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Fermat Theorem:     more books (100)

Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem by Amir D. Azcel, Amir D. Aczel, 2007-10-12 Fermat's Last Theorem for Amateurs by Paulo Ribenboim, 1999-02-11 Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem by Simon Singh, 1998-09-08 Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (Graduate Texts in Mathematics) by Harold M. Edwards, 2000-01-14 Modular Forms and Fermat's Last Theorem (Volume 0) Algebraic Number Theory and Fermat's Last Theorem: Third Edition by Ian Stewart, David Tall, 2001-12-01 Invitation to the Mathematics of Fermat-Wiles by Yves Hellegouarch, 2001-10-17 The World's Most Famous Math Problem: The Proof of Fermat's Last Theorem and Other Mathematical Mysteries by Marilyn vos Savant, 1993-10-15 Notes on Fermat's Last Theorem by Alfred J. van der Poorten, 1996-02-02 Elliptic Curves, Modular Forms and Fermat's Last Theorem, 2nd Edition by various, 1998-01-01 Number Theory Related to Fermat's Last Theorem (Progress in Mathematics) by Neal Koblitz, 1983-04 Fermat's Last Theorem by Ran Van Vo, 2002-03 Seminar on Fermat's Last Theorem: 1993-1994 The Fields Institute for Research in Mathematical Sciences Toronto, Ontario, Canada (Conference Proceedings (Canadian Mathematical Society)) Fermat's Last Theorem Proved: Award Offered for Refutation by Shafi U. Ahmed, 1990-03-15

lists with details

1. 570130017X: "The Great Fermat Theorem Is Finally Proved For All N2" By V. S. Yar
   Find the best deals on The Great Fermat Theorem Is Finally Proved for All N2 by V. S. Yarosh (570130017X)  
   http://www.bookfinder.com/dir/i/The_Great_Fermat_Theorem_Is_Finally_Proved_for_A

2. Little Fermat Theorem - Definition
   Fermat's little theorem states that if p is a prime number, then for any integer a, math a^p \equiv a \pmod{p} math This means that if you take some number a, multiply it by  
   http://www.wordiq.com/definition/Little_Fermat_theorem
   
   Extractions: Fermat's little theorem states that if p is a prime number , then for any integer a This means that if you take some number a , multiply it by itself p times and subtract a , the result is divisible by p (see modular arithmetic ). It is often stated in the following equivalent form: if p is a prime and a is an integer coprime to p , then It is called Fermat's little theorem to differentiate it from Fermat's last theorem Fermat's little theorem is the basis for the Fermat primality test Contents showTocToggle("show","hide") 1 History 6 External links Pierre de Fermat found the theorem around . It appeared in one of his letters, dated October 18 to his confidant Frenicle as the following: p divides a p p is prime and a is coprime to p Chinese mathematicians independently made the related hypothesis (sometimes called the Chinese Hypothesis) that p p p is prime), and therefore the hypothesis as a whole, is false (e.g. 341=11×31 is a pseudoprime , see below). It is widely stated that the Chinese hypothesis was developed about 2000 years before Fermat's work in the 1600's. Despite the fact that the hypothesis is partially incorrect, it is noteworthy that it may have been known to ancient mathematicians. Some, however, claim that the widely propagated belief that the hypothesis was around so early sprouted from a misunderstanding, and that it was actually developed in 1872. For more on this, see (Ribenboim, 1995).

3. Little_fermat_theorem Synonyms, Little_fermat_theorem Antonyms | Thesaurus.com
   No results found for Little_fermat_theorem Please try spelling the word differently, searching another resource, or typing a new word. Search another word or see Little  
   http://thesaurus.com/browse/Little_Fermat_theorem

4. CG's Site - Fermat Theorem And Pseudoprime Numbers
   One useful properties of Fermat Theorem is for testing primality of a number. Fermat Theorem If p is prime, then a p = a (mod p) for any integer a  
   http://chikaradirghsa.multiply.com/journal/item/24/Fermat_Theorem_and_Pseudoprim

5. Fermat's Last Theorem -- From Wolfram MathWorld
   Oct 28, 1997 Fermat s last theorem is a theorem first proposed by Fermat in the form of a note scribbled in the margin of his copy of the ancient Greek  
   http://mathworld.wolfram.com/FermatsLastTheorem.html

6. NOVA Online | The Proof
   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  
   http://www.pbs.org/wgbh/nova/proof/

7. Fermat's Last Theorem
   The purpose of this blog is to present the story behind Fermat's Last Theorem and Wiles' proof in a way accessible to the mathematical amateur.  
   http://fermatslasttheorem.blogspot.com/
   
   Extractions: The purpose of this blog is to present the story behind Fermat's Last Theorem and Wiles' proof in a way accessible to the mathematical amateur. A while ago, Terence Tao sent me this great link to a list of professional math blogs. As many of you know, I am an amateur mathematician which means that there is every chance that you may find mistakes and typos on this blog. Even as I feel that an amateur's perspective can shed light on understanding the foundations of mathematics, there is no substitute for the insights of the greatest mathematical minds and the writings of today's professional mathematicians. My writing should at all times be a supplement to these authoritative viewpoints.

8. Fermat's Little Theorem
   Fermat's Little Theorem. It comes from observation of multiplication tables modulo prime number p that all rows are nothing but a permutation of the first row {1, 2, , p1}.  
   http://www.cut-the-knot.org/blue/Fermat.shtml

9. Math Forum: Ask Dr. Math FAQ: Fermat's Last Theorem
   What is the current status of Fermat s Last Theorem has it been proved?  
   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.

10. Proof Of Fermat's Little Theorem
    On this page we give the proof of Fermat s Little Theorem (a variant of Lagrange s theorem). This is one of the many proof pages from the Prime Page s site.  
    http://primes.utm.edu/notes/proofs/FermatsLittleTheorem.html
    
    Extractions: Submit primes 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 > 2. This has finally been proven by Wiles in 1995. Here we are concerned with his "little" but perhaps his most used theorem which he stated in a letter to Fre'nicle on 18 October 1640: 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" [ , p79]). Euler first published a proof in 1736, but Leibniz left virtually the same proof in an unpublished manuscript from sometime before 1683. Proof.

11. Fermat S Last Theorem - Wikipedia, The Free Encyclopedia
    In number theory, Fermat s Last Theorem states that no three positive integers a , b, and c can satisfy the equation an + bn = cn for any integer value of n  
    http://en.wikipedia.org/wiki/Fermat's_Last_Theorem

12. Fermat's Last Theorem - Wikipedia, The Free Encyclopedia
    In number theory, Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation a n + b n = c n for any integer value of n greater than two.  
    http://en.wikipedia.org/wiki/Fermat's_Last_Theorem
    
    Extractions: From Wikipedia, the free encyclopedia Jump to: navigation search For other theorems named after Pierre de Fermat, see Fermat's theorem The 1670 edition of Diophantus Arithmetica includes Fermat's commentary, particularly his "Last Theorem" ( Observatio Domini Petri de Fermat In number theory Fermat's Last Theorem states that no three positive integers a b , and c can satisfy the equation a n b n c n for any integer value of n greater than two. This theorem was first conjectured by Pierre de Fermat in 1637, famously in the margin of a copy of Arithmetica where he claimed he had a proof that was too large to fit in the margin. No successful proof was published until 1995 despite the efforts of many mathematicians. The unsolved problem stimulated the development of algebraic number theory in the 19th century and the proof of the modularity theorem in the 20th. It is among the most famous theorems in the history of mathematics and prior to its 1995 proof was in the Guinness Book of World Records for "most difficult math problem". Fermat left no proof of the conjecture for all n , but he did prove the special case n Fibonacci in 1225 in his Liber quadratorum although this fact is often overlooked in discussions of Fermat's Last Theorem.) This reduced the problem to proving the theorem for

13. How Euler Did It
    Three of the other theorems are special cases of the EulerFermat Theorem. At the time, Euler can't prove any of them. By 1736, Euler makes great progress in discovering ways to  
    http://www.maa.org/editorial/euler/How Euler Did It 01 Fermats little theorem.pd

14. Fermat S Little Theorem - Wikipedia, The Free Encyclopedia
    Fermat s little theorem (not to be confused with Fermat s last theorem) states that if p is a prime number, then for any integer a, a p a will be evenly  
    http://en.wikipedia.org/wiki/Fermat's_little_theorem

15. Fermat's Little Theorem - Wikipedia, The Free Encyclopedia
    Fermat's little theorem (not to be confused with Fermat's last theorem) states that if p is a prime number, then for any integer a, a p − a will be evenly divisible by p.  
    http://en.wikipedia.org/wiki/Fermat's_Little_Theorem
    
    Extractions: From Wikipedia, the free encyclopedia   (Redirected from Fermat's Little Theorem Jump to: navigation search For other theorems named after Pierre de Fermat, see Fermat's theorem (disambiguation) Fermat's little theorem (not to be confused with Fermat's last theorem ) states that if p is a prime number , then for any integer a a p a will be evenly divisible by p . This can be expressed in the notation of modular arithmetic as follows: A variant of this theorem is stated in the following form: if p is a prime and a is an integer coprime to p , then a p p . In the notation of modular arithmetic Fermat's little theorem is the basis for the Fermat primality test Proofs Generalizations ... Pierre de Fermat first stated the theorem in a letter dated October 18, 1640 to his friend and confidant Frénicle de Bessy as the following p divides a p p is prime and a is coprime to p As usual, Fermat did not prove his assertion, only stating: Et cette proposition est généralement vraie en toutes progressions et en tous nombres premiers; de quoi je vous envoierois la démonstration, si je n'appréhendois d'être trop long. (And this proposition is generally true for all progressions and for all prime numbers; the proof of which I would send to you, if I were not afraid to be too long.)

16. Fermat's Last Theorem/Print Version - Wikimedia Labs, Collection Of Open-content
    This is the print version of Fermat's last theorem. If you print this page, choose print preview in your browser, or click printable version, you will see the page without this  
    http://en.labs.wikimedia.org/wiki/Fermat's_last_theorem/Print_Version
    
    Extractions: This book will discuss one of the most famous theorems of mathematics. It will talk about that which is commonly called Fermat’s last theorem, the subject will be confronted from a principally historic point of view, the concepts and the theorems behind the proof being too complex even for the greater part of professional mathematicians. The book will follow a time based logic starting from the beginnings of mathematics up to arrival in our times, as a matter of fact having nevertheless been enunciated in 1637, the theorem has profound implications for many branches of mathematics and the premises that give birth to it begin right in the primordial days of mathematics. Acknowledgment is given to the original version in italian on Wikibooks.it of which this book is a translation.

17. Fermat's Last Theorem
    A historical and biographical account.  
    http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem.htm
    
    Extractions: Version for printing 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.

18. Euler Function And Theorem
    Euler's generalization of the Fermat's Little Theorem depends on a function which indeed was invented by Euler (17071783) but named by J. J. Sylvester (1814-1897) in 1883  
    http://www.cut-the-knot.org/blue/Euler.shtml

19. Fermat S Last Theorem
    It is worth noting that at this stage it remained to prove Fermat s Last Theorem for odd primes n only. For if there were integers x, y, z with xn + yn = zn  
    http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Fermat's_last_theorem

20. Fermat-theorem | Define Fermat-theorem At Dictionary.com
    –noun Mathematics . the theorem that an integer raised to a prime power leaves the same remainder as the integer itself when divided by the prime. Use fermattheorem in a  
    http://dictionary.reference.com/browse/fermat-theorem

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