Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

    Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matter—from the smallest quarks to the most gargantuan supernovas—is generated by the vibrations of microscopically tiny loops of energy.Today physicists and mathematicians throughout the world are feverishly working on one of the most ambitious theories ever proposed: superstring theory. String theory, as it is often called, is the key to the Unified Field Theory that eluded Einstein for more than thirty years. Finally, the century-old antagonism between the large and the small-General Relativity and Quantum Theory-is resolved. String theory proclaims that all of the wondrous happenings in the universe, from the frantic dancing of subatomic quarks to the majestic swirling of heavenly galaxies, are reflections of one grand physical principle and manifestations of one single entity: microscopically tiny vibrating loops of energy, a billionth of a billionth the size of an atom. In this brilliantly articulated and refreshingly clear book, Greene relates the scientific story and the human struggle behind twentieth-century physics' search for a theory of everything.Through the masterful use of metaphor and analogy, The Elegant Universe makes some of the most sophisticated concepts ever contemplated viscerally accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

    A simple web search picks out a handful of relevant needles from the world's biggest haystack: the billions of pages on the World Wide Web. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers; and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? This is the first book to answer that question in language anyone can understand, revealing the extraordinary ideas that power our PCs, laptops, and smartphones. Using vivid examples, John MacCormick explains the fundamental "tricks" behind nine types of computer algorithms, including artificial intelligence (where we learn about the "nearest neighbor trick" and "twenty questions trick"), Google's famous PageRank algorithm (which uses the "random surfer trick"), data compression, error correction, and much more. These revolutionary algorithms have changed our world: this book unlocks their secrets, and lays bare the incredible ideas that our computers use every day.

    She expected tranquil gardens and swoopy-roofed houses, not concrete and neon. And everyone assumes that, with her traditional Japanese features, she's a native instead of the naïve Japanese-American that she really is. Even Erik, a gorgeous German student, mistakes Nori for Japanese, and treats her like a personal tour guide. Nori is sure that he'll like her for who she is once he gets to know her, so what harm can come of temporarily pretending to be Japanese? It doesn't take long to realize that she has a lot to learn about Japan, and about herself, before she can pass for a native. But after exploring the karaoke clubs in Tokyo, the peaceful temples in Kyoto, and the tranquil heights of Mt. Fuji, Nori knows she has a good chance of finding the hidden Japanese spirit and Zen mindset within herself.

    Indeed, many physicists today believe that there are other dimensions beyond the four of our space-time, and that a unified vision of the various forces of nature can be achieved, if we consider that everything we see around us, from the trees to the stars are nothing but vibrations in hyperspace. Hyperspace theory - and its more recent derivation, superstring theory - is the eye of this revolution. In this book, Michio Kaku shows us a fascinating panorama, which completely changes our view of the cosmos, and takes us on a dazzling journey through new dimensions: wormholes connecting parallel universes, time machines, "baby universes" and more. Similar wonders are emerging in some pages in which everything is explained with elegant simplicity and where the mathematical formulation is replaced by imaginative illustrations that allow the problems to be visualized. The result is a very entertaining and surprising book, which even leaves behind the greatest fantasies of the old science fiction authors.

    The only difference is when and where you die..."One month has passed since Akihiko Kayaba's deadly game began, and the body count continues to rise. Two thousand players are already dead.Kirito and Asuna are two very different people, but they both desire to fight alone. Nonetheless, they find themselves drawn together to face challenges from both within and without. Given that the entire virtual world they now live in has been created as a deathtrap, the surviving players of Sword Art Online are starting to get desperate, and desperation makes them dangerous to loners like Kirito and Asuna. As it becomes clear that solitude equals suicide, will the two be able to overcome their differences to find the strength to believe in each other, and in so doing survive?Sword Art Online: Progressive is a new version of the Sword Art Online tale that starts at the beginning of Kirito and Asuna's epic adventure--on the very first level of the deadly world of Aincrad!

    He turns out to be a bird who discusses maths with anyone who will listen. So when Mr Ruche learns of his friend's mysterious death in the rainforests of Brazil he decides that with the parrot's help he will use these books to teach Max and his twin brother and sister the mysteries and wonders of numbers and shapes.But soon it becomes clear that Mr Ruche has inherited the library for reasons other than pure enlightenment, and before he knows it the household are caught up in a race to prevent the vital theorems falling into the wrong hands.Charming, fresh, with a narrative which races along, the novel takes the reader on a delightful journey through the history of mathematics.

     This comprehensive handbook-essential for every Twilight Saga fan-is full-color throughout with nearly 100 gorgeous illustrations and photographs and with exclusive new material, character profiles, genealogical charts, maps, extensive cross-references, and much more.

    Utterly compelling, brilliantly written, You Deserve Nothing is a captivating tale about teachers and students, of moral uncertainties and the coming of adulthood. It heralds the arrival of a brilliant new voice in fiction.

    Whatever you’re thinking, it’s probably worse. August Pullman was born with a facial difference that, up until now, has prevented him from going to a mainstream school. Starting 5th grade at Beecher Prep, he wants nothing more than to be treated as an ordinary kid—but his new classmates can’t get past Auggie’s extraordinary face. Wonder, begins from Auggie’s point of view, but soon switches to include his classmates, his sister, her boyfriend, and others.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    “Bono met his wife in high school,” Park says.“So did Jerry Lee Lewis,” Eleanor answers.“I’m not kidding,” he says.“You should be,” she says, “we’re 16.”“What about Romeo and Juliet?”“Shallow, confused, then dead.”“I love you,” Park says.“Wherefore art thou,” Eleanor answers.“I’m not kidding,” he says.“You should be.”Set over one school year in 1986, Eleanor & Park is the story of two star-crossed misfits – smart enough to know first love almost never lasts, but brave and desperate enough to try.

     Travis is back from college for the summer, and he's just starting to settle in to the usual pattern at home: drinking, drugging, watching porn, and hooking up. But Travis isn't settling in like he used to; something isn't right. Maybe it's that deadly debauch in Hawaii, the memories of which Travis can't quite shake. Maybe it's Laura, Travis's ex, who reappears on the scene after a messy breakup and seems to want to get together -- or not. Or maybe it's his suddenly sensing how empty and messed up his life is, and wanting out. But once you're at the party, it's tough to leave...

    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    Ostracized as a child, he held on to a belief that a good life was waiting for him in the years ahead. Now approaching the age of twenty, he's a completely mediocre college student with no motivation, no dreams, and no money. After learning he can sell his remaining years-and just how little they're worth-he chooses to divest himself of all but his last three months. Has Kusunoki truly destroyed his last chance to find happiness...or has he somehow found it?