Crease tells the stories behind ten of the greatest equations in human history. Was Nobel laureate Richard Feynman really joking when he called Maxwell's electromagnetic equations the most significant event of the nineteenth century? How did Newton's law of gravitation influence young revolutionaries? Why has Euler's formula been called "God's equation," and why did a mysterious ecoterrorist make it his calling card? What role do betrayal, insanity, and suicide play in the second law of thermodynamics?The Great Equations tells the stories of how these equations were discovered, revealing the personal struggles of their ingenious originators. From "1 + 1 = 2" to Heisenberg's uncertainty principle, Crease locates these equations in the panoramic sweep of Western history, showing how they are as integral to their time and place of creation as are great works of art.

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    . . lifts the curtain to reveal the inner workings of international cricket. A must-read for any cricketer, coach or fan' Eoin Morgan'This path-breaking book should be compulsory reading for commentators and captains - and all cricket fans' Mervyn King'Clever and original but also wise' Ed SmithHow valuable is winning the toss? And how should captains use it to their advantage? Why does a cricket ball swing? Why don't Indians bat left-handed? What is a good length and why? Why are leg-spinners so successful in T20 cricket? Why did England win the World Cup? Why do all Test bowlers bowl at either 55 or 85mph? Why don't they pitch it up?All cricketers long to know the answer to these questions and many more. Only fifteen years ago it would have been difficult to answer them - cricket was guided only by decades-old tradition and received wisdom. Data has changed everything. Today we can track every ball to within millimetres; its release point, speed and bounce point are measured as are how much the ball swings, how much it deviates off the pitch, the exact height and line that it passes the stumps, and multiple other variables. Hitting Against the Spin is the story of that data, and what it can tell us about how cricket really works. Leading cricket thinkers Nathan Leamon and Ben Jones lift the lid on international cricket and explain its hidden workings and dynamics - the forces that shape cricket and, in turn, the cricketers who play it. They analyse the unseen hands that determine which players succeed and which fail, which tactics work and which don't, which teams win and which lose. They also explore the new world of franchise cricket as well as the rapid evolution of the T20 format. Revolutionary in its insights, Hitting Against the Spin takes you on a fascinating whistle-stop tour of modern cricket and sports analytics, bringing cricket firmly into the twenty-first century by revealing its long-kept secrets. This is the most important cricket book in decades.

    We need a brand new way to take it all in. 'Information is Beautiful' transforms the ideas surrounding and swamping us into graphs and maps that anyone can follow at a single glance.

    Yet you'd have to fly every day for the next 26,000 years to assure yourself of dying in a crash. A leisurely canoe ride is more than 100 times deadlier. Think city streets are unsafe? You're more likely to come to harm in your own home, where every year you stand a 1 in 650 chance of being injured by your bed, mattress, or pillows—and each year 800 Americans die in accidents involving soft furnishings.We live in a world governed by fear, where packets of peanuts "may contain nuts" and children must be ever on the alert to "stranger danger." And yet, life expectancy has never been higher. Crime rates have plunged. Even unintentional injuries are down. So if we're so safe, why are we so afraid?How to Live Dangerously is a hilarious, straight-talking look at the things that terrify us. It considers life's real risks, not to mention the often ridiculous methods we've contrived to keep ourselves "safe." It encourages you to ignore fearmongers and embrace a new kind of freedom, in which we all worry a little less—and live a whole lot more.

    WHO WAS THOMAS PAINE?Thomas Paine is known as one of the Fathers of the American Revolution. His landmark work, ‘Common Sense’, is known as the major inspiration for the ‘Declaration of Independence’, and his ‘Crisis’ pamphlet series was a favourite of George Washington to read out loud to inspire his troops at Valley Forge.Paine’s work is passionate, radical, yet accessible; covering his strong beliefs in Independence, Personal Liberty, Politics, Religion and Government. Hugely successful and inspiring strong polarisation in their times, they are still must-reads today, still highly debated and revered.THE 'MUST-HAVE' COMPLETE COLLECTIONIn this irresistible collection you get a full set of this amazing work.YOU GET:*COMMON SENSE - the famous work that inspired the American colonists with a demand and call for freedom from British rule. Also notable, that when adjusted for the population size of 1776, ‘Common Sense’ has the largest sales and circulation of any book in American history.*THE AMERICAN CRISIS - a series of pamphlets published from 1776 to 1783 written to motivate the Troops during the revolution, to spur them to victory. The language is powerful and emotional, and reflects Paine's liberal philosophies. The first lines are the famous: “These are times that try men’s souls.”*THE RIGHTS OF MAN (PART I and PART II) – a radical set of books that argues that political revolution is required when a government does not safeguard its people.*THE AGE OF REASON (PART I and PART II) - a deistic work, about institutionalized religion, and Paine’s strong views concerning it.*LETTERS and MISCELLANEOUS WRITINGS – A FULL SET of Paine’s must-read letters and assorted short works from Paine, Including his famous ‘LETTER TO GEORGE WASHINGTON’ and his last work ‘AGRAGIAN JUSTICE’YOUR FREE BONUSESIn addition, you get Free Special Bonuses:*THOMAS PAINE, BIOGRAPHY – A fascinating 10 page biography, detailing Paine’s unbelievable, often sad, and often controversial life. *Works presented as far as possible in original publication date order so you can follow Paine’s growth as a writer and philosopher*Easy TABLE OF CONTENTS so you can easily jump to any book, chapter or letter in the collection.YOUR NEW WINDOW INTO THOMAS PAINEImagine the wonder of having this fantastic, enviable collection, that rivals many libraries, right at your fingertips. Imagine the pleasure of discovering more about Paine’s one of a kind works.DON’T MISS OUT!As you read this, you understand why you want this edition, because it is the best, most complete Thomas Paine collection you can get. You want the most complete collection so don’t deny yourself! And don't accept other collections that are lacking. And available on the Kindle, this big collection is yours for next to nothing.

    There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    What if everything in life could be reduced to a simple formula? What if numbers were able to tell us which partners we were best matched with – not just in terms of attractiveness, but for a long-term committed marriage? Or if they could say which films would be the biggest hits at the box office, and what changes could be made to those films to make them even more successful? Or even who out of us is likely to commit certain crimes, and when? This may sound like the world of science-fiction, but in fact it is just the tip of the iceberg in a world that is increasingly ruled by complex algorithms and neural networks.In The Formula, Luke Dormehl takes you inside the world of numbers, asking how we came to believe in the all-conquering power of algorithms; introducing the mathematicians, artificial intelligence experts and Silicon Valley entrepreneurs who are shaping this brave new world, and ultimately asking how we survive in an era where numbers can sometimes seem to create as many problems as they solve.

    In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.

    But in our zeal to instill the evaluation process with scientific rigor, we've gone from measuring performance to fixating on measuring itself. The result is a tyranny of metrics that threatens the quality of our lives and most important institutions. In this timely and powerful book, Jerry Muller uncovers the damage our obsession with metrics is causing--and shows how we can begin to fix the problem.Filled with examples from education, medicine, business and finance, government, the police and military, and philanthropy and foreign aid, this brief and accessible book explains why the seemingly irresistible pressure to quantify performance distorts and distracts, whether by encouraging "gaming the stats" or "teaching to the test." That's because what can and does get measured is not always worth measuring, may not be what we really want to know, and may draw effort away from the things we care about. Along the way, we learn why paying for measured performance doesn't work, why surgical scorecards may increase deaths, and much more. But metrics can be good when used as a complement to--rather than a replacement for--judgment based on personal experience, and Muller also gives examples of when metrics have been beneficial.Complete with a checklist of when and how to use metrics, The Tyranny of Metrics is an essential corrective to a rarely questioned trend that increasingly affects us all.

    Can a computer think? Why is your consciousness like Bitcoin? Will there be an artificial intelligence apocalypse?

    With this book, the author adds to the debate revolving around the 'anthropic principle' by developing the 'world principle.' The author offers the reader an original critique of materialist philosophy, ancient Greek philosophy, and in particular of Kant and Hawking, making this book highly informative and thought-provoking. The reader not only finds answers to questions about the meaning of our existence, but also gains new insights into science, philosophy and theology.