More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    Backed by investors such as Larry Ellison and Tim Draper, Theranos sold shares in a fundraising round that valued the company at $9 billion, putting Holmes's worth at an estimated $4.7 billion. There was just one problem: The technology didn't work.For years, Holmes had been misleading investors, FDA officials, and her own employees. When Carreyrou, working at The Wall Street Journal, got a tip from a former Theranos employee and started asking questions, both Carreyrou and the Journal were threatened with lawsuits. Undaunted, the newspaper ran the first of dozens of Theranos articles in late 2015. By early 2017, the company's value was zero and Holmes faced potential legal action from the government and her investors. Here is the riveting story of the biggest corporate fraud since Enron, a disturbing cautionary tale set amid the bold promises and gold-rush frenzy of Silicon Valley.

    As a result, East Asian thought is “holistic”—drawn to the perceptual field as a whole and to relations among objects and events within that field. By contrast, Westerners focus on salient objects or people, use attributes to assign them to categories, and apply rules of formal logic to understand their behavior. From feng shui to metaphysics, from comparative linguistics to economic history, a gulf separates the children of Aristotle from the descendants of Confucius. At a moment in history when the need for cross-cultural understanding and collaboration have never been more important, The Geography of Thought offers both a map to that gulf and a blueprint for a bridge that will span it.

    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.

    Based on her work at the Santa Fe Institute and drawing on its interdisciplinary strategies, Mitchell brings clarity to the workings of complexity across a broad range of biological, technological, and social phenomena, seeking out the general principles or laws that apply to all of them. Richly illustrated, Complexity: A Guided Tour--winner of the 2010 Phi Beta Kappa Book Award in Science--offers a wide-ranging overview of the ideas underlying complex systems science, the current research at the forefront of this field, and the prospects for its contribution to solving some of the most important scientific questions of our time.

     Now Roy Sorensen offers the first narrative history of paradoxes, a fascinating and eye-opening account that extends from the ancient Greeks, through the Middle Ages, the Enlightenment, and into the twentieth century. When Augustine asked what God was doing before He made the world, he wastold: Preparing hell for people who ask questions like that. A Brief History of the Paradox takes a close look at questions like that and the philosophers who have asked them, beginning with the folk riddles that inspired Anaximander to erect the first metaphysical system and ending with suchthinkers as Lewis Carroll, Ludwig Wittgenstein, and W.V. Quine. Organized chronologically, the book is divided into twenty-four chapters, each of which pairs a philosopher with a major paradox, allowing for extended consideration and putting a human face on the strategies that have been taken towardthese puzzles. Readers get to follow the minds of Zeno, Socrates, Aquinas, Ockham, Pascal, Kant, Hegel, and many other major philosophers deep inside the tangles of paradox, looking for, and sometimes finding, a way out. Filled with illuminating anecdotes and vividly written, A Brief History of the Paradox will appeal to anyone who finds trying to answer unanswerable questions a paradoxically pleasant endeavor.

    "An intellectually dazzling view of our past and future."--Time magazineContents1. How humans have repeatedly lost hope, and how new encounters, and a new pair of spectacles, revive them2. How men and women have slowly learned to have interesting conversations3. How people searching for their roots are only beginning to look far and deep enough4. How some people have acquired an immunity to loneliness5. How new forms of love have been invented6. Why there has been more progress in cooking than in sex7. How the desire that men feel for women, and for other men, has altered through the centuries8. How respect has become more desirable than power9. How those who want neither to give orders nor to receive them can become intermediaries10. How people have freed themselves from fear by finding new fears11. How curiosity has become the key to freedom12. Why it has become increasingly difficult to destroy one’s enemies13. How the art of escaping from one’s troubles has developed, but not the art of knowing where to escape to14. Why compassion has flowered even in stony ground15. Why toleration has never been enough16. Why even the privileged are often somewhat gloomy about life, even when they can have anything the consumer society offers, and even after sexual liberation17. How travellers are becoming the largest nation in the world, and how they have learned not to see only what they are looking for18. Why friendship between men and women has been so fragile19. How even astrologers resist their destiny20. Why people have not been able to find the time to lead several lives21. Why fathers and their children are changing their minds about what they want from each other22. Why the crisis in the family is only one stage in the evolution of generosity23. How people choose a way of life, and how it does not wholly satisfy them24. How humans become hospitable to each other25. What becomes possible when soul-mates meet

    Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow.Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.

    Thaler has spent his career studying the radical notion that the central agents in the economy are humans—predictable, error-prone individuals. Misbehaving is his arresting, frequently hilarious account of the struggle to bring an academic discipline back down to earth—and change the way we think about economics, ourselves, and our world.Traditional economics assumes rational actors. Early in his research, Thaler realized these Spock-like automatons were nothing like real people. Whether buying a clock radio, selling basketball tickets, or applying for a mortgage, we all succumb to biases and make decisions that deviate from the standards of rationality assumed by economists. In other words, we misbehave. More importantly, our misbehavior has serious consequences. Dismissed at first by economists as an amusing sideshow, the study of human miscalculations and their effects on markets now drives efforts to make better decisions in our lives, our businesses, and our governments.Coupling recent discoveries in human psychology with a practical understanding of incentives and market behavior, Thaler enlightens readers about how to make smarter decisions in an increasingly mystifying world. He reveals how behavioral economic analysis opens up new ways to look at everything from household finance to assigning faculty offices in a new building, to TV game shows, the NFL draft, and businesses like Uber.Laced with antic stories of Thaler’s spirited battles with the bastions of traditional economic thinking, Misbehaving is a singular look into profound human foibles. When economics meets psychology, the implications for individuals, managers, and policy makers are both profound and entertaining.

    Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim-The Jazz of Physics reveals that the ancient poetic idea of the Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.

    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    In his Introduction John Gray describes these essays as applications of Mill's doctrine of the Art of Life, as set out in A System of Logic. Using the resources of recent scholarship, he shows Mill's work to be far richer and subtler than traditional interpretations allow.

    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.

    Two books bound as one.

    Many new exercises introduced in this edition help supplement and support explanations, aid in review, and make the book visually stimulating. This edition also includes a revised Logic tutorial on CD-Rom--further simplifying the study of logic. Includes many fascinating illustrations taken from the history of science as well as from contemporary research in the physical and biological sciences, plus introduces an abundance of new exercises throughout, complete with solutions for the first exercise in a set. Appropriate for those in business, education, political, or psychology careers.