“An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

    I've been there and have struggled with suicidal thoughts and plans. I can share with you what I did to not only survive, but to tolerate depression, live with it, and function acceptably most of the time, interspersed with periods of contentment, happiness, and joy. My strategies may well work for you. My goal is to save lives. The primary motivation for presenting my history is to encourage others who grapple with either chronic depression or occasional bouts. I hope my journey resonates with some, validates feelings, and sparks the thoughts "I'm not alone" and "I will feel better." This book can also help family members and friends of the mentally ill, and their caregivers, find compassion and enable them to understand the struggle. Transcending Depression differs from many other books on the topic in that it is not grounded in clinical experience, scientific research, or empirical evidence, which may make it more approachable than some. It's not a how-to book, not a model for depressed people to follow, not a toolbox. On the contrary, it shows rather than tells the reader what he or she might do to feel better. Appendices include my Depression Survival Guide, which offers 36 suggestions to bring relief, and Chess in the Labyrinth, a metaphor that compares defeating depression to winning a chess game.

    We are bombarded with more information each day than our brains can process—especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports revealing the ways lying weasels can use them. It's becoming harder to separate the wheat from the digital chaff. How do we distinguish misinformation, pseudo-facts, distortions, and outright lies from reliable information? Levitin groups his field guide into two categories—statistical infomation and faulty arguments—ultimately showing how science is the bedrock of critical thinking. Infoliteracy means understanding that there are hierarchies of source quality and bias that variously distort our information feeds via every media channel, including social media. We may expect newspapers, bloggers, the government, and Wikipedia to be factually and logically correct, but they so often aren't. We need to think critically about the words and numbers we encounter if we want to be successful at work, at play, and in making the most of our lives. This means checking the plausibility and reasoning—not passively accepting information, repeating it, and making decisions based on it. Readers learn to avoid the extremes of passive gullibility and cynical rejection. Levitin's charming, entertaining, accessible guide can help anyone wake up to a whole lot of things that aren't so. And catch some lying weasels in their tracks!

    Hand argues that extraordinarily rare events are anything but. In fact, they’re commonplace. Not only that, we should all expect to experience a miracle roughly once every month.     But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of “miracle” is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough.     Together, these constitute Hand’s groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective.     An irresistible adventure into the laws behind “chance” moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it’s in the world of business and finance or you’re merely sitting in your backyard, tossing a ball into the air and wondering where it will land.

    Fast Tract Digestion Heartburn is the first book to define and address the real cause of acid reflux. Acid reflux occurs as a result of digestive malabsorption of five difficult-to-digest carbohydrates. It leads to the overgrowth of gas-producing bacteria in the small intestine and the gas pressure drives acid reflux. Dropping a Mentos into a bottle of Coke is the perfect illustration of this phenomenon. Unfortunately, PPI drugs do not address the real cause, but also cause serious side effects including vitamin and mineral malabsorption, bone fractures, pneumonia, low blood magnesium levels, bacterial overgrowth, C diff infection and pneumonia as explained in the book.Fast Tract Digestion Heartburn offers science-based food choices and recipes (Fast Tract Diet) to limit the five difficult-to-digest carbohydrates, so that you can feel relief within a few days Also, it enables you to self-manage all of the symptoms of acid reflux going forward. The Fast Tract Diet is based on a scientific formula called Fermentation Potential (FP). FP is the key measure regardless of the carbohydrate count. Limiting foods with high FP will help control the overgrowth of bacteria in the small intestine and, as a result, acid reflux. The Fast Tract Diet was clinically tested on reflux sufferers in the Boston area. The results were overwhelming and proved the effectiveness of the diet as an alternative to proton pump inhibitor drugs.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    True religion is the highest Way, the absolute Way: zazen."Here, Deshimaru, the author of True Zen, offers practical suggestions for developing unitary mind-body consciousness through the principles of zazen (translated literally as "seated meditation"). Advice is given on posture, breathing, and concentration, and concepts such as karma and satori are clearly explained.

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

    Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

    Descartes's Meditations on First Philosophy, the fundamental and originating work of the modern era in Western philosophy, is presented here in Donald Cress's completely revised edition of his well-established translation, bringing this version even closer to Descartes's original, while maintaining its clear and accessible style.

    Take a journey through the fascinating story of fractions, numbers, patterns, and shapes in order to better understand the complex world we live in.Continuing the "Big Ideas" series' trademark combination of authoritative, clear text and bold graphics to chart the development of maths through history, the book explores and explains some of the most complex and fascinating mathematical subjects. Delve into everything from the mathematical ideas and inventions of the ancient world such as the first number systems, magic squares, and the Chinese abacus, through to the developments in mathematics during medieval and Renaissance Europe, to the rise of group theory and cryptography more recently.This diverse and inclusive account of mathematics will have something for everybody: for those interested in the maths behind world economies, secret spies, modern technology and plenty more, taking readers around the world from Babylon to Bletchley Park. Tracing maths through the Scientific Revolution to its 21st-century use in computers, the internet, and AI, The Maths Book uses an innovative visual approach to make the subject accessible to everyone, casual readers and students alike.

    Holland dramatically shows us that the “emergence” of order from disorder has much to teach us about life, mind and organizations. Creative activities in both the arts and the sciences depend upon an ability to model the world. The most creative of those models exhibits emergent properties, so that “what comes out is more than what goes in.” From the ingenious checkers-playing computer that started beating its creator in game after game, to the emotive creations of the poet, Emergence shows that Holland’s theory successfully predicts many complex behaviors in art and science.

    If...we could ask and it could reply, it would give up to us the most intimate secrets of life. -from Chapter II Anticipating not only modern scientific theories of psychology but also those of cosmology, this astonishing book sets out a impressive goal for itself: to reconcile human biology with a theory of consciousness. First published in France in 1907, and translated into English in 1911, this work of wonder was esteemed at the time in scientific circles and in the popular culture alike for its profound explorations of perception and memory and its surprising conclusions about the nature and value of art. Contending that intuition is deeper than intellect and that the real consequence of evolution is a mental freedom to grow, to change, to seek and create novelty, Bergson reinvigorated the theory of evolution by refusing to see it as merely mechanistic. His expansion on Darwin remains one of the most original and important philosophical arguments for a scientific inquiry still under fire today. French philosopher HENRI BERGSON (1859-1941) was born in Paris. Among his works are Matter and Memory (1896), An Introduction to Metaphysics (1903), and The Two Sources of Morality and Religion (1932). He was awarded the Nobel Prize for Literature in 1927.

    Successfully defended in 1969 as Deleuze's main thesis toward his Doctorat d'Etat at the Sorbonne, the work has been central in initiating the shift in French thought away from Hegel and Marx, towards Nietzsche and Freud. The text follows the development of two central concepts, those of pure difference and complex repetition. It shows how the two concepts are related - difference implying divergence and decentering, and repetition implying displacement and disguising. In its explication the work moves deftly between Hegel, Kierkegaard, Freud, Althusser, and Nietzsche to establish a fundamental critique of Western metaphysics. Difference and Repetition has become essential to the work of literary critics and philosophers alike, and this translation his been long awaited.