Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    One island, two unique societies (Norse and Inuit). Only one of these societies would succeed--the other would fail. But how? With his trademark accessibility and comprehensiveness, Diamond documents how environmental damage, climate change, loss of friendly contacts and the rise of hostile ones, and the unique political, economic, and social settings of prehistoric Greenland combine to demonstrate exactly why and how societies choose to fail or succeed. Jared Diamond's latest book, "The World Until Yesterday: What Can We Learn from Traditional Societies?," is available from Viking.

    No human being who stood on her decks that fateful night was alive to commemorate the event on its 100th anniversary. Their stories are with us, however, and the lessons remain. From the moment the world learned the Titanic had sunk, we wanted to know, who had survived? Those answers didn’t come until the evening of Thursday, April 18, 1912―when the Cunard liner Carpathia finally reached New York with the 706 survivors who had been recovered from Titanic’s lifeboats. Harold Bride, “Titanic’s surviving wireless operator,” relayed the story of the ship’s band. “The way the band kept playing was a noble thing. I heard it first while still we were working wireless when there was a ragtime tune for us. The last I saw of the band, when I was floating out in the sea with my lifebelt on, it was still on deck playing ‘Autumn.’ How they ever did it I cannot imagine.” There were stories of heroism―such as that of Edith Evans, who was waiting to board collapsible Lifeboat D, the last boat to leave Titanic, when she turned to Caroline Brown and said, “You go first. You have children waiting at home.” The sacrifice cost Evans her life, but as Mrs. Brown said later, “It was a heroic sacrifice, and as long as I live I shall hold her memory dear as my preserver, who preferred to die so that I might live.” There was mystery. There was bravery. There was suspense. There was cowardice. Most men who survived found themselves trying to explain how they survived when women and children had died. But mostly, there was loss. On her return to New York after picking up Titanic’s survivors, Carpathia had become known as a ship of widows. Rene Harris, who lost her husband, Broadway producer Henry Harris, in the disaster, later spoke of her loss when she said, “It was not a night to remember. It was a night to forget.” Drawing on a wealth of previously unpublished letters, memoirs, and diaries as well as interviews with survivors and family members, veteran author and writer Alan Rockwell brings to life the colorful voices and the harrowing experiences of many of those who lived to tell their story. More than 100 years after the RMS Titanic met its fatal end, the story of the tragic wreck continues to fascinate people worldwide. Though many survivors and their family members disappeared into obscurity or were hesitant to talk about what they went through, others were willing to share their experiences during the wreck and in its aftermath. This book recounts many of these first-hand accounts in graphic, compelling detail.

    Every flower you pick contains atoms blasted into space by stellar explosions that blazed brighter than a billion suns. Thus begins The Magic Furnace, an eloquent, extraordinary account of how scientists unraveled the mystery of atoms, and helped to explain the dawn of life itself. The historic search for atoms and their stellar origins is truly one of the greatest detective stories of science. In effect, it offers two epics intertwined: the birth of atoms in the Big Bang and the evolution of stars and how they work. Neither could be told without the other, for the stars contain the key to unlocking the secret of atoms, and the atoms the solution to the secret of the stars. Marcus Chown leads readers through the major theories and experiments that propelled the search for atomic understanding, with engaging characterizations of the major atomic thinkers-from Democritus in ancient Greece to Binning and Rohrer in twentieth-century New York. He clarifies the science, explaining with enthusiasm the sequence of breakthroughs that proved the existence of atoms as the alphabet of nature and the discovery of subatomic particles and atomic energy potential. From there, he engagingly chronicles the leaps of insight that eventually revealed the elements, the universe, our world, and ourselves to be a product of two ultimate furnaces: the explosion of the Big Bang and the interior of stars such as supernovae and red giants. Chown successfully makes these massive concepts accessible for students, professionals, and science enthusiasts. His story sheds light on all of us, for in essence, we are all stardust.

    Thomas Young devised it in the early 1800s to show that light behaves like a wave, and in doing so opposed Isaac Newton. Nearly a century later, Albert Einstein showed that light comes in quanta, or particles, and the experiment became key to a fierce debate between Einstein and Niels Bohr over the nature of reality. Richard Feynman held that the double slit embodies the central mystery of the quantum world. Decade after decade, hypothesis after hypothesis, scientists have returned to this ingenious experiment to help them answer deeper and deeper questions about the fabric of the universe.How can a single particle behave both like a particle and a wave? Does a particle exist before we look at it, or does the very act of looking create reality? Are there hidden aspects to reality missing from the orthodox view of quantum physics? Is there a place where the quantum world ends and the familiar classical world of our daily lives begins, and if so, can we find it? And if there's no such place, then does the universe split into two each time a particle goes through the double slit?With his extraordinarily gifted eloquence, Anil Ananthaswamy travels around the world and through history, down to the smallest scales of physical reality we have yet fathomed. Through Two Doors at Once is the most fantastic voyage you can take.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    For more than two centuries, our understanding of the laws of nature expanded rapidly. But today, despite our best efforts, we know nothing more about these laws than we knew in the 1970s. Why is physics suddenly in trouble? And what can we do about it?One of the major problems, according to Smolin, is string theory: an ambitious attempt to formulate a “theory of everything” that explains all the particles and forces of nature and how the universe came to be. With its exotic new particles and parallel universes, string theory has captured the public’s imagination and seduced many physicists.But as Smolin reveals, there’s a deep flaw in the theory: no part of it has been tested, and no one knows how to test it. In fact, the theory appears to come in an infinite number of versions, meaning that no experiment will ever be able to prove it false. As a scientific theory, it fails. And because it has soaked up the lion’s share of funding, attracted some of the best minds, and effectively penalized young physicists for pursuing other avenues, it is dragging the rest of physics down with it.With clarity, passion, and authority, Smolin charts the rise and fall of string theory and takes a fascinating look at what will replace it. A group of young theorists has begun to develop exciting ideas that, unlike string theory, are testable. Smolin not only tells us who and what to watch for in the coming years, he offers novel solutions for seeking out and nurturing the best new talent—giving us a chance, at long last, of finding the next Einstein.

    The Structure of Scientific Revolutions is that kind of book. When it was first published in 1962, it was a landmark event in the history and philosophy of science. Fifty years later, it still has many lessons to teach. With The Structure of Scientific Revolutions, Kuhn challenged long-standing linear notions of scientific progress, arguing that transformative ideas don’t arise from the day-to-day, gradual process of experimentation and data accumulation but that the revolutions in science, those breakthrough moments that disrupt accepted thinking and offer unanticipated ideas, occur outside of “normal science,” as he called it. Though Kuhn was writing when physics ruled the sciences, his ideas on how scientific revolutions bring order to the anomalies that amass over time in research experiments are still instructive in our biotech age. This new edition of Kuhn’s essential work in the history of science includes an insightful introduction by Ian Hacking, which clarifies terms popularized by Kuhn, including paradigm and incommensurability, and applies Kuhn’s ideas to the science of today. Usefully keyed to the separate sections of the book, Hacking’s introduction provides important background information as well as a contemporary context.  Newly designed, with an expanded index, this edition will be eagerly welcomed by the next generation of readers seeking to understand the history of our perspectives on science.

    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

    It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.

    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.

    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.

    Half a century later, only robots have been to the Red Planet and our astronauts rarely venture beyond Earth orbit.Now Mars is back With everyone from Elon Musk to Ridley Scott and Donald Trump talking about it, interplanetary exploration is back on the agenda and Mars is once again the prime destination for future human expansion and colonisation. In Destination Mars, astrophysicist and science writer Andrew May traces the history of our fascination with the Red Planet and explores the science upon which a crewed mission would be based, from assembling a spacecraft in Earth orbit to surviving solar storms. With expert insight, he analyses the new space race and assesses what the future holds for human life on Mars.

    Annotation copyright Book News, Inc. Portland, Or.

    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.