Poincares Prize

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Poincare's Prize

Author : George G. Szpiro
Publisher : Penguin
ISBN 13 : 1440634289
Total Pages : 324 pages
Book Rating : 4.4/5 (46 download)

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Book Synopsis Poincare's Prize by : George G. Szpiro

Download or read book Poincare's Prize written by George G. Szpiro and published by Penguin. This book was released on 2008-07-29 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Poincare's Prize

Author : George G. Szpiro
Publisher : Penguin
ISBN 13 : 0452289645
Total Pages : 321 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Poincare's Prize by : George G. Szpiro

Download or read book Poincare's Prize written by George G. Szpiro and published by Penguin. This book was released on 2008-07-29 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Poincare and the Three Body Problem

Author : June Barrow-Green
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803677
Total Pages : 294 pages
Book Rating : 4.8/5 (36 download)

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Book Synopsis Poincare and the Three Body Problem by : June Barrow-Green

Download or read book Poincare and the Three Body Problem written by June Barrow-Green and published by American Mathematical Soc.. This book was released on 1997 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.

The Poincare Conjecture

Author : Donal O'Shea
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802718949
Total Pages : 306 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis The Poincare Conjecture by : Donal O'Shea

Download or read book The Poincare Conjecture written by Donal O'Shea and published by Bloomsbury Publishing USA. This book was released on 2009-05-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Poincare's Prize

Author : George G. Szpiro
Publisher :
ISBN 13 : 9781322835686
Total Pages : pages
Book Rating : 4.8/5 (356 download)

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Book Synopsis Poincare's Prize by : George G. Szpiro

Download or read book Poincare's Prize written by George G. Szpiro and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ricci Flow and the Poincare Conjecture

Author : John W. Morgan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821843284
Total Pages : 586 pages
Book Rating : 4.8/5 (432 download)

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Book Synopsis Ricci Flow and the Poincare Conjecture by : John W. Morgan

Download or read book Ricci Flow and the Poincare Conjecture written by John W. Morgan and published by American Mathematical Soc.. This book was released on 2007 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: For over 100 years the Poincare Conjecture, which proposes a topological characterization of the 3-sphere, has been the central question in topology. Since its formulation, it has been repeatedly attacked, without success, using various topological methods. Its importance and difficulty were highlighted when it was chosen as one of the Clay Mathematics Institute's seven Millennium Prize Problems. in 2002 and 2003 Grigory Perelman posted three preprints showing how to use geometric arguments, in particular the Ricci flow as introduced and studied by Hamilton, to establish the Poincare Conjecture in the affirmative. This book provides full details of a complete proof of the Poincare Conjecture following Perelman's three preprints. After a lengthy introduction that outlines the entire argument, the book is divided into four parts. The first part reviews necessary results from Riemannian geometry and Ricci flow, including much of Hamilton's work. The second part starts with Perelman's length function, which is used to establish crucial non-collapsing theorems. Then it discusses the classification of non-collapsed, ancient solutions to the Ricci flow equation. The third part concerns the existence of Ricci flow with surgery for all positive time and an analysis of the topological and geometric changes introduced by surgery. The last part follows Perelman's third preprint to prove that when the initial Riemannian 3-manifold has finite fundamental group, Ricci flow with surgery becomes extinct after finite time. The proofs of the Poincare Conjecture and the closely related 3-dimensional spherical space-form conjectu The existence of Ricci flow with surgery has application to 3-manifolds far beyond the Poincare Conjecture. It forms the heart of the proof via Ricci flow of Thurston's Geometrization Conjecture. Thurston's Geometrization Conjecture, which classifies all compact 3-manifolds, will be the subject of a follow-up article. The organization of the material in this book differs from that given by Perelman. From the beginning the authors present all analytic and geometric arguments in the context of Ricci flow with surgery. in addition, the fourth part is a much-expanded version of Perelman's third preprint; it gives the first complete and detailed proof of the finite-time extinction theorem. With the large amount of background material that is presented and the detailed versions of the central arguments, this book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology. Clay Mathematics Institute Monograph Series The Clay Mathematics Institute Monograph Series publishes selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas. Information for our distributors: Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Poincaré's Prize

Author : George Szpiro
Publisher : Dutton Books
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Poincaré's Prize by : George Szpiro

Download or read book Poincaré's Prize written by George Szpiro and published by Dutton Books. This book was released on 2007 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a reclusive and eccentric hero, dramatic turns, and a million-dollar payoff, Poincare's Prize is the stuff of great fiction. Amazingly, the story unveiled in it is true. >In the world of math, the Poincare Conjecture was a holy grail. Decade after decade the theorem that informs how we understand the shape of the universe defied every effort to prove it. Now, after more than a century, an eccentric Russian recluse has found the solution to one of the seven greatest math problems of our time, earning the right to claim the first one-million-dollar Millennium math prize. >George Szpiro begins his masterfully told story in 1904 when Frenchman Henri Poincare formulated a conjecture about a seemingly simple problem. Imagine an ant crawling around on a large surface. How would it know whether the surface is a flat plane, a round sphere, or a bagel- shaped object? The ant would need to lift off into space to observe the object. How could you prove the shape was spherical without actually seeing it? Simply, this is what Poincare sought to solve.

Einstein's Clocks, Poincare's Maps: Empires of Time

Author : Peter Galison
Publisher : W. W. Norton & Company
ISBN 13 : 0393243869
Total Pages : 400 pages
Book Rating : 4.3/5 (932 download)

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Book Synopsis Einstein's Clocks, Poincare's Maps: Empires of Time by : Peter Galison

Download or read book Einstein's Clocks, Poincare's Maps: Empires of Time written by Peter Galison and published by W. W. Norton & Company. This book was released on 2004-09-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "More than a history of science; it is a tour de force in the genre."—New York Times Book Review A dramatic new account of the parallel quests to harness time that culminated in the revolutionary science of relativity, Einstein's Clocks, Poincaré's Maps is "part history, part science, part adventure, part biography, part meditation on the meaning of modernity....In Galison's telling of science, the meters and wires and epoxy and solder come alive as characters, along with physicists, engineers, technicians and others....Galison has unearthed fascinating material" (New York Times). Clocks and trains, telegraphs and colonial conquest: the challenges of the late nineteenth century were an indispensable real-world background to the enormous theoretical breakthrough of relativity. And two giants at the foundations of modern science were converging, step-by-step, on the answer: Albert Einstein, an young, obscure German physicist experimenting with measuring time using telegraph networks and with the coordination of clocks at train stations; and the renowned mathematician Henri Poincaré, president of the French Bureau of Longitude, mapping time coordinates across continents. Each found that to understand the newly global world, he had to determine whether there existed a pure time in which simultaneity was absolute or whether time was relative. Esteemed historian of science Peter Galison has culled new information from rarely seen photographs, forgotten patents, and unexplored archives to tell the fascinating story of two scientists whose concrete, professional preoccupations engaged them in a silent race toward a theory that would conquer the empire of time.

Henri Poincaré

Author : Jeremy Gray
Publisher : Princeton University Press
ISBN 13 : 0691242038
Total Pages : 608 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Henri Poincaré by : Jeremy Gray

Download or read book Henri Poincaré written by Jeremy Gray and published by Princeton University Press. This book was released on 2022-12-13 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré Henri Poincaré (1854–1912) was not just one of the most inventive, versatile, and productive mathematicians of all time—he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first in-depth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was wide-ranging and permanent. His novel interpretation of non-Euclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France. Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world.

Poincare's Legacies, Part II

Author : Terence Tao
Publisher : American Mathematical Soc.
ISBN 13 : 0821848852
Total Pages : 305 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Poincare's Legacies, Part II by : Terence Tao

Download or read book Poincare's Legacies, Part II written by Terence Tao and published by American Mathematical Soc.. This book was released on 2009 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on geometry, topology, and partial differential equations. This book discusses a variety of topics, including expository articles on topics such as gauge theory, the Kakeya needle problem, and the Black-Scholes equation. It is suitable for graduate students and research mathematicians interested in broad exposure to mathematical topics.

Celestial Encounters

Author : Florin Diacu
Publisher : Princeton University Press
ISBN 13 : 9780691005454
Total Pages : 258 pages
Book Rating : 4.0/5 (54 download)

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Book Synopsis Celestial Encounters by : Florin Diacu

Download or read book Celestial Encounters written by Florin Diacu and published by Princeton University Press. This book was released on 1999-03-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Encounters traces the history of attempts to solve the problem of celestial mechanics first posited in Isaac Newton's Principia in 1686. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it. 23 halftones. 64 line illustrations.

Perfect Rigour

Author : Masha Gessen
Publisher : Icon Books Ltd
ISBN 13 : 1848313098
Total Pages : 119 pages
Book Rating : 4.8/5 (483 download)

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Book Synopsis Perfect Rigour by : Masha Gessen

Download or read book Perfect Rigour written by Masha Gessen and published by Icon Books Ltd. This book was released on 2011-03-03 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Millennium Prize Problems

Author : James Carlson
Publisher : American Mathematical Society, Clay Mathematics Institute
ISBN 13 : 1470474603
Total Pages : 185 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Millennium Prize Problems by : James Carlson

Download or read book The Millennium Prize Problems written by James Carlson and published by American Mathematical Society, Clay Mathematics Institute. This book was released on 2023-09-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.

All Cry Chaos

Author : Leonard Rosen
Publisher : Permanent Press (NY)
ISBN 13 : 9781579624651
Total Pages : 334 pages
Book Rating : 4.6/5 (246 download)

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Book Synopsis All Cry Chaos by : Leonard Rosen

Download or read book All Cry Chaos written by Leonard Rosen and published by Permanent Press (NY). This book was released on 2011-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: All Cry Chaos, a debut thriller by the immensely gifted Leonard Rosen, is a masterful and gripping tale that literally reaches for the heavens. The action begins when mathematician James Fenster is assassinated on the eve of a long-scheduled speech at a World Trade Organization meeting. The hit is as elegant as it is bizarre. Fenster's Amsterdam hotel room is incinerated, yet the rest of the building remains intact. The murder trail leads veteran Interpol agent Henri Poincare on a high-stakes, world-crossing quest for answers. Together with his chain-smoking, bon vivant colleague Serge Laurent, Poincare pursues a long list of suspects: the Peruvian leader of the Indigenous Liberation Front, Rapture-crazed militants, a hedge fund director, Fenster's elusive ex-fiance, and a graduate student in mathematics. Poincare begins to make progress in America, but there is a prodigious hatred trained on him --some unfinished business from a terrifying former genocide case-- and he is called back to Europe to face the unfathomable. Stripped down and in despair, tested like Job, he realizes the two cases might be connected and he might be the link.

The Value of Science

Author : Henri Poincaré
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Value of Science by : Henri Poincaré

Download or read book The Value of Science written by Henri Poincaré and published by . This book was released on 1958 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jules Henri Poincaré was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist," since he excelled in all fields of the discipline as it existed during his lifetime.

Numbers Rule

Author : George Szpiro
Publisher : Princeton University Press
ISBN 13 : 0691209081
Total Pages : 240 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Numbers Rule by : George Szpiro

Download or read book Numbers Rule written by George Szpiro and published by Princeton University Press. This book was released on 2020-11-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.

Papers on Topology

Author : Henri Poincar\'e
Publisher : American Mathematical Soc.
ISBN 13 : 0821852345
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Papers on Topology by : Henri Poincar\'e

Download or read book Papers on Topology written by Henri Poincar\'e and published by American Mathematical Soc.. This book was released on 2010 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: I am a proud owner of the original complete works in green leather in French bought for a princely sum in Paris around 1975. I have read in them exten-sively, and often during topology lectures I refer to parts of these works. I am happy that there is now the option for my students to read them in English---Dennis Sullivan --Book Jacket.