how not to be wrong the power of mathematical thinking

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How Not To Be Wrong

Author : Jordan Ellenberg
ISBN : 9780698163843
Genre : Mathematics
File Size : 27. 53 MB
Format : PDF, ePub
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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.

How Not To Be Wrong

Author : Jordan Ellenberg
ISBN : 184614678X
Genre : Mathematics
File Size : 48. 41 MB
Format : PDF, ePub, Docs
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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.

How Not To Be Wrong

Author : Jordan Ellenberg
ISBN : 071819604X
Genre : Mathematics
File Size : 40. 78 MB
Format : PDF, Kindle
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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.

The Power To Compete

Author : Hiroshi Mikitani
ISBN : 9781119000600
Genre : Business & Economics
File Size : 48. 69 MB
Format : PDF, Kindle
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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.

Birth Of A Theorem

Author : Cédric Villani
ISBN : 9781448156573
Genre : Mathematics
File Size : 36. 97 MB
Format : PDF
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“This man could plainly do for mathematics what Brian Cox has done for physics” — Sunday Times How does a genius see the world? Where and how does inspiration strike? Cédric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation – a new theorem that will eventually win him the most coveted prize in mathematics and a place in the mathematical history books. Along the way he encounters obstacles and setbacks, losses of faith and even brushes with madness. His story is one of courage and partnership, doubt and anxiety, elation and despair. Of ordinary family life blurring with the abstract world of mathematical physics, of theories and equations that haunt your dreams and seeking the elusive inspiration found only in a locked, darkened room. Blending science with history, biography with myth, Villani conjures up an inimitable cast: the omnipresent Einstein, mad genius Kurt Godel, and Villani’s personal hero, John Nash. Step inside the magical world of Cédric Villani...

Fluke

Author : Joseph Mazur
ISBN : 9780465040001
Genre : Mathematics
File Size : 20. 87 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

Burn Math Class

Author : Jason Wilkes
ISBN : 9780465073818
Genre : Mathematics
File Size : 88. 77 MB
Format : PDF, Docs
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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.

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