Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the humanist idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

    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.

    Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems. The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, Euler's formula will still be beautiful and stunning and untarnished by time.

    Born in Iran and educated in France, his works were influenced by the sense of alienation and self-destruction that pervaded post-WWI European literary circles. He was also known as a gifted intellectual and essayist in his native country. His interest in Persian culture led him to detest the Arabization of Iran, and so he traveled to India to live among the Parsees, Zoroastrians whose ancestors had chosen to leave Iran rather than submit to conversion to Islam. It was in India, away from Iranian government censors and political pressures, that Hedayat finished the book that is widely considered his masterpiece, "The Blind Owl."This collection of essays and travelogues, the title of which can be translated as "Commentary on the Vohuman Hymn," reflects his experiences in India from 1936 until about 1941. It was written in the Zoroastrian Middle Persian and later translated into Modern Persian by the author.

    Hand argues that extraordinarily rare events are anything but. In fact, they’re commonplace. Not only that, we should all expect to experience a miracle roughly once every month.     But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of “miracle” is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough.     Together, these constitute Hand’s groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective.     An irresistible adventure into the laws behind “chance” moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it’s in the world of business and finance or you’re merely sitting in your backyard, tossing a ball into the air and wondering where it will land.

     Culture has yet to turn away from the mythology of the ancient Greeks, and this fact can be seen in various aspects of our modern life. Through various forms of entertainment, we come across themes and events depicted in Homer’s works of the Iliad and Odyssey. We find ourselves viewing and referencing the strength and trials of Heracles. We even find various parallels between the lives and myths of the ancient Greeks to our own modern world. The history of Greece herself cannot be separated by the mythology of its ancient peoples. From heroes such as Heracles and Perseus, to the underhanded dealings of gods and mortals alike, their story is one a creative attempt to understand the forces which dwell about us and within us. In this book you will find specific stories central to Greek mythology. This is a key into understanding the mindset, not only of these ancient peoples, but of our modern world as well. We may not subscribe as the Greeks did to these myths as factual accounts of historical events, however, these tales allegorically represent the things that humankind still endures and rejoices in. In this text, you will find the spirit of love, of nature, of war and of peace. These myths often deal with very blunt subject matter, as they were the dominant lens through which the world was viewed during much of ancient Greece. The research and writing involved in bringing you this collection of Greek mythology has been an absolute pleasure, and I hope that you are as fascinated in reading this as I was in putting it together. Here Is A Preview Of What You'll Learn... In the Beginning, There was Chaos The Titans’ Rule The Olympian Rule Hercules and the Twelve Labors Other Important Beings in Greek Mythology Greek Mythology and Homer’s Iliad and Odyssey Meet Your Roman Doppelgangers BONUS! Find Inside… and much more! Download Your Copy Today! The contents of this book are easily worth over $10. To order "Greek Mythology: Discovering Greek Mythology!", click the BUY button and download your copy right now! Tags: Greek Mythology, Mythology, Ancient Greece, Civilizations, Ancient Civilizations, Greece, Greeks, Titans, Gods, Zeus, Hercules, Greek Gods, Apollo, Athena, Gaia, Chaos, Uranus, Cyclops, Chronos, Tartarus, Olympia, Poseidon, Aphrodite, Metis, Hades

    At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.

    Focusing on the mysteries--romantic, scientific, literary--that engage the minds and hearts of characters whose passions and lives intersect across scientific planes and centuries, it is "Stoppard's richest, most ravishing comedy to date, a play of wit, intellect, language, brio and... emotion. It's like a dream of levitation: you're instantaneously aloft, soaring, banking, doing loop-the-loops and then, when you think you're about to plummet to earth, swooping to a gentle touchdown of not easily described sweetness and sorrow... Exhilarating" (Vincent Canby, The New York Times).

     RISE TO REBELLIONRise to Rebellion brilliantly brings to life the early days of the American Revolution, creating an unforgettable saga of the men who helped to forge the destiny of a nation—from idealistic attorney John Adams to audacious inventor and philosopher Benjamin Franklin. Shaara’s most impressive achievement reveals how philosophers became fighters, how ideas became their ammunition, and how a scattered group of colonies became the United States of America.  THE GLORIOUS CAUSEThe Glorious Cause brings the saga of victory and defeat full circle, from the stunning victory at Trenton to the British surrender at Yorktown—a moment that changed the history of the world. This dramatic concluding volume is a tribute to the amazing people who turned ideas into action and fought to declare themselves free.

    Product DescriptionPublishers Description:A Prohibition-era novel centering around the occurrence of a dust storm in southern Minnesota, Orchard of Dust follows the lives of a boy and his father as their town is invaded by a speakeasy.From the Back Cover:In the quiet born to the soil, the coming of a fresh generation quaked and rumbled as a people, displaced from their land, dreamed of once and tomorrow; they followed promised whispers of abundance through a desolation where men ripped at the land, wrenching what harvest the fields could spit until a protestation came against man, strangling the fields in dust; and this people broke their homes, shattering hearthstones against the collapsed shelter of forgotten desires that had turned to dead leaves.

    Directly in the ship’s path was the Sunshine Skyway Bridge--two ribbons of concrete, steel, and asphalt that crossed fifteen miles of open bay.  Suddenly, a violent weather cell reduced visibility to zero at the precise moment when Lerro attempted to direct the 20,000-ton vessel underneath the bridge. Unable to stop or see where he was going, Lerro drove the ship into a support pier; the main span splintered and collapsed 150 feet into the bay. Seven cars and a Greyhound bus fell over the broken edge and into the churning water below. Thirty-five people died.Skyway tells the entire story of this horrific event, from the circumstances that led up to it through the years-long legal proceedings that followed. Through personal interviews and extensive research, Bill DeYoung pieces together the harrowing moments of the collision, including the first-person accounts of witnesses and survivors. Among those whose lives were changed forever was Wesley MacIntire, the motorist whose truck ricocheted off the hull of the Summit Venture and sank. Although he was the lone survivor, MacIntire, like Lerro, was emotionally scarred and remained haunted by the tragedy for the rest of his life. Similarly, DeYoung details the downward spiral of Lerro’s life, his vilification in the days and weeks that followed the accident, and his obsession with the tragedy well into his painful last years. DeYoung also offers a history of the ill-fated bridge, from its construction in 1954, through the addition of a second parallel span in 1971, to its eventual replacement. He discusses the sinking of a Coast Guard cutter a mere three months before Skyway collapsed and the Department of Transportation’s dire warnings about the bridge’s condition. The result is a vividly detailed portrait of the rise and fall of a Florida landmark.

    Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements.Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin--who founded the famous Moscow School of Mathematics--were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite--and led to the founding of descriptive set theory.The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and -creativity.

    Our senses are not equipped to see the universe as it is, and routinely let us down in that quest—the world appears flat, the stars seem fixed in the heavens. That is why we invented math and science—the ultimate toolkit to explain how the world really works.In this book, mathematician Hannah Fry and geneticist Adam Rutherford investigate everyday mysteries (does your dog love you?) alongside the burning questions of time, space, and the origin of the universe. What will the end of the world look like, and when will it happen? What is time, and where does it come from? Approaching these questions and more with science and math rigorous and playful, Rutherford and Fry celebrate the weirdness of the cosmos, and reveal its secrets along the way.