Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    This is Nick's story of his world record-breaking adventure and the extraordinary people who joined him along the way. On January 6th 2018, Nick Butter tied his laces and stepped out on to an icy pavement in Toronto, where he began to take the first steps of an epic journey that would see him run 196 marathons in every one of the world's 196 countries. Spending almost two years on the road and relying on the kindness of strangers to keep him moving, Nick's odyssey allowed him to travel slowly, on foot, immersing himself in the diverse cultures and customs of his host nations. Running through capital cities and deserts, around islands and through spectacular landscapes, Nick dodges bullets in Guinea-Bissau, crosses battlefields in Syria, survives a wild dog attack in Tunisia and runs around an erupting volcano in Guatemala. Along the way, he is often joined by local supporters and fellow runners, curious children and bemused passers-by. Telling their stories alongside his own, Nick captures the unique spirit of each place he visits and forges a new relationship with the world around him. Running the World captures Nick's journey as he sets three world records and covers over five thousand miles. As he recounts his adventures, he shares his unique perspective on our glorious planet, celebrates the diversity of human experience, and reflects on the overwhelming power of running.

    and now, The Fourth Dimension is this handy paperback. The result is a fantastic, enlightening, and mind-expanding reading experience. In text, pictures, and puzzles, master science and science fiction writer Rudy Rucker immerses his readers in an amazing exploration of a mysterious realm — a realm once seen only by mystics, physicists, and mathematicians. More accessible than Gödel, Escher, Bach and more playful than The Tao of Physics, Rucker's The Fourth Dimension is the most engaging tour of other dimensions since Flatland.David Povilaitis' 200 drawings illustrate Rucker's heady insights while dozens of puzzles and problems make the book a delight to the eye and mind. As Eileen Pollack has written in her rave review, The Fourth Dimension is "magical ... Its effects persist beyond its covers." That's because, like everything else in the fourth dimension, this is more than a book, it is a mental spaceship capable of grand tours of universes far beyond our own.

    Eyes wide open. I was standing at an open window, staring at the dizzying curve of Riverside Drive, five floors below. I’d stopped, somehow, poised, about to jump.Growing up the good girl in an Irish American family full of drinkers and terrible sleepers, Kathleen Frazier was twelve when her seemingly innocent sleepwalking turned dangerous. Over the next few years, she was a popular A+ student by day, the star of her high school musical. At night, she both longed for and dreaded sleep.Frazier moved to Manhattan in the 1980s, hoping for a life in the theater but getting a run of sleepwalking performances instead. Efforts to abate her malady with drinking failed miserably. She became promiscuous, looking for nighttime companionship. Could a bed partner save her from flinging herself down a flight of stairs or out an open window? Exhaustion stalked her, and rest and love were seemingly out of reach.This is the journey Frazier illuminates in her intimate memoir. While highlighting her quest to beat her sleep terrors and insomnia, this is ultimately a story of health, hope, and redemption.

    ENTANGLEMENT. REALITY. Books containing these three words are typically fluff or incomprehensible; this one is not. "Q is for Quantum" teaches a theory at the forefront of modern physics to an audience presumed to already know only basic arithmetic. Topics covered range from the practical (new technologies we can expect soon) to the foundational (old ideas that attempt to make sense of the theory). The theory is built up precisely and quantitatively. Deceptively vague jargon and analogies are avoided, and mysterious features of the theory are made explicit and not skirted. The tenacious reader will emerge with a better technical understanding of why we are troubled by this theory than that possessed by many professional physicists.

    How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    THE (BRAZENLY MADE-UP) SCIENCE OF TITANWORLD!Tokyo University dropout Rikao Yanagita, head of the Sci-Fi/Fantasy Science Research Institute and author of dozens of bestselling books on the science of sci-fi, manga, and anime, tackles the mysteries of Attack on Titan! Why do Titans, come from the south? Is the maneuvering gear dangerous? How were the walls built? The unexpectedly scientific answers to these questions will blow your human minds! Read it alongside the Attack on Titan manga for even more fun surprises!

    You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.

    It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.

    VIDEO TRAINING. 12+ HOURS of searchable video training (requires Internet access). If you learn better from videos, watch the videos and use the ebook only for quick reference. If you learn better from books, read the ebook and refer to the videos to see the author demonstrate real world editing techniques. This much video training usually costs over $100 or requires a monthly subscription. 2. 150+ PRESETS. Jump-start your creativity by using the included presets to give your pictures a unique look. Others charge over $200 for this many presets! 3. 50+ RAW PICTURE FILES. Work alongside many of the book's examples, or just learn by experimenting with professional photos. 4. TEACHER & PEER SUPPORT. After buying the book, you get access to the private group on Facebook where you can ask the questions and post pictures for feedback from Tony, Chelsea, and other readers. It’s like being able to raise your hand in class and ask a question! Instructions are in the introduction. With this video book, you ll learn how to instantly find any picture in your library, fix common photography problems, clean up your images, add pop to boring pictures, retouch portraits, make gorgeous prints, create photo books, and even edit your home videos. Tony goes beyond teaching you how to use Lightroom. Tony shows you why and when to use each feature to create stunning, natural photos. When Lightroom is not the best tool, Tony suggests better alternatives. Tony covers every aspect of Lightroom in-depth, but structures his teaching so that both beginner and advanced photographers can learn as efficiently as possible. If you just want a quick start, you can watch the first video or read the first chapter and you'll be organizing and editing your pictures in less than an hour. If you want to know more about a specific feature, switch to that video or jump to that chapter in the ebook. If you want to know everything about Lightroom, watch the videos and read the book from start to finish.

    Greene, who recently launched World Science U, which offers free online science courses, explains what it is that's so "elegant" about string theory while lamenting the possible limits of what dogs (and by implication humans) can ever hope to understand about the universe. The interview was conducted by Rivka Galchen, an acclaimed fiction writer and journalist, named by The New Yorker as one of 20 Writers Under 40. Cover design by Adil Dara Kim.

    Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee

    Worked examples and exercises support the text. An ELBS/LPBB edition is available.