Struck by Genius: How a Brain Injury Made Me a Mathematical Marvel


Jason Padgett - 2014
    Water pours from the faucet in crystalline patterns, numbers call to mind distinct geometric shapes, and intricate fractal patterns emerge from the movement of tree branches, revealing the intrinsic mathematical designs hidden in the objects around us.Yet Padgett wasn’t born this way. Twelve years ago, he had never made it past pre-algebra. But a violent mugging forever altered the way his brain works, giving him unique gifts. His ability to understand math and physics skyrocketed, and he developed the astonishing ability to draw the complex geometric shapes he saw everywhere. His stunning, mathematically precise artwork illustrates his intuitive understanding of complex mathematics.The first documented case of acquired savant syndrome with mathematical synesthesia, Padgett is a medical marvel. Struck by Genius recounts how he overcame huge setbacks and embraced his new mind. Along the way he fell in love, found joy in numbers, and spent plenty of time having his head examined. Like Born on a Blue Day and My Stroke of Insight, his singular story reveals the wondrous potential of the human brain.www.struckbygenius.com

Predictive Analytics: The Power to Predict Who Will Click, Buy, Lie, or Die


Eric Siegel - 2013
    Rather than a "how to" for hands-on techies, the book entices lay-readers and experts alike by covering new case studies and the latest state-of-the-art techniques.You have been predicted — by companies, governments, law enforcement, hospitals, and universities. Their computers say, "I knew you were going to do that!" These institutions are seizing upon the power to predict whether you're going to click, buy, lie, or die.Why? For good reason: predicting human behavior combats financial risk, fortifies healthcare, conquers spam, toughens crime fighting, and boosts sales.How? Prediction is powered by the world's most potent, booming unnatural resource: data. Accumulated in large part as the by-product of routine tasks, data is the unsalted, flavorless residue deposited en masse as organizations churn away. Surprise! This heap of refuse is a gold mine. Big data embodies an extraordinary wealth of experience from which to learn.Predictive analytics unleashes the power of data. With this technology, the computer literally learns from data how to predict the future behavior of individuals. Perfect prediction is not possible, but putting odds on the future — lifting a bit of the fog off our hazy view of tomorrow — means pay dirt.In this rich, entertaining primer, former Columbia University professor and Predictive Analytics World founder Eric Siegel reveals the power and perils of prediction: -What type of mortgage risk Chase Bank predicted before the recession. -Predicting which people will drop out of school, cancel a subscription, or get divorced before they are even aware of it themselves. -Why early retirement decreases life expectancy and vegetarians miss fewer flights. -Five reasons why organizations predict death, including one health insurance company. -How U.S. Bank, European wireless carrier Telenor, and Obama's 2012 campaign calculated the way to most strongly influence each individual. -How IBM's Watson computer used predictive modeling to answer questions and beat the human champs on TV's Jeopardy! -How companies ascertain untold, private truths — how Target figures out you're pregnant and Hewlett-Packard deduces you're about to quit your job. -How judges and parole boards rely on crime-predicting computers to decide who stays in prison and who goes free. -What's predicted by the BBC, Citibank, ConEd, Facebook, Ford, Google, IBM, the IRS, Match.com, MTV, Netflix, Pandora, PayPal, Pfizer, and Wikipedia. A truly omnipresent science, predictive analytics affects everyone, every day. Although largely unseen, it drives millions of decisions, determining whom to call, mail, investigate, incarcerate, set up on a date, or medicate.Predictive analytics transcends human perception. This book's final chapter answers the riddle: What often happens to you that cannot be witnessed, and that you can't even be sure has happened afterward — but that can be predicted in advance?Whether you are a consumer of it — or consumed by it — get a handle on the power of Predictive Analytics.

The Social Construction of Reality: A Treatise in the Sociology of Knowledge


Peter L. Berger - 1966
    In it, Berger and Luckmann reformulate the task of the sociological subdicipline that, since Max Scheler, has been known as the sociology of knowledge.

Social Physics: How Good Ideas Spread— The Lessons from a New Science


Alex Pentland - 2014
    Over years of groundbreaking experiments, he has distilled remarkable discoveries significant enough to become the bedrock of a whole new scientific field: social physics. Humans have more in common with bees than we like to admit: We’re social creatures first and foremost. Our most important habits of action—and most basic notions of common sense—are wired into us through our coordination in social groups. Social physics is about idea flow, the way human social networks spread ideas and transform those ideas into behaviors. Thanks to the millions of digital bread crumbs people leave behind via smartphones, GPS devices, and the Internet, the amount of new information we have about human activity is truly profound. Until now, sociologists have depended on limited data sets and surveys that tell us how people say they think and behave, rather than what they actually do. As a result, we’ve been stuck with the same stale social structures—classes, markets—and a focus on individual actors, data snapshots, and steady states. Pentland shows that, in fact, humans respond much more powerfully to social incentives that involve rewarding others and strengthening the ties that bind than incentives that involve only their own economic self-interest. Pentland and his teams have found that they can study patterns of information exchange in a social network without any knowledge of the actual content of the information and predict with stunning accuracy how productive and effective that network is, whether it’s a business or an entire city. We can maximize a group’s collective intelligence to improve performance and use social incentives to create new organizations and guide them through disruptive change in a way that maximizes the good. At every level of interaction, from small groups to large cities, social networks can be tuned to increase exploration and engagement, thus vastly improving idea flow.  Social Physics will change the way we think about how we learn and how our social groups work—and can be made to work better, at every level of society. Pentland leads readers to the edge of the most important revolution in the study of social behavior in a generation, an entirely new way to look at life itself.

Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation


Mark C. Chu-Carroll - 2013
    There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.

The Algorithm Design Manual


Steven S. Skiena - 1997
    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

e: the Story of a Number


Eli Maor - 1993
    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

Being Logical: A Guide to Good Thinking


Dennis Q. McInerny - 2004
    Indeed, logic goes to the very core of what we mean by human intelligence. In this concise, crisply readable book, distinguished professor D. Q. McInerny offers an indispensable guide to using logic to advantage in everyday life. Written explicitly for the layperson, McInerny’s Being Logical promises to take its place beside Strunk and White’s The Elements of Style as a classic of lucid, invaluable advice. As McInerny notes, logic is a deep, wide, and wonderfully varied field, with a bearing on every aspect of our intellectual life. A mastery of logic begins with an understanding of right reasoning–and encompasses a grasp of the close kinship between logical thought and logical expression, a knowledge of the basic terms of argument, and a familiarity with the pitfalls of illogical thinking. Accordingly, McInerny structures his book in a series of brief, penetrating chapters that build on one another to form a unified and coherent introduction to clear and effective reasoning.At the heart of the book is a brilliant consideration of argument–how an argument is founded and elaborated, how it differs from other forms of intellectual discourse, and how it critically embodies the elements of logic. McInerny teases out the subtleties and complexities of premises and conclusions, differentiates statements of fact from statements of value, and discusses the principles and uses of every major type of argument, from the syllogistic to the conditional. In addition, he provides an incisive look at illogical thinking and explains how to recognize and avoid the most common errors of logic.Elegant, pithy, and precise, Being Logical breaks logic down to its essentials through clear analysis, accessible examples, and focused insights. Whether you are a student or a teacher, a professional sharpening your career skills or an amateur devoted to the fine points of thought and expression, you are sure to find this brief guide to effecting reasoning both fascinating and illuminating.From the Hardcover edition.

Schaum's Outline of Complex Variables


Murray R. Spiegel - 1968
    Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics


John Derbyshire - 2003
    Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.

Nine Algorithms That Changed the Future: The Ingenious Ideas That Drive Today's Computers


John MacCormick - 2012
    A simple web search picks out a handful of relevant needles from the world's biggest haystack: the billions of pages on the World Wide Web. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers; and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? This is the first book to answer that question in language anyone can understand, revealing the extraordinary ideas that power our PCs, laptops, and smartphones. Using vivid examples, John MacCormick explains the fundamental "tricks" behind nine types of computer algorithms, including artificial intelligence (where we learn about the "nearest neighbor trick" and "twenty questions trick"), Google's famous PageRank algorithm (which uses the "random surfer trick"), data compression, error correction, and much more. These revolutionary algorithms have changed our world: this book unlocks their secrets, and lays bare the incredible ideas that our computers use every day.

The Nothing That Is: A Natural History of Zero


Robert M. Kaplan - 1999
    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

My Brain is Open: The Mathematical Journeys of Paul Erdős


Bruce Schechter - 1998
    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

The Sciences of the Artificial


Herbert A. Simon - 1969
    There are updates throughout the book as well. These take into account important advances in cognitive psychology and the science of design while confirming and extending the book's basic thesis: that a physical symbol system has the necessary and sufficient means for intelligent action. The chapter "Economic Reality" has also been revised to reflect a change in emphasis in Simon's thinking about the respective roles of organizations and markets in economic systems."People sometimes ask me what they should read to find out about artificial intelligence. Herbert Simon's book The Sciences of the Artificial is always on the list I give them. Every page issues a challenge to conventional thinking, and the layman who digests it well will certainly understand what the field of artificial intelligence hopes to accomplish. I recommend it in the same spirit that I recommend Freud to people who ask about psychoanalysis, or Piaget to those who ask about child psychology: If you want to learn about a subject, start by reading its founding fathers." -- George A. Miller

Move Fast and Break Things: How Facebook, Google, and Amazon Cornered Culture and Undermined Democracy


Jonathan Taplin - 2017
    Since 2001, newspaper and music revenues have fallen by 70%, book publishing, film and television profits have also fallen dramatically. Revenues at Google in this same period grew from $400 million to $74.5 billion. Google's YouTube today controls 60% of the streaming audio business and pays only 11% of the streaming audio revenues. More creative content is being consumed than ever before, but less revenue is flowing to creators and owners of the content.With the reallocation of money to monopoly platforms comes a shift in power. Google, Facebook, and Amazon now enjoy political power on par with Big Oil and Big Pharma, which in part explains how such a tremendous shift in revenues from artists to platforms could have been achieved and why it has gone unchallenged for so long.The stakes in this story go far beyond the livelihood of any one musician or journalist. As Taplin observes, the fact that more and more Americans receive their news, music and other forms of entertainment from a small group of companies poses a real threat to democracy. Move Fast and Break Things offers a vital, forward-thinking prescription for how artists can reclaim their audiences using knowledge of the past and a determination to work together. Using his own half-century career as a music and film producer and early pioneer of streaming video online, Taplin offers new ways to think about the design of the World Wide Web and specifically the way we live with the firms that dominate it.Table of contentsIntroduction1. The Great Disruption2. Levon's Story3. Tech's Counterculture Roots4. The Libertarian Counterinsurgency5. Digital Destruction6. Monopoly in the Digital Age7. Google's Regulatory Capture8. The Social Media Revolution9. Pirates of the Internet10. Libertarian and the 1 Percent11. What It Means to Be Human12. The Digital RenaissanceAfterword