Fermat’s Last Theorem for Amateurs PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Fermat’s Last Theorem for Amateurs PDF full book. Access full book title Fermat’s Last Theorem for Amateurs by Paulo Ribenboim. Download full books in PDF and EPUB format.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387216928
Category : Mathematics
Languages : en
Pages : 418
Get Book Here
Book Description
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: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387216928
Category : Mathematics
Languages : en
Pages : 418
Get Book Here
Book Description
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: Gary Cornell
Publisher: Springer Science & Business Media
ISBN: 1461219744
Category : Mathematics
Languages : en
Pages : 592
Get Book Here
Book Description
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: Takeshi Saitō
Publisher: American Mathematical Soc.
ISBN: 0821898485
Category : Mathematics
Languages : en
Pages : 218
Get Book Here
Book Description
This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics.
Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 1468493426
Category : Mathematics
Languages : en
Pages : 306
Get Book Here
Book Description
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: Simon Singh
Publisher: Fourth Estate
ISBN: 9780008553821
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
Introducing the Collins Modern Classics, a series featuring some of the most significant books of recent times, books that shed light on the human experience - classics which will endure for generations to come.
Author: Simon Singh
Publisher: HarperCollins UK
ISBN: 0007381999
Category : Science
Languages : en
Pages : 370
Get Book Here
Book Description
‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’
Author: Harold M. Edwards
Publisher: Springer Science & Business Media
ISBN: 9780387950020
Category : Mathematics
Languages : en
Pages : 436
Get Book Here
Book Description
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.
Author: Ian Stewart
Publisher: CRC Press
ISBN: 143986408X
Category : Mathematics
Languages : en
Pages : 334
Get Book Here
Book Description
First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it
Author: Amir D. Azcel
Publisher: Basic Books
ISBN: 9781568583600
Category : Mathematics
Languages : en
Pages : 0
Get Book Here
Book Description
Simple, elegant, and utterly impossible to prove, Fermat's last theorem captured the imaginations of mathematicians for more than three centuries. For some, it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Amir D. Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised from the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, Fermat's Last Theorem brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.
Author: Simon Singh
Publisher: A&C Black
ISBN: 1408835312
Category : Performing Arts
Languages : en
Pages : 229
Get Book Here
Book Description
From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans 'An entertaining picture of the insanely high-minded nature of the Simpsons' writers' Sunday Times 'A valuable, entertaining book that, above all, celebrates a supremely funny, sophisticated show' Financial Times 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.
