Each volume of four 30-minute histories will dig into the petty name-calling and grumbling grudges that led to many of the world’s greatest advancements, all delivered with a cheeky sense of humor.Choose sides: Cope or Marsh, the jerks who discovered so many dinosaurs; Hamilton or Burr, whose rivalry fueled American politics; Queen Elizabeth or Mary Queen of Scots, who fought to rule England; Adidas or Puma, whose rivalry changed the world of sports and fashion.Kidnappings, rock fights, duels, and explosions, Rivals! shows world leaders at their absolute best and their worst, often at the same time.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    In THE CRASH OF 2016, Thom Hartmann argues that the facade of our once-great United States will soon disintegrate to reveal the rotting core where corporate and billionaire power and greed have replaced democratic infrastructure and governance. Our once-enlightened political and economic systems have been manipulated to ensure the success of only a fraction of the population at the expense of the rest of us. The result is a "for the rich, by the rich" scheme leading to policies that only benefit the highest bidders. Hartmann outlines the destructive forces-planted by Lewis Powell in 1971 and come to fruition with the "Reagan Revolution"-that have looted our nation over the past decade, and how their actions fit into a cycle of American history that lets such forces rise to power every four generations. However, a backlash is now palpable against the "economic royalists"-a term coined by FDR to describe those hoarding power and wealth-including the banksters, oligarchs, and politicians who have plunged our nation into economic chaos and social instability. Although we are in the midst of what could become the most catastrophic economic crash in American History, a way forward is emerging, just as it did in the previous great crashes of the 1760s, 1856, and 1929. The choices we make now will redefine American culture. Before us stands a genuine opportunity to embrace the moral motive over the profit motive-and to rebuild the American economic model that once yielded great success. Thoroughly researched and passionately argued, THE CRASH OF 2016 is not just a roadmap to redemption in post-Crash America, but a critical wake-up call, challenging us to act. Only if the right reforms are enacted and the moral choices are made, can we avert disaster and make our nation whole again.

    He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of FiveThirtyEight.com. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data. Most predictions fail, often at great cost to society, because most of us have a poor understanding of probability and uncertainty. Both experts and laypeople mistake more confident predictions for more accurate ones. But overconfidence is often the reason for failure. If our appreciation of uncertainty improves, our predictions can get better too. This is the "prediction paradox": The more humility we have about our ability to make predictions, the more successful we can be in planning for the future.In keeping with his own aim to seek truth from data, Silver visits the most successful forecasters in a range of areas, from hurricanes to baseball, from the poker table to the stock market, from Capitol Hill to the NBA. He explains and evaluates how these forecasters think and what bonds they share. What lies behind their success? Are they good-or just lucky? What patterns have they unraveled? And are their forecasts really right? He explores unanticipated commonalities and exposes unexpected juxtapositions. And sometimes, it is not so much how good a prediction is in an absolute sense that matters but how good it is relative to the competition. In other cases, prediction is still a very rudimentary-and dangerous-science.Silver observes that the most accurate forecasters tend to have a superior command of probability, and they tend to be both humble and hardworking. They distinguish the predictable from the unpredictable, and they notice a thousand little details that lead them closer to the truth. Because of their appreciation of probability, they can distinguish the signal from the noise.

    Few write for the non-specialist as well as Will Durant, and this book is a splendid example of his eminently readable scholarship. Durant’s insight and wit never cease to dazzle; The Story of Philosophy is a key book for anyone who wishes to survey the history and development of philosophical ideas in the Western world.

    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

    How did this unimaginable transformation take place? How was a ravaged and backward country, swept up in a desperately unpopular war, rocked by not one but two revolutions?This is the story of the extraordinary months between those upheavals, in February and October, of the forces and individuals who made 1917 so epochal a year, of their intrigues, negotiations, conflicts and catastrophes. From familiar names like Lenin and Trotsky to their opponents Kornilov and Kerensky; from the byzantine squabbles of urban activists to the remotest villages of a sprawling empire; from the revolutionary railroad Sublime to the ciphers and static of coup by telegram; from grand sweep to forgotten detail.Historians have debated the revolution for a hundred years, its portents and possibilities: the mass of literature can be daunting. But here is a book for those new to the events, told not only in their historical import but in all their passion and drama and strangeness. Because as well as a political event of profound and ongoing consequence, Miéville reveals the Russian Revolution as a breathtaking story.From the Hardcover edition.

     These images of victory and celebration are so strong in our minds that the period of anarchy and civil war that followed has been forgotten.  Across Europe, landscapes had been ravaged, entire cities razed and more than thirty million people had been killed in the war. The institutions that we now take for granted - such as the police, the media, transport, local and national government - were either entirely absent or hopelessly compromised. Crime rates were soaring, economies collapsing, and the European population was hovering on the brink of starvation.  In Savage Continent, Keith Lowe describes a continent still racked by violence, where large sections of the population had yet to accept that the war was over.  Individuals, communities and sometimes whole nations sought vengeance for the wrongs that had been done to them during the war. Germans and collaborators everywhere were rounded up, tormented and summarily executed.  Concentration camps were reopened and filled with new victims who were tortured and starved.  Violent anti-Semitism was reborn, sparking murders and new pogroms across Europe.  Massacres were an integral part of the chaos and in some places – particularly Greece, Yugoslavia and Poland, as well as parts of Italy and France – they led to brutal civil wars. In some of the greatest acts of ethnic cleansing the world has ever seen, tens of millions were expelled from their ancestral homelands, often with the implicit blessing of the Allied authorities.Savage Continent is the story of post WWII Europe, in all its ugly detail, from the end of the war right up until the establishment of an uneasy stability across Europe towards the end of the 1940s.  Based principally on primary sources from a dozen countries, Savage Continent is a frightening and thrilling chronicle of a world gone mad, the standard history of post WWII Europe for years to come.

    Yet in The Science of Interstellar, Kip Thorne, the physicist who assisted Nolan on the scientific aspects of Interstellar, shows us that the movie’s jaw-dropping events and stunning, never-before-attempted visuals are grounded in real science. Thorne shares his experiences working as the science adviser on the film and then moves on to the science itself. In chapters on wormholes, black holes, interstellar travel, and much more, Thorne’s scientific insights—many of them triggered during the actual scripting and shooting of Interstellar—describe the physical laws that govern our universe and the truly astounding phenomena that those laws make possible.Interstellar and all related characters and elements are trademarks of and © Warner Bros. Entertainment Inc. (s14).

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    And he's ringing the changes. In a contest of change, which century from the past millennium would come up trumps? Imagine the Black Death took on the female vote in a pub brawl, or the Industrial Revolution faced the internet in a medieval joust - whose side would you be on? In this hugely entertaining book, celebrated historian Ian Mortimer takes us on a whirlwind tour of Western history, pitting one century against another in his quest to measure change. We journey from a time when there was a fair chance of your village being burnt to the ground by invaders, and dried human dung was a recommended cure for cancer, to a world in which explorers sailed into the unknown and civilisations came into conflict with each other on an epic scale. Here is a story of godly scientists, shrewd farmers, cold-hearted entrepreneurs and strong-minded women - a story of discovery, invention, revolution and cataclysmic shifts in perspective. Bursting with ideas and underscored by a wry sense of humour, this is a journey into the past like no other. Our understanding of change will never be the same again - and the lessons we learn along the way are profound ones for us all.

    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.

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.