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.

    Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

    They tell who we were, our jobs and memories of the place, and what we did after we came home. From a Marine ambulance driver at Khe Sanh, Special Ops troops fighting a guerrilla war against the VC and NVA, Recon pilots, artillerymen on Christmas Eve, a Navy seaman below decks fighting a catastrophic fire on the USS Oriskany, a New Zealand artillery unit firing round after round to stop an NVA assault, Marine Corpsmen saving the wounded under fire, patrolling the jungle with New Zealand infantry, walking into Khe Sanh with the 1st Cav as they broke the siege, riding in an APC with the armored cav across the hills in I Corps, being shot down in Cambodia with a Huey pilot, plus cooks, clerks, truck drivers, and gunship pilots, combat medics, and Marine grunts and many more -- from the Delta to the DMZ and Thailand to the South China Sea, this book puts you in their boots. While most Vietnam War books only cover one guy, one unit, one place, and one year, Volume 1, Volume 2, and now Volume 3 span all the war years from 1962 to 1975. Some of us were drafted. Some enlisted. Some were legit war heroes, but most were just trying to survive. As everyone “in-country” knew, Vietnam mostly came down to luck, good or bad. If you were there, you understand. If you weren’t, grab a copy and start reading anywhere in the book. The stories are like Doritos. Try a few. I guarantee and you won’t be able to stop.

     The ship was called “magnificent”, consuming as much as one hundred forty tons of coal every day even if it just stands still on the dock, and standing seven stories tall from dock to bridge. She was considered by engineers and shipbuilders as one of the finest examples of man’s ingenuity and creativity. In addition, out of all the ships that were converted for use in the war, the Lusitania was the only one that was exempted and continued on as a cruise ship. However, its job of carrying passengers across the Atlantic Ocean was not the thing that made her famous today. Read more.... Download your copy today! for a limited time discount of only $2.99! Available on PC, Mac, smart phone, tablet or Kindle device. © 2015 All Rights Reserved by Unlimited Press Works, LLC

    Magee does a great job of balancing the various aspects of the history of philosophy that may be of interest to different readers. Each philosopher is covered in a section of a few pages outlining the thinker's major ideas, but also containing sidebars with famous quotes, major works, related topics and historical notes. The book is organized chronologically and philosophers are grouped into intellectual movements, introduced and expanded by insets. This format allows the book to be used as a point reference on a single thinker or school of thought, but also reads well from cover to cover as the "story of thought". If you are looking for a good introduction to philosophy, it would be hard to find a more complete, accessible, and universally appealing resource.

    Book by Muhammad, Elijah, Elijah Muhammad

    As the Roman Empire fights for its life and emerging Christianity fights for our souls, Hypatia is the last great voice of reason. A woman of sublime intelligence, Hypatia ranks above not only all women, but all men. Hypatia dazzled the world with her brilliance, was courted by men of every persuasion and was considered the leading philosopher and mathematician of her age ... yet her mathematics, her inventions, the very story of her life in all its epic and dramatic intensity, has gone untold. A heart-breaking love story, an heroic struggle against intolerance, a tragedy and a triumph, Hypatia walks through these pages fully realized while all around her Egypt's Alexandria, the New York City of its day, strives to remain a beacon of light in a darkening world.

    

    Hence, one may well wonder whether a new book on the subject is really needed. Can anything new actually be said about Atlantis? The answer is a most categorical yes. After all, the riddle of Atlantis has never been satisfactorily solved so far. The present book is an attempt by a reputed scientist, to scientifically compare and refute – perhaps for the first time ever – the various existing theories on Atlantis’ location and reality. The author also expounds his own theory which definitively locates Atlantis in Indonesia. In his research, Prof. Santos marries the most recent results and techniques of Modern Science to the sacred and folk lore of all the peoples of the world, knitting humanity together in a solution to the riddle of Atlantis that neatly ties together the vast scientific and traditional evidence which was always there but never before seen by other researchers. The reader, whether a scientist with an open mind or a lay person, is led to conclude that Plato could well have been telling the truth, after all, since the information provided by the great philosopher is so uncannily confirmed by the recent scientific finds of all sorts.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    This hidden tradition, according to Harpur, places our soul at the center of the universe and emphasizes imagination, the collective unconscious, and an “otherworld” or afterlife; above all, it teaches us how to know ourselves and how to recover a sense of meaning largely lost today. Harpur shows how this tradition drives the literature of otherworld journeys, from the flights of shamans and the dreams of psychoanalysis to the mystic imagination of Romantic poets and the visions of those having near-death experiences. The Secret Tradition of the Soul is the first book to gather together all the threads of the soul tradition and weave them into a bigger, clearer picture, presenting a worldview at once ancient and revolutionary.About the Imprint: EVOLVER EDITIONS promotes a new counterculture that recognizes humanity's visionary potential and takes tangible, pragmatic steps to realize it. EVOLVER EDITIONS explores the dynamics of personal, collective, and global change from a wide range of perspectives. EVOLVER EDITIONS is an imprint of North Atlantic Books and is produced in collaboration with Evolver, LLC.

    He produces a wonderfully skillful synthesis of the available material—one that sees the occult in the light of reason and reason in the light of the mystical and paranormal. The result is a wide-ranging survey of the subject that provides a comprehensive history of magic, an insightful exploration of our latent powers, and a journey of enlightenment. “I am very impressed by this book, not only by its erudition but…above all for the good-natured, unaffected charm of the author whose reasoning is never too far-fetched, who is never carried away by preposterous theories.”—Sunday Times

    Since its foundation in 1919, Leeds United Football Club has seen more ups and downs than most, rising to global fame through an inimitable and uncompromising style in the 70s, clinching the last Division One title of the pre-Sky Sports era in 1992, before becoming the epitome of financial mismanagement at the start of the 21st century. Despite this demise, United remains one of the best supported – and most divisive – clubs in football, with supporters’ clubs dotted across the globe. In 100 Years of Leeds United, Chapman delves deep into the archives to discover the lesser-known episodes, providing fresh context to the folkloric tales that have shaped the club we know today, painting the definitive picture of the West Yorkshire giants.

    It covers the most fertile and the most lasting work on every significant area he published in.

    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.