The Millennium Problems

Author : James Carlson
Publisher : American Mathematical Society, Clay Mathematics Institute
ISBN 13 : 1470474603
Total Pages : 185 pages
Book Rating : 4.07/5 ( download)

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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.

Author : Keith J. Devlin
Publisher : Granta Books
ISBN 13 : 9781862077355
Total Pages : 237 pages
Book Rating : 4.55/5 ( download)

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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.

Author : Donal O'Shea
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802718949
Total Pages : 306 pages
Book Rating : 4.45/5 ( download)

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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.

Author : Ian Stewart
Publisher : Profile Books
ISBN 13 : 1847653510
Total Pages : 340 pages
Book Rating : 4.12/5 ( download)

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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 340 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 Poincar 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 : Barry Cipra
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.33/5 ( download)

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Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Author : James A. Carlson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821836798
Total Pages : 192 pages
Book Rating : 4.9X/5 ( download)

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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.

Author : Stewart I. Donaldson
Publisher : Routledge
ISBN 13 : 113563632X
Total Pages : 219 pages
Book Rating : 4.26/5 ( download)

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Download or read book Evaluating Social Programs and Problems written by Stewart I. Donaldson and published by Routledge. This book was released on 2003-01-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today's evaluators are being challenged to help design and evaluate social programs intended to prevent and ameliorate complex social problems in a variety of settings, including schools, communities, and not-for-profit and for-profit organizations. Drawing upon the knowledge and experience of world-renowned evaluators, the goal of this new book is to provide the most up-to-date theorizing about how to practice evaluation in the new millennium. It features specific examples of evaluations of social programs and problems, including the strengths and weaknesses of the most popular and promising evaluation approaches, to help readers determine when particular methods are likely to be most effective. As such, it is the most comprehensive volume available on modern theories of evaluation practice. Evaluating Social Programs and Problems presents diverse, cutting-edge perspectives articulated by prominent evaluators and evaluation theorists on topics including, but not limited to: *Michael Scriven on evaluation as a trans-discipline; *Joseph S. Wholey on results-oriented management; *David Fetterman on empowerment evaluation; *Yvonna S. Lincoln on fourth-generation evaluation; *Donna M. Mertens on inclusive evaluation; *Stewart I. Donaldson on theory-driven evaluation; and *Melvin M. Mark on an integrated view of diverse visions for evaluation. Evaluating Social Programs and Problems is a valuable resource and should be considered required reading for practicing evaluators, evaluators-in-training, scholars and teachers of evaluation and research methods, and other professionals interested in improving social problem-solving efforts in the new millennium.

Author : Stieg Larsson
Publisher : Vintage
ISBN 13 : 0307476154
Total Pages : 738 pages
Book Rating : 4.59/5 ( download)

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Download or read book The Girl who Played with Fire written by Stieg Larsson and published by Vintage. This book was released on 2010 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the reporters to a sex-trafficking exposé are murdered and computer hacker Lisbeth Salander is targeted as the killer, Mikael Blomkvist, the publisher of the exposé, investigates to clear Lisbeth's name.

Author : Charles Mutasa
Publisher : Rowman & Littlefield
ISBN 13 : 1442256273
Total Pages : 224 pages
Book Rating : 4.79/5 ( download)

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Download or read book Africa and the Millennium Development Goals written by Charles Mutasa and published by Rowman & Littlefield. This book was released on 2015-10-29 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique work by the Centre for Conflict Resolution (CCR), Cape Town, South Africa, tracks the progress Africa has made in achieving the United Nations’ Millennium Development Goals (MDGs) since 2000. The chapters are organized around the larger themes of political economy, structural issues, sustainable goals, and human development goals. Together they provide a unique assessment from experts on the ground of whether the goals were a success and what remains to be done to achieve sustainable economic and human development in Africa.

Author : Anatole Beck
Publisher : CRC Press
ISBN 13 : 1000692094
Total Pages : 526 pages
Book Rating : 4.99/5 ( download)

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Download or read book Excursions into Mathematics written by Anatole Beck and published by CRC Press. This book was released on 2020-02-24 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was first published three decades ago, Excursions Into Mathematics has been one of the most popular mathematical books written for a general audience. Taking the reader for short "excursions" into several specific disciplines of mathematics, it makes mathematical concepts accessible to a wide audience. The Millennium Edition is updated with current research and new solutions to outstanding problems that have been discovered since the last edition was printed, such as the solution to the well-known "four-color problem." Excursions Into Mathematics: The Millennium Edition is an exciting revision of the original, much-loved classic. Everyone with an interest in mathematics should read this book.