Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic--for example, emotion--is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

    Economists Ivan and Tuvana Pastine explain why, in these situations, we sometimes cooperate, sometimes clash, and sometimes act in a way that seems completely random.Stylishly brought to life by award-winning cartoonist Tom Humberstone, Game Theory will help readers understand behaviour in everything from our social lives to business, global politics to evolutionary biology. It provides a thrilling new perspective on the world we live in.

    Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and numbers aren't as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means -- by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms. Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they're stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber's thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America's favorite mathematician.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    It was the dawn of a new era in artificial intelligence: a machine capable of beating the reigning human champion at this most cerebral game. That moment was more than a century in the making, and in this breakthrough book, Kasparov reveals his astonishing side of the story for the first time. He describes how it felt to strategize against an implacable, untiring opponent with the whole world watching, and recounts the history of machine intelligence through the microcosm of chess, considered by generations of scientific pioneers to be a key to unlocking the secrets of human and machine cognition. Kasparov uses his unrivaled experience to look into the future of intelligent machines and sees it bright with possibility. As many critics decry artificial intelligence as a menace, particularly to human jobs, Kasparov shows how humanity can rise to new heights with the help of our most extraordinary creations, rather than fear them. Deep Thinking is a tightly argued case for technological progress, from the man who stood at its precipice with his own career at stake.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    In this, the fourth edition, Jonathan Baron retains the comprehensive attention to the key questions addressed in the previous editions - How should we think? What, if anything, keeps us from thinking that way? How can we improve our thinking and decision making? - and his expanded treatment of topics such as risk, utilitarianism, Baye's theorem, and moral thinking. With the student in mind, the fourth edition emphasizes the development of an understanding of the fundamental concepts in judgment and decision making. This book is essential reading for students and scholars in judgment and decision making and related fields, including psychology, economics, law, medicine, and business.

    The four principles that can help us to overcome our brains' natural biases to make better, more informed decisions -- in our lives, careers, families and organizations.In Decisive, Chip Heath and Dan Heath, the bestselling authors of Made to Stick and Switch, tackle the thorny problem of how to overcome our natural biases and irrational thinking to make better decisions, about our work, lives, companies and careers.    When it comes to decision making, our brains are flawed instruments.  But given that we are biologically hard-wired to act foolishly and behave irrationally at times, how can we do better?  A number of recent bestsellers have identified how irrational our decision making can be.  But being aware of a bias doesn't correct it, just as knowing that you are nearsighted doesn't help you to see better.  In Decisive, the Heath brothers, drawing on extensive studies, stories and research, offer specific, practical tools that can help us to think more clearly about our options, and get out of our heads, to improve our decision making, at work and at home.

    Christensen gave a powerful speech to the Harvard Business School's graduating class. Drawing upon his business research, he offered a series of guidelines for finding meaning and happiness in life. He used examples from his own experiences to explain how high achievers can all too often fall into traps that lead to unhappiness.The speech was memorable not only because it was deeply revealing but also because it came at a time of intense personal reflection: Christensen had just overcome the same type of cancer that had taken his father's life. As Christensen struggled with the disease, the question "How do you measure your life?" became more urgent and poignant, and he began to share his insights more widely with family, friends, and students.In this groundbreaking book, Christensen puts forth a series of questions: How can I be sure that I'll find satisfaction in my career? How can I be sure that my personal relationships become enduring sources of happiness? How can I avoid compromising my integrity—and stay out of jail? Using lessons from some of the world's greatest businesses, he provides incredible insights into these challenging questions.How Will You Measure Your Life? is full of inspiration and wisdom, and will help students, midcareer professionals, and parents alike forge their own paths to fulfillment.

    Although the 80/20 principle has long influenced today's business world, author Richard Koch reveals how the principle works and shows how we can use it in a systematic and practical way to vastly increase our effectiveness, and improve our careers and our companies.The unspoken corollary to the 80/20 principle is that little of what we spend our time on actually counts. But by concentrating on those things that do, we can unlock the enormous potential of the magic 20 percent, and transform our effectiveness in our jobs, our careers, our businesses, and our lives.

    Then, in Bold, they chronicled the use of exponential technologies that allowed the emergence of powerful new entrepreneurs. Now the bestselling authors are back with The Future Is Faster Than You Think, a blueprint for how our world will change in response to the next ten years of rapid technological disruption. Technology is accelerating far more quickly than anyone could have imagined. During the next decade, we will experience more upheaval and create more wealth than we have in the past hundred years. In this gripping and insightful roadmap to our near future, Diamandis and Kotler investigate how wave after wave of exponentially accelerating technologies will impact both our daily lives and society as a whole. What happens as AI, robotics, virtual reality, digital biology, and sensors crash into 3D printing, blockchain, and global gigabit networks? How will these convergences transform today’s legacy industries? What will happen to the way we raise our kids, govern our nations, and care for our planet? Diamandis, a space-entrepreneur-turned-innovation-pioneer, and Kotler, bestselling author and peak performance expert, probe the science of technological convergence and how it will reinvent every part of our lives—transportation, retail, advertising, education, health, entertainment, food, and finance—taking humanity into uncharted territories and reimagining the world as we know it. As indispensable as it is gripping, The Future Is Faster Than You Think provides a prescient look at our impending future.

    They start from a single assertion: Leaders do whatever keeps them in power. They don’t care about the “national interest”—or even their subjects—unless they have to. This clever and accessible book shows that the difference between tyrants and democrats is just a convenient fiction. Governments do not differ in kind but only in the number of essential supporters, or backs that need scratching. The size of this group determines almost everything about politics: what leaders can get away with, and the quality of life or misery under them. The picture the authors paint is not pretty. But it just may be the truth, which is a good starting point for anyone seeking to improve human governance.

    Used in university courses and professional seminars all over the world, the text has proven its ability to open minds and sharpen thinking.Originally published in 1975 and reprinted more than twenty times over a quarter century -- and now available for the first time from Dorset House Publishing -- the text uses clear writing and basic algebraic principles to explore new approaches to projects, products, organizations, and virtually any kind of system.Scientists, engineers, organization leaders, managers, doctors, students, and thinkers of all disciplines can use this book to dispel the mental fog that clouds problem-solving. As author Gerald M. Weinberg writes in the new preface to the Silver Anniversary Edition, "I haven’t changed my conviction that most people don’t think nearly as well as they could had they been taught some principles of thinking.”Now an award-winning author of nearly forty books spanning the entire software development life cycle, Weinberg had already acquired extensive experience as a programmer, manager, university professor, and consultant when this book was originally published.With helpful illustrations, numerous end-of-chapter exercises, and an appendix on a mathematical notation used in problem-solving, An Introduction to General Systems Thinking may be your most powerful tool in working with problems, systems, and solutions.