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.

    Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility.In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem—first posited in 1630, and finally solved by Andrew Wiles in 1995—led to the creation of algebraic number theory and complex analysis. The Poincaré conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the “Holy Grail of pure mathematics,” and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years.An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors—and how the enigmas of the past inevitably surrender to the powerful techniques of the present.

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    And sometimes you just need a way to relieve the tension and avoid burnout, illness, or worse.A simple and inexpensive way to relieve stress is by coloring images, which can be soothing. Some even consider it an alternative to stressors, ultimately aiding in reversing the effects of anxiety. Refocusing your attention on something completely different to engage in a mental, physical, and emotional shift can help break the pattern of consistent stress and allow one to rejuvenate.Part of the international bestselling Color Me series, Color Me Stress-Free is a guided coloring book designed for harried adults. Art therapist Lacy Mucklow and artist Angela Porter offer up 100 coloring templates, all designed to help you unplug and unwind at the end of each day. Organized into seven therapeutically themed chapters, readers can explore the benefits of putting pencil (or crayon!) to paper and channel their day-to-day stresses into a satisfying, creative environment.Color Me Stress-Free is the perfect way step back from the stress of everyday life, color, and relax!Don't forget to try Color Me Happy and Color Me Calm!

    Contributors include Steven Weinberg, Peter Galison, John Maynard Smith, and Frank Wilczek.

    In simple rhymes, Tang explains the fundamentals of how each number from 1 to 10 works. His poem "Four Eyes," for example, explains how any number multiplied by four can be merely doubled twice: "Four is very fast to do, when you multiply by 2. Here's a little good advice -- please just always double twice!" He then goes on to explain: "What is 4x4? It's 4 doubled twice. Double once: 4+4=8. Double twice: 8+8=16," and he even provides extra challenge questions below. All of his poems and problems are just as easy (e.g., a number times 6 is tripled, then doubled; a number times 9 is multiplied by 10, then subtracted once), and the book is rounded out with full practice tables in the back.Tang provides children with an excellent lesson, helping them make sense of daunting math without a bombardment of complicated rules. Kids will cheer his winsome presentation, which is wonderfully complemented by Harry Brigg's computer illustrations of animals cavorting around and having fun. Both practical and pleasing, The Best of Times is math that'll help make homework and tests a breeze. Matt Warner

    A renowned scientist and the best-selling author of Lab Girl, Hope Jahren selects the year's top science and nature writing from writers who balance research with humanity and in the process uncover riveting stories of discovery across disciplines.The art of saving relics / Sarah Everts --Altered tastes / Maria Konnikova --The secrets of the wave pilots / Kim Tingley --The billion-year wave / Nicola Twilley --The case for leaving city rats alone / Becca Cudmore --The battle for Virunga / Robert Draper --The new harpoon / Tom Kizzia --A song of ice / Elizabeth Kolbert --Something uneasy in the Los Angeles air / Adrian Glick Kudler --Dark science / Omar Mouallem --The parks of tomorrow / Michelle Nijhuis --How factory farms play chicken with antibiotics / Tom Philpott --The invisible catastrophe / Nathaniel Rich --The devil is in the details / Christopher Solomon --The physics pioneer who walked away from it all / Sally Davies --The DIY scientist, the Olympian, and the mutated gene / David Epstein --Inside the breakthrough starshot mission to Alpha Centauri / Ann Finkbeiner --He fell in love with his good student --Then fired her for it / Azeen Ghorayshi --The woman who might find us another Earth / Chris Jones --Out here, no one can hear you scream / Katrhryn Joyce --The amateur cloud society that (sort of) rattled the scientific community / Jon Mooallem --The man who gave himself away / Michael Regnier --Unfriendly climate / Sonia Smith --It's time these ancient women scientists get their due / Emily Temple-Wood

    Written by two of the world’s foremost authorities on space history, Hubble: Imaging Space and Time illuminates the solar system’s workings, the expansion of the universe, the birth and death of stars, the formation of planetary nebulae, the dynamics of galaxies, and the mysterious force known as "dark energy." The potential impact of this book cannot be overstressed: The 2008 servicing mission to install new high-powered scientific instruments is especially high profile because the cancellation of the previous mission, in 2004, caused widespread controversy. The authors reveal the inside story of Hubble’s beginnings, its controversial early days, the drama of its first servicing missions, and the creation of the dynamic images that reach into the deepest regions of visible space, close to the time when the universe began. A wealth of astonishing images leads us to the very edge of known space, setting the stage for the new James Webb Space Telescope, scheduled to launch in 2013. Find the stunning panoramic of Carina Nebula, detailing star birth as never before; a jet from a black hole in one galaxy striking a neighboring galaxy; a jewel-like collection of galaxies from the early years of the universe; and a giant galaxy cannibalizing a smaller galaxy. Timed for the 2008 shuttle launch and coinciding with the 400th anniversary of Galileo’s first telescope, Hubble: Imaging Space and Time accompanies a high-profile exhibit at the National Air and Space Museum and will be featured on the popular NASM website.

    But when her perfect husband turns out to be a lying, cheating slimeball—and bad in bed to boot—Savannah kicks the jerk to the curb and embarks on life on her own terms. With a new apartment, a new career, and a brand new outlook on life, she’s all set to take the world by storm. If only the world would stop throwing her curveballs... KICKOUT CLAUSE - #7 When Shelby Ferguson, Savannah’s ex-husband’s new wife, begs Savannah’s help in figuring out what’s going on with Bradley, Savannah can’t in good conscience say no. Shelby has no one else to turn to, no one to whom she can admit that her marriage is on the rocks and that Bradley may be straying. But helping Shelby turns out to be just the tip of the iceberg. With two different sets of buyers vying to purchase Mrs. Jenkins’s house, and an escaped prisoner targeting Savannah, she has more than enough to deal with. And that’s before TBI rookie Manny Ortega is shot down in cold blood. With Savannah’s boyfriend Rafe Collier, and their friend, homicide detective Tamara Grimaldi, busy looking for Manny’s murderer, it’s up to Savannah to juggle buyers and adulterers and vandals and lawyers, and come out on top... without losing her Southern Belle poise or her life in the process. PAST DUE - #8 The sins of the past are coming due, and someone has to pay... Savannah Martin’s high school reunion is supposed to be a fun weekend of catching up with old friends and parading her boyfriend—Sweetwater bad boy Rafael Collier—in front of everyone who used to sneer at him back in the day. Not even the daily battle she’s waging with morning sickness can douse Savannah’s anticipation. But when Rafe won’t come to Sweetwater, Savannah has to face her old schoolmates without his support. And her best friend Charlotte isn’t as happy for Savannah’s new relationship as Savannah had hoped. And when a dead body turns up in the Colliers’ old mobile home in the Bog, Savannah is thankful to be on her own. The sheriff is always looking for a reason to shove Rafe back behind bars, and a fresh homicide is just the excuse he needs. But when another murder takes place at the reunion, even the threat of jail can’t keep Rafe away. Soon old classmates are dropping like bowling pins, and Rafe and Savannah are scrambling to catch up with a killer hell bent on making sure old enemies pay for old sins... all while trying to stay one step ahead of Sheriff Satterfield and the Columbia PD. DIRTY DEEDS - #9 With hotels in downtown filled to capacity months in advance, real estate agent Savannah Martin decides to pick up some extra money renting out her empty East Nashville apartment. She’s living with her boyfriend, and the place is just sitting there, begging to be put to use. But when her latest tenant ends up dead—strangled in Savannah’s bed by what might have been a paying customer—the promise of easy money quickly turns sour. As the hunt for the killer leads to their shared hometown of Sweetwater, Tennessee, Savannah’s boyfriend, TBI agent Rafe Collier, is tapped to help with the investigation.

    The Funniest Text Message Autocorrects, Wrong Numbers & Mishaps on Smartphones!

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    The nature of football continually changes, which means its analysis must also keep pace. This book is for students, thinkers, and theorists of the game.'Ted Hopkins - Carlton premiership player, author, and co-founder of Champion Data. Australian Rules football has been described as the most data-rich sport on Earth. Every time and everywhere an AFL side takes to the field, it is shadowed by an army of statisticians and number crunchers. The information they gather has become the sport's new language and currency. ABC journalist James Coventry, author of the acclaimed Time and Space, has joined forces with a group of razor-sharp analysts to decipher the data, and to use it to question some of football's long-held truisms. Do umpires really favour the home side? Has goal kicking accuracy deteriorated? Is Geelong the true master of the draft? Are blonds unfairly favoured in Brownlow medal voting? And are Victorians the most passionate fans? Through a blend of entertaining storytelling and expert analysis, this book will answer more questions about footy than you ever thought to ask. Praise for Time and Space:'Brilliant, masterful' - The Guardian'Arguably one of the most important books yet written on Australian Rules football.' - Inside History'Should find its way into the hands of every coach.' - AFL Record

    Asimov takes the reader on a rousing mental trip into the world of mathematics, physics, chemistry, biology, and astronomy.

    Captioned cartoon drawings offering an overview of universal order as they deal with various phenomena are combined with scientific commentary

    Such a device would operate under a different set of physical laws: The laws of quantum mechanics. Johnson gently leads the curious outsider through the surprisingly simple ideas needed to understand this dream, discussing the current state of the revolution, and ultimately assessing the awesome power these machines could have to change our world.