invitation to the mathematics of fermat wiles

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Invitation To The Mathematics Of Fermat Wiles

Author : Yves Hellegouarch
ISBN : 0080478778
Genre : Mathematics
File Size : 44. 58 MB
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Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math Sets the math in its historical context Contains several themes that could be further developed by student research and numerous exercises and problems Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem

Using The Mathematics Literature

Author : Kristine K. Fowler
ISBN : 0824750357
Genre : Language Arts & Disciplines
File Size : 41. 46 MB
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This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

A Mathematical Odyssey

Author : Steven G. Krantz
ISBN : 9781461489399
Genre : Mathematics
File Size : 67. 75 MB
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Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone. This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe. Mathematics is one of mankind's oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths.

Quantum Field Theory I Basics In Mathematics And Physics

Author : Eberhard Zeidler
ISBN : 9783540347644
Genre : Science
File Size : 87. 35 MB
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This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Fearless Symmetry

Author : Avner Ash
ISBN : 0691124922
Genre : Mathematics
File Size : 64. 30 MB
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Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathematician Évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination. The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

The Last Theorem

Author : Arthur C. Clarke
ISBN : 9780345509680
Genre : Fiction
File Size : 34. 52 MB
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Two of science fiction’s most renowned writers join forces for a storytelling sensation. The historic collaboration between Frederik Pohl and his fellow founding father of the genre, Arthur C. Clarke, is both a momentous literary event and a fittingly grand farewell from the late, great visionary author of 2001: A Space Odyssey. The Last Theorem is a story of one man’s mathematical obsession, and a celebration of the human spirit and the scientific method. It is also a gripping intellectual thriller in which humanity, facing extermination from all-but-omnipotent aliens, the Grand Galactics, must overcome differences of politics and religion and come together . . . or perish. In 1637, the French mathematician Pierre de Fermat scrawled a note in the margin of a book about an enigmatic theorem: “I have discovered a truly marvelous proof of this proposition which this margin is too narrow to contain.” He also neglected to record his proof elsewhere. Thus began a search for the Holy Grail of mathematics–a search that didn’t end until 1994, when Andrew Wiles published a 150-page proof. But the proof was burdensome, overlong, and utilized mathematical techniques undreamed of in Fermat’s time, and so it left many critics unsatisfied–including young Ranjit Subramanian, a Sri Lankan with a special gift for mathematics and a passion for the famous “Last Theorem.” When Ranjit writes a three-page proof of the theorem that relies exclusively on knowledge available to Fermat, his achievement is hailed as a work of genius, bringing him fame and fortune. But it also brings him to the attention of the National Security Agency and a shadowy United Nations outfit called Pax per Fidem, or Peace Through Transparency, whose secretive workings belie its name. Suddenly Ranjit–together with his wife, Myra de Soyza, an expert in artificial intelligence, and their burgeoning family–finds himself swept up in world-shaking events, his genius for abstract mathematical thought put to uses that are both concrete and potentially deadly. Meanwhile, unbeknownst to anyone on Earth, an alien fleet is approaching the planet at a significant percentage of the speed of light. Their mission: to exterminate the dangerous species of primates known as homo sapiens. From the Hardcover edition.

Science And Scientists Abstract Algebra Global Warming

Author : Salem Press
ISBN : 1587653036
Genre : Biography & Autobiography
File Size : 72. 65 MB
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"Documents the major breakthroughs in science from ancient times to the present with emphasis on the modern era."--Thomson Gale description.

The New Walford

Author : Albert John Walford
ISBN : 1856044955
Genre : Language Arts & Disciplines
File Size : 25. 59 MB
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First published in 1959, Walford''s guide to reference material achieved international recognition as a leading bibliographic tool across all subject areas. But, in the 1990s, the web transformed the information universe; and so we have now transformed Walford. The New Walford (TNW) Volume 1: Science, Technology and Medicine is the first volume of a radically different guide. Published over 3 years, TNW will form the most substantial work of its kind in the English language. This book provides a pathway through the huge quantity of information now accessible via the web. The types of material cited have been greatly widened to reflect the revolution brought about by the use of networked information; but we have made sure that print resources are not ignored where these are still valuable. If you are approaching a subject for the first time, TNW will get you on your way, guiding you to the best starting points for your query. For the information professional, TNW''s new way of categorizing resources reflects the fundamental changes that have taken place in the scientific, business, political and social information landscapes. Who is it for This new reference book will be valuable for professionals worldwide who need to suggest resources to people who are relatively unfamiliar with the nuances of a topic and who need to know where to start. The focus is on resources that are most likely to be found and used within public, government, education or business information services. If you are an LIS professional responsible for developing and revising a reference collection, new to reference work, staffing an enquiry desk, a research worker or student, you''ll welcome publication of this new work - it''s your paper portal to the world of reference resources. Subject coverage mathematics physics & astronomy earth sciences chemistry biological sciences agriculture, forestry, fisheries & food pre-clinical sciences; clinical medicine health natural resources & energy engineering information & communication technology. Subject fields include astrophysics & cosmology biodiversity & conservation genetics, genomics & bioinformatics infectious diseases information system security meteorology & climatology microengineering & nanotechnology palaeontology soil science sports & exercise medicine. Editor-in-Chief Dr Ray Lester held posts in Unilever and a number of university libraries before becoming Director of Information Services at the London Business School and then the Head of Library and Information Services at The Natural History Museum. Subject specialists Catherine Carr, Cranfield University Jim Corlett, Nottingham Trent University Joanne Dunham, University of Leicester Helen Hathaway, University of Reading Dr Jonathan Jeffery, Leiden University Gareth Johnson, University of York Nazma Masud, Royal Society of Chemistry Roger Mills, University of Oxford Lorna Mitchell, Queen Mary, University of London Dr David Newton, The British Library Linda Norbury, University of Birmingham Bob Parry, University of Reading Alison Sutton, University of Reading Elizabeth Tilley, University of Cambridge Dr Barry White, University of Manchester Fenella Whittaker, The Institution of Mechanical Engineers. 010

Abstract Algebra

Author : Dan Saracino
ISBN : 1577665368
Genre : Mathematics
File Size : 70. 24 MB
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Bulletin Of The Belgian Mathematical Society Simon Stevin

Author :
ISBN : CORNELL:31924099682936
Genre : Mathematics
File Size : 26. 81 MB
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