Journey through Genius: The Great Theorems of Mathematics


William Dunham - 1990
    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

Data Science from Scratch: First Principles with Python


Joel Grus - 2015
    In this book, you’ll learn how many of the most fundamental data science tools and algorithms work by implementing them from scratch. If you have an aptitude for mathematics and some programming skills, author Joel Grus will help you get comfortable with the math and statistics at the core of data science, and with hacking skills you need to get started as a data scientist. Today’s messy glut of data holds answers to questions no one’s even thought to ask. This book provides you with the know-how to dig those answers out. Get a crash course in Python Learn the basics of linear algebra, statistics, and probability—and understand how and when they're used in data science Collect, explore, clean, munge, and manipulate data Dive into the fundamentals of machine learning Implement models such as k-nearest Neighbors, Naive Bayes, linear and logistic regression, decision trees, neural networks, and clustering Explore recommender systems, natural language processing, network analysis, MapReduce, and databases

E=mc²: A Biography of the World's Most Famous Equation


David Bodanis - 2000
    Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee

Choose Possibility: Take Risks and Thrive (Even When You Fail)


Sukhinder Singh Cassidy - 2021
    This fresh, new approach comes from one of the most highly regarded and well-respected female tech executives in Silicon Valley, who made many wrong choices in her career, but learned how to turn those down moments into successes. Life is made up of a series of choices. What do you do if one of those choices turns out poorly, especially if it was carefully considered? How do you trust your instinctive decision-making skills and make the next right choice? How do you continue to take risks when, suddenly, your risks are not working out?   Sukhinder Singh Cassidy is one of the most highly regarded and well-respected female tech executives in Silicon Valley, but she’ll be the first to admit that her path to success has been far from linear. She started three companies that have done exceedingly well, including theBoardlist (an organization designed to promote and place women onto corporate boards), and she just served as president of StubHub, which sold earlier this year for $4 billion.   But she’s also encountered plenty of poor choices, misfires, unexpected headwinds, and all other types of pitfalls that she had to learn how to confront, analyze, navigate, and incorporate into her new path forward. From her own experience, she knows that personal success does not come from making one singular “correct” or “big” decision. Rather, long-range success comes from tackling numerous choices that are aimed to optimize future possibilities.   Singh Cassidy’s “seven myths of success,” as well as her advice on how to make FOMO into your friend, multiply your “bets” in life, and understand why you shouldn’t be blinded by “passion bias,” all provide an entirely new way to approach risk-taking and achieve lasting success.

Thinking in Bets: Making Smarter Decisions When You Don't Have All the Facts


Annie Duke - 2018
    The pass was intercepted and the Seahawks lost. Critics called it the dumbest play in history. But was the call really that bad? Or did Carroll actually make a great move that was ruined by bad luck?Even the best decision doesn't yield the best outcome every time. There's always an element of luck that you can't control, and there is always information that is hidden from view. So the key to long-term success (and avoiding worrying yourself to death) is to think in bets: How sure am I? What are the possible ways things could turn out? What decision has the highest odds of success? Did I land in the unlucky 10% on the strategy that works 90% of the time? Or is my success attributable to dumb luck rather than great decision making?Annie Duke, a former World Series of Poker champion turned business consultant, draws on examples from business, sports, politics, and (of course) poker to share tools anyone can use to embrace uncertainty and make better decisions. For most people, it's difficult to say "I'm not sure" in a world that values and, even, rewards the appearance of certainty. But professional poker players are comfortable with the fact that great decisions don't always lead to great outcomes and bad decisions don't always lead to bad outcomes.By shifting your thinking from a need for certainty to a goal of accurately assessing what you know and what you don't, you'll be less vulnerable to reactive emotions, knee-jerk biases, and destructive habits in your decision making. You'll become more confident, calm, compassionate and successful in the long run.

Superintelligence: Paths, Dangers, Strategies


Nick Bostrom - 2014
    The human brain has some capabilities that the brains of other animals lack. It is to these distinctive capabilities that our species owes its dominant position. If machine brains surpassed human brains in general intelligence, then this new superintelligence could become extremely powerful--possibly beyond our control. As the fate of the gorillas now depends more on humans than on the species itself, so would the fate of humankind depend on the actions of the machine superintelligence.But we have one advantage: we get to make the first move. Will it be possible to construct a seed Artificial Intelligence, to engineer initial conditions so as to make an intelligence explosion survivable? How could one achieve a controlled detonation?

Artificial Intelligence: A Guide for Thinking Humans


Melanie Mitchell - 2019
    The award-winning author Melanie Mitchell, a leading computer scientist, now reveals AI’s turbulent history and the recent spate of apparent successes, grand hopes, and emerging fears surrounding it.In Artificial Intelligence, Mitchell turns to the most urgent questions concerning AI today: How intelligent—really—are the best AI programs? How do they work? What can they actually do, and when do they fail? How humanlike do we expect them to become, and how soon do we need to worry about them surpassing us? Along the way, she introduces the dominant models of modern AI and machine learning, describing cutting-edge AI programs, their human inventors, and the historical lines of thought underpinning recent achievements. She meets with fellow experts such as Douglas Hofstadter, the cognitive scientist and Pulitzer Prize–winning author of the modern classic Gödel, Escher, Bach, who explains why he is “terrified” about the future of AI. She explores the profound disconnect between the hype and the actual achievements in AI, providing a clear sense of what the field has accomplished and how much further it has to go.Interweaving stories about the science of AI and the people behind it, Artificial Intelligence brims with clear-sighted, captivating, and accessible accounts of the most interesting and provocative modern work in the field, flavored with Mitchell’s humor and personal observations. This frank, lively book is an indispensable guide to understanding today’s AI, its quest for “human-level” intelligence, and its impact on the future for us all.

Rock, Paper, Scissors: Game Theory in Everyday Life


Len Fisher - 2000
    Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.

Trust Me, I'm Lying: Confessions of a Media Manipulator


Ryan Holiday - 2012
    A malicious online rumor costs a company millions. A political sideshow derails the national news cycle and destroys a candidate. Some product or celebrity zooms from total obscurity to viral sensation. What you don't know is that someone is responsible for all this. Usually, someone like me.I'm a media manipulator. In a world where blogs control and distort the news, my job is to control blogs--as much as any one person can. In today's culture... 1) Blogs like "Gawker," "Buzzfeed" and the "Huffington Post" drive the media agenda. 2) Bloggers are slaves to money, technology, and deadlines. 3) Manipulators wield these levers to shape everything you read, see and watch--online and off.Why am I giving away these secrets? Because I'm tired of a world where blogs take indirect bribes, marketers help write the news, reckless journalists spread lies, and no one is accountable for any of it. I'm pulling back the curtain because I don't want anyone else to get blindsided. I'm going to explain exactly how the media "really" works. What you choose to do with this information is up to you.

Peak: Secrets from the New Science of Expertise


K. Anders Ericsson - 2016
    Rest assured that the book is not mere theory. Ericsson's research focuses on the real world, and he explains in detail, with examples, how all of us can apply the principles of great performance in our work or in any other part of our lives."-- Fortune Anders Ericsson has made a career studying chess champions, violin virtuosos, star athletes, and memory mavens. Peak distills three decades of myth-shattering research into a powerful learning strategy that is fundamentally different from the way people traditionally think about acquiring new abilities. Whether you want to stand out at work, improve your athletic or musical performance, or help your child achieve academic goals, Ericsson's revolutionary methods will show you how to improve at almost any skill that matters to you."The science of excellence can be divided into two eras: before Ericsson and after Ericsson. His groundbreaking work, captured in this brilliantly useful book, provides us with a blueprint for achieving the most important and life-changing work possible: to become a little bit better each day."--Dan Coyle, author of The Talent Code "Ericsson's research has revolutionized how we think about human achievement. If everyone would take the lessons of this book to heart, it could truly change the world."--Joshua Foer, author of Moonwalking with Einstein

Mastery


Robert Greene - 2012
    By analyzing the lives of such past masters as Charles Darwin, Benjamin Franklin, Albert Einstein, and Leonard da Vinci, as well as by interviewing nine contemporary masters, including tech guru Paul Graham and animal rights advocate Temple Grandin, Greene debunks our culture’s many myths about genius and distills the wisdom of the ages to reveal the secret to greatness. With this seminal text as a guide, readers will learn how to unlock the passion within and become masters.

The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us


Noson S. Yanofsky - 2013
    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

Stealing Fire: How Silicon Valley, the Navy SEALs, and Maverick Scientists Are Revolutionizing the Way We Live and Work


Steven Kotler - 2017
    Over the past decade, Silicon Valley executives like Eric Schmidt and Elon Musk, Special Operators like the Navy SEALs and the Green Berets, and maverick scientists like Sasha Shulgin and Amy Cuddy have turned everything we thought we knew about high performance upside down. Instead of grit, better habits, or 10,000 hours, these trailblazers have found a surprising short cut. They're harnessing rare and controversial states of consciousness to solve critical challenges and outperform the competition.New York Times bestselling author Steven Kotler and high performance expert Jamie Wheal spent four years investigating the leading edges of this revolution—from the home of SEAL Team Six to the Googleplex, the Burning Man festival, Richard Branson’s Necker Island, Red Bull’s training center, Nike’s innovation team, and the United Nations’ Headquarters. And what they learned was stunning: In their own ways, with differing languages, techniques, and applications, every one of these groups has been quietly seeking the same thing: the boost in information and inspiration that altered states provide.Today, this revolution is spreading to the mainstream, fueling a trillion dollar underground economy and forcing us to rethink how we can all lead richer, more productive, more satisfying lives. Driven by four accelerating forces—psychology, neurobiology, technology and pharmacology—we are gaining access to and insights about some of the most contested and misunderstood terrain in history. Stealing Fire is a provocative examination of what’s actually possible; a guidebook for anyone who wants to radically upgrade their life.

The Upstarts: How Uber, Airbnb, and the Killer Companies of the New Silicon Valley Are Changing the World


Brad Stone - 2017
    Uber and Airbnb are household names: redefining neighbourhoods, challenging the way governments regulate business and changing the way we travel.In the spirit of iconic Silicon Valley renegades like Steve Jobs and Bill Gates, a new generation of entrepreneurs is sparking yet another cultural upheaval through technology. They are among the Upstarts, idiosyncratic founders with limitless drive and an abundance of self-confidence. Young, hungry and brilliant, they are rewriting the traditional rules of business, changing our day-to-day lives and often sidestepping serious ethical and legal obstacles in the process.The Upstarts is the definitive account of a dawning age of tenacity, creativity, conflict and wealth. In Brad Stone’s highly anticipated and riveting account of the most radical companies of the new Silicon Valley, we find out how it all started, and how the world is wildly different than it was ten years ago.

Men of Mathematics


Eric Temple Bell - 1937
    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.