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.

    Serene illustrations frame gentle words that describe heaven from a child's perspective. With room for the reader's personal reflections at the end of the book, every page is a poignant gift of hope and healing. "Our stories are all different, but our pain is the same," writes Linda. "We are mothers who will forever grieve the loss of our children. And yet, there is hope for our troubled souls."

    True Ghost Stories and More. Haunted, Chilling Short Stories That Will Freak You Out!-A Physician Encounters A Mysterious Patient He’ll Never Forget A Woman Learns She Has Been Followed By A Demon Driving A Car -A Deceased, Famous Singer Takes The Stage During A Seance-PLUS 67 More TRUE, Spooky Stories From The Popular Campfire Podcast FREE Audio Download With Purchase On this special audio Campfire, exclusively created for readers of TRUE GHOST STORIES: Jim Harold's Campfire 4, Jim replays the audio of his 5 favorite stories from this compilation.You will hear the original retelling of these stories by actual Campfire callers. It is a paranormal countdown in the spirit of the old Top 40 radio shows. Using the link EXCLUSIVELY SHARED WITH CAMPFIRE 4 READERS IN THE BOOK, you'll be able to download or stream this BONUS content to the device of your choice. It is Jim's special thank you gift! 18 Million Downloads Can't Be Wrong! Jim Harold's paranormal podcasts have been downloaded over 18 million times, and the program that gets the most response is his popular Campfire show. In this book, TRUE GHOST STORIES: Jim Harold's Campfire 4, Jim shares 70 more of the best stories ever featured on the program. You'll read REAL PEOPLE's experiences with ghosts plus some UFO, shadow people and angel stories added for flavor. Real World Paranormal Activity If you like The Conjuring, or The Exorcist you'll love the real thing! BUY TRUE GHOST STORIES: Jim Harold's Campfire 4 TODAY!NOTE: YOU DO NOT NEED A KINDLE TO READ A KINDLE BOOK, SEARCH AMAZON FOR THEIR FANTASTIC FREE READING APPS FOR ABOUT EVERY DEVICE KNOWN TO MAN!!!!

    Foster carer Mia Marconi was thrilled when he first arrived – a boy the same age as her son.It can be so bewildering for foster children when they arrive. The older ones are usually withdrawn and sullen. The younger ones will be screaming, spitting at you, making themselves sick and throwing themselves on the floor.For Mia, it’s normally her boisterous, happy children who provide the comfort at the beginning, because why should they trust another adult. Children always feel safe and secure when there are other children about. Mia believes it’s through making relationships with other children that they begin to trust adults again. But little did she know that six-year-old Brody was actually taking his anger and frustration out on her son. She quickly begins to realise the heavy price her family has had to pay. (Amazon.com)

    

    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.

    If you're like most players, you struggle with nearly every aspect of the game: offense, defense, execution and combos, and generally having a game plan that is more complex than just mashing buttons at every opportunity. A Road Map Toward Improvement Street Fighter is a game that requires practice, finesse, and knowledge. Unfortunately, most players don't have any guidance on where to begin when learning the game which leads to lots of frustration and losses. This guide is designed to give you a road map for improving your skills so that when SF5 drops you can hit the ground running!Lots of players are under the misconception that since SF5 is a brand new game, there's no point in playing SF4 and improving. While it is true that there will be lots to learn in SF5 such as new engines and characters, this is not a reason not to improve on your Street Fighter fundamentals in the meantime. The Importance of a Solid Foundation Like anything else worth doing in life, developing a foundation of solid fundamentals is the key to improving. Even though SF5 will have brand new characters and mechanics, the core elements of Street Fighter remain the same throughout the franchise. Execution, footsies and space control, combos, punishing, and resource management are important in all Street Fighter games and this guide will show you how to use SF4 to improve on these aspects of your game. Who is gootecks and why should I bother? I've played Street Fighter competitively since 2003, starting with Street Fighter III: 3rd Strike and continuing with Street Fighter 4. I've traveled to compete in tournaments around the world, including places like Japan, Singapore, Australia, Canada, and Europe.A lot of people may know me as the co-host of Excellent Adventures of gootecks & Mike Ross, or perhaps from my work on Cross Counter TV, the entertainment network for fighting game fans.Recently, I've begun training players just like yourself through Cross Counter Training, where players like EG.Justin Wong, EG.K-Brad, Alex Myers are available for helping players of all skill levels improve. Through working with my students, I've developed what I believe to be an extremely effective method of learning how to play Street Fighter. This method is based on the idea of learning one tiny aspect of the game at a time through the eyes of the poster boy of Street Fighter, Ryu. "But Ryu is boring, gootecks!" I know, I know, you think Ryu is boring and everybody plays him and you want to play a cool, flashy character so you can style on people on stage at Evo someday. Unfortunately, you'll need to learn how to walk before you can run and there is no better investment of time as a new player than to learn Ryu in order to build a strong foundation.Taking this time now to develop your fundamentals will serve you well as you transition to Street Fighter 5. Ryu is definitely different in SF5, but the tools and concepts you'll learn in this guide will give you a leg up on the competition when SF5 drops.

    What is it that remains when the spiritual path, and even enlightenment, is transcended? Dismantling the Fantasy is a consideration of the movement out of thought itself. This may sound extreme or even impossible, but again it is a simple consideration of your potential as a human being, and you can easily understand it from the life experience you already have.