Seminar On Fermats Last Theorem

Author : Vijaya Kumar Murty
Publisher : American Mathematical Soc.
ISBN 13 : 0821803131
Total Pages : 278 pages
Book Rating : 4.34/5 ( download)

DOWNLOAD NOW!

Download or read book Seminar on Fermat's Last Theorem written by Vijaya Kumar Murty and published by American Mathematical Soc.. This book was released on 1995 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 1468493426
Total Pages : 306 pages
Book Rating : 4.29/5 ( download)

DOWNLOAD NOW!

Download or read book 13 Lectures on Fermat's Last Theorem written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2 Explanations.- Lecture III B.K. = Before Kummer.- 1 The Pythagorean Equation.- 2 The Biquadratic Equation.- 3 The Cubic Equation.- 4 The Quintic Equation.- 5 Fermat's Equation of Degree Seven.- Lecture IV The Naïve Approach.- 1 The Relations of Barlow and Abel.- 2 Sophie Germain.- 3 Co.

Author : Arthur C. Clarke
Publisher : HarperCollins UK
ISBN 13 : 0007308140
Total Pages : 23 pages
Book Rating : 4.49/5 ( download)

DOWNLOAD NOW!

Download or read book The Last Theorem written by Arthur C. Clarke and published by HarperCollins UK. This book was released on 2008-12-07 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final work from the brightest star in science fiction’s galaxy. Arthur C Clarke, who predicted the advent of communication satellites and author of 2001: A Space Odyssey completes a lifetime career in science fiction with a masterwork.

Author : Gary Cornell
Publisher : Springer Science & Business Media
ISBN 13 : 1461219744
Total Pages : 592 pages
Book Rating : 4.43/5 ( download)

DOWNLOAD NOW!

Download or read book Modular Forms and Fermat’s Last Theorem written by Gary Cornell and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Simon Singh
Publisher : A&C Black
ISBN 13 : 1408835312
Total Pages : 272 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

Download or read book The Simpsons and Their Mathematical Secrets written by Simon Singh and published by A&C Black. This book was released on 2013-10-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Gary Cornell
Publisher : Springer Science & Business Media
ISBN 13 : 9780387946092
Total Pages : 608 pages
Book Rating : 4.98/5 ( download)

DOWNLOAD NOW!

Download or read book Modular Forms and Fermat’s Last Theorem written by Gary Cornell and published by Springer Science & Business Media. This book was released on 1997 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held at Boston University. The purpose of the conference, and indeed this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof, and to explain how his result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true. The book begins with an overview of the complete proof, theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. In recognition of the historical significance of Fermat's Last Theorem, the volume concludes by reflecting on the history of the problem, while placing Wiles' theorem into a more general Diophantine context suggesting future applications.

Author : Albert Cuoco
Publisher : MAA
ISBN 13 : 1939512018
Total Pages : 481 pages
Book Rating : 4.17/5 ( download)

DOWNLOAD NOW!

Download or read book Learning Modern Algebra written by Albert Cuoco and published by MAA. This book was released on 2013 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.

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

DOWNLOAD NOW!

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 : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387216928
Total Pages : 418 pages
Book Rating : 4.28/5 ( download)

DOWNLOAD NOW!

Download or read book Fermat’s Last Theorem for Amateurs written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2008-01-21 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In this book, aimed at amateurs curious about the history of the subject, the author restricts his attention exclusively to elementary methods that have produced rich results.

Author : Charles J. Mozzochi
Publisher : American Mathematical Soc.
ISBN 13 : 9780821826706
Total Pages : 246 pages
Book Rating : 4.00/5 ( download)

DOWNLOAD NOW!

Download or read book The Fermat Diary written by Charles J. Mozzochi and published by American Mathematical Soc.. This book was released on 2000 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the final chapter of the story of perhaps the most famous mathematics problem of our time: Fermat's Last Theorem. The full story begins in 1637, with Pierre de Fermat's enigmatic marginal note in his copy of Diophantus's Arithmetica. It ends with the spectacular solution by Andrew Wiles some 350 years later. The Fermat Diary provides a record in pictures and words of the dramatic time from June 1993 to August 1995, including the period when Wiles completed the last stages of the proof and concluding with the mathematical world's celebration of Wiles' result at Boston University. This diary takes us through the process of discovery as reported by those who worked on the great puzzle: Gerhard Frey who conjectured that Shimura-Taniyama implies Fermat; Ken Ribet who followed a difficult and speculative plan of attack suggested by Jean-Pierre Serre and established the statement by Frey; and Andrew Wiles who announced a proof of enough of the Shimura-Taniyama conjecture to settle Fermat's Last Theorem, only to announce months later that there was a gap in the proof. Finally, we are brought to the historic event on September 19, 1994, when Wiles, with the collaboration of Richard Taylor, dramatically closed the gap. The book follows the much-in-demand Wiles through his travels and lectures, finishing with the Instructional Conference on Number Theory and Arithmetic Geometry at Boston University. There are many important names in the recent history of Fermat's Last Theorem. This book puts faces and personalities to those names. Mozzochi also uncovers the details of certain key pieces of the story. For instance, we learn in Frey's own words the story of his conjecture, about his informal discussion and later lecture at Oberwolfach and his letter containing the actual statement. We learn from Faltings about his crucial role in the weeks before Wiles made his final announcement. An appendix contains the Introduction of Wiles' Annals paper in which he describes the evolution of his solution and gives a broad overview of his methods. Shimura explains his position concerning the evolution of the Shimura-Taniyama conjecture. Mozzochi also conveys the atmosphere of the mathematical community--and the Princeton Mathematics Department in particular--during this important period in mathematics. This eyewitness account and wonderful collection of photographs capture the marvel and unfolding drama of this great mathematical and human story.