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Fermat Theorem: more books (100)

Three Lectures On Fermat's Last Theorem by LJ MORDELL, 2010-05-25
FERMAT'S LAST THEOREM: UNLOCKING THE SECRET OF AN ANCIENT MATHEMATICAL PROBLEM by AMIR D. ACZEL, 1997
Three Lectures on Fermat's Last Theorem: -1921 by L. J. (Louis Joel) Mordell, 2009-07-24
Congruence surds and Fermat's last theorem by Max Michael Munk, 1977
13 Lectures on Fermat's Last Theorem by Paulo Ribenboim, 2010-11-02
The Fermat Diary by C. J. Mozzochi, 2000-10-24
Fermat's Last Theorem (In Hebrew) by Simon Singh, 2000
Fermat's Theorem (Stationary Points): Theorem, Real analysis, Pierre de Fermat, Maxima and minima, Derivative, Open set, Stationary point, Equation, Necessary ... Inflection point, Second derivative
Proof of Fermat's theorem, and McGinnis' theorem of derivative equations in an absolute proof of Fermat's theorem; reduction of the general equation of ... supplementary theorems, by Michael Angelo Mc by Michigan Historical Reprint Series, 2005-12-20
The Proof of Fermat's Last Theorem: An entry from Gale's Science and Its Times by Todd Timmons, 2001
The Enduring and Revolutionary Impact of Pierre de Fermat's Last Theorem: An entry from Gale's Science and Its Times by Mark H. Allenbaugh, 2001
Fermat's Last Theorem: An entry from Macmillan Reference USA's Macmillan Reference USA Science Library: Mathematics by Lucia McKay, 2002
Fermat's Last Theorem: Webster's Timeline History, 1000 - 2004 by Icon Group International, 2009-05-01
Number Theory Unit 4: Fermat's and Wilson's Theorems (Course M381) by Alan Best, 1996-12-01

lists with details

Notes On Fermat's Last Theorem
Alf van der Poorten (Wiley, 1996). Contents, reviews.
http://www.maths.mq.edu.au/~alf/NotesonFLT.html
Fermat's Last Theorem
fermat s last theorem. the proof is not there. To some extent, provingfermat s theorem is like climbing Everest. If a man wants to
http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.html

Extractions: Pierre de Fermat died in 1665. Today we think of Fermat as a number theorist, in fact as perhaps the most famous number theorist who ever lived. It is therefore surprising to find that Fermat was in fact a lawyer and only an amateur mathematician. Also surprising is the fact that he published only one mathematical paper in his life, and that was an anonymous article written as an appendix to a colleague's book. Because Fermat refused to publish his work, his friends feared that it would soon be forgotten unless something was done about it. His son, Samuel undertook the task of collecting Fermat 's letters and other mathematical papers, comments written in books, etc. with the object of publishing his father's mathematical ideas. In this way the famous 'Last theorem' came to be published. It was found by Samuel written as a marginal note in his father's copy of Diophantus 's Arithmetica Fermat's Last Theorem states that x n y n z n has no non-zero integer solutions for x y and z when n Fermat wrote I have discovered a truly remarkable proof which this margin is too small to contain.
Fermat's Theorem: DISPROVED
fermat s Last theorem Disproved by I. Savant of Marietta, Georgia. Innovativethinking led least an Emmy. fermat s theorem DISPROVED.
http://home.mindspring.com/~jbshand/ferm.html

Extractions: FERMAT's Last Theorem Disproved by I. Savant of Marietta, Georgia. Innovative thinking led to the discovery of solutions to the infamous equation that has baffled mathematicians for a decade. Savant has already become a semi-celebrity, and is the odds on favorite as next years Nobel Prize winner, or at least an Emmy (IP-Atlanta) The Mathematics community was stunned early yesterday after one of the all-time greatest mysteries was resurrected and then finally put to rest by a Marietta Georgia man. I.Savant, a reclusive bachelor who some say might be related to Elvis or Phyllis Diller, announced that he had discovered several solutions to the what some have called the Holy Grail of Mathematics: Fermat's Last Theorem The theorem is deceiving in its simplicity. Thousands of weeks ago, it was born when the famous mathematician Fermat scribbled a cryptic note in the margin of a journal. The note said that he had stumbled upon a marvelous proof of the following: I think Fermat succumbed to pressure when he claimed that he had found a proof, and I don't blame him. I mean, there's this theorem named after you, and they even tell you that it's the last one you're getting. Hell yeah, you're going to tell them you proved it. For years people have tried to show that Fermat's Last Theorem is true. Some have tried to show it was not untrue, and others have tried to show that it was not-not-not unfalse. It dawned upon me that no one had really tried to show that it was un-not not-not-anti-not untrue. When I looked at it this way, I immediately found that it was what I just said it was, and at that point I knew I had stumbled upon a great discovery.
Math Forum: Ask Dr. Math FAQ: Fermat's Last Theorem
is very indirect, and involves two branches of mathematics which at face value appearto have nothing to do either with each other or with fermat s theorem.
http://mathforum.org/dr.math/faq/faq.fermat.html

Extractions: Dr. Math FAQ Classic Problems Formulas Search Dr. Math ... Dr. Math Home In the margin of his copy of a book by Diophantus, Pierre de Fermat wrote that it is possible to have a square be the sum of two squares, but that a cube can not be the sum of two cubes, nor a fourth power be a sum of two fourth powers, and so on. Further, he wrote that he had found a truly marvelous proof which the margin was too small to contain. That is to say, there are no integers x, y, z such that x + y = z , or integers x, y, z such that x + y = z Although this is easily stated, it has proved to be one of the most puzzling problems in the whole history of mathematics. Long after all the other statements made by Fermat had been either proved or disproved, this remained; hence it is called Fermat's Last Theorem (actually, Conjecture would be more accurate than Theorem). This conjecture was worked on by many famous mathematicians. Fermat himself proved this theorem for n = 4, and Leonhard Euler did n = 3. Special cases were dispatched one after another. New theories were developed to attack the problem, but all attempts at a general proof failed. They failed, that is, until this decade, when, building on work of many famous mathematicians, Prof. Andrew Wiles of Princeton University finally proved it. His method could not have been known to Fermat. Fermat's "truly marvelous proof" is now believed to have been faulty.
Fermat's Last Theorem Is Solved
An attempted elementary proof of FLT using binomial expansions.
http://www.coolissues.com/mathematics/fermat.htm
Fermat's Theorem & Negation Of Axiom Of Choice By Ajebara
fermat s theorem Negation of Axiom of Choice by ajebara. reply to thismessage post a message on a new topic Back to sci.math.symbolic
http://mathforum.org/epigone/sci.math.symbolic/smangjoutheh
Introduction On Bernoulli's Numbers
A web article with a brief history and account of their relationship with the Riemann zeta function and fermat's Last theorem (HTML/PS).
http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html

Extractions: Introduction on Bernoulli's numbers (Click here for a Postscript version of this page.) Bernoulli's numbers play an important and quite mysterious role in mathematics and in various places like analysis, number theory and differential topology. They first appeared in Ars Conjectandi , page 97, a famous (and posthumous) treatise published in 1713, by Jakob Bernoulli (1654-1705) when he studied the sums of powers of consecutive integers and in the expansion of many usual functions as tan(x), tanh(x), 1/sin(x), Perhaps one of the most important result is Euler-Maclaurin summation formula, where Bernoulli's numbers are contained and which allows to accelerate the computation of slow converging series (see the essay on Euler's constant at [ ]). They also appear in numbers theory (Fermat's theorem) and in many other domains and have caused the creation of a huge literature (see the 2700 and more entries enumerated in [
CATHOLIC ENCYCLOPEDIA: Augustin-Louis Cauchy
(Catholic Encyclopedia) Theory of polyhedra, symmetrical functions, proof of a theorem of fermat which had baffled mathematicians like Gauss and Euler.
http://www.newadvent.org/cathen/03457a.htm

Extractions: Home Encyclopedia Summa Fathers ... C > Augustin-Louis Cauchy A B C D ... Z Napoleon at Cherbourg. While here he devoted his leisure moments to mathematics. Several important memoirs from his pen, among them those relating to the theory of polyhedra, symmetrical functions, and particularly his proof of a theorem of Fermat which had baffled mathematicians like Gauss and Euler, made him known to the scientific world and won him admittance into the Academy of Sciences. At about the same time the Grand Prix offered by the Academy was bestowed on him for his essays on the propagation of waves. After a sojourn of three years at Cherbourg his health began to fail, and he resigned his post to begin at the age of twenty-two his career of professor at the Ecole Polytechnique. In 1818 he married Mlle. de Bure, who, with two daughters, survived him. Napoleon III in the cases of Cauchy and Arago, and he was thus free to continue his lectures. He spent the last years of his life at Sceaux, outside of Paris, devoting himself to his mathematical researches until the end. Society of Jesus VALSON
Fermat's Last Theorem From MathWorld
fermat's Last theorem from MathWorld A theorem first proposed by fermat in the form of a note scribbled in the margin of his copy of the ancient Greek text Arithmetica by Diophantus. The
http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/FermatsLastTheorem
Fermat's Little Theorem -- From MathWorld
fermat s Little theorem. (2). and d divides . Hence,, (3). The theorem is sometimesalso simply known as fermat s theorem (Hardy and Wright 1979, p. 63).
http://mathworld.wolfram.com/FermatsLittleTheorem.html

Extractions: The theorem is sometimes also simply known as " Fermat's theorem " (Hardy and Wright 1979, p. 63). This is a generalization of the Chinese hypothesis and a special case of Euler's theorem . It is sometimes called Fermat's primality test and is a necessary but not sufficient test for primality. Although it was presumably proved (but suppressed) by Fermat the first proof was published by Euler in 1749. It is unclear when the term "Fermat's little theorem" was first used to describe the theorem, but it was used in a German textbook by Hensel (1913) and appears is MacLane (1940) and Kaplansky (1945). The theorem is easily proved using mathematical induction on a . Suppose (i.e.
Fermat's Last Theorem
Video of a popular lecture on FLT arranged by the London Mathematical Society.
http://www.lib.ic.ac.uk/av/vids_lms.html#A1.14
Carmichael Numbers
Test numbers for primality and pseudoprimality in Java.
http://www.math.fau.edu/Richman/carm.htm

Extractions: If n is a prime, and b n , then b n is congruent to 1 modulo n . So if we compute b n modulo n , and don't get 1, then we can conclude that n is not a prime. n A number n is a pseudoprime to the base b if b n is congruent to 1 modulo n . If a number is a pseudoprime to a variety of bases, then it is likely to be a prime. Below you can find out which composite numbers less than m are pseudoprimes to various bases. m A Carmichael number is a composite number n such that b n is congruent to 1 modulo n for every b that is relatively prime to n . So a Carmichael number passes the Fermat's-little-theorem test as best as it can.
NOVA Online | The Proof
For over 350 years, some of the greatest minds of science struggled to prove whatwas known as fermat s Last theorem the idea that a certain simple equation
http://www.pbs.org/wgbh/nova/proof/

Extractions: For over 350 years, some of the greatest minds of science struggled to prove what was known as Fermat's Last Theorem the idea that a certain simple equation had no solutions. Now hear from the man who spent seven years of his life cracking the problem, read the intriguing story of an 18th century woman mathematician who hid her identity in order to work on Fermat's Last Theorem, and demonstrate that a related equation, the Pythagorean Theorem, is true.
Fermat's Little Theorem From MathWorld
fermat's Little theorem from MathWorld If p is a prime number and a a natural number, then a^p\equiv a\ \left({{\rm mod\ } {p}}\right). Furthermore, if p\nmid a (p does not divide a), then
http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/FermatsLittleTheor
On A Fermat's Theorem
ON A fermat S theorem. Any common factor in two of terms is a factorin all . Let be m the greatest common factor of them. 12 May 1994.
http://www.geocities.com/CapeCanaveral/Lab/8266/node2.html
The Prime Glossary: Fermat's Little Theorem
Welcome to the Prime Glossary a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled 'fermat's little theorem.' Come explore a new
http://www.utm.edu/research/primes/glossary/FermatsLittleTheorem.html

Extractions: (another Prime Pages ' Glossary entries) Glossary: Prime Pages: Fermat 's "biggest", and also his "last" theorem states that x n + y n = z n has no solutions in positive integers x, y, z with n greater than 2. This has finally been proven by Wiles in 1995. However, in the study of primes it is Fermat's little theorem that is most used: It is so easy to calculate a p that most elementary primality tests are built using a version of Fermat's Little Theorem rather than Wilson's Theorem As usual, Fermat did not provide a proof (this time saying "I would send you the demonstration, if I did not fear its being too long" [ Euler first published a proof in 1736, but Leibniz left virtually the same proof in an unpublished manuscript from sometime before 1683. See Also: Fermat quotient Related pages (outside of this work) Proof of this theorem Fermat's theorem, probable-primality and pseudoprimes
Instructional Conference On Fermat's Last Theorem
University of Illinois at UrbanaChampaign, USA; 618 August 2000.
http://www.math.uiuc.edu/~boston/workshop.html

Extractions: Chris Skinner, IAS and Michigan From August 6-18, 2000, the Instructional Conference on Fermat's Last Theorem will be held as one of the featured events in a Special Year in Number Theory at the University of Illinois. It is intended to provide advanced graduate students with a detailed overview of the recent proof of Fermat's Last Theorem. Workshop participants will arrive Sunday, August 6 and leave at about lunchtime Friday, August 18. The meeting will consist of morning lectures by each of the organizers, followed by breaking into 4 groups of 6 students each to work on projects. These projects will fill some of the holes left in the lectures. Towards the end of the two weeks, students will present talks on their group work. There will be some social events (a reception at the start, an outing in the middle, and banquet at the end). The conference is hosted by the Mathematics Department at the University of Illinois and is supported by the Number Theory Foundation and the National Science Foundation.
Fermat Biography
fermat s theorem s proof finally resolved after several failed attemptfrom so many notable mathematicians who were puzzled for so long.
http://math.about.com/library/blfermatbio.htm

Extractions: zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Homework Help Mathematics Home ... Math Tutors zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Math Help and Tutorials Math Formulas Math Lesson Plans Math Tutors ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Subscribe to the About Mathematics newsletter. Search Mathematics Pierre de Fermat French Number Theorist More Fermat Photos Background: P ierre de Fermat (pronounced Fair-mah) was born in Beaumont-de-Lomagne, France in August of 1601 and died in 1665. He is considered to be one of the greatest mathematicians of the seventeenth century. Fermat's father was a leather merchant and his mother's family was in the legal profession. Fermat attended a Franciscan monastery before moving on to obtain a Bachelor's Degree in civil law from the University of Orleans in 1631. He married, had five children and practiced law. For the most part, Math was a hobby for Fermat. Fermat was a busy lawyer and did not let his love of math completely take over his time. It's been said that Fermat never wanted anything to be published as he considered math to be his hobby. The only one thing he did publish - he did so anonymously. He sent many of his papers by mail to some of the best mathematicians in France. It was his link with Marin Mersenne that gave Fermat his international reputation. Fermat loved to dabble in math and rarely provide his proofs (evidence or procedures for reaching conclusions), he would state theorems but neglected the proofs! In fact, his most Famous work 'Fermat's Last Theorem' remained without a proof until 1993 when
Richard Taylor's Home Page
Publications including the joint paper with Andrew Wiles which completed the proof of fermat's Last theorem.
http://www.math.harvard.edu/~rtaylor/
UNC Charlotte Mathematics Department - What We Know About Fermat's Last Theorem
A brief history.
http://www.math.uncc.edu/flt.php

Extractions: Back to Main Math Dept. Web Page Pierre de Fermat (1601-1665) was a lawyer and amateur mathematician. In about 1637, he annotated his copy (now lost) of Bachet's translation of Diophantus' Arithmetika with the following statement: Cubem autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et generaliter nullam in infinitum ultra quadratum potestatem in duos ejusdem nominis fas est dividere: cujus rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caparet. In English, and using modern terminology, the paragraph above reads as: There are no positive integers such that x^n + y^n = z^n for n > 2 . I've found a remarkable proof of this fact, but there is not enough space in the margin [of the book] to write it. Fermat never published a proof of this statement. It became to be known as Fermat's Last Theorem (FLT) not because it was his last piece of work, but because it is the last remaining statement in the post-humous list of Fermat's works that needed to be proven or independently verified. All others have either been shown to be true or disproven long ago.

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