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Seminar On Fermat S Last Theorem by Vijaya Kumar Murty

Title Seminar on Fermat s Last Theorem
Author Vijaya Kumar Murty
Publisher American Mathematical Soc.
Release Date 1995
Category Mathematics
Total Pages 265
ISBN 9780821803134
Language English, Spanish, and French
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Book Summary:

The most significant recent development in number theory is the work of Andrew Wiles on modular elliptic curves. Besides implying Fermat's Last Theorem, his work establishes a new reciprocity law. Reciprocity laws lie at the heart of number theory. Wiles' work draws on many of the tools of modern number theory and the purpose of this volume is to introduce readers to some of this background material. Based on a seminar held during 1993-1994 at the Fields Institute for Research in Mathematical Sciences, this book contains articles on elliptic curves, modular forms and modular curves, Serre's conjectures, Ribet's theorem, deformations of Galois representations, Euler systems, and annihilators of Selmer groups. All of the authors are well known in their field and have made significant contributions to the general area of elliptic curves, Galois representations, and modular forms. Features: Brings together a unique collection of number theoretic tools. Makes accessible the tools needed to understand one of the biggest breakthroughs in mathematics. Provides numerous references for further study.

Title Modular Forms and Fermat s Last Theorem
Author Gary Cornell
Publisher Springer Science & Business Media
Release Date 2013-12-01
Category Mathematics
Total Pages 582
ISBN 9781461219743
Language English, Spanish, and French
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Book Summary:

This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Notes On Fermat S Last Theorem by Alfred J. van der Poorten

Title Notes on Fermat s Last Theorem
Author Alfred J. van der Poorten
Publisher Wiley-Interscience
Release Date 1996-02-16
Category Mathematics
Total Pages 222
ISBN UOM:39015037279406
Language English, Spanish, and French
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Book Summary:

Around 1637, the French jurist Pierre de Fermat scribbled in the margin of his copy of the book Arithmetica what came to be known as Fermat's Last Theorem, the most famous question in mathematical history. Stating that it is impossible to split a cube into two cubes, or a fourth power into two fourth powers, or any higher power into two like powers, but not leaving behind the marvelous proof he claimed to have had, Fermat prompted three and a half centuries of mathematical inquiry which culminated only recently with the proof of the theorem by Andrew Wiles. This book offers the first serious treatment of Fermat's Last Theorem since Wiles's proof. It is based on a series of lectures given by the author to celebrate Wiles's achievement, with each chapter explaining a separate area of number theory as it pertains to Fermat's Last Theorem. Together, they provide a concise history of the theorem as well as a brief discussion of Wiles's proof and its implications. Requiring little more than one year of university mathematics and some interest in formulas, this overview provides many useful tips and cites numerous references for those who desire more mathematical detail. The book's most distinctive feature is its easy-to-read, humorous style, complete with examples, anecdotes, and some of the lesser-known mathematics underlying the newly discovered proof. In the author's own words, the book deals with "serious mathematics without being too serious about it." Alf van der Poorten demystifies mathematical research, offers an intuitive approach to the subject-loosely suggesting various definitions and unexplained facts-and invites the reader to fill in the missing links in some of the mathematical claims. Entertaining, controversial, even outrageous, this book not only tells us why, in all likelihood, Fermat did not have the proof for his last theorem, it also takes us through historical attempts to crack the theorem, the prizes that were offered along the way, and the consequent motivation for the development of other areas of mathematics. Notes on Fermat's Last Theorem is invaluable for students of mathematics, and of real interest to those in the physical sciences, engineering, and computer sciences-indeed for anyone who craves a glimpse at this fascinating piece of mathematical history. An exciting introduction to modern number theory as reflected by the history of Fermat's Last Theorem This book displays the unique talents of author Alf van der Poorten in mathematical exposition for mathematicians. Here, mathematics' most famous question and the ideas underlying its recent solution are presented in a way that appeals to the imagination and leads the reader through related areas of number theory. The first book to focus on Fermat's Last Theorem since Andrew Wiles presented his celebrated proof, Notes on Fermat's Last Theorem surveys 350 years of mathematical history in an amusing and intriguing collection of tidbits, anecdotes, footnotes, exercises, references, illustrations, and more. Proving that mathematics can make for lively reading as well as intriguing thought, this thoroughly accessible treatment Helps students and professionals develop a background in number theory and provides introductions to the various fields of theory that are touched upon * Offers insight into the exciting world of mathematical research * Covers a number of areas appropriate for classroom use * Assumes only one year of university mathematics background even for the more advanced topics * Explains why Fermat surely did not have the proof to his theorem * Examines the efforts of mathematicians over the centuries to solve the problem * Shows how the pursuit of the theorem contributed to the greater development of mathematics

Title Elliptic Curves Modular Forms Fermat s Last Theorem
Author John Coates
Publisher International Pressof Boston Incorporated
Release Date 1997
Category Mathematics
Total Pages 340
ISBN UOM:39015043823981
Language English, Spanish, and French
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Book Summary:

These proceedings are based on a conference at the Chinese University of Hong Kong, held in response to Andrew Wile's conjecture that every elliptic curve over Q is modular. The survey article describing Wile's work is included as the first article in the present edition.

The Last Theorem by Arthur C. Clarke

Title The Last Theorem
Author Arthur C. Clarke
Publisher Del Rey
Release Date 2008-08-05
Category Fiction
Total Pages 320
ISBN 9780345509680
Language English, Spanish, and French
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Book Summary:

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.

Fermat S Last Theorem by Simon Singh

Title Fermat s Last Theorem
Author Simon Singh
Publisher HarperCollins UK
Release Date 2012-11-22
Category Science
Total Pages 368
ISBN 9780007381999
Language English, Spanish, and French
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Book Summary:

‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’

Title Number Theory Related to Fermat s Last Theorem
Author Koblitz
Publisher Springer Science & Business Media
Release Date 2013-11-21
Category Juvenile Nonfiction
Total Pages 366
ISBN 9781489966995
Language English, Spanish, and French
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Fermat S Last Theorem by Harold M. Edwards

Title Fermat s Last Theorem
Author Harold M. Edwards
Publisher Springer Science & Business Media
Release Date 2000-01-14
Category Mathematics
Total Pages 407
ISBN 0387950028
Language English, Spanish, and French
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Book Summary:

This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.

Title 13 Lectures on Fermat s Last Theorem
Author Paulo Ribenboim
Publisher Springer Science & Business Media
Release Date 2012-12-06
Category Mathematics
Total Pages 302
ISBN 9781468493429
Language English, Spanish, and French
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Book Summary:

Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than three eenturies. Many clever methods have been devised to attaek the problem, and many beautiful theories have been ereated with the aim of proving the theorem. Yet, despite all the attempts, the question remains unanswered. The topie is presented in the form of leetures, where I survey the main lines of work on the problem. In the first two leetures, there is a very brief deseription of the early history, as well as a seleetion of a few of the more representative reeent results. In the leetures whieh follow, I examine in sue eession the main theories eonneeted with the problem. The last two lee tu res are about analogues to Fermat's theorem. Some of these leetures were aetually given, in a shorter version, at the Institut Henri Poineare, in Paris, as well as at Queen's University, in 1977. I endeavoured to produee a text, readable by mathematieians in general, and not only by speeialists in number theory. However, due to a limitation in size, I am aware that eertain points will appear sketehy. Another book on Fermat's theorem, now in preparation, will eontain a eonsiderable amount of the teehnieal developments omitted here. It will serve those who wish to learn these matters in depth and, I hope, it will clarify and eomplement the present volume.

The Last Problem by Eric Temple Bell

Title The Last Problem
Author Eric Temple Bell
Publisher American Mathematical Soc.
Release Date 2020-08-03
Category Mathematics
Total Pages 308
ISBN 9781470457518
Language English, Spanish, and French
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Book Summary:

Title Current Developments in Mathematics 1995
Author Raoul Bott
Publisher Unknown
Release Date 1995
Category Mathematics
Total Pages 282
ISBN 1571460349
Language English, Spanish, and French
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Book Summary:

Title Algebraic Number Theory
Author Ian Stewart
Publisher Springer
Release Date 1979-05-31
Category Science
Total Pages 257
ISBN 0412138409
Language English, Spanish, and French
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Book Summary:

The title of this book may be read in two ways. One is 'algebraic number-theory', that is, the theory of numbers viewed algebraically; the other, 'algebraic-number theory', the study of algebraic numbers. Both readings are compatible with our aims, and both are perhaps misleading. Misleading, because a proper coverage of either topic would require more space than is available, and demand more of the reader than we wish to; compatible, because our aim is to illustrate how some of the basic notions of the theory of algebraic numbers may be applied to problems in number theory. Algebra is an easy subject to compartmentalize, with topics such as 'groups', 'rings' or 'modules' being taught in comparative isolation. Many students view it this way. While it would be easy to exaggerate this tendency, it is not an especially desirable one. The leading mathematicians of the nineteenth and early twentieth centuries developed and used most of the basic results and techniques of linear algebra for perhaps a hundred years, without ever defining an abstract vector space: nor is there anything to suggest that they suf fered thereby. This historical fact may indicate that abstrac tion is not always as necessary as one commonly imagines; on the other hand the axiomatization of mathematics has led to enormous organizational and conceptual gains.

Title Analysis Geometry and Probability
Author Rajendra Bhatia
Publisher Springer
Release Date 1997-04-15
Category Mathematics
Total Pages 424
ISBN 9789380250878
Language English, Spanish, and French
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Book Summary:

This book is a collection of expository articles by well-known mathematicians. Some of them introduce the reader to a major topic, while others provide a glimpse into an active field of research. All articles are accessible to graduate students. The articles were invited in honour of K. R. Parthasarathy, a mathematican, teacher and expositor of renown. Some of the articles, by his coworkers, are related to his work on probability, quantum probability and group representations. Others are on diverse topics in analysis, geometry and number theory.

Title A First Course in Modular Forms
Author Fred Diamond
Publisher Springer Science & Business Media
Release Date 2006-03-30
Category Mathematics
Total Pages 450
ISBN 9780387272269
Language English, Spanish, and French
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Book Summary:

This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.

Title NASA Conference Publication
Author Anonim
Publisher Unknown
Release Date 1979
Category Aeronautics
Total Pages 86
ISBN UOM:39015006102480
Language English, Spanish, and French
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Title Elliptic Curves Modular Forms Fermat s Last Theorem
Author John H. Coates
Publisher International Press of Boston
Release Date 1995
Category Curvas elípticas
Total Pages 191
ISBN UOM:39015034938079
Language English, Spanish, and French
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Book Summary:

Title Math with Bad Drawings
Author Ben Orlin
Publisher Black Dog & Leventhal
Release Date 2018-09-18
Category Mathematics
Total Pages 376
ISBN 9780316509022
Language English, Spanish, and French
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Book Summary:

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Title The Girl Who Played with Fire
Author Stieg Larsson
Publisher Penguin Canada
Release Date 2010-01-05
Category Fiction
Total Pages 752
ISBN 9780143177296
Language English, Spanish, and French
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Book Summary:

The electrifying follow-up to the phenomenal best seller The Girl with the Dragon Tattoo. The fierce heart of this novel is Lisbeth Salander: the troubled, wise-beyond-her-years genius hacker who teamed up with crusading journalist Mikael Blomkvist in The Girl with the Dragon Tattoo. This time, Lisbeth is implicated in a murder: her fingerprints found on the weapon used to kill two journalists the night before their explosive story about sex trafficking in Sweden was set to be published. Now, while Blomkvist—alone in his belief in her innocence—plunges into his own investigation of the slayings, Lisbeth is drawn into a hunt in which she is the prey, and which compels her to revisit her dark past in an effort to settle with it once and for all.

Title The Simpsons and Their Mathematical Secrets
Author Simon Singh
Publisher A&C Black
Release Date 2013-10-29
Category Performing Arts
Total Pages 272
ISBN 9781408835319
Language English, Spanish, and French
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Book Summary:

You may have watched hundreds of episodes of The Simpsons (and its sister show Futurama) without ever realising that they contain enough maths to form an entire university course. In The Simpsons and Their Mathematical Secrets, Simon Singh explains how the brilliant writers, some of the mathematicians, have smuggled in mathematical jokes throughout the cartoon's twenty-five year history, exploring everything from to Mersenne primes, from Euler's equation to the unsolved riddle of P vs. NP, from perfect numbers to narcissistic numbers, and much more. With wit, clarity and a true fan's zeal, Singh analyses such memorable episodes as 'Bart the Genius' and 'Homer3' to offer an entirely new insight into the most successful show in television history.

Title Mathematical Reviews
Author Anonim
Publisher Unknown
Release Date 2003
Category Mathematics
Total Pages 86
ISBN UVA:X006180437
Language English, Spanish, and French
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Book Summary: