This well-established two-book course is designed for class teaching and private study leading to GCSE examinations in mathematics and further Mathematics at A Level.

    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.

    But few know the palace intrigue behind their long-standing triangular relationship. Going behind the headlines, documentaries and mini-series, PRINCE ANDREW exposes for the first time the unknown details of the Epstein scandal behind secretive palace gates and how it impacted on the power struggle between Andrew and his older brother Prince Charles.Rife with machinations and plots, it paints a rare and riveting, insider picture of vice and rarified daily life at the royal court. It is an unbelievable story how a boy from Coney Island befriended the world's foremost royal family. PRINCE ANDREW casts a truly eye-watering light on one of the dirtiest stories of our time, giving the reader much-needed forensic insight into all the facts, allegations and counter-allegations.

    Fields Cookies... What backward messages on records are really trying to tell you... Frank Sinatra's real age... Why you can't counterfeit a lottery ticket... Barbra Streisand's blue movie... The other Boy Scout rituals... Ingmar Bergman's soap commercials... The formula for Play-Doh... and more.

    When they returned the next year, they were met with sticks and stones, stripped naked and sent home with red cheeks.Mark Horrell and his two friends Mark and Ian shared a dream to climb an 8,000m peak, but it seemed the gods were against them too. They had made no fewer than eight attempts without success (though they had managed to return with their clothes on).With towering ice walls, monsoon rainstorms, arm-twisting crevasses and – most dangerous of all – welcoming teahouses ready to entrap them, would it be different this time?

    In a crowded restaurant a small boy watches fearfully as his Jewish father is arrested by HitlerOCOs Gestapo. Days later, as Nazis burn and loot Jewish shops, his resourceful Catholic mother prepares an escape plan to take her family to England. So began Andreas Siegfried SachsOCO life in London, a new life at times no less bizarre or madcap than the world of Fawlty Towers and its hapless Spanish waiter, Manuel. Now, as one of BritainOCOs best-loved actors, Andrew Sachs recounts tales of his hilarious struggle to come to terms with all things English and his early foray into the world of showbiz, and goes behind the scenes of the infamous Torquay hotel. In time conquering stage, screen and radio, Sachs has appeared alongside a galaxy of stars including Rex Harrison, Norman Wisdom, No1/2l Coward, Alec Guinness, Richard Burton and Peter Sellers, and written award-winning radio plays, proving his talent and versatility again and again. A charming, laugh-out-loud funny and utterly compelling memoir which promises to delight devotees of Fawlty Towers, I Know Nothing! reveals the twists and turns of the truly fascinating life of Andrew Sachs, whose dignified response to the distressing intrusion into his private life by Russell Brand and Jonathan Ross has only served to enhance the British publicOCOs affection for him. "

    Discover the real reason why people around the world are adding network marketing to their lives. In this book you will learn: * Why network marketing is a natural thing for us to do. * How to present network marketing so that prospects "get it." * The real power behind our business. * Why jobs are nice, but risky ... and what we can do about it. * How to take a different view of the big picture. * Chances of failure and the absence of guarantees. * Understanding wealth ... and being broke. * The easiest way to spread your message. Short, compact, and to the point. A fast read, and a faster life-changer. Here is your chance to see what others see. Scroll up and get your copy now!

    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

    By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being replaced by a new generation of players who have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. This book provides an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory, in a manner that makes seemingly difficult topics accessible to players without a strong mathematical background.

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index

    “You’re none of those things. Don’t let them control your mind and your actions.” “But if I’m not any of those things, then what am I?” “You are the witness. If you change your perspective and see these emotions for what they are, you are not them; you are human consciousness witnessing what comes into focus. You can let them take over or you can control your mind and your will. You let external elements influence your actions, or you take control of your emotions and can make decisions that take you where you want to go in life. It’s a choice and only you can make it.” New Trader sat quietly. That was deep. Join New Trader in the next installment of his trading journey. He's come a long way, but he still has much to learn from his mentor, Rich Trader. Learn more about entries and exits, trend following essentials, and risk management and psychology. Praise for the first edition of New Trader Rich Trader 2: As in all of Steve’s books, I am consistently amazed at how, despite his obvious mastery of our business, he can recall with intimate detail what it was like to make the full gamut of “New Trader” mistakes. “New Trader, Rich Trader 2” will have New Traders reaching for their highlighters, while Rich Traders smile knowingly at distant memories of painful missteps. Wherever you are in the journey from New to Rich Trader, this book is an indispensable tool filled with lots of “Aha” moments.  To Steve, congratulations on a job well done, and to all the New Traders reading this, pat yourself on the back for having found an indispensable aid in your journey from novice to pro. Richard L. Weissman, Professional Trader and Author of Trade Like a Casino

    Each self-contained chapter consists of three sections. The first describes the statistic, including how it is used and what information it provides. The second section reviews how it works, how to calculate the formula, the strengths and weaknesses of the technique, and the conditions needed for its use. The final section provides examples that use and interpret the statistic. A glossary of terms and symbols is also included.New features in the second edition include:an interactive CD with PowerPoint presentations and problems for each chapter including an overview of the problem's solution; new chapters on basic research concepts including sampling, definitions of different types of variables, and basic research designs and one on nonparametric statistics; more graphs and more precise descriptions of each statistic; and a discussion of confidence intervals.This brief paperback is an ideal supplement for statistics, research methods, courses that use statistics, or as a reference tool to refresh one's memory about key concepts. The actual research examples are from psychology, education, and other social and behavioral sciences.Materials formerly available with this book on CD-ROM are now available for download from our website www.psypress.com. Go to the book's page and look for the 'Download' link in the right-hand column.

    and more in this book! SEX is kind of like pizza - even when it's bad, it's still pretty good. But what if you could make it so that each pizza you had was like it was created in the heart of rustic Italy? That's what this book does for sex. The knowledge here will take your sexual encounters - be it with your wife, girlfriend, or just a random hookup - to the next level, and make it so that she can't help but beg for more, time after time. What will you learn from a certified sex coach? * How females conceptualize sex differently from men - and how you can take advantage of it. * The best ways to stay harder and last longer for her. * The seven best positions for her pleasure - and yours. * Giving (and receiving) multiple orgasms. * How to get her to come around to anal pleasures. * An introduction to kink, fantasies, and sex toys - the more the merrier! * How to have her screaming your name and begging for more, every time. Intrigued yet? Wouldn't it be nice to become "that guy" that women talk about? To know that you have just given her an experience she will never forget, and never feel insecure about your performance again? All that with the best orgasms you've ever had, and the longest, most intense sessions... and send her into spasms? Read this book to decode the female body and be the beast in bed that you know she wants. Stay harder, last longer, satisfy her... and come as hard as you ever have in your life. All within your reach! Don’t hesitate to pick up your copy today by clicking the BUY NOW button at the top of this page!

    Weatherman was a fringe group most of whose ideas were rejected by the dominant culture. But unfortunately their views on race were not. In succeeding decades the idea of "white skin privilege" became the new default position for racial crusaders and race hustlers alike who believed that white skin privilege was alive and well in our society -- not because white Americans were actively racist, but because they enjoyed the invisible privileges and prerogatives that go along with their skin color. In this searing pamphlet on the racial realities of contemporary America, David Horowitz and John Perazzo show that in fact the most insidious bias in our culture today is black skin privilege. Black skin privilege means the press will fail to report an epidemic of race riots targeting whites for beatings, shooting and other violence in major American cities over the last several years. Black skin privilege means that whites -- as in the case of the Duke lacrosse players -- will be presumed guilty of racial crimes when they are clearly innocent and then never accorded an apology by those who have stigmatized them. Black skin privilege has created an optical illusion in the liberal culture that white on black attacks are commonplace events when in fact there are five times as many black attacks on whites as the reverse. (As Horowitz and Perazzo note, in 2010, blacks committed more than 25 times the number of acts of interracial violence than whites did.) Black skin privilege exists in the affirmative action programs of our system of higher education and in our culture, where a black racist like Al Sharpton could be regarded by the national media as a civil rights leader and then hired as a TV anchor by NBC. This pamphlet gives the statistics and hard numbers the mainstream media conceal. It also probes the double standards and double talk that has come to dominate the way America talks when it talks about race.

    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.