The Seven Pillars of Statistical Wisdom
Stephen M. Stigler - 2016
It allows one to gain information by discarding information, namely, the individuality of the observations. Stigler s second pillar, information measurement, challenges the importance of big data by noting that observations are not all equally important: the amount of information in a data set is often proportional to only the square root of the number of observations, not the absolute number. The third idea is likelihood, the calibration of inferences with the use of probability. Intercomparison is the principle that statistical comparisons do not need to be made with respect to an external standard. The fifth pillar is regression, both a paradox (tall parents on average produce shorter children; tall children on average have shorter parents) and the basis of inference, including Bayesian inference and causal reasoning. The sixth concept captures the importance of experimental design for example, by recognizing the gains to be had from a combinatorial approach with rigorous randomization. The seventh idea is the residual the notion that a complicated phenomenon can be simplified by subtracting the effect of known causes, leaving a residual phenomenon that can be explained more easily.The Seven Pillars of Statistical Wisdom presents an original, unified account of statistical science that will fascinate the interested layperson and engage the professional statistician."
Introductory Functional Analysis with Applications
Erwin Kreyszig - 1978
With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists.Currently available in the Series: Emil ArtinGeometnc Algebra R. W. CarterSimple Groups Of Lie Type Richard CourantDifferential and Integrai Calculus. Volume I Richard CourantDifferential and Integral Calculus. Volume II Richard Courant & D. HilbertMethods of Mathematical Physics, Volume I Richard Courant & D. HilbertMethods of Mathematical Physics. Volume II Harold M. S. CoxeterIntroduction to Modern Geometry. Second Edition Charles W. Curtis, Irving ReinerRepresentation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartzunear Operators. Part One. General Theory Nelson Dunford. Jacob T. SchwartzLinear Operators, Part Two. Spectral Theory--Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. SchwartzLinear Operators. Part Three. Spectral Operators Peter HenriciApplied and Computational Complex Analysis. Volume I--Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang WuA Course in Modern Algebra Harry HochstadtIntegral Equations Erwin KreyszigIntroductory Functional Analysis with Applications P. M. PrenterSplines and Variational Methods C. L. SiegelTopics in Complex Function Theory. Volume I --Elliptic Functions and Uniformizatton Theory C. L. SiegelTopics in Complex Function Theory. Volume II --Automorphic and Abelian Integrals C. L. SiegelTopics In Complex Function Theory. Volume III --Abelian Functions & Modular Functions of Several Variables J. J. StokerDifferential Geometry
Social Statistics for a Diverse Society
Chava Frankfort-Nachmias - 1996
The authors help students learn key sociological concepts through real research examples related to the dynamic interplay of race, class, gender, and other social variables.
Critical Mass: How One Thing Leads to Another
Philip Ball - 2003
These new discoveries are part of an old tradition. In the seventeenth century the philosopher Thomas Hobbes, dismayed by the impending civil war in England, decided that he would work out what kind of government was needed for a stable society. His solution sparked a new way of thinking about human behavior in looking for the "scientific" rules of society.Adam Smith, Immanuel Kant, Auguste Comte, and John Stuart Mill pursued this idea from different political perspectives. But these philosophers lacked the tools that modern physics can now bring to bear on the matter. Philip Ball shows how, by using these tools, we can understand many aspects of mass human behavior. Once we recognize that we do not make most of our decisions in isolation but are affected by what others decide, we can start to discern a surprising and perhaps even disturbing predictability in our laws, institutions, and customs.Lively and compelling, Critical Mass is the first book to bring these new ideas together and to show how they fit within the broader historical context of a rational search for better ways to live.
Irrational Exuberance
Robert J. Shiller - 2000
The original and bestselling 2000 edition of Irrational Exuberance evoked Alan Greenspan’s infamous 1996 use of that phrase to explain the alternately soaring and declining stock market. It predicted the collapse of the tech stock bubble through an analysis of the structural, cultural, and psychological factors behind levels of price growth not reflected in any other sector of the economy. In the second edition (2005), Shiller folded real estate into his analysis of market volatility, marshalling evidence that housing prices were dangerously inflated as well, a bubble that could soon burst, leading to a “string of bankruptcies” and a “worldwide recession.” That indeed came to pass, with consequences that the 2009 preface to this edition deals with. Irrational Exuberance is more than ever a cogent, chilling, and astonishingly far-seeing analytical work that no one with any money in any market anywhere can afford not to read–and heed.
Das Kapital
Karl Marx - 1867
From Kapital sprung the economic and political systems that at one time dominated half the earth and for nearly a century kept the world on the brink of war. Even today, more than one billion Chinese citizens live under a regime that proclaims fealty to Marxist ideology. Yet this important tome has been passed over by many readers frustrated by Marx’s difficult style and his preoccupation with nineteenth-century events of little relevance to today's reader.Here Serge Levitsky presents a revised version of Kapital, abridged to emphasize the political and philosophical core of Marx’s work while trimming away much that is now unimportant. Pointing out Marx’s many erroneous predictions about the development of capitalism, Levitsky's introduction nevertheless argues for Kapital's relevance as a prime example of a philosophy of economic determinism that "subordinates the problems of human freedom and human dignity to the issues of who should own the means of production and how wealth should be distributed."Here then is a fresh and highly readable version of a work whose ideas provided inspiration for communist regimes' ideological war against capitalism, a struggle that helped to shape the world today.
Computational Complexity
Sanjeev Arora - 2007
Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set.
The Theory of the Leisure Class
Thorstein Veblen - 1899
Veblen's The Theory of the Leisure Class is in the tradition of Adam Smith's The Wealth of Nations and Thomas Hobbes's Leviathan, yet it provides a surprisingly contemporary look at American economics and society.Establishing such terms as "conspicuous consumption" and "pecuniary emulation," Veblen's most famous work has become an archetype not only of economic theory, but of historical and sociological thought as well. As sociologist Alan Wolfe writes in his Introduction, Veblen "skillfully . . . wrote a book that will be read so long as the rich are different from the rest of us; which, if the future is anything like the past, they always will be."
Do Dice Play God?: The Mathematics of Uncertainty
Ian Stewart - 2019
We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty --- indeed, scientific advances indicate that the universe might be fundamentally inexact --- and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong.Thankfully, there is hope. As award-winning mathematician Ian Stewart reveals, over the course of history, mathematics has given us some of the tools we need to better manage the uncertainty that pervades our lives. From forecasting, to medical research, to figuring out how to win Let's Make a Deal, Do Dice Play God? is a surprising and satisfying tour of what we can know, and what we never will.
Bitcoin and Cryptocurrency Technologies: A Comprehensive Introduction
Arvind Narayanan - 2016
Whether you are a student, software developer, tech entrepreneur, or researcher in computer science, this authoritative and self-contained book tells you everything you need to know about the new global money for the Internet age.How do Bitcoin and its block chain actually work? How secure are your bitcoins? How anonymous are their users? Can cryptocurrencies be regulated? These are some of the many questions this book answers. It begins by tracing the history and development of Bitcoin and cryptocurrencies, and then gives the conceptual and practical foundations you need to engineer secure software that interacts with the Bitcoin network as well as to integrate ideas from Bitcoin into your own projects. Topics include decentralization, mining, the politics of Bitcoin, altcoins and the cryptocurrency ecosystem, the future of Bitcoin, and more.An essential introduction to the new technologies of digital currencyCovers the history and mechanics of Bitcoin and the block chain, security, decentralization, anonymity, politics and regulation, altcoins, and much moreFeatures an accompanying website that includes instructional videos for each chapter, homework problems, programming assignments, and lecture slidesAlso suitable for use with the authors' Coursera online courseElectronic solutions manual (available only to professors)
Everybody Lies: Big Data, New Data, and What the Internet Can Tell Us About Who We Really Are
Seth Stephens-Davidowitz - 2017
This staggering amount of information—unprecedented in history—can tell us a great deal about who we are—the fears, desires, and behaviors that drive us, and the conscious and unconscious decisions we make. From the profound to the mundane, we can gain astonishing knowledge about the human psyche that less than twenty years ago, seemed unfathomable.Everybody Lies offers fascinating, surprising, and sometimes laugh-out-loud insights into everything from economics to ethics to sports to race to sex, gender and more, all drawn from the world of big data. What percentage of white voters didn’t vote for Barack Obama because he’s black? Does where you go to school effect how successful you are in life? Do parents secretly favor boy children over girls? Do violent films affect the crime rate? Can you beat the stock market? How regularly do we lie about our sex lives and who’s more self-conscious about sex, men or women?Investigating these questions and a host of others, Seth Stephens-Davidowitz offers revelations that can help us understand ourselves and our lives better. Drawing on studies and experiments on how we really live and think, he demonstrates in fascinating and often funny ways the extent to which all the world is indeed a lab. With conclusions ranging from strange-but-true to thought-provoking to disturbing, he explores the power of this digital truth serum and its deeper potential—revealing biases deeply embedded within us, information we can use to change our culture, and the questions we’re afraid to ask that might be essential to our health—both emotional and physical. All of us are touched by big data everyday, and its influence is multiplying. Everybody Lies challenges us to think differently about how we see it and the world.
The Righteous Mind: Why Good People Are Divided by Politics and Religion
Jonathan Haidt - 2012
His starting point is moral intuition—the nearly instantaneous perceptions we all have about other people and the things they do. These intuitions feel like self-evident truths, making us righteously certain that those who see things differently are wrong. Haidt shows us how these intuitions differ across cultures, including the cultures of the political left and right. He blends his own research findings with those of anthropologists, historians, and other psychologists to draw a map of the moral domain. He then examines the origins of morality, overturning the view that evolution made us fundamentally selfish creatures. But rather than arguing that we are innately altruistic, he makes a more subtle claim—that we are fundamentally groupish. It is our groupishness, he explains, that leads to our greatest joys, our religious divisions, and our political affiliations. In a stunning final chapter on ideology and civility, Haidt shows what each side is right about, and why we need the insights of liberals, conservatives, and libertarians to flourish as a nation.
How to Get Rich
Felix Dennis - 2007
And if someone like me can become rich, then so can you - no matter what your present circumstances. Here is how I did it and what I learned along the way.' So writes Felix Dennis, who believes that almost anyone of reasonable intelligence can become rich, given sufficient motivation and application. How To Get Rich is a distillation of his business wisdom. Primarily concerned with the step-by-step creation of wealth, it ruthlessly dissects the business failures and financial triumphs of 'a South London lad who became rich virtually by accident'. Part manual, part memoir, part primer, this book is a template for those who are willing to stare down failure and transform their lives.Canny, infuriating, cynical and generous by turns, How To Get Rich is an invaluable guide to 'the surprisingly simple art of collecting money which already has your name on it'.
Being Wrong: Adventures in the Margin of Error
Kathryn Schulz - 2010
Kathryn Schulz, editor of Grist magazine, argues that error is the fundamental human condition and should be celebrated as such. Guiding the reader through the history and psychology of error, from Socrates to Alan Greenspan, Being Wrong will change the way you perceive screw-ups, both of the mammoth and daily variety, forever.
Humble Pi: A Comedy of Maths Errors
Matt Parker - 2019
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.