It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

    In a breathtaking, minute-by-minute format, December 8, 1980: The Day John Lennon Died follows the events leading to the horrible moment when Mark David Chapman calmly fired his Charter Arms .38 Special into the rock icon, realizing his perverse fantasy of attaining perennial notoriety. New York Times bestselling author Keith Elliot Greenberg takes us back to New York City and the world John Lennon woke up to. The day begins with a Rolling Stone photo session that takes on an uncomfortable tone when photographer Annie Leibowitz tries to maneuver Yoko Ono out of the shot. Later Lennon gives the last interview of his life, declaring, "I consider that my work won't be finished until I'm dead and buried and I hope that's a long, long time." We follow the other Beatles, Lennon's family, the shooter, fans, and New York City officials through the day, and as the hours progress, the pace becomes more breathless. Once the fatal shots are fired, the clock continues to tick as Dr. Stephan Lynn walks from the emergency room after declaring the former Beatle dead, Howard Cosell announces the singer's passing on Monday Night Football, and Paul McCartney is lambasted for muttering "Drag, isn't it?" - his bereavement confused with indifference. The epilogue examines the aftermath of the killing: the considerable moment when 100,000 New Yorkers stood in silence in Central Park, the posthumous reunion of the Beatles in the studio with George, Paul, and Ringo accompanying the recordings of their old friend the unveiling of a bronze John Lennon statue in Fidel Castro's Cuba, and the durable legacy that persists today.

    Amazingly, the story unveiled in it is true.In the world of math, the Poincaré Conjecture was a holy grail. Decade after decade the theorem that informs how we understand the shape of the universe defied every effort to prove it. Now, after more than a century, an eccentric Russian recluse has found the solution to one of the seven greatest math problems of our time, earning the right to claim the first one-million-dollar Millennium math prize.George Szpiro begins his masterfully told story in 1904 when Frenchman Henri Poincaré formulated a conjecture about a seemingly simple problem. Imagine an ant crawling around on a large surface. How would it know whether the surface is a flat plane, a round sphere, or a bagel- shaped object? The ant would need to lift off into space to observe the object. How could you prove the shape was spherical without actually seeing it? Simply, this is what Poincaré sought to solve.In fact, Poincaré thought he had solved it back at the turn of the twentieth century, but soon realized his mistake. After four more years' work, he gave up. Across the generations from China to Texas, great minds stalked the solution in the wilds of higher dimensions. Among them was Grigory Perelman, a mysterious Russian who seems to have stepped out of a Dostoyevsky novel. Living in near poverty with his mother, he has refused all prizes and academic appointments, and rarely talks to anyone, including fellow mathematicians. It seemed he had lost the race in 2002, when the conjecture was widely but, again, falsely reported as solved. A year later, Perelman dropped three papers onto the Internet that not only proved the Poincaré Conjecture but enlightened the universe of higher dimensions, solving an array of even more mind-bending math with implications that will take an age to unravel. After years of review, his proof has just won him a Fields Medal--the 'Nobel of math'--awarded only once every four years. With no interest in fame, he refused to attend the ceremony, did not accept the medal, and stayed home to watch television.Perelman is a St. Petersburg hero, devoted to an ascetic life of the mind. The story of the enigma in the shape of space that he cracked is part history, part math, and a fascinating tale of the most abstract kind of creativity.

    This edition, which was prepared by Kip S. Thorne (Feynman Professor of Theoretical Physics at California Institute of Technology), fully incorporates all the errata and corrections gathered (but never used in a published edition) by Feynman.

    From her early years as a British debutante to her last days as the U.S. Ambassador to France, Harriman dealt with more powerful figures than nearly anyone else in the twentieth century, and in the process, she achieved her own fame in their reflected glory.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    

    Written in a concise, bulleted outline format, this well-illustrated text offers 500 USMLE-style review questions, answers, and explanations and features comprehensive content and upgraded USMLE Step 1 information.

    The complete book about the life of Academy Award nominee River Phoenix, from his parents beginning, his birth, member of a cult religion, to his TV acting, activism, veganism and movie career.

    He examines the power of the arguments embedded in these speeches to inspire people to achieve great things, or do great harm. Abbott draws upon his political expertise to explain how our current understanding of the world is rooted in pivotal moments of history. These moments are captured in the words of a range of influential speakers including: Emmeline Pankhurst, Martin Luther King, Jr, Enoch Powell, Napoleon Beazley, Kevin Rudd, Alexander Solzhenitsyn, Ronald Reagan, George W. Bush, Osama bin Laden, Margaret Beckett, Winston Churchill, Salvador Allende, Margaret Thatcher, Tony Blair, Tim Collins, Mohandas Gandhi, Dwight D. Eisenhower, Robin Cook and Barack Obama. The speeches in this book are arranged thematically, linked by concepts such as 'might is right', 'with us or against us' and 'give peace a chance'. Each transcript is accompanied by an insightful commentary that analyses how the words relate to our modern society. Fresh and relevant, this is a book that will make you stop in your tracks and think about what is really happening in the world today.

    In this lively and groundbreaking new book, economist Ian Ayres shows how today's best and brightest organizations are analyzing massive databases at lightening speed to provide greater insights into human behavior. They are the Super Crunchers. From internet sites like Google and Amazon that know your tastes better than you do, to a physician's diagnosis and your child's education, to boardrooms and government agencies, this new breed of decision makers are calling the shots. And they are delivering staggeringly accurate results. How can a football coach evaluate a player without ever seeing him play? Want to know whether the price of an airline ticket will go up or down before you buy? How can a formula outpredict wine experts in determining the best vintages? Super crunchers have the answers. In this brave new world of equation versus expertise, Ayres shows us the benefits and risks, who loses and who wins, and how super crunching can be used to help, not manipulate us.Gone are the days of solely relying on intuition to make decisions. No businessperson, consumer, or student who wants to stay ahead of the curve should make another keystroke without reading Super Crunchers.

    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.

    Steve Olson followed the six 2001 contestants from the intense tryouts to the Olympiad’s nail-biting final rounds to discover not only what drives these extraordinary kids but what makes them both unique and typical. In the process he provides fascinating insights into the science of intelligence and learning and, finally, the nature of genius. Brilliant, but defying all the math-nerd stereotypes, these teens want to excel in whatever piques their curiosity, and they are curious about almost everything — music, games, politics, sports, literature. One team member is ardent about both water polo and creative writing. Another plays four musical instruments. For fun and entertainment during breaks, the Olympians invent games of mind-boggling difficulty. Though driven by the glory of winning this ultimate math contest, they are in many ways not so different from other teenagers, finding pure joy in indulging their personal passions. Beyond the the Olympiad, Olson sheds light on many questions, from why Americans feel so queasy about math, to why so few girls compete in the subject, to whether or not talent is innate. Inside the cavernous gym where the competition takes place, Count Down uncovers a fascinating subculture and its engaging, driven inhabitants.

    Lee... Free BONUS Inside! Robert E. Lee was a hero to some and a villain to others. For one side, he embodied the rebellion of the slaveholding South which had seceded from the Union; for the other side, he was a champion of the little guy, willing to marshal the forces of liberty to stand up against the federal government. How in the world do we get such divergent views on one single man? It seems that such diversity of opinion is simply a symptom of the American experience, and at certain points in history, these sentiments become embodied on individual people. In many ways, Robert E. Lee was just an average man of his time that was foisted into a role that he never wanted nor asked for. This book presents an objective analysis of what Robert E. Lee’s life was really like. Avoiding the bramble bushes of historical bias, this book takes us through the long, winding, and treacherous path that was trodden by Confederate General Robert E. Lee. Discover a plethora of topics such as Growing up in Virginia Lee in the Mexican-American War The American Civil War: Choosing Sides Granny Lee and the Seven Days Battle From Gettysburg to the Trenches Last Years and Death And much more! So if you want a concise and informative book on Robert E. Lee, simply scroll up and click the "Buy now" button for instant access!

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.