Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

    Dozens of examples in innumeracy show us how it affects not only personal economics and travel plans, but explains mis-chosen mates, inappropriate drug-testing, and the allure of pseudo-science.

    Three stories. And a desperate race for survival in a country in the midst of war.Nick Scott fought in the SASduring the first Gulf War. Captured and tortured, he was left a broken man. His daughter Sarah Scott is a beautiful young scientist who has cracked one of the scientific secrets of the age. Now, she has vanished. Her lover Jed Bradley is one of the SAS's toughest young agents, dropped behind enemy lines in the build up to the Iraq War to find the truth about Saddam Hussein's weapons of mass destruction.Caught up in a global power play, Nick and Jed must fight their way through a war-ravaged Iraq as the regime of Saddam Hussein collapses around them. It is a desperate race to find the woman they both love. And to unlock the secret of the Ultimate Weapon.

    Now it's her turn. Eldritch and forgotten arcana wait within its vaults. Twisted accidents of magic prowl its halls. Sinister forces lure the unsuspecting deeper into death or madness. Its victims don't remember how they got there. No one remembers how to get out...

    An extreme landscape in both its beauty and challenges, the state is nicknamed "The Last Frontier" with good reason: Here is a paradoxical landscape where boundaries—between community and isolation, bounty and deprivation, conservation and exploitation—are constantly in flux.But the state has also always been a place for reinvention, a refuge as much for those desperate to escape something as for those on a quest for something else. In Tide, Feather, Snow, Miranda Weiss, a young woman who grew up landlocked in well-kept East Coast suburbs, moves with her boyfriend to Homer, Alaska, where the days are quartered by the most extreme tides in the country, where the years are marked by seasons of fish, and where locals carry around the knowledge of fish, tides, boats, and weather as ballast. At first, she struggles to make a place for herself in this unfamiliar country. But ultimately, Weiss learns the skills to survive on her own, from setting a fishing net to befriending the locals, from jarring rosehip butter to skinning a sea otter.Weiss's keenly observed prose introduces readers to the memorable people and peculiar beauty of Alaska's vast landscape and takes us on her personal journey of adventure, physical challenge, and culture clash. In the tradition of John McPhee's Coming into the Country, this elegant and affecting memoir is nature writing at its best.

    In the hands of one of today’s hottest young physicists, that simple fact of breakfast becomes a doorway to understanding the Big Bang, the universe, and other universes, too. In From Eternity to Here, Sean Carroll argues that the arrow of time, pointing resolutely from the past to the future, owes its existence to conditions before the Big Bang itself, a period modern cosmology of which Einstein never dreamed. Increasingly, though, physicists are going out into realms that make the theory of relativity seem like child’s play. Carroll’s scenario is not only elegant, it’s laid out in the same easy-to- understand language that has made his group blog, Cosmic Variance, the most popular physics blog on the Net. From Eternity to Here uses ideas at the cutting edge of theoretical physics to explore how properties of spacetime before the Big Bang can explain the flow of time we experience in our everyday lives. Carroll suggests that we live in a baby universe, part of a large family of universes in which many of our siblings experience an arrow of time running in the opposite direction. It’s an ambitious, fascinating picture of the universe on an ultra-large scale, one that will captivate fans of popular physics blockbusters like Elegant Universe and A Brief History of Time.

    Gangsters, addicts, orphans, taggers, cutters, the sick, the suffering, the hopeless--all the misfits of the world come through the Dream Center's doors in search of hope.But when Barnett first arrived in LA, it was "he" who felt like the misfit. In "Misfits Welcome," he shares the simple, life-changing lesson he has learned from twenty years of ministering to the forgotten: Being a misfit prepares you to do the work of the Lord.Have you found yourself in a jarring new era of life? Have your circumstances deviated drastically from your plans? Maybe you've felt like a misfit all your life, or maybe you're still haunted by yesterday's mistakes. Whatever the case, rejoice! It is at your most broken that you are most ready for what God has in store. "Misfits Welcome" is not just about embracing the misfits around us--it is about embracing the misfits "within" us and using them for the glory of God.

    Topics covered in the book include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics, counting and probability, and more! The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems. The solutions manual (sold separately) contains full solutions to all of the problems, not just answers. This book can serve as a complete Prealgebra course. This text is supplemented by free videos and a free learning system at the publisher's website.

    Reis

    But they decide to take a detour via Jeffrey's hometown and things go violently wrong when Jeffrey's best friend Robert shoots dead an intruder who breaks into his house.Jeffrey and Sara are first on the scene and Jeffrey's keen to clear his friend's name, but for Sara things aren't so simple. The sear marks around the bullet-hole don't tally with Robert's story. Robert's wife, Jessie, is incoherent and confused. And when Jeffrey appears to change the crime scene, Sara no longer knows who to trust.Twelve years later, Sara and Jeffrey are caught up in a shockingly brutal attack which threatens to destroy both their lives. But they're not random victims. They've been targeted. And it seems the past is catching up with both of them ...FaithlessThere are many ways to die. But some are more terrifying than others ...A walk in the woods takes a sinister turn for police chief Jeffrey Tolliver and medical examiner Sara Linton when they stumble across the body of a young girl. Incarcerated in the ground, all the initial evidence indicates that she has, quite literally, been scared to death.But as Sara embarks on the autopsy, something even more horrifying comes to light. Something which shocks even Sara. Detective Lena Adams, talented but increasingly troubled, is called in from vacation to help with the investigation - and the trail soon leads to the neighbouring county, an isolated community, and a terrible secret ...Skin PrivilegeLena Adams has spent her life struggling to escape her past. She has only unhappy memories of Reece, the small town which nearly destroyed her. She's made a new life for herself as a police detective in Heartsdale, a hundred miles away - but nothing could prepare her for the violence which explodes when she is forced to return. A vicious murder leaves a young woman incinerated beyond recognition. And Lena is the only suspect.When Heartsdale police chief Jeffrey Tolliver, Lena's boss, receives word that his detective has been arrested, he has no choice but to go to Lena's aid - taking with him his wife, medical examiner Sara Linton. But soon after their arrival, a second victim is found. The town closes ranks. And both Jeffrey and Sara find themselves entangled in a horrifying underground world of bigotry and rage - a violent world which shocks even them. A world which puts their own lives in jeopardy. Only Jeffrey and Sara can free Lena from the web of lies, betrayal and brutality that has trapped her. But can they discover the truth before the killer strikes again?

    They have become renowned for their visual excellence, which includes unparalleled photography, 3-D mapping, and specially commissioned cutaway illustrations. DK "Eyewitness Travel Guides" are the only guides that work equally well for inspiration, as a planning tool, a practical resource while traveling, and a keepsake following any trip. Each guide is packed with the up-to-date, reliable destination information every traveler needs, including extensive hotel and restaurant listings, themed itineraries, lush photography, and numerous maps.

    Elves and dwarves also had both passed into legend. And very few believed that any of the ancient tales were true or even could be true. There had assuredly never been dragons in the skies, or elves in the mountain forests and dwarves in their deep halls under The Elder Mountains – The Dragon Mountains. There were those from time to time who claimed to have caught a glimpse of a dragon but everyone knew that was as ridiculous as believing in real mages.Then a young man from the folk who live on the edge of the Kingdom in the hills at the feet of the ancient mountain finds that legends are coming to life. In a day he sees his first dragon, finds his home and family destroyed, sets out on a journey and is attacked by a dragon. Then he is bonded by another dragon and he finds that wondrous gifts are bestowed on him.In his journey he befriends other orphans and he is being followed by orphaned baby dragons and they begin to bond his new friends to save their lives. Each dragon bestows a special skill, magic, tracking, warrior, leader and more. Soon each orphan has a special skill. As their journey continues, their opponents mount and the odds of success seem to dwindle. And then new allies step out of legend……Show less

    Certainly the bailiff, John Little, has his suspicions about some of the warrior-like male acolytes, but are his fears justified? Infiltrating the group seems to be the best course of action, although the volatile Will Scaflock is none too happy about being nominated for the job by Friar Tuck...Following on from 2019's Faces of Darkness, this standalone new story sees three legendary heroes battling invisible 'Black Lords' and far more dangerous earthly foes, but can they figure out what's really going on in St Joseph's before anyone else dies?With twists and turns aplenty, and based on real events, historical fiction fans are sure to enjoy this action packed thriller as much as they did the author's previous bestsellers The Druid, Lucia and Wolf's Head.

    What we can see, hear, and feel we can take on face value that it is reality. But what about those things that are unseen? Scripture speaks about heaven, hell, angels and demons which are a part of this invisible spiritual realm. Internationally renowned Bible teacher R. C. Sproul helps us gain an understanding of these things so that we can come to a realisation that in fact all four are true realities that impact upon our everyday lives.