The Poincare Conjecture
The Poincare Conjecture

Author: Donal O'Shea

Publisher: Bloomsbury Publishing USA

Published: 2009-05-26

Total Pages: 306

ISBN-13: 0802718949

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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.

Conjectures of Order
Conjectures of Order

Author: Michael O'Brien

Publisher: Univ of North Carolina Press

Published: 2004-03-01

Total Pages: 800

ISBN-13: 9780807828007

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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.

The Shape of a Life
The Shape of a Life

Author: Shing-Tung Yau

Publisher: Yale University Press

Published: 2019-02-19

Total Pages: 449

ISBN-13: 0300245521

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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

Proofs and Refutations
Proofs and Refutations

Author: Imre Lakatos

Publisher: Cambridge University Press

Published: 1976

Total Pages: 190

ISBN-13: 9780521290388

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Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.

Conjectures and Refutations
Conjectures and Refutations

Author: Karl Raimund Popper

Publisher: Psychology Press

Published: 2002

Total Pages: 614

ISBN-13: 9780415285940

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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.

Ladies
Ladies

Author: Feather Schwartz Foster

Publisher: Publishamerica Incorporated

Published: 2003-08-05

Total Pages: 256

ISBN-13: 9781592863617

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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.

Uncle Petros and Goldbach's Conjecture
Uncle Petros and Goldbach's Conjecture

Author: Apostolos Doxiadis

Publisher: Faber & Faber

Published: 2012-11-15

Total Pages: 148

ISBN-13: 057129569X

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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.

The Art of Conjecture
The Art of Conjecture

Author: Clyde Lee Miller

Publisher: CUA Press

Published: 2021-03-12

Total Pages: 206

ISBN-13: 0813234166

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“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.

The Science of Conjecture
The Science of Conjecture

Author: James Franklin

Publisher: JHU Press

Published: 2015-08-01

Total Pages: 807

ISBN-13: 1421418819

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How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.