What is a P-Value Anyway? 34 Stories to Help You Actually Understand Statistics


Andrew J. Vickers - 2009
    Drawing on his experience as a medical researcher, Vickers blends insightful explanations and humor, with minimal math, to help readers understand and interpret the statistics they read every day. Describing data; Data distributions; Variation of study results: confidence intervals; Hypothesis testing; Regression and decision making; Some common statistical errors, and what they teach us For all readers interested in statistics.

Flow: The Psychology of Optimal Experience


Mihaly Csikszentmihalyi - 1990
    During flow, people typically experience deep enjoyment, creativity, and a total involvement with life. Csikszentmihalyi demonstrates the ways this positive state can be controlled, not just left to chance. Flow: The Psychology of Optimal Experience teaches how, by ordering the information that enters our consciousness, we can discover true happiness, unlock our potential, and greatly improve the quality of our lives.

Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math


Alex Bellos - 2010
    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.

Introduction to Algorithms


Thomas H. Cormen - 1989
    Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor.

Thinking in Systems: A Primer


Donella H. Meadows - 2008
    Edited by the Sustainability Institute’s Diana Wright, this essential primer brings systems thinking out of the realm of computers and equations and into the tangible world, showing readers how to develop the systems-thinking skills that thought leaders across the globe consider critical for 21st-century life.Some of the biggest problems facing the world—war, hunger, poverty, and environmental degradation—are essentially system failures. They cannot be solved by fixing one piece in isolation from the others, because even seemingly minor details have enormous power to undermine the best efforts of too-narrow thinking.While readers will learn the conceptual tools and methods of systems thinking, the heart of the book is grander than methodology. Donella Meadows was known as much for nurturing positive outcomes as she was for delving into the science behind global dilemmas. She reminds readers to pay attention to what is important, not just what is quantifiable, to stay humble, and to stay a learner.In a world growing ever more complicated, crowded, and interdependent, Thinking in Systems helps readers avoid confusion and helplessness, the first step toward finding proactive and effective solutions.

The Elephant in the Brain: Hidden Motives in Everyday Life


Kevin Simler - 2017
    Our brains, therefore, are designed not just to hunt and gather, but also to help us get ahead socially, often via deception and self-deception. But while we may be self-interested schemers, we benefit by pretending otherwise. The less we know about our own ugly motives, the better - and thus we don't like to talk or even think about the extent of our selfishness. This is "the elephant in the brain." Such an introspective taboo makes it hard for us to think clearly about our nature and the explanations for our behavior. The aim of this book, then, is to confront our hidden motives directly - to track down the darker, unexamined corners of our psyches and blast them with floodlights. Then, once everything is clearly visible, we can work to better understand ourselves: Why do we laugh? Why are artists sexy? Why do we brag about travel? Why do we prefer to speak rather than listen?Our unconscious motives drive more than just our private behavior; they also infect our venerated social institutions such as Art, School, Charity, Medicine, Politics, and Religion. In fact, these institutions are in many ways designed to accommodate our hidden motives, to serve covert agendas alongside their "official" ones. The existence of big hidden motives can upend the usual political debates, leading one to question the legitimacy of these social institutions, and of standard policies designed to favor or discourage them. You won't see yourself - or the world - the same after confronting the elephant in the brain.

Play: How It Shapes the Brain, Opens the Imagination, and Invigorates the Soul


Stuart M. Brown Jr. - 2009
    Or the blissful abandon of a golden retriever racing with glee across a lawn. This is the joy of play. By definition, play is purposeless and all-consuming. And, most important, it’s fun. As we become adults, taking time to play feels like a guilty pleasure—a distraction from “real” work and life. But as Dr. Stuart Brown illustrates, play is anything but trivial. It is a biological drive as integral to our health as sleep or nutrition. In fact, our ability to play throughout life is the single most important factor in determining our success and happiness. Dr. Brown has spent his career studying animal behavior and conducting more than six thousand “play histories” of humans from all walks of life—from serial murderers to Nobel Prize winners. Backed by the latest research, Play explains why play is essential to our social skills, adaptability, intelligence, creativity, ability to problem solve, and more. Play is hardwired into our brains—it is the mechanism by which we become resilient, smart, and adaptable people. Beyond play’s role in our personal fulfillment, its benefits have profound implications for child development and the way we parent, education and social policy, business innovation, productivity, and even the future of our society. From new research suggesting the direct role of three-dimensional-object play in shaping our brains to animal studies showing the startling effects of the lack of play, Brown provides a sweeping look at the latest breakthroughs in our understanding of the importance of this behavior. A fascinating blend of cutting-edge neuroscience, biology, psychology, social science, and inspiring human stories of the transformative power of play, this book proves why play just might be the most important work we can ever do.

Anatomy of an Epidemic: Magic Bullets, Psychiatric Drugs, and the Astonishing Rise of Mental Illness in America


Robert Whitaker - 2010
    What is going on? Anatomy of an Epidemic challenges readers to think through that question themselves. First, Whitaker investigates what is known today about the biological causes of mental disorders. Do psychiatric medications fix “chemical imbalances” in the brain, or do they, in fact, create them? Researchers spent decades studying that question, and by the late 1980s, they had their answer. Readers will be startled—and dismayed—to discover what was reported in the scientific journals. Then comes the scientific query at the heart of this book: During the past fifty years, when investigators looked at how psychiatric drugs affected long-term outcomes, what did they find? Did they discover that the drugs help people stay well? Function better? Enjoy good physical health? Or did they find that these medications, for some paradoxical reason, increase the likelihood that people will become chronically ill, less able to function well, more prone to physical illness?  This is the first book to look at the merits of psychiatric medications through the prism of long-term results. Are long-term recovery rates higher for medicated or unmedicated schizophrenia patients? Does taking an antidepressant decrease or increase the risk that a depressed person will become disabled by the disorder? Do bipolar patients fare better today than they did forty years ago, or much worse? When the National Institute of Mental Health (NIMH) studied the long-term outcomes of children with ADHD, did they determine that stimulants provide any benefit?  By the end of this review of the outcomes literature, readers are certain to have a haunting question of their own: Why have the results from these long-term studies—all of which point to the same startling conclusion—been kept from the public?  In this compelling history, Whitaker also tells the personal stories of children and adults swept up in this epidemic. Finally, he reports on innovative programs of psychiatric care in Europe and the United States that are producing good long-term outcomes. Our nation has been hit by an epidemic of disabling mental illness, and yet, as Anatomy of an Epidemic reveals, the medical blueprints for curbing that epidemic have already been drawn up.

The Death Of Expertise: The Campaign Against Established Knowledge and Why it Matters


Thomas M. Nichols - 2017
    While this has had the positive effect of equalizing access to knowledge, it also has lowered the bar on what depth of knowledge is required to consider oneself an "expert." A cult of anti-expertise sentiment has coincided with anti-intellectualism, resulting in massively viral yet poorly informed debates ranging from the anti-vaccination movement to attacks on GMOs. This surge in intellectual egalitarianism has altered the landscape of debates-all voices are equal, and "fact" is a subjective term. Browsing WebMD puts one on equal footing with doctors, and Wikipedia allows all to be foreign policy experts, scientists, and more. As Tom Nichols shows in The Death of Expertise, there are a number of reasons why this has occurred-ranging from easy access to Internet search engines to a customer satisfaction model within higher education. The product of these interrelated trends, Nichols argues, is a pervasive distrust of expertise among the public coinciding with an unfounded belief among non-experts that their opinions should have equal standing with those of the experts. The experts are not always right, of course, and Nichols discusses expert failure. The crucial point is that bad decisions by experts can and have been effectively challenged by other well-informed experts. The issue now is that the democratization of information dissemination has created an army of ill-informed citizens who denounce expertise.When challenged, non-experts resort to the false argument that the experts are often wrong. Though it may be true, but the solution is not to jettison expertise as an ideal; it is to improve our expertise. Nichols is certainly not opposed to information democratization, but rather the enlightenment people believe they achieve after superficial internet research. He shows in vivid detail the ways in which this impulse is coursing through our culture and body politic, but the larger goal is to explain the benefits that expertise and rigorous learning regimes bestow upon all societies.

The Annotated Turing: A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine


Charles Petzold - 2008
    Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be "computable," creating the field of computability theory in the process, a foundation of present-day computer programming.The book expands Turing's original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing's statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others.Interwoven into the narrative are the highlights of Turing's own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.

The Art of Choosing


Sheena Iyengar - 2010
    Coke or Pepsi? Save or spend? Stay or go?Whether mundane or life-altering, these choices define us and shape our lives. Sheena Iyengar asks the difficult questions about how and why we choose: Is the desire for choice innate or bound by culture? Why do we sometimes choose against our best interests? How much control do we really have over what we choose? Sheena Iyengar's award-winning research reveals that the answers are surprising and profound. In our world of shifting political and cultural forces, technological revolution, and interconnected commerce, our decisions have far-reaching consequences. Use THE ART OF CHOOSING as your companion and guide for the many challenges ahead.

Deep Learning


Ian Goodfellow - 2016
    Because the computer gathers knowledge from experience, there is no need for a human computer operator to formally specify all the knowledge that the computer needs. The hierarchy of concepts allows the computer to learn complicated concepts by building them out of simpler ones; a graph of these hierarchies would be many layers deep. This book introduces a broad range of topics in deep learning.The text offers mathematical and conceptual background, covering relevant concepts in linear algebra, probability theory and information theory, numerical computation, and machine learning. It describes deep learning techniques used by practitioners in industry, including deep feedforward networks, regularization, optimization algorithms, convolutional networks, sequence modeling, and practical methodology; and it surveys such applications as natural language processing, speech recognition, computer vision, online recommendation systems, bioinformatics, and videogames. Finally, the book offers research perspectives, covering such theoretical topics as linear factor models, autoencoders, representation learning, structured probabilistic models, Monte Carlo methods, the partition function, approximate inference, and deep generative models.Deep Learning can be used by undergraduate or graduate students planning careers in either industry or research, and by software engineers who want to begin using deep learning in their products or platforms. A website offers supplementary material for both readers and instructors.

Human Compatible: Artificial Intelligence and the Problem of Control


Stuart Russell - 2019
    Conflict between humans and machines is seen as inevitable and its outcome all too predictable.In this groundbreaking book, distinguished AI researcher Stuart Russell argues that this scenario can be avoided, but only if we rethink AI from the ground up. Russell begins by exploring the idea of intelligence in humans and in machines. He describes the near-term benefits we can expect, from intelligent personal assistants to vastly accelerated scientific research, and outlines the AI breakthroughs that still have to happen before we reach superhuman AI. He also spells out the ways humans are already finding to misuse AI, from lethal autonomous weapons to viral sabotage.If the predicted breakthroughs occur and superhuman AI emerges, we will have created entities far more powerful than ourselves. How can we ensure they never, ever, have power over us? Russell suggests that we can rebuild AI on a new foundation, according to which machines are designed to be inherently uncertain about the human preferences they are required to satisfy. Such machines would be humble, altruistic, and committed to pursue our objectives, not theirs. This new foundation would allow us to create machines that are provably deferential and provably beneficial.In a 2014 editorial co-authored with Stephen Hawking, Russell wrote, "Success in creating AI would be the biggest event in human history. Unfortunately, it might also be the last." Solving the problem of control over AI is not just possible; it is the key that unlocks a future of unlimited promise.

Chaos: A Very Short Introduction


Leonard A. Smith - 2007
    Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market. Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction.

Spurious Correlations


Tyler Vigen - 2015
    is the most fun you'll ever have with graphs." -- Bustle Military intelligence analyst and Harvard Law student Tyler Vigen illustrates the golden rule that "correlation does not equal causation" through hilarious graphs inspired by his viral website.Is there a correlation between Nic Cage films and swimming pool accidents? What about beef consumption and people getting struck by lightning? Absolutely not. But that hasn't stopped millions of people from going to tylervigen.com and asking, "Wait, what?" Vigen has designed software that scours enormous data sets to find unlikely statistical correlations. He began pulling the funniest ones for his website and has since gained millions of views, hundreds of thousands of likes, and tons of media coverage. Subversive and clever, Spurious Correlations is geek humor at its finest, nailing our obsession with data and conspiracy theory.