Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    It is a tale vividly told by renowned archaeology author, Brian Fagan, with characters that include the ancient historian Herodotus; Theban tomb robbers; obelisk-stealing Romans; Coptic Christians determined to erase the heretical past; mummy traders; leisured antiquarians; major European museums; Giovanni Belzoni, a circus strongman who removed more antiquities than Napoleon's armies; shrewd consuls and ruthless pashas; and archaeologists such Sir Flinders Petrie who changed the course of Egyptology. This is the first thoroughly revised edition of The Rape of the Nile - Fagan's classic account of the cavalcade of archaeologists, thieves, and sightseers who have flocked to the Nile Valley since ancient times. Featured in this edition are new accounts of stunning recent discoveries, including the Royal Tombs of Tanis, the Valley of Golden Mummies at Bahariya, the Tomb of the Sons of Ramses, and the sunken city of Alexandria (whose lighthouse was one of the Seven Wonders of the Ancient World). Fagan concludes with a clear-eyed assessment of the impact of modern mass tourism on archaeological sites and artifacts.

    Over thirty years ago, the man who did such important, pioneering work in Kon-Tiki wrote another best-selling book, Aku-Aku, about Easter Island. More recently, Heyerdahl was invited to return to Easter Island and there confronted the conundrum of the famous, haunting statues that stud the lovely island, massive and mysterious.How were they made? How were they moved? What did the natives mean when they had said, those many years earlier, that "the statues walked"? Who made them--and where did the Easter Islanders themselves come from? What did earlier visitors discover--or believe?It is characteristic of Dr. Heyerdahl's many explorations that his research, his theories, his conclusions all are entwined with objectives greater than mere adventure. Just as his expeditions have been partly in pursuit and proof of his theories that early man traveled further (and faster) than others had previously suspected, and that the peoples of many cultures can work together peacefully, his probes into the past are coupled with an enduring, endearing conviction--never before displayed better than in this volume--that just as we must avoid prejudice in the present, we should not look down on the people of the past--for they and we have more in common than it might seem.

    Russian has separate terms for dark and light blue. Does this mean that Russians perceive these colors differently from Japanese people? Does language control and limit the way we think, such that each language gives its speakers a different "worldview"?This short, opinionated book addresses the Sapir-Whorf hypothesis, which argues that the language we speak shapes the way we perceive the world. Linguist John McWhorter argues that while this idea is mesmerizing, it is plainly wrong. Cultural differences are quite real. However, the way languages' grammar world, and the random ways that their vocabularies happen to describe the world—whether time is expresses with vertical expressions instead of horizontal ones, whether a language happens to have a word for stick out or wipe—do not correspond to its speakers' experience of living. The fact that a language has only one word for eat, drink and smoke—as many do— doesn't mean its speakers don't process the differences between food and beverages as vividly as other people, and those who use the same word for blue and green perceive those two colors just as vividly as others do. McWhorter shows not only how the idea of language as a lens fails but also why we want so badly to believe it: we're eager to celebrate diversity by acknowledging the intelligence of peoples who may not think like we do. Though well-intentioned, our belief in this idea poses an obstacle to a better understanding of human nature and even trivializes the people we seek to celebrate. The reality—that all humans think alike—provides another, better way for us to acknowledge the intelligence of all peoples.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

    Lavishly illustrated with engravings, woodcuts, and original drawings and diagrams, Sciencia will inspire readers of all ages to take an interest in the interconnected knowledge of the modern sciences.Beautifully produced in thirteen different colors of ink, Sciencia is an essential reference and an elegant gift.Wooden Books was founded in 1999 by designer John Martineau near Hay-on-Wye. The aim was to produce a beautiful series of recycled books based on the classical philosophies, arts and sciences. Using the Beatrix Potter formula of text facing picture pages, and old-styles fonts, along with hand-drawn illustrations and 19th century engravings, the books are designed not to date. Small but stuffed with information. Eco friendly and educational. Big ideas in a tiny space. There are over 1,000,000 Wooden Books now in print worldwide and growing.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    Why does music evoke such powerful moods? The answers are at last be- coming clear, thanks to revolutionary neuroscience and the emerging field of evolutionary psychology. Both a cutting-edge study and a tribute to the beauty of music itself, This Is Your Brain on Music unravels a host of mysteries that affect everything from pop culture to our understanding of human nature, including: • Are our musical preferences shaped in utero? • Is there a cutoff point for acquiring new tastes in music? • What do PET scans and MRIs reveal about the brain’s response to music? • Is musical pleasure different from other kinds of pleasure?This Is Your Brain on Music explores cultures in which singing is considered an essential human function, patients who have a rare disorder that prevents them from making sense of music, and scientists studying why two people may not have the same definition of pitch. At every turn, this provocative work unlocks deep secrets about how nature and nurture forge a uniquely human obsession.

    Poetry, patterns like Pascal's triangle, philosophy, psychology, music, and dozens of simple mathematical figures are enlisted to show that the "divine proportion" or "golden ratio" is a feature of geometry and analysis which awakes answering echoes in the human psyche. When we judge a work of art aesthetically satisfying, according to his formulation, we are making it conform to a pattern whose outline is laid down in simple geometrical figures; and it is the analysis of these figures which forms the core of Professor Huntley's book.For the philosopher, scientist, poet, art historian, music listener, artist, as well as the general reader who wants to understand more about the fascinating properties of numbers, this is a beautifully written, exciting account of the search for a naturally manifested aesthetic that has occupied man since he first asked the question "why?""This is a delightful book to read. . . . It wanders here and there through some of the most attractive byways of simple mathematics, returning always to the oddities and pleasures of the golden section. This is a browser's book — a happy, untidy traveling or bedside book for those who know how to enjoy the charm of numbers and shapes." — Dr. J. Bronowski, The Salk Institute.

    Using translation as his lens, David Bellos shows how much we can learn about ourselves by exploring the ways we use translation, from the historical roots of written language to the stylistic choices of Ingmar Bergman, from the United Nations General Assembly to the significance of James Cameron's Avatar.Is That a Fish in Your Ear? ranges across human experience to describe why translation sits deep within us all, and why we need it in so many situations, from the spread of religion to our appreciation of literature; indeed, Bellos claims that all writers are by definition translators. Written with joie de vivre, reveling both in misunderstanding and communication, littered with wonderful asides, it promises any reader new eyes through which to understand the world. In the words of Bellos: "The practice of translation rests on two presuppositions. The first is that we are all different: we speak different tongues, and see the world in ways that are deeply influenced by the particular features of the tongue that we speak. The second is that we are all the same—that we can share the same broad and narrow kinds of feelings, information, understandings, and so forth. Without both of these suppositions, translation could not exist. Nor could anything we would like to call social life. Translation is another name for the human condition."