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.

    In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.

    What happens to them is beyond your most terrifying nightmares.You’re History: The discovery of a human skull panics a killer into a confession. Perhaps he should have waited for the coroner’s report.Cold-Blooded: Karen was the former wife of an American icon. But celebrity is no shield against a determined psychopath.The Janitor: When a preteen girl goes missing from a school, suspicion falls on the one person all of the female students are wary of – the creepy janitor.A Bullet for Your Broken Heart: Roy Joe had been dealt many tribulations in his life. None of them, though, was as bad as Carolyn.The Other Ripper: For years, Joan was thought to be a victim of Britain’s most notorious slayer. Her killer turned out to be a different psychopath entirely.Young Blood: Two teenagers meet up for a moonlight tryst in an abandoned building. One of them won’t make it out alive.Neighborhood Monster: It was a simple errand, a quick run to the store in a safe neighborhood. It should not have cost a little girl her life.Plus 10 more horrific true murder cases. Scroll up to grab a copy of Cold Cases: Solved Volume 1.

    While these are essential, many young ecologists need to figure out how to actually do research themselves. How to Do Ecology provides nuts-and-bolts advice on how to develop a successful thesis and research program. This book presents different approaches to posing testable ecological questions. In particular, it covers the uses, strengths, and limitations of manipulative experiments in ecology. It will help young ecologists consider meaningful treatments, controls, replication, independence, and randomization in experiments, as well as where to do experiments and how to organize a season of work. This book also presents strategies for analyzing natural patterns, the value of alternative hypotheses, and what to do with negative results.Science is only part of being a successful ecologist. This engagingly written book offers students advice on working with other people and navigating their way through the land mines of research. Findings that don't get communicated are of little value. How to Do Ecology suggests effective ways to communicate information in the form of journal articles, oral presentations, and posters. Finally, it outlines strategies for developing successful grant and research proposals. Numerous checklists, figures, and boxes throughout the book summarize and reinforce the main points. In short, this book makes explicit many of the unspoken assumptions behind doing good research in ecology, and provides an invaluable resource for meaningful conversations among ecologists.

    And no delay causes more parental anxiety than late talking, which is associated in many parents' minds with such serious conditions as autism and severe intellectual disability. In fact, as children's speech expert Stephen Camarata points out in this enlightening book, children are late in beginning to talk for a wide variety of reasons. For some children, late talking may be a symptom of other, more serious, problems; for many others, however, it may simply be a stage with no long-term complications.Camarata describes in accessible language what science knows about the characteristics and causes of late talking. He explains that late talking is only one of a constellation of autism symptoms. Although all autistic children are late talkers, not all late-talking children are autistic.Camarata draws on more than twenty-five years of professional experience diagnosing and treating late talkers--and on his personal experience of being a late talker himself and having a late-talking son. He provides information that will help parents navigate the maze of doctors, speech therapists, early childhood services, and special education; and he describes the effect that late talking may have on children's post-talking learning styles.

    Book by Waring, Chris

    Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.

    Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

    Jay Withgott and new co-author Matt Laposata present the latest coverage of environmental science and introduce new FAQ sections to address common student misconceptions. Note: This is the standalone book if you want the book/access card order the ISBN below: 0321752546 / 9780321752543 Essential Environment: The Science behind the Stories Plus MasteringEnvironmentalScience with eText -- Access Card Package Package consists of: 0321752902 / 9780321752901 Essential Environment: The Science behind the Stories 0321754077 / 9780321754073 MasteringEnvironmentalScience with Pearson eText -- Valuepack Access Card -- Essential Environment: The Science behind the Stories (ME component) "

    I’m young and I want to move on. Am I a bad person?• Why does my boyfriend always adjust himself in public?• My wife dresses like a slut. How do I make her stop?• My boyfriend’s number one friend on MySpace is his ex. Should I be concerned?With he-said, she-said advice that is both raw and honest, What Do We Do Now? is sure to appeal to the podcast’s legion of fans, and attract a brand-new audience tired of the tried-and-not-so-true relationship manuals.

    

    Keys residents boarded up their shacks under an ominous sky and sank their skiffs in the mangroves. Atlantic tarpon raced between the Keys to the relative safety of the Gulf of Mexico. In Key West, Ernest Hemingway secured his stone house and his 38-foot boat Pilar against the oncoming storm. And yet, through the long Labor Day Weekend of 1935, the superintendents of three government work camps in the Florida Keys, which housed more than 600 World War I veterans building a highway across the islands, did virtually nothing to evacuate the men in their charge.In Hemingway's Hurricane, author Phil Scott chronicles the days of calamity when the low-lying Upper Florida Keys were stripped bare and submerged by the most powerful hurricane ever to hit the United States. From eyewitness accounts and depositions, he reconstructs the events in each camp as the hurricane made landfall—the terror, bravery, and sacrifices of men left to fend for themselves. He also explores why the train promised from Miami arrived too late to evacuate the men, and why those who tried to escape in their own vehicles were turned back by the National Guard. And he reveals Hemingway's horror when the novelist arrived in his boat two days after the storm to aid the veterans, only to discover that more than 250 had died in the storm, some sand-blasted by fierce winds, others skewered by flying timbers, and many simply blown out to sea.Ernest Hemingway's very public outrage over so many needless deaths spurred a congressional investigation that was widely dismissed as a whitewash. It was also a key factor in landing Hemingway on an FBI watch list, which contributed to his suicide twenty-six years later. In Hemingway's Hurricane, the Depression, bureaucratic failure, the cast-aside soldiers of an earlier war, a great novelist, and a killing storm come together in an American tragedy.The Final BlowThey were the forgotten members of the Lost Generation, traumatized veterans of the Great War who had struggled for years to claw their way back into the American Dream. Described by one journalist as "shell-shocked, Depression-shocked, and whiskey-shocked," they grasped for one last chance at redemption under Franklin Roosevelt's New Deal. Six hundred of them were shuffled off to the Florida Keys to build a highway to Key West. On Labor Day Weekend 1935, the most intense hurricane ever to strike the U.S. took aim on their flimsy shacks, and the two men responsible for evacuating the veterans from harm's way waited too long.After the storm, Ernest Hemingway took his boat from his home in Key West to aid the veterans in the Upper Keys. But he found few survivors among the wreckage and bloated corpses, and his public cries of outrage bound him forever to the storm."Hemingway's Hurricane brilliantly and compellingly captures the events surrounding the 1935 storm, showing how human factors compounded the awful force of sky and sea."

    Through the allegory of Alice's adventures and encounters, Gilmore makes the essential features of the quantum world clear and accessible. It is a thrilling introduction to some essential, often difficult-to-grasp concepts about the world we inhabit.

    Unlike any other Plain community in the world, this village is a virtual melting pot of Amish and Mennonites from around the world, intermingled with people, like author Sherry Gore's family, who live there year-round. Gore has put together a cookbook that represents the people who make Pinecraft unique. With hundreds of easy-to-prepare recipes, 16 full-color photographs and black-and-white photographs throughout, this cookbook includes traditional favorites such as Sweet Potato Sweet Mash and Mrs. Byler's Glazed Donuts, as well as Florida favorites including Fried Alligator Nuggets, Grilled Lime Fish Fillets, and Strawberry Mango Smoothies. Interspersed with the recipes are true-life stories about births, engagements, weddings, deaths, funerals, celebrations, wildlife encounters, and accidents told through years of Sherry's Letters from Home column published in The Budget, the Amish newspaper. This delightful cookbook offers readers a faith-based, family-focused perspective of the simple way of life of the Plain People. It is truly a breath of fresh air from Sarasota, Florida!

    And their fans had ulcers. Now, veteran sports columnist Terry Pluto explains why everything kept going wrong. This detailed report on two decades of disappointment takes a behind-the-scenes look at upheaval in the front office, frustration on the field, and headaches and heartache in the stands. His earlier book False Start: How the New Browns Were Set Up to Fail told how the NFL hamstrung the new franchise. Who could have predicted the limping would last 19 years? This book picks up the story. Season after season began with hope in spring for the NFL draft (“the Browns’ version of the Super Bowl,” a fan called it) . . . often a new coach or GM or quarterback (or all three) . . . then the losses . . . and back to rebuilding. Pluto reviews all the major moves—draft choices and deals, hiring and firing and reshuffling—and the results. If you’re a Browns fan who wants to understand what went wrong with your team, this is the place to start. Includes heartfelt and humorous opinions contributed by fans.