Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

    But scientists in the late 20th century have found patterns in things formerly thought to be chaotic; their theories help explain the unstable irregular yet highly structured features of everyday experience. It now seems likely that randomness and chaos play an essential role in the evolution of the living world-and of intelligence itself. Script by Dr. Roger White.

    What is superstring theory and why is it important? This revolutionary breakthrough may well be the fulfillment of  Albert Einstein's lifelong dream of a Theory of Everything, uniting the laws of physics into a single description explaining all the known forces in the universe. Co-authored by one of the leading pioneers in superstrings, Michio Kaku, and completely revised and updated with the newest groundbreaking research, the book approaches scientific questions with the excitement of a detective story, offering a fascinating look at the new science that may make the impossible possible.

    Admittedly real life wasn’t like that. But only, they argued, because we didn’t have enough data to be certain.Then the cracks began to appear. It proved impossible to predict exactly how three planets orbiting each other would move. Meteorologists discovered that the weather was truly chaotic – so dependent on small variations that it could never be predicted for more than a few days out. And the final nail in the coffin was quantum theory, showing that everything in the universe has probability at its heart.That gives human beings a problem. We understand the world through patterns. Randomness and probability will always be alien to us. But it’s time to plunge into this fascinating, shadowy world, because randomness crops up everywhere. Probability and statistics are the only way to get a grip on nature’s workings. They may even seal the fate of free will and predict how the universe will end.Forget Newton’s clockwork universe. Welcome to Dice World.

    In The Constants of Nature, Cambridge Professor and bestselling author John D.Barrow takes us on an exploration of these governing principles. Drawing on physicists such as Einstein and Planck, Barrow illustrates with stunning clarity our dependence on the steadfastness of these principles. But he also suggests that the basic forces may have been radically different during the universe’s infancy, and suggests that they may continue a deeply hidden evolution. Perhaps most tantalizingly, Barrow theorizes about the realities that might one day be found in a universe with different parameters than our own.

    She draws on conversations with hundreds of the world's top scientists and on her own work as a Pulitzer Prize-winning writer for the New York Times to create a thoroughly entertaining guide to scientific literacy. Angier's gifts are on full display in The Canon, an ebullient celebration of science that stands to become a classic. The Canon is vital reading for anyone who wants to understand the great issues of our time -- from stem cells and bird flu to evolution and global warming. And it's for every parent who has ever panicked when a child asked how the earth was formed or what electricity is. Angier's sparkling prose and memorable metaphors bring the science to life, reigniting our own childhood delight in discovering how the world works. "Of course you should know about science," writes Angier, "for the same reason Dr. Seuss counsels his readers to sing with a Ying or play Ring the Gack: These things are fun and fun is good." The Canon is a joyride through the major scientific disciplines: physics, chemistry, biology, geology, and astronomy. Along the way, we learn what is actually happening when our ice cream melts or our coffee gets cold, what our liver cells do when we eat a caramel, why the horse is an example of evolution at work, and how we're all really made of stardust. It's Lewis Carroll meets Lewis Thomas -- a book that will enrapture, inspire, and enlighten.

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

     In our world today we hear a lot about self-love; a lot about embracing who you are now. But if you really love yourself and your body, you wouldn't act like you have a spare. It is never too late to love yourself enough to be healthy. WARNING IF YOU ARE SENSITIVE, DO NOT BUY THIS BOOK. It's not for you. This book is for people with thick skin who believe good health is more important than polite presentation. So if you care about getting healthy, staying fit, and doing it in a sustainable way - then consider this book your drill instructor (harsh language and all). ABOUT THE AUTHOR Alan Roberts is the founder of Every Damn Day Fitness and Co-Founder of the Damn Collective with his wife Crystal. Together, they have helped thousands of people increase the quality of their lives by coaching them to healthier habits, wisdom which they accrued through trial and error in their own lives. Originally from Pittsburgh, PA, Alan now resides in sunny, south west Florida.

    The absence of a book, explaining the techniques in a simple language, has been felt acutely for a long time. This book has been written using a step-by-step approach, and attempts to fill the existing void. It includes several solved problems in addition to 1000 practice problems with answers. It also includes a special chapter which shows the application of the techniques to problems set in competitive exams like CAT, CET etc.People from all walks of life including school and college students, teachers, parents and also those from non-mathematical areas of study will discover the joys of solving mathematical problems using the wonderful set of techniques called Vedic Maths.

    Set in the format of the Christian Bible, this 800-plus-page opus is a life-guide manual for members of Hip Hop Kulture that combines classic philosophy with faith and practical knowledge for a fascinating, in-depth exploration of Hip Hop as a life path. Known as “The Teacha,” KRS ONE developed his unique outlook as a homeless teen in Brooklyn, New York, engaging his philosophy of self-creation to become one of the most respected emcees in Hip Hop history. Respected as Hip Hop’s true steward, KRS ONE painstakingly details the development of the culture and the ways in which we, as “Hiphoppas,” can and should preserve its future. "The Teacha" also discusses the origination of Hip Hop Kulture and relays specific instances in history wherein one can discover the same spirit and ideas that are at the core of Hip Hop’s current manifestation. He explains Hip Hop down to the actual meaning and linguistic history of the words “hip” and “hop,” and describes the ways in which "Hiphoppas" can change their current circumstances to create a future that incorporates Health, Love, Awareness, and Wealth (H-LAW). Committed to fervently promoting self-reliance, dedicated study, peace, unity, and truth, The "Teacha" has drawn both criticism and worship from within and from outside of Hip Hop Kulture. In this beautifully written, inspiring book, KRS ONE shines the light of truth, from his own empirical research over a 14-year period, into the fascinating world of Hip Hop.

    Turing’s openness about his homosexuality at a time when it was an imprisonable offense ultimately led to his untimely lo death at the age of only forty-one. In Alan Turing: Unlocking the Enigma, David Boyle reveals the mysteries behind the man and his remarkable career. Aged just 22, Turing was elected a fellow at King's College, Cambridge on the strength of a dissertation in which he proved the central limit theorem. By the age of 33, he had been awarded the OBE by King George VI for his wartime services: Turing was instrumental in cracking the Nazi Enigma machines at the top secret code breaking establishment at Bletchley Park during the Second World War.But his achievements were to be tragically overshadowed by the paranoia of the post-War years. Hounded for his supposedly subversive views and for his sexuality, Turing was prosecuted in 1952, and forced to accept the humiliation of hormone treatment to avoid a prison sentence. Just two years later, at the age of 41 he was dead. The verdict: cyanide poisoning.Was Turing’s death accidental as his mother always claimed? Or did persistent persecution drive him to take him own life?Alan Turing: Unlocking the Enigma seeks to find the man behind the science, illuminating the life of a person who is still a shadowy presence behind his brilliant achievements.

    These tiny, ghostly particles are formed by the billions in stars and pass through us constantly, unseen, at almost the speed of light. Yet half a century after their discovery, we still know less about them than all the other varieties of matter that have ever been seen. In this engaging, concise volume, renowned scientist and popular writer Frank Close gives a vivid account of the discovery of neutrinos and our growing understanding of their significance, also touching on some speculative ideas concerning the possible uses of neutrinos and their role in the early universe. Close begins with the early history of the discovery of radioactivity by Henri Becquerel and Marie and Pierre Curie, the early model of the atom by Ernest Rutherford, and problems with these early atomic models, and Wolfgang Pauli's solution to that problem by inventing the concept of neutrino (named by Enrico Fermi, neutrino being Italian for little neutron). The book describes how the confirmation of Pauli's theory didn't occur until 1956, when Clyde Cowan and Fred Reines detected neutrinos, and reveals that the first natural neutrinos were finally detected by Reines in 1965 (before that, they had only been detected in reactors or accelerators). Close takes us to research experiments miles underground that are able to track neutrinos' fleeting impact as they pass through vast pools of cadmium chloride and he explains why they are becoming of such interest to cosmologists--if we can track where a neutrino originated we will be looking into the far distant reaches of the universe. In telling the story of the neutrino, Close offers a fascinating portrait of a strand of modern physics that sheds light on everything from the workings of the atom and the power of the sun.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now.Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razor's edge of modern scientific theory. One of the world's leading theoretical physicists, Lisa Randall provides astonishing scientific possibilities that, until recently, were restricted to the realm of science fiction. Unraveling the twisted threads of the most current debates on relativity, quantum mechanics, and gravity, she explores some of the most fundamental questions posed by Nature—taking us into the warped, hidden dimensions underpinning the universe we live in, demystifying the science of the myriad worlds that may exist just beyond our own.