn in school can seem like an abstract set of rules, laid down by the ancients and not to be questioned. In fact, Jordan Ellenberg shows us, maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surface. In How Not to be Wrong, Ellenberg explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore, and when to change the equation entirely. Along the way, he explains calculus in a single page, describes Gödel's theorem using only one-syllable words, and reveals how early you actually need to get to the airport.
Category: Mathematics

How Not To Be Wrong

Author : Jordan Ellenberg
ISBN : 9780698163843
Genre : Mathematics
File Size : 55.78 MB
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The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Category: Mathematics

The Grasshopper King

Author : Jordan Ellenberg
ISBN : 9781566893862
Genre : Fiction
File Size : 27.45 MB
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This debut novel is a profoundly absurd campus satire about immortality, obsession, obscurity, and true love.
Category: Fiction

Math On Trial

Author : Leila Schneps
ISBN : 9780465037940
Genre : Mathematics
File Size : 71.48 MB
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In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by journalists, politicians or other public figures, but in the case of the law your liberty—and your life—can depend on the right calculation. Math on Trial tells the story of ten trials in which mathematical arguments were used—and disastrously misused—as evidence. Despite years of math classes, most people (and most jurors) fail to detect even simple mathematical sophistry, resulting in such horrors as a medical expert’s faulty calculation of probabilities providing the key evidence for a British mother’s conviction for the murder of her two babies. The conviction was later overturned, but three years in prison took its toll—Sally Clark died of acute alcohol intoxication in March of 2007. Mathematicians Leila Schneps and Coralie Colmez use a wide range of examples, from a mid-19th-century dispute over wills that became a signal case in the forensic use of mathematics, to the conviction and subsequent exoneration of Amanda Knox, to show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. The cases discussed include: -The Case of Amanda Knox (How a judge’s denial of a second DNA test may have destroyed a chance to reveal the truth about Meredith Kercher’s murder) -The Case of Joe Sneed (How a fabricated probability framed a son for his parents’ grisly killing) -The Case of Sally Clark (How multiplying non-independent probabilities landed an innocent mother in jail for the murder of her children) -The Case of Janet Collins (How unjustified estimates combined with a miscalculated probability convicted an innocent couple of violent robbery) A colorful narrative of mathematical abuse featuring such characters as Charles Ponzi, Alfred Dreyfus, Hetty Green, and Oliver Wendell Holmes, Math on Trial shows that legal expertise isn’t everything when it comes to proving a man innocent.
Category: Mathematics

Burn Math Class

Author : Jason Wilkes
ISBN : 9780465073818
Genre : Mathematics
File Size : 80.70 MB
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Forget everything you’ve been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to mathematics education—with its unwelcoming textbooks, unexplained rules, and authoritarian assertions—and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically—and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various “advanced” topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you’ve ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.
Category: Mathematics

Mastermind

Author : Maria Konnikova
ISBN : 9781101606230
Genre : Psychology
File Size : 86.32 MB
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The New York Times bestselling guide to thinking like literature's greatest detective. "Steven Pinker meets Sir Arthur Conan Doyle" (Boston Globe), by the author of The Confidence Game. No fictional character is more renowned for his powers of thought and observation than Sherlock Holmes. But is his extraordinary intellect merely a gift of fiction, or can we learn to cultivate these abilities ourselves, to improve our lives at work and at home? We can, says psychologist and journalist Maria Konnikova, and in Mastermind she shows us how. Beginning with the “brain attic”—Holmes’s metaphor for how we store information and organize knowledge—Konnikova unpacks the mental strategies that lead to clearer thinking and deeper insights. Drawing on twenty-first-century neuroscience and psychology, Mastermind explores Holmes’s unique methods of ever-present mindfulness, astute observation, and logical deduction. In doing so, it shows how each of us, with some self-awareness and a little practice, can employ these same methods to sharpen our perceptions, solve difficult problems, and enhance our creative powers. For Holmes aficionados and casual readers alike, Konnikova reveals how the world’s most keen-eyed detective can serve as an unparalleled guide to upgrading the mind. From the Trade Paperback edition.
Category: Psychology

The Power To Compete

Author : Hiroshi Mikitani
ISBN : 9781119000600
Genre : Business & Economics
File Size : 84.28 MB
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"If you're as interested in Japan as I am, I think you'll find that The Power to Compete is a smart and thought-provoking look at the future of a fascinating country." - Bill Gates, "5 Books to Read This Summer" Father and son – entrepreneur and economist – search for Japan's economic cure The Power to Compete tackles the issues central to the prosperity of Japan – and the world – in search of a cure for the "Japan Disease." As founder and CEO of Rakuten, one of the world's largest Internet companies, author Hiroshi Mikitani brings an entrepreneur's perspective to bear on the country's economic stagnation. Through a freewheeling and candid conversation with his economist father, Ryoichi Mikitani, the two examine the issues facing Japan, and explore possible roadmaps to revitalization. How can Japan overhaul its economy, education system, immigration, public infrastructure, and hold its own with China? Their ideas include applying business techniques like Key Performance Indicators to fix the economy, using information technology to cut government bureaucracy, and increasing the number of foreign firms with a head office in Japan. Readers gain rare insight into Japan's future, from both academic and practical perspectives on the inside. Mikitani argues that Japan's tendency to shun international frameworks and hide from global realities is the root of the problem, while Mikitani Sr.'s background as an international economist puts the issue in perspective for a well-rounded look at today's Japan. Examine the causes of Japan's endless economic stagnation Discover the current efforts underway to enhance Japan's competitiveness Learn how free market "Abenomics" affected Japan's economy long-term See Japan's issues from the perspective of an entrepreneur and an economist Japan's malaise is seated in a number of economic, business, political, and cultural issues, and this book doesn't shy away from hot topics. More than a discussion of economics, this book is a conversation between father and son as they work through opposing perspectives to help their country find The Power to Compete.
Category: Business & Economics