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.

    That book was the last surviving manuscript of an ancient Roman philosophical epic, On the Nature of Things, by Lucretius—a beautiful poem of the most dangerous ideas: that the universe functioned without the aid of gods, that religious fear was damaging to human life, and that matter was made up of very small particles in eternal motion, colliding and swerving in new directions.The copying and translation of this ancient book—the greatest discovery of the greatest book-hunter of his age—fueled the Renaissance, inspiring artists such as Botticelli and thinkers such as Giordano Bruno; shaped the thought of Galileo and Freud, Darwin and Einstein; and had a revolutionary influence on writers such as Montaigne and Shakespeare and even Thomas Jefferson.

    From the decipherment of hieroglyphics in 1822 to the discovery of Tutankhamun’s tomb by Howard Carter and Lord Carnarvon a hundred years later, the uncovering of Egypt’s ancient past took place in an atmosphere of grand adventure and international rivalry.In A World Beneath the Sands, acclaimed Egyptologist Toby Wilkinson chronicles the ruthless race between the British, French, Germans, and Americans to lay claim to its mysteries and treasures. He tells riveting stories of the men and women whose obsession with Egypt’s ancient civilization helped to enrich and transform our understanding of the Nile Valley and its people, and left a lasting impression on Egypt, too. Travelers and treasure-hunters, ethnographers and archaeologists: whatever their motives, whatever their methods, a century of adventure and scholarship revealed a lost world, buried for centuries beneath the sands.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the GalaxyWe human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric.Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.

    Named for their leader, Mark Antony, these common Roman soldiers, through their gallantry on the battlefield, reshaped the Roman Empire and aided the spread of Christianity throughout Europe.

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    It was August 3, 1943, just one day after Sam escaped the Camp during a prisoner uprising. With 870,000 murdered at Treblinka, Sam was one of approximately 65 to survive and live until the end of the war. Esther had been hiding in that patch of forest for a year and was out that morning, looking for mushrooms to eat. They met and after hearing of the prisoner revolt, she took him to the Righteous Gentiles who, at great danger to themselves, hid them in their barn for three days while the Nazis, Ukrainians and Poles scoured the area looking for escapees. Deciding to stay and hide with Esther, they dug a forest pit where they “lived” when it was not freezing. They subsisted in the pit and the barns – hungry, cold, and scared – for another year until they were liberated by the Red Army in July of 1944. This is only one piece of their harrowing story of survival. This book tells the story of Sam and Esther, Holocaust survivors, who lost their entire families because of Hitler’s Final Solution. After four years in Displaced Person’s Camps, they arrived in New York Harbor to build a new life. The author, Karen Treiger, is Sam and Esther’s daughter-in-law, and with in-depth research and a bit of luck was able to find the three surviving children of the Styś families – those Righteous Gentiles who helped Sam and Esther during that dark time. She and her family traveled to Poland to walk in Sam and Esther’s footsteps and to meet the Styś children. It was intensely emotional, and the family heard some of what Sam and Esther lived through from those who helped them survive. Also, with the help of a Polish Priest, she was able to locate and meet a Goldberg cousin they never knew they had. My Soul is Filled with Joy: A Holocaust Story brings to life the horror of the Nazis’ actions and the toll that it exacted on so many Jewish families. This is also a story of hope, love and determination; of a family rediscovering the path taken by their parents to find life and freedom in a new world. Sam and Esther’s story is one of love and the will to live no matter what they had to endure. It reminds us that we are still learning the lessons of the Holocaust. TRIBUTES “Karen has written a powerful and personal account of Sam and Esther Goldberg. This book is a must read for those interested in the greatest crime in the history of mankind.” Chris Webb, Author/Historian, Founder of the Holocaust Historical Society,br> “It is vital that this book—as well as other accounts of the Holocaust— be preserved and disseminated widely to future generations to help prevent anything similar from ever happening again.”Marion Blumenthal Lazan, Holocaust Survivor and Co-Author, Four Perfect Pebbles“One can only bow one’s head, out of an unutterable gratitude, to the author for her contribution to the sacred narrative of our people. I call this book sacred, for (as with all forms of scripture) it tells not only what happened - but how to live in light of the story.”Rabbi Yitz Greenberg, President Emeritus, CLAL: The National Jewish Center for Learning and Leadership; chairman, the United States Holocaust Memorial Council, 2000-2002. “We are haunted by the question of inexplicable evil. If you want to be inspired in spite of the horrors one human being can do to another human being, read this book.

    If you read one book on human origins, this should be it' Ian Morris, author of Why the West Rules - For Now 'The who, what, where, when and how of human evolution, from one of the world's experts on the dating of prehistoric fossils' Steve Brusatte, author of The Rise and Fall of the Dinosaurs50,000 years ago, we were not the only species of human in the world. There were at least four others, including the Neanderthals, Homo floresiensis, Homo luzonesis and the Denisovans. At the forefront of the latter's ground-breaking discovery was Oxford Professor Tom Higham. In The World Before Us, he explains the scientific and technological advancements - in radiocarbon dating and ancient DNA, for example - that allowed each of these discoveries to be made, enabling us to be more accurate in our predictions about not just how long ago these other humans lived, but how they lived, interacted and live on in our genes today. This is the story of us, told for the first time with its full cast of characters.'The application of new genetic science to pre-history is analogous to how the telescope transformed astronomy. Tom Higham brings us to the frontier of recent discoveries with a book that is both gripping and fun' Paul Collier, author of The Bottom Billion'This exciting book shows that we now have a revolutionary new tool for reconstructing the human past: DNA from minute pieces of tooth and bone, and even from the dirt on the floor of caves' David Abulafia, author of The Boundless Sea'The remarkable new science of palaeoanthropology, from lab bench to trench' Rebecca Wragg Sykes, author of Kindred'Higham's thrilling account makes readers feel as if they were participating themselves in the extraordinary series of events that in the last few years has revealed our long-lost cousins' David Reich, author of Who We Are and How We Got Here'A brilliant distillation of the ideas and discoveries revolutionising our understanding of human evolution' Chris Gosden, author of The History of Magic

    This outstanding history illustrates the utter futility of fighting the market process through legislation, which always uses despotic measures to yield socially catastrophic results.The book covers the ancient world, the Roman Republic and Empire, Medieval Europe, the first centuries of the United States and Canada, the French Revolution, the 19th century, World Wars I and II, the Nazis, the Soviets, postwar rent control, and the 1970s. It also includes a very helpful conclusion spelling out the theory of wage and price controls.This book is a treasure, and super entertaining!To search for Mises Institute titles, enter a keyword and LvMI (short for Ludwig von Mises Institute); e.g., Depression LvMI

    Each clique of scientists has a part of the story correct, but new evidence shows they are all fundamentally wrong.On the one side, we have academics highlighting the astonishing fossil record of China with multiple sites now producing modern human fossils aged between 80 - 120 thousand years, or older. Several extremely ancient fossil finds in China, including Dali, Maba and Jinniushan, place archaic Homo sapiens in this region up to 260,000 years ago.On the other side, we have scientists pointing to Africa's impressive fossil record with its evidence of potential ancestors going back around 6 million years. The evidence of extreme genetic diversity among Africans and the discovery of 300,000-year-old archaic Homo sapiens fossils in Morocco tends to further support the idea that humans came out from Africa. We can understand why both sides are so sure of their positions, and why the debate continues. While leading academics focussed on their own agendas, they overlooked significant evidence. Between the two poles of Out of Africa and Out of Asia Theory, exists a 'Middle Way'. The Forgotten Exodus: The Into Africa Theory of Human Evolution, reveals that within the known fossil record, the current genetic studies and recent paleoclimate models there is compelling evidence for a superior theory of human origins, representing a paradigm displacement.The Into Africa Theory does not dispute the evidence placing the earliest hominins in Africa.However, it does not agree with the consensus view that Homo sapiens emerged there first and later migrated to Eurasia.The Into Africa Theory recognises the extraordinary evidence for critical stages in our development occurring in East and Southeast Asia. It is abundantly clear that as a new concerted effort to gather and evaluate fossil evidence begins in earnest we see astonishing new discoveries. The Into Africa Theorydisputes the claims of Out of Africa and Out of Asia(or Europe) adherents over the starting point for the migration which populated Eurasia approximately 60,000 years ago and identifies the actual location.Amazing facts that you will encounter:-Homo heidelbergensis was not ancestral to modern humans -Denisovan fossils in Siberia carried DNAfrom Australian Aboriginals-An Indonesian supervolcano brought about the end for multiple hominin species-Climate catastrophe locked humans in Africa from 73,000 to 59,000 years ago-There is no African fossil DNA over 10,000 years in age-While supposedly isolated, Aboriginal Australians interbred with Denisovans 44,000 years agoYou will gain access to a long-forgotten conversation involving the famous evolutionary scientists Allan Wilson and Rebecca Cann, in which they admitted that their data suggested Aboriginal Australians were ancestral to all modern humans.Learn why the appearance of the haplogroups foundational to Eurasians, L3 and CT, had to come from a population incursion rather than an in-situ mutation.Explore the cutting-edge scientific findings of 2016 and 2017 alongside a broad range of anomalies long suppressed or ignored in academic circles.The Forgotten Exodus' author Bruce R. Fenton began his journey towards a new understanding of human origins after an expedition to a mysterious megalithic complex in the Ecuadorian Amazon. The Information Systems professional and lifelong scholar of ancient cultures, found himself tracing the threads of the human story across six continents and through 6,000,000 years of history. You will come away with a unique view of humanity and a sense of excitement for revelations still set to arrive. This book reminds all of us that we have a collective ability to overcome enormous obstacles.

    It spans the millennia and the continents - from India to Andalusia and from the bazaars of Cairo to the streets of Oxford. It takes you to unimagined places: to a Jewish kingdom in the mountains of southern Arabia; a Syrian synagogue glowing with radiant wall paintings; the palm groves of the Jewish dead in the Roman catacombs. And its voices ring loud and clear, from the severities and ecstasies of the Bible writers to the love poems of wine bibbers in a garden in Muslim Spain.And a great story unfolds. Not - as often imagined - of a culture apart, but of a Jewish world immersed in and imprinted by the peoples among whom they have dwelled, from the Egyptians to the Greeks, from the Arabs to the Christians. Which makes the story of the Jews everyone's story, too.

    It turns out that the Neanderthals’ behavior was surprisingly modern: they buried the dead, cared for the sick, hunted large animals in their prime, harvested seafood, and communicated with spoken language. Meanwhile, advances in DNA technologies are compelling us to reassess the Neanderthals’ place in our own past.For hundreds of thousands of years, Neanderthals evolved in Europe parallel to Homo sapiens evolving in Africa, and, when both species made their first forays into Asia, the Neanderthals may even have had the upper hand. In this important volume, Dimitra Papagianni and Michael A. Morse compile the first full chronological narrative of the Neanderthals’ dramatic existence—from their evolution in Europe to their expansion to Siberia, their subsequent extinction, and ultimately their revival in popular novels, cartoons, cult movies, and television commercials.

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    Best-selling paleontology author Donald R. Prothero describes twenty-five famous, beautifully preserved fossils in a gripping scientific history of life on Earth. Recounting the adventures behind the discovery of these objects and fully interpreting their significance within the larger fossil record, Prothero creates a riveting history of life on our planet.The twenty-five fossils portrayed in this book catch animals in their evolutionary splendor as they transition from one kind of organism to another. We witness extinct plants and animals of microscopic and immense size and thrilling diversity. We learn about fantastic land and sea creatures that have no match in nature today. Along the way, we encounter such fascinating fossils as the earliest trilobite, Olenellus; the giant shark Carcharocles; the "fishibian" Tiktaalik; the "Frogamander" and the "Turtle on the Half-Shell"; enormous marine reptiles and the biggest dinosaurs known; the first bird, Archaeopteryx; the walking whale Ambulocetus; the gigantic hornless rhinoceros Paraceratherium, the largest land mammal that ever lived; and the Australopithecus nicknamed "Lucy," the oldest human skeleton. We meet the scientists and adventurers who pioneered paleontology and learn about the larger intellectual and social contexts in which their discoveries were made. Finally, we find out where to see these splendid fossils in the world's great museums.Ideal for all who love prehistoric landscapes and delight in the history of science, this book makes a treasured addition to any bookshelf, stoking curiosity in the evolution of life on Earth.