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Author: Philippe Zaouati
Publisher: American Mathematical Soc.
ISBN: 1470463040
Category : Education
Languages : en
Pages : 145
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Book Description
November 11, 2002: Grigori Perelman, a famous mathematician, brilliantly establishes his proof of the Poincaré Conjecture. A few years later, he is widely acclaimed for his research. However, he declines the prestigious Fields Medal and persists in not wanting to leave his native city of Saint Petersburg to attend the International Congress of Mathematicians in Madrid in 2006 where the medal is supposed to be awarded. John Ball, the President of the International Mathematical Union, decided to visit Russia in an attempt to convince Perelman to accept the Fields Medal. This book contains the story, part real, part fictional, of the exchanges between Ball and Perelman. We are immersed in the tormented mind of a person who prefers the simple and secluded life to the prestige of his discoveries. We already know the final outcome of the story, Perelman's perpetual refusal to be glorified by the public, and yet there is still much to learn from this character of astonishing complexity.
Author: Philippe Zaouati
Publisher: American Mathematical Soc.
ISBN: 1470463040
Category : Education
Languages : en
Pages : 145
Get Book Here
Book Description
November 11, 2002: Grigori Perelman, a famous mathematician, brilliantly establishes his proof of the Poincaré Conjecture. A few years later, he is widely acclaimed for his research. However, he declines the prestigious Fields Medal and persists in not wanting to leave his native city of Saint Petersburg to attend the International Congress of Mathematicians in Madrid in 2006 where the medal is supposed to be awarded. John Ball, the President of the International Mathematical Union, decided to visit Russia in an attempt to convince Perelman to accept the Fields Medal. This book contains the story, part real, part fictional, of the exchanges between Ball and Perelman. We are immersed in the tormented mind of a person who prefers the simple and secluded life to the prestige of his discoveries. We already know the final outcome of the story, Perelman's perpetual refusal to be glorified by the public, and yet there is still much to learn from this character of astonishing complexity.
Author: Masha Gessen
Publisher: Icon Books Ltd
ISBN: 1848313098
Category : Biography & Autobiography
Languages : en
Pages : 119
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Book Description
In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 2000, the Clay Institute in Boston named it one of seven great unsolved mathematical problems, and promised a million dollars to anyone who could find a solution. Perelman was awarded the prize this year - and declined the money. Journalist Masha Gessen was determined to find out why. Drawing on interviews with Perelman's teachers, classmates, coaches, teammates, and colleagues in Russia and the US - and informed by her own background as a math whiz raised in Russia - she set out to uncover the nature of Perelman's astonishing abilities. In telling his story, Masha Gessen has constructed a gripping and tragic tale that sheds rare light on the unique burden of genius.
Author: Donal O'Shea
Publisher: Penguin UK
ISBN: 0141900342
Category : Science
Languages : en
Pages : 284
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Book Description
The Poincaré Conjecture tells the story behind one of the world’s most confounding mathematical theories. Formulated in 1904 by Henri Poincaré, his Conjecture promised to describe the very shape of the universe, but remained unproved until a huge prize was offered for its solution in 2000. Six years later, an eccentric Russian mathematician had the answer. Here, Donal O’Shea explains the maths behind the Conjecture and its proof, and illuminates the curious personalities surrounding this perplexing conundrum, along the way taking in a grand sweep of scientific history from the ancient Greeks to Christopher Columbus. This is an enthralling tale of human endeavour, intellectual brilliance and the thrill of discovery.
Author: George G. Szpiro
Publisher: Penguin
ISBN: 1440634289
Category : Mathematics
Languages : en
Pages : 321
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Book Description
The amazing story of one of the greatest math problems of all time and the reclusive genius who solved it In the tradition of Fermat’s Enigma and Prime Obsession, George Szpiro brings to life the giants of mathematics who struggled to prove a theorem for a century and the mysterious man from St. Petersburg, Grigory Perelman, who fi nally accomplished the impossible. In 1904 Henri Poincaré developed the Poincaré Conjecture, an attempt to understand higher-dimensional space and possibly the shape of the universe. The problem was he couldn’t prove it. A century later it was named a Millennium Prize problem, one of the seven hardest problems we can imagine. Now this holy grail of mathematics has been found. Accessibly interweaving history and math, Szpiro captures the passion, frustration, and excitement of the hunt, and provides a fascinating portrait of a contemporary noble-genius.
Author: John Schilb
Publisher: SIU Press
ISBN: 9780809327898
Category : Language Arts & Disciplines
Languages : en
Pages : 228
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Book Description
The first book to explore rhetorical refusals—instances in which speakers and writers deliberately flout the conventions of rhetoric and defy their audiences’ expectations— Rhetorical Refusals: Defying Audiences’ Expectations challenges the reader to view these acts of academic rebellion as worthy of deeper analysis than they are commonly accorded, as rhetorical refusals can simultaneously reveal unspoken assumptions behind the very conventions they challenge, while also presenting new rhetorical strategies. Through a series of case studies, John Schilb demonstrates the deeper meanings contained within rhetorical refusals: when dance critic Arlene Croce refused to see a production that she wrote about; when historian Deborah Lipstadt declined to debate Holocaust deniers; when President Bill Clinton denied a grand jury answers to their questions; and when Frederick Douglass refused to praise Abraham Lincoln unequivocally. Each of these unexpected strategies revealed issues of much greater importance than the subjects at hand. By carefully laying out an underlying framework with which to evaluate these acts, Schilb shows that they can variously point to the undue privilege of authority; the ownership of truth; the illusory divide between public and private lives; and the subjectivity of honor. According to Schilb, rhetorical refusals have the potential to help political discourse become more inventive. To demonstrate this potential, Schilb looks at some notable cases in which invitations have led to unexpected results: comedian Stephen Colbert’s brazen performance at the White House Press Association dinner; poet Sharon Olds’s refusal to attend the White House Book Fair, and activist Cindy Sheehan’s display of an anti-war message at the 2006 State of the Union Address. Rhetorical Refusals explores rhetorical theories in accessible language without sacrificing complexity and nuance, revealing the unspoken implications of unexpected deviations from rhetorical norms for classic political concepts like free debate and national memory. With case studies taken from art, politics, literature, and history, this book will appeal to scholars and students of English, communication studies, and history.
Author: Lance Fortnow
Publisher: Princeton University Press
ISBN: 0691175780
Category : Computers
Languages : en
Pages : 188
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Book Description
The computer science problem whose solution could transform life as we know it The P-NP problem is the most important open problem in computer science, if not all of mathematics. Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.
Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847653510
Category : Mathematics
Languages : en
Pages : 468
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Book Description
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.
Author: John Morgan
Publisher: American Mathematical Soc.
ISBN: 0821852019
Category : Mathematics
Languages : en
Pages : 306
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Book Description
This book gives a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces, i.e., 3-manifolds with locally homogeneous metrics of finite volume. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. The first half of the book is devoted to showing that these limits divide naturally along incompressible tori into pieces on which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of the book is devoted to showing that the latter pieces are themselves geometric. This is established by showing that the Gromov-Hausdorff limits of sequences of more and more locally volume collapsed 3-manifolds are Alexandrov spaces of dimension at most 2 and then classifying these Alexandrov spaces. In the course of proving the geometrization conjecture, the authors provide an overview of the main results about Ricci flows with surgery on 3-dimensional manifolds, introducing the reader to this difficult material. The book also includes an elementary introduction to Gromov-Hausdorff limits and to the basics of the theory of Alexandrov spaces. In addition, a complete picture of the local structure of Alexandrov surfaces is developed. All of these important topics are of independent interest. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
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: Michael Dirda
Publisher: Houghton Mifflin Harcourt
ISBN: 9780156033855
Category : Fiction
Languages : en
Pages : 356
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Book Description
In these delightful essays, Pulitzer Prize winner Dirda introduces nearly 90 of the world's most entertaining books, covering masterpieces of fantasy, science fiction, horror, adventure, epics, history, and children's literature.
