Most of the time this math works quietly behind the scenes . . . until it doesn't. All sorts of seemingly innocuous mathematical mistakes can have significant consequences.Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean.Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

    This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You’ll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you’ve learned along the way. You’ll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results

    Douglas Hubbard helps us create a path to know the answer to almost any question in business, in science, or in life . . . Hubbard helps us by showing us that when we seek metrics to solve problems, we are really trying to know something better than we know it now. How to Measure Anything provides just the tools most of us need to measure anything better, to gain that insight, to make progress, and to succeed." -Peter Tippett, PhD, M.D. Chief Technology Officer at CyberTrust and inventor of the first antivirus software "Doug Hubbard has provided an easy-to-read, demystifying explanation of how managers can inform themselves to make less risky, more profitable business decisions. We encourage our clients to try his powerful, practical techniques." -Peter Schay EVP and COO of The Advisory Council "As a reader you soon realize that actually everything can be measured while learning how to measure only what matters. This book cuts through conventional cliches and business rhetoric and offers practical steps to using measurements as a tool for better decision making. Hubbard bridges the gaps to make college statistics relevant and valuable for business decisions." -Ray Gilbert EVP Lucent "This book is remarkable in its range of measurement applications and its clarity of style. A must-read for every professional who has ever exclaimed, 'Sure, that concept is important, but can we measure it?'" -Dr. Jack Stenner Cofounder and CEO of MetraMetrics, Inc.

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    But all too often, these numbers are wrong. This book is a lively guide to spotting bad statistics and learning to think critically about these influential numbers. Damned Lies and Statistics is essential reading for everyone who reads or listens to the news, for students, and for anyone who relies on statistical information to understand social problems.Joel Best bases his discussion on a wide assortment of intriguing contemporary issues that have garnered much recent media attention, including abortion, cyberporn, homelessness, the Million Man March, teen suicide, the U.S. census, and much more. Using examples from the New York Times, the Washington Post, and other major newspapers and television programs, he unravels many fascinating examples of the use, misuse, and abuse of statistical information.In this book Best shows us exactly how and why bad statistics emerge, spread, and come to shape policy debates. He recommends specific ways to detect bad statistics, and shows how to think more critically about "stat wars," or disputes over social statistics among various experts. Understanding this book does not require sophisticated mathematical knowledge; Best discusses the most basic and most easily understood forms of statistics, such as percentages, averages, and rates.This accessible book provides an alternative to either naively accepting the statistics we hear or cynically assuming that all numbers are meaningless. It shows how anyone can become a more intelligent, critical, and empowered consumer of the statistics that inundate both the social sciences and our media-saturated lives.

    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

    Bueno de Mesquita uses game theory and its insights into human behavior to predict and even engineer political, financial, and personal events. His forecasts, which have been employed by everyone from the CIA to major business firms, have an amazing 90 percent accuracy rate, and in this dazzling and revelatory book he shares his startling methods and lets you play along in a range of high-stakes negotiations and conflicts.Revealing the origins of game theory and the advances made by John Nash, the Nobel Prize—winning scientist perhaps best known from A Beautiful Mind, Bueno de Mesquita details the controversial and cold-eyed system of calculation that he has since created, one that allows individuals to think strategically about what their opponents want, how much they want it, and how they might react to every move. From there, Bueno de Mesquita games such events as the North Korean disarmament talks and the Middle East peace process and recalls, among other cases, how he correctly predicted which corporate clients of the Arthur Andersen accounting firm were most likely engaged in fraudulent activity (hint: one of them started with an E). And looking as ever to the future, Bueno de Mesquita also demonstrates how game theory can provide successful strategies to combat both global warming (instead of relying on empty regulations, make nations compete in technology) and terror (figure out exactly how much U.S. aid will make Pakistan fight the Taliban).But as Bueno de Mesquita shows, game theory isn’t just for saving the world. It can help you in your own life, whether you want to succeed in a lawsuit (lawyers argue too much the merits of the case and question too little the motives of their opponents), elect the CEO of your company (change the system of voting on your board to be more advantageous to your candidate), or even buy a car (start by knowing exactly what you want, call every dealer in a fifty-mile radius, and negotiate only over the phone).Savvy, provocative, and shockingly effective, The Predictioneer’s Game will change how you understand the world and manage your future. Life’s a game, and how you play is whether you win or lose.

    Written not from a post-crisis perspective – but from a preventative point of view – this book traces the development of financial derivatives from bonds to credit default swaps, and shows how mathematical formulas went beyond pricing to expand their use to the point where they dwarfed the real economy. You'll learn how the deadly allure of their ice-cold beauty has misled generations of economists and investors, and how continued reliance on these formulas can either assist future economic development, or send the global economy into the financial equivalent of a cardiac arrest. Rather than rehash tales of post-crisis fallout, this book focuses on preventing the next one. By exploring the heart of the shadow economy, you'll be better prepared to ride the rough waves of finance into the turbulent future. Delve into one of the world's least-understood but highest-impact industries Understand the key principles of quantitative finance and the evolution of the field Learn what quantitative finance has become, and how it affects us all Discover how the industry's next steps dictate the economy's future How do you create a quadrillion dollars out of nothing, blow it away and leave a hole so large that even years of "quantitative easing" can't fill it – and then go back to doing the same thing? Even amidst global recovery, the financial system still has the potential to seize up at any moment. The Money Formula explores the how and why of financial disaster, what must happen to prevent the next one.

    This is economist Bryan Caplan's sobering assessment in this provocative and eye-opening book. Caplan argues that voters continually elect politicians who either share their biases or else pretend to, resulting in bad policies winning again and again by popular demand.Boldly calling into question our most basic assumptions about American politics, Caplan contends that democracy fails precisely because it does what voters want. Through an analysis of Americans' voting behavior and opinions on a range of economic issues, he makes the convincing case that noneconomists suffer from four prevailing biases: they underestimate the wisdom of the market mechanism, distrust foreigners, undervalue the benefits of conserving labor, and pessimistically believe the economy is going from bad to worse. Caplan lays out several bold ways to make democratic government work better--for example, urging economic educators to focus on correcting popular misconceptions and recommending that democracies do less and let markets take up the slack.The Myth of the Rational Voter takes an unflinching look at how people who vote under the influence of false beliefs ultimately end up with government that delivers lousy results. With the upcoming presidential election season drawing nearer, this thought-provoking book is sure to spark a long-overdue reappraisal of our elective system.

    But in the advanced economies there is mounting evidence that ever-increasing consumption adds little to human happiness and may even impede it. More urgently, it is now clear that the ecosystems that sustain our economies are collapsing under the impacts of rising consumption. Unless we can radically lower the environmental impact of economic activity - and there is no evidence to suggest that we can - we will have to devise a path to prosperity that does not rely on continued growth.Economic heresy? Or an opportunity to improve the sources of well-being, creativity and lasting prosperity that lie outside the realm of the market? Tim Jackson provides a credible vision of how human society can flourish �1/2 within the ecological limits of a finite planet. Fulfilling this vision is simply the most urgent task of our times.This book is a substantially revised and updated version of Jackson's controversial study for the Sustainable Development Commission, an advisory body to the UK Government. The study rapidly became the most downloaded report in the Commission's nine year history when it was launched earlier this year.

    It examines a distinctive stage in the development of capitalism that began in the 1980s, in order to understand where we are now and how capitalism has evolved since. The book discusses the crisis tendencies of capitalism--including the S.E. Asian banking crisis, the collapse of the Russian economy, and the 1997-1998 global financial crisis--asking whether capitalism is doomed to fail. In the end, the author ruminates on a possible alternative to capitalism, discussing socialism, communal and cooperative experiments, and alternatives proposed by environmentalists.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    In contrast, they have advanced a policy of draconian budget cuts--austerity--to solve the financial crisis. We are told that we have all lived beyond our means and now need to tighten our belts. This view conveniently forgets where all that debt came from. Not from an orgy of government spending, but as the direct result of bailing out, recapitalizing, and adding liquidity to the broken banking system. Through these actions private debt was rechristened as government debt while those responsible for generating it walked away scot free, placing the blame on the state, and the burden on the taxpayer. That burden now takes the form of a global turn to austerity, the policy of reducing domestic wages and prices to restore competitiveness and balance the budget. The problem, according to political economist Mark Blyth, is that austerity is a very dangerous idea. First of all, it doesn't work. As the past four years and countless historical examples from the last 100 years show, while it makes sense for any one state to try and cut its way to growth, it simply cannot work when all states try it simultaneously: all we do is shrink the economy. In the worst case, austerity policies worsened the Great Depression and created the conditions for seizures of power by the forces responsible for the Second World War: the Nazis and the Japanese military establishment. As Blyth amply demonstrates, the arguments for austerity are tenuous and the evidence thin. Rather than expanding growth and opportunity, the repeated revival of this dead economic idea has almost always led to low growth along with increases in wealth and income inequality. Austerity demolishes the conventional wisdom, marshaling an army of facts to demand that we austerity for what it is, and what it costs us.

    And so, too often, 'the bland lead the bland'. Our unfamiliar problems need a new approach, and the reception given to this famous book has shown the value of its fresh, lively ideas.'A compelling challenge to conventional thought'  The New York Times'He shows himself a truly sensitive and civilized man, whose ideas are grounded in the common culture of the two continents, and may serve as a link between them; his book is of foremost importance for them both'  The Times Literary SupplementJohn Kenneth Galbraith (1908-2006) was a Canadian-American economist. A Keynesian and an institutionalist, Galbraith was a leading proponent of 20th-century American liberalism and progressivism. Galbraith was the author of 30 books, including The Economics of Innocent Fraud, The Great Crash: 1929, and A History of Economics.

    Instead of giving you the most broadly popular result, Google now tries to predict what you are most likely to click on. According to MoveOn.org board president Eli Pariser, Google's change in policy is symptomatic of the most significant shift to take place on the Web in recent years - the rise of personalization. In this groundbreaking investigation of the new hidden Web, Pariser uncovers how this growing trend threatens to control how we consume and share information as a society-and reveals what we can do about it.Though the phenomenon has gone largely undetected until now, personalized filters are sweeping the Web, creating individual universes of information for each of us. Facebook - the primary news source for an increasing number of Americans - prioritizes the links it believes will appeal to you so that if you are a liberal, you can expect to see only progressive links. Even an old-media bastion like "The Washington Post" devotes the top of its home page to a news feed with the links your Facebook friends are sharing. Behind the scenes a burgeoning industry of data companies is tracking your personal information to sell to advertisers, from your political leanings to the color you painted your living room to the hiking boots you just browsed on Zappos.In a personalized world, we will increasingly be typed and fed only news that is pleasant, familiar, and confirms our beliefs - and because these filters are invisible, we won't know what is being hidden from us. Our past interests will determine what we are exposed to in the future, leaving less room for the unexpected encounters that spark creativity, innovation, and the democratic exchange of ideas.While we all worry that the Internet is eroding privacy or shrinking our attention spans, Pariser uncovers a more pernicious and far-reaching trend on the Internet and shows how we can - and must - change course. With vivid detail and remarkable scope, The Filter Bubble reveals how personalization undermines the Internet's original purpose as an open platform for the spread of ideas and could leave us all in an isolated, echoing world.

    Liberals believe they are happier than conservatives, and conservatives disagree. In fact, almost every group thinks it is happier than everyone else. In this provocative new book, Arthur C. Brooks explodes the myths about happiness in America. As he did in the controversial Who Really Cares: The Surprising Truth About Compassionate Conservatism, Brooks examines vast amounts of evidence and empirical research to uncover the truth about who is happy in America, who is not, and-most important-why. He finds that there is a real “happiness gap” in America today, and it lies disconcertingly close to America’s cultural and political fault lines. The great divide between the happy and the unhappy in America, Brooks shows, is largely due to differences in social and cultural values. The values that bring happiness are faith, charity, hard work, optimism, and individual liberty. Secularism, excessive reliance on the state to solve problems, and an addiction to security all promote unhappiness. What can be done to maximize America’s happiness? Replete with the unconventional wisdom for which Brooks has come to be known, Gross National Happiness offers surprising and illuminating conclusions about how our government can best facilitate Americans in their pursuit of happiness.