The Millennium Prize Problems

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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.

The Millennium Prize Problems

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821836798
Total Pages : 192 pages
Book Rating : 4.8/5 (367 download)

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Book Synopsis The Millennium Prize Problems by : James A. Carlson

Download or read book The Millennium Prize Problems written by James A. Carlson and published by American Mathematical Soc.. This book was released on 2006 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: "On May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute announced the creation of a US$7 million prize fund for the solution of seven important classic problems that 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 gives the official description of each of the seven problems and the rules governing the prizes"--Information screen.

The Millennium Problems

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Publisher : Granta Books
ISBN 13 : 9781862077355
Total Pages : 237 pages
Book Rating : 4.0/5 (773 download)

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Book Synopsis The Millennium Problems by : Keith J. Devlin

Download or read book The Millennium Problems written by Keith J. Devlin and published by Granta Books. This book was released on 2005 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: Whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1million in prize money. They encompass many of the most fascinating areas of pure and applied mathematics, from topology and number theory to particle physics, cryptography, computing and even aircraft design. Keith Devlin describes here what the seven problems are, how they came about, and what they mean for mathematics and science. In the hands of Devlin, each Millennium Problem becomes a fascinating window onto the deepest questions in the field.

The Poincare Conjecture

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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.

"A Problem from Hell"

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Publisher : Basic Books
ISBN 13 : 0465050891
Total Pages : 573 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis "A Problem from Hell" by : Samantha Power

Download or read book "A Problem from Hell" written by Samantha Power and published by Basic Books. This book was released on 2013-05-14 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: From former UN Ambassador and author of the New York Times bestseller The Education of an Idealist Samantha Power, the Pulitzer Prize-winning book on America's repeated failure to stop genocides around the world In her prizewinning examination of the last century of American history, Samantha Power asks the haunting question: Why do American leaders who vow "never again" repeatedly fail to stop genocide? Power, a professor at the Harvard Kennedy School and the former US Ambassador to the United Nations, draws upon exclusive interviews with Washington's top policymakers, thousands of declassified documents, and her own reporting from modern killing fields to provide the answer. "A Problem from Hell" shows how decent Americans inside and outside government refused to get involved despite chilling warnings, and tells the stories of the courageous Americans who risked their careers and lives in an effort to get the United States to act. A modern classic and "an angry, brilliant, fiercely useful, absolutely essential book" (New Republic), "A Problem from Hell" has forever reshaped debates about American foreign policy. Winner of the Pulitzer Prize Winner of the Robert F. Kennedy Book Award Winner of the National Book Critics Circle Award Winner of the J. Anthony Lukas Book Prize Winner of the Anisfield-Wolf Book Award Winner of the Raphael Lemkin Award

Prime Obsession

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Publisher : Joseph Henry Press
ISBN 13 : 0309141257
Total Pages : 447 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Prime Obsession by : John Derbyshire

Download or read book Prime Obsession written by John Derbyshire and published by Joseph Henry Press. This book was released on 2003-04-15 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.

The Great Mathematical Problems

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Publisher : Profile Books
ISBN 13 : 1847653510
Total Pages : 468 pages
Book Rating : 4.8/5 (476 download)

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Book Synopsis The Great Mathematical Problems by : Ian Stewart

Download or read book The Great Mathematical Problems written by Ian Stewart and published by Profile Books. This book was released on 2013-03-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Poincare's Prize

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Publisher : Penguin
ISBN 13 : 1440634289
Total Pages : 321 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 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.

Sheep Won't Sleep

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Publisher : Holiday House
ISBN 13 : 0823439259
Total Pages : 18 pages
Book Rating : 4.8/5 (234 download)

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Book Synopsis Sheep Won't Sleep by : Judy Cox

Download or read book Sheep Won't Sleep written by Judy Cox and published by Holiday House. This book was released on 2017-08-15 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Counting sheep is supposed to help you sleep—but a room full of yaks, alpacas, and llamas would keep anyone awake in this counting book with a comical twist. Winner of the Mathical Book Prize! A glass of warm milk, reading, working on her knitting—nothing can help Clarissa get to sleep. When even counting sheep doesn't help her doze off, she tried pairs of alpacas instead. Two, four, six . . . then llamas by fives . . . then yaks by tens! But no one could sleep with a room full of bouncing, bleating, shedding animals. Determined to unravel her problem so she can get some sleep, Clarissa counts back down until she's all alone, and she can finally get some rest. Introducing addition and subtraction by ones, twos, fives, and tens, Sheep Won't Sleep is part bedtime story, part math practice— and the hilarious illustrations of spotted, striped, and plaid animals are sure to appeal to imaginative readers of all ages. A perfect-- and fun!-- way to introduce and reinforce counting in groups, this is sure to be a study- and bedtime favorite!

Challenging Problems in Algebra

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Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 296 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Challenging Problems in Algebra by : Alfred S. Posamentier

Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

The Mathematical Monthly

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Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis The Mathematical Monthly by :

Download or read book The Mathematical Monthly written by and published by . This book was released on 1859 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227.

The Mathematical Monthly

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Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Mathematical Monthly by : John Daniel Runkle

Download or read book The Mathematical Monthly written by John Daniel Runkle and published by . This book was released on 1860 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227.

Losing the Nobel Prize: A Story of Cosmology, Ambition, and the Perils of Science's Highest Honor

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Publisher : W. W. Norton & Company
ISBN 13 : 1324000929
Total Pages : 328 pages
Book Rating : 4.3/5 (24 download)

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Book Synopsis Losing the Nobel Prize: A Story of Cosmology, Ambition, and the Perils of Science's Highest Honor by : Brian Keating

Download or read book Losing the Nobel Prize: A Story of Cosmology, Ambition, and the Perils of Science's Highest Honor written by Brian Keating and published by W. W. Norton & Company. This book was released on 2018-04-24 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Riveting."—Science A Forbes, Physics Today, Science News, and Science Friday Best Science Book Of 2018 Cosmologist and inventor of the BICEP (Background Imaging of Cosmic Extragalactic Polarization) experiment, Brian Keating tells the inside story of the mesmerizing quest to unlock cosmology’s biggest mysteries and the human drama that ensued. We follow along on a personal journey of revelation and discovery in the publish-or-perish world of modern science, and learn that the Nobel Prize might hamper—rather than advance—scientific progress. Fortunately, Keating offers practical solutions for reform, providing a vision of a scientific future in which cosmologists may finally be able to see all the way back to the very beginning.

The Chess Congress of 1862

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Publisher :
ISBN 13 :
Total Pages : 676 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Chess Congress of 1862 by : Johann Löwenthal

Download or read book The Chess Congress of 1862 written by Johann Löwenthal and published by . This book was released on 1889 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical monthly

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Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.B/5 (1 download)

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Book Synopsis Mathematical monthly by :

Download or read book Mathematical monthly written by and published by . This book was released on 1860 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Turbulent Incompressible Flow

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Publisher : Springer Science & Business Media
ISBN 13 : 3540465332
Total Pages : 385 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computational Turbulent Incompressible Flow by : Johan Hoffman

Download or read book Computational Turbulent Incompressible Flow written by Johan Hoffman and published by Springer Science & Business Media. This book was released on 2007-02-13 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume 4 of the book series of the Body and Soul mathematics education reform program. It presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3. The book puts the Body and Soul computational finite element methodology in the form of General Galerkin (G2) up against the challenge of computing turbulent solutions of the inviscid Euler equations and the Navier-Stokes equations with small viscosity. This is an outstanding textbook presenting plenty of new material with an excellent pedagogical approach.

The Transactions of the British Chess Association for the Years ...

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Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.B/5 (1 download)

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Book Synopsis The Transactions of the British Chess Association for the Years ... by : British Chess Association

Download or read book The Transactions of the British Chess Association for the Years ... written by British Chess Association and published by . This book was released on 1868 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: