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.

    Soon Gen Xers will be the only cohort of Americans who remember life as it was lived before the arrival of the Internet. They are, as Hennessey dubs them, “the last adult generation,” the sole remaining link to a time when childhood was still a bit dangerous but produced adults who were naturally resilient. More than a decade into the social media revolution, the American public is waking up to the idea that the tech sector’s intentions might not be as pure as advertised. The mountains of money being made off our browsing habits and purchase histories are used to fund ever-more extravagant and utopian projects that, by their very natures, will corrode the foundations of free society, leaving us all helpless and digitally enslaved to an elite crew of ultra-sophisticated tech geniuses. But it’s not too late to turn the tide. There’s still time for Gen X to write its own future. A spirited defense of free speech, eye contact, and the virtues of patience, Zero Hour for Gen X is a cultural history of the last 35 years, an analysis of the current social and historical moment, and a generational call to arms.

    

    Written By Two Of Today'S Most Respected Computer Science Educators, Nell Dale And John Lewis, The Text Provides A Broad Overview Of The Many Aspects Of The Discipline From A Generic View Point. Separate Program Language Chapters Are Available As Bundle Items For Those Instructors Who Would Like To Explore A Particular Programming Language With Their Students. The Many Layers Of Computing Are Thoroughly Explained Beginning With The Information Layer, Working Through The Hardware, Programming, Operating Systems, Application, And Communication Layers, And Ending With A Discussion On The Limitations Of Computing. Perfect For Introductory Computing And Computer Science Courses, Computer Science Illuminated, Third Edition's Thorough Presentation Of Computing Systems Provides Computer Science Majors With A Solid Foundation For Further Study, And Offers Non-Majors A Comprehensive And Complete Introduction To Computing.

    In this lively book of essays, Stephen Wolfram takes the reader along on some of his most surprising and engaging intellectual adventures in science, technology, artificial intelligence and language design.

    

    It's a game that's deceptively simple, yet within its easy framework you'll find truth and trickery, boredom and fear, skill and misfortune—in other words, all the things that make life fun and worth living! Texas Hold'em For Dummies introduces you to the fundamental concepts and strategies of this wildly popular game. It covers the rules for playing and betting, odds, etiquette, Hold'em lingo, and offers sound advice to avoid mistakes. This handy reference guide gives new and even seasoned players winning strategies and tactics not just for playing the game, but for winning. You'll learn: —Rules and strategies for limit, no-limit, tournament, and online play—How to play the other players—The importance of your bankroll—recommended sizes and more—Hands you should and should not play—How to camouflage your play and dodge traps—When, who, and how to bluff—How to maximize your win with check-raising and trapping—The different approaches for playing in private games, casinos, card rooms, tournaments, and on the Internet—How to use mathematics to your advantageTexas Hold 'Em is a game of both skill and chance. But it's a game that can be beaten, and whether you want to make money, sharpen your game, or just have a good time, Texas Hold 'Em for Dummies will give you the winning edge.

    Kai-Fu Lee—one of the world’s most respected experts on AI and China—reveals that China has suddenly caught up to the US at an astonishingly rapid and unexpected pace.In AI Superpowers, Kai-Fu Lee argues powerfully that because of these unprecedented developments in AI, dramatic changes will be happening much sooner than many of us expected. Indeed, as the US-Sino AI competition begins to heat up, Lee urges the US and China to both accept and to embrace the great responsibilities that come with significant technological power.Most experts already say that AI will have a devastating impact on blue-collar jobs. But Lee predicts that Chinese and American AI will have a strong impact on white-collar jobs as well. Is universal basic income the solution? In Lee’s opinion, probably not.  But he provides a clear description of which jobs will be affected and how soon, which jobs can be enhanced with AI, and most importantly, how we can provide solutions to some of the most profound changes in human history that are coming soon.

    The main ideas and applications of the metallurgy are provided in this book.

    

    

    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.

    Applying his clear vision and wry wit to a smorgasbord of running-related topics, including stretching, dancing, bugs, falling, spaghetti, sweat, and the food police, John Jerome shares his contagious passion for the most basic of sports. Stripping the art of running down to its barest elements, he takes readers and runners with him on a joyous journey -- a run that revels in a profound affection and respect for the single sport that is as pure and simple as it is infinitely complex.

    

    The book also provides a balanced presentation of time-varying and static fields, preparingstudents for employment in today's industrial and manufacturing sectors. Streamlined to facilitate student understanding, this edition features worked examples in every chapter that explain how to use the theory presented in the text to solve different kinds of problems. Numerical methods, including MATLAB and vector analysis, are also included to help students analyzesituations that they are likely to encounter in industry practice. Elements of Electromagnetics, Fifth Edition, is designed for introductory undergraduate courses in electromagnetics.