The Poincare Conjecture PDF Download

Author: Donal O'Shea
Publisher: Bloomsbury Publishing USA
ISBN: 0802718949
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Henri Poincaré was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincaré conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point. Poincaré's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award. In telling the vibrant story of The Poincaré Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

Author: Shing-Tung Yau
Publisher: Yale University Press
ISBN: 0300245521
Category : Science
Languages : en
Pages : 449

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Book Description
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist

Author: Johanna Nicol Shields
Publisher: Cambridge University Press
ISBN: 1139510606
Category : History
Languages : en
Pages : 343

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Book Description
Before the Civil War, most Southern white people were as strongly committed to freedom for their kind as to slavery for African Americans. This study views that tragic reality through the lens of eight authors - representatives of a South that seemed, to them, destined for greatness but was, we know, on the brink of destruction. Exceptionally able and ambitious, these men and women won repute among the educated middle classes in the Southwest, South and the nation, even amid sectional tensions. Although they sometimes described liberty in the abstract, more often these authors discussed its practical significance: what it meant for people to make life's important choices freely and to be responsible for the results. They publicly insisted that freedom caused progress, but hidden doubts clouded this optimistic vision. Ultimately, their association with the oppression of slavery dimmed their hopes for human improvement, and fear distorted their responses to the sectional crisis.

Author: Michael O'Brien
Publisher: Univ of North Carolina Press
ISBN: 9780807828007
Category : History
Languages : en
Pages : 800

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Book Description
In this magisterial history of intellectual life, Michael O'Brien analyzes the lives and works of antebellum Southern thinkers and reintegrates the South into the larger tradition of American and European intellectual history. O'Brien finds that the evolution of Southern intellectual life paralleled and modified developments across the Atlantic by moving from a late Enlightenment sensibility to Romanticism and, lastly, to an early form of realism. Volume 1 describes the social underpinnings of the Southern intellect by examining patterns of travel and migration; the formation of ideas on race, gender, ethnicity, locality, and class; and the structures of discourse, expressed in manuscripts and print culture. In Volume 2, O'Brien looks at the genres that became characteristic of Southern thought. Throughout, he pays careful attention to the many individuals who fashioned the Southern mind, including John C. Calhoun, Louisa McCord, James Henley Thornwell, and George Fitzhugh. Placing the South in the larger tradition of American and European intellectual history while recovering the contributions of numerous influential thinkers and writers, O'Brien's masterwork demonstrates the sophistication and complexity of Southern intellectual life before 1860.

Author: Apostolos Doxiadis
Publisher: Faber & Faber
ISBN: 057129569X
Category : Fiction
Languages : en
Pages : 148

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Book Description
Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.

Author: Clyde Lee Miller
Publisher: CUA Press
ISBN: 0813234166
Category : Philosophy
Languages : en
Pages : 206

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Book Description
“Learned ignorance,” the recognition that God is beyond us and our knowing capacities is the theological concept for which Nicholas of Cusa is most famous. Despite God’s apparent absence Nicholas offers original ways to think about God that would unite his presence with his absence. He called these proposals “conjectures” (coniecturae). Conjecture and conjecturing are central to the methodology of Nicholas’s philosophical theology and to his thinking about human knowledge. By using concrete examples from the everyday life of his times as symbolic imagery Nicholas makes what we say about God imaginatively available and theoretically plausible. He called such conjectural symbols “aenigmata” (= “symbolic or ‘enigmatic’ conjectures”) because they partially clarify and likewise point to an exact truth that is beyond us. Novel and imaginative, Nicholas’s conjectural examples break with the traditional medieval Aristotelian examples and provide further evidence of his role as a figure bridging medieval and Renaissance thought. Following his earlier book, Reading Cusanus (The Catholic University of America Press, 2003), Clyde Lee Miller here examines and comments on the meaning of “conjecture” in Nicholas of Cusa. The Art of Conjecture: Nicholas of Cusa on Knowledge explores what Nicholas meant by conjecture and its import as demonstrated in his treatises and sermons. Beginning with Nicholas’ On Conjectures, Miller analyzes a series of conjectural symbols and proposals across Nicholas’s less frequently discussed texts and recently published sermons. This early Renaissance thinker offers an original and ground-breaking way of framing speculation in philosophical theology and more generally in philosophy itself.

Author: Karl Raimund Popper
Publisher: Psychology Press
ISBN: 9780415285940
Category : Knowledge, Theory of
Languages : en
Pages : 614

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Book Description
Conjectures and Refutations is one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history. It provides one of the clearest and most accessible statements of the fundamental idea that guided his work: not only our knowledge, but our aims and our standards, grow through an unending process of trial and error.

Author: Feather Schwartz Foster
Publisher: Publishamerica Incorporated
ISBN: 9781592863617
Category : Biography & Autobiography
Languages : en
Pages : 256

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Book Description
Ladies: A Conjecture of Personalities is a book of voices. First Ladies between Martha Washington and Mamie Eisenhower tell their own stories -- or, to be more exact, whatever they want -- in their own words and in their own styles. Ladies: A Conjecture of Personalities crosses boundaries between fact, conjecture, and, most importantly, centuries. Through dialogue-boxes, the ladies talk to each other across eternity, where anything is possible. The modern First Ladies, from Mrs. Kennedy through Mrs. Clinton, participate in commentary. They talk to the reader and they talk amongst themselves. And they sympathize, empathize, and quarrel amongst themselves. They talk about their husbands, their children, the White House, and the times they lived in. And, of course, politics. It's chatty. It's catty. It's fun. It's informative. It's a must-read for anyone interested in history.

Author: Avram Davidson
Publisher: Macmillan
ISBN: 076530760X
Category : Fiction
Languages : en
Pages : 321

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Book Description
* Where did Sinbad Sail? * Who Fired the Phoenix? * The Boy Who Cried Werewolf * The Great Rough Beast * Postscript on Prester John * The Secret of Hyperborea * What Gave All Those Mammoths Cold Feet? And many more--fictional? authoritative? fantastic? deadpan?--investigations into the real, the true...and the things that should be true PREFACE BY PETER S. BEAGLE ILLUSTRATED BY GEORGE BARR "Although the wombat is real and the dragon is not, nobody knows what a wombat looks like and everyone knows what a dragon looks like." Not a novel, not a book of short stories, Adventures in Unhistory is a book of the fantastic--a compendium of magisterial examinations of Mermaids, Mandrakes, and Mammoths; Dragons, Werewolves, and Unicorns; the Phoenix and the Roc; about places such as Sicily, Siberia, and the Moon; about heroic, sinister, and legendary persons such as Sindbad, and Aleister Crowley, and Prester John; and--revealed at last--the Secret of Hyperborea. The facts are here, the foundations behind rumors, legends, and the imaginations of generations of tale-spinners. But far from being dry recitals, these meditations, or lectures, or deadpan prose performances are as lively, as crazily inventive, as witty as the best fiction of the author, a writer praised by Gardner Dozois as "one of the great short story writers of our times." Who, on the subject of Dragons, could write coldly, dispassionately, guided only by logic? Certainly not Avram Davidson. Certain facts, these facts, deserve more than recitation; they deserve flourish, verve, gusto, style--the late, great Avram Davidson's unique voice. That prose which, in the words of Peter S. Beagle's Preface to this volume, "cries out to be read aloud."

Author: Nick Moschovakis
Publisher: Taylor & Francis
ISBN: 104009709X
Category : Literary Criticism
Languages : en
Pages : 182

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Book Description
This volume convenes eight noted scholars with varied positions at the interface of formal and historical literary criticism. The editors’ introduction—a far-reaching account of how both methods have intersected in studies of early modern English texts since the 1990s—is the first such survey in more than 15 years, making it invaluable to scholars entering this area. Three essays address foundational questions about genre, fictionality, and formlessness; five feature close readings of texts or passages ranging from the more canonical (Shakespeare, Herbert, Milton) to the less so (an official record of the 1604 Hampton Court Conference). For scholars and students alike, the book thus models a variety of ways both to conceptualize and to analyze the value of literature at the formal–historical interface. Encompassing drama, lyric, satirical and polemical prose, and metrical as well as rhetorical and logical forms, the collection closes with an afterword by theorist Caroline Levine.