This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original category theorem (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.

     They were preparing to compete in a poker tournament with million-dollar stakes, but those numbers meant nothing to them.  They were accustomed to risking billions.     At the card table that night was Peter Muller, an eccentric, whip-smart whiz kid who’d studied theoretical mathematics at Princeton and now managed a fabulously successful hedge fund called PDT…when he wasn’t playing his keyboard for morning commuters on the New York subway.  With him was Ken Griffin, who as an undergraduate trading convertible bonds out of his Harvard dorm room had outsmarted the Wall Street pros and made money in one of the worst bear markets of all time.  Now he was the tough-as-nails head of Citadel Investment Group, one of the most powerful money machines on earth. There too were Cliff Asness, the sharp-tongued, mercurial founder of the hedge fund AQR, a man as famous for his computer-smashing rages as for his brilliance, and Boaz Weinstein, chess life-master and king of the credit default swap, who while juggling $30 billion worth of positions for Deutsche Bank found time for frequent visits to Las Vegas with the famed MIT card-counting team.     On that night in 2006, these four men and their cohorts were the new kings of Wall Street.  Muller, Griffin, Asness, and Weinstein were among the best and brightest of a  new breed, the quants.  Over the prior twenty years, this species of math whiz --technocrats who make billions not with gut calls or fundamental analysis but with formulas and high-speed computers-- had usurped the testosterone-fueled, kill-or-be-killed risk-takers who’d long been the alpha males the world’s largest casino.  The quants believed that a dizzying, indecipherable-to-mere-mortals cocktail of differential calculus, quantum physics, and advanced geometry held the key to reaping riches from the financial markets.  And they helped create a digitized money-trading machine that could shift billions around the globe with the click of a mouse.     Few realized that night, though, that in creating this unprecedented machine, men like Muller, Griffin, Asness and Weinstein had sowed the seeds for history’s greatest financial disaster.     Drawing on unprecedented access to these four number-crunching titans, The Quants tells the inside story of what they thought and felt in the days and weeks when they helplessly watched much of their net worth vaporize – and wondered just how their mind-bending formulas and genius-level IQ’s had led them so wrong, so fast.  Had their years of success been dumb luck, fool’s gold, a good run that could come to an end on any given day?  What if The Truth they sought -- the secret of the markets -- wasn’t knowable? Worse, what if there wasn’t any Truth?   In The Quants, Scott Patterson tells the story not just of these men, but of Jim Simons, the reclusive founder of the most successful hedge fund in history; Aaron Brown, the quant who used his math skills to humiliate Wall Street’s old guard at their trademark game of Liar’s Poker, and years later found himself with a front-row seat to the rapid emergence of mortgage-backed securities; and gadflies and dissenters such as Paul Wilmott, Nassim Taleb, and Benoit Mandelbrot.     With the immediacy of today’s NASDAQ close and the timeless power of a Greek tragedy, The Quants is at once a masterpiece of explanatory journalism, a gripping tale of ambition and hubris…and an ominous warning about Wall Street’s future.

    Daniel Goleman's brilliant report from the frontiers of psychology and neuroscience offers startling new insight into our "two minds"—the rational and the emotional—and how they together shape our destiny.Through vivid examples, Goleman delineates the five crucial skills of emotional intelligence, and shows how they determine our success in relationships, work, and even our physical well-being. What emerges is an entirely new way to talk about being smart. The best news is that "emotional literacy" is not fixed early in life. Every parent, every teacher, every business leader, and everyone interested in a more civil society, has a stake in this compelling vision of human possibility.From the Trade Paperback edition.

    

    Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader.

    In How to Create a Mind, Kurzweil presents a provocative exploration of the most important project in human-machine civilization—reverse engineering the brain to understand precisely how it works and using that knowledge to create even more intelligent machines.Kurzweil discusses how the brain functions, how the mind emerges from the brain, and the implications of vastly increasing the powers of our intelligence in addressing the world’s problems. He thoughtfully examines emotional and moral intelligence and the origins of consciousness and envisions the radical possibilities of our merging with the intelligent technology we are creating.Certain to be one of the most widely discussed and debated science books of the year, How to Create a Mind is sure to take its place alongside Kurzweil’s previous classics which include Fantastic Voyage: Live Long Enough to Live Forever and The Age of Spiritual Machines.

    Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.

    A new book that explores the science of productivity, and why, in today’s world, managing how you think—rather than what you think—can transform your life.

    Landing on his left foot, he takes a step with his right, swivels, and in one fluid motion, without the ball touching the ground, volleys it past the onrushing Argentine goalkeeper into the far corner of the net. The goal wins Germany the World Cup for the first time in almost twenty-five years. In the aftermath, Götze looks dazed, unable to comprehend what he has done.In Das Reboot, journalist and television pundit Raphael Honigstein charts the return of German football from the international wilderness of the late 1990s to Götze’s moment of genius and asks how did this come about? How did German football transform itself from its efficient, but unappealing and defensively minded traditions to the free-flowing, attacking football that was on display in 2014? The answer takes him from California to Stuttgart, from Munich to the Maracaná, via Dortmund and Durban. Packed with exclusive interviews with the key protagonists, Honigstein’s book lifts the lid on the secrets of German football’s success.

    Their choices are limited by mountains, rivers, seas, and concrete. To understand world events, news organizations and other authorities often focus on people, ideas, and political movements, but without geography, we never have the full picture. Now, in the relevant and timely Prisoners of Geography, seasoned journalist Tim Marshall examines Russia, China, the USA, Latin America, the Middle East, Africa, Europe, Japan and Korea, and Greenland and the Arctic—their weather, seas, mountains, rivers, deserts, and borders—to provide a context often missing from our political reportage: how the physical characteristics of these countries affect their strengths and vulnerabilities and the decisions made by their leaders.In ten, up-to-date maps of each region, Marshall explains in clear and engaging prose the complex geo-political strategies of these key parts of the globe. What does it mean that Russia must have a navy, but also has frozen ports six months a year? How does this affect Putin’s treatment of Ukraine? How is China’s future constrained by its geography? Why will Europe never be united? Why will America never be invaded? Shining a light on the unavoidable physical realities that shape all of our aspirations and endeavors, Prisoners of Geography is the critical guide to one of the major (and most often overlooked) determining factors in world history.

    He takes them to Chapel Street, where the club’s business is determined, and to America, where it is owned. He takes them into Anfield, where many of the most important moments are defined, and he takes them on to the pitches of the Premier League and the Champions League, as we revisit how Liverpool stormed their way to the top of the Premier League this season.

    Psych 101 cuts out the boring details and statistics, and instead, gives you a lesson in psychology that keeps you engaged - and your synapses firing.From personality quizzes and the Rorschach Blot Test to B.F. Skinner and the stages of development, this primer for human behavior is packed with hundreds of entertaining psychology basics and quizzes you can't get anywhere else.So whether you're looking to unravel the intricacies of the mind, or just want to find out what makes your friends tick, Psych 101 has all the answers - even the ones you didn't know you were looking for.

    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.

    And now he's showing the way to build the very foundation of well-being: Resilience. Today, people feel rattled by political and economic forces, and realize that they need to be able to rely on their own inner guidance systems in order to stay happy and calm. Not simply about weathering negative experiences, Resilient's groundbreaking program shows you how to harness the power of positive experiences in order to build an unshakeable core.In this succinct guide to lasting happiness, Dr. Hanson has distilled 40 years of clinical work and teaching into the tools that actually work. Each of these 12 tools grows a key inner strength for resilience, allowing you to enter a positive cycle in which resilience creates a sense of well-being, which creates even more resilience, and so on. Developed from his incredibly popular online course called The Foundations of Well-Being, this essential book offers everything you need to shore up these powerful inner strengths. In his inimitable friendly, warm, straightforward tone, Dr. Hanson shares stories, support, and simple thoughts and actions that lead to deeply rooted change. Here is the groundwork that will allow you to meet life with a whole heart.

    With honesty, poignancy, and romantic flair, Atticus distills the most exhilarating highs and the heartbreaking lows of life and love into a few perfectly evocative lines, ensuring that his words will become etched in your mind—and will awaken your sense of adventure.