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Topic: Fermats last theorem

	Fermat's last theorem
		Because Fermat refused to publish his work, his friends feared that it would soon be forgotten unless something was done about it.
		It may well be that Fermat realised that his remarkable proof was wrong, however, since all his other theorems were stated and restated in challenge problems that Fermat sent to other mathematicians.
		In 1986 the connection was made between the Shimura-Taniyama- Weil Conjecture and Fermat's Last Theorem by Frey at Saarbrücken showing that Fermat's Last Theorem was far from being some unimportant curiosity in number theory but was in fact related to fundamental properties of space.
	www-groups.dcs.st-and.ac.uk /~history/HistTopics/Fermat's_last_theorem.html (2143 words)

	Science/fermats last theorem
		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.
		Fermat claimed to have found a proof of the theorem at an early stage in his career.
		Fermat discovered and applied the method of infinite descent, which, in particular can be used to prove FLT for n=4.
	tafkac.org /science/fermats_last_theorem.html (1148 words)

	The Mathematics of Fermat's Last Theorem
		Theorem B is even harder still, and it is the theorem of which Andrew Wiles first claimed a proof in 1993, thus proving FLT as well.
		Theorem B certainly seems, to one unfamiliar with the territory, to be quite technical and abstruse.
		Theorem B and more general forms of the Taniyama-Shimura Conjecture can be viewed in yet another way to affirm that there is a very significant relationship between modular functions and elliptic curves.
	cgd.best.vwh.net /home/flt/fltmain.htm (2364 words)

	PlanetMath: Fermat's last theorem
		Fermat's last theorem was put forth by Pierre de Fermat around 1630.
		Fermat's last theorem was actually a conjecture and remained unproved for over 300 years.
		We cannot imagine how Fermat's last theorem could be proved without these advanced mathematical tools, which include group theory and Galois theory, the theory of modular forms, Riemannian topology, and the theory of elliptic equations.
	planetmath.org /encyclopedia/FermatsLastTheorem.html (589 words)

	Fermat's Last Theorem
		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.
		Fermat claimed to have found a proof of the theorem at an early stage in his career.
		Fermat discovered and applied the method of infinite descent, which, in particular can be used to prove FLT for n=4.
	www.mcs.csuhayward.edu /~malek/Mathlinks/Lasttheorem.html (1172 words)

	Fermat's Last Theorem \| World of Mathematics
		Fermat's last theorem is one of the most famous theorems of mathematics.
		Fermat's statement was found by his son as a marginal note that the great mathematician had made in his volume of Diophantus's Arithmetica.
		In the margin Fermat wrote the above statement, then words that have become notorious among mathematicians: "I have discovered a truly remarkable proof which this margin is too small to contain." Since that time, mathematicians have speculated whether Fermat was really able to prove the theorem, or whether he was mistaken or bluffing.
	www.bookrags.com /sciences/mathematics/fermats-last-theorem-wom.html (1230 words)

	Fermats last theorem - ExampleProblems.com
		Fermat's last theorem (sometimes abbreviated as FLT and also called Fermat's great theorem) is one of the most famous theorems in the history of mathematics.
		While the theorem itself has no known direct use (i.e., it has not been used to prove any other theorem), it has been shown to be connected to many other topics in mathematics, and is not merely an unimportant mathematical curiosity.
		Fermat's last theorem appears on the flboard as a homework assignment in the classroom scene of the 2000 movie Bedazzled.
	www.exampleproblems.com /wiki/index.php/Fermats_last_theorem (1644 words)

	Timeline of Fermat's Last Theorem
		Fermat published anonymously a dissertation on the rectification of curves Lalouvé published in 1660 as an appendix to his book on the cycloid.
		Fermat pondered publication of his work on a few occasions, but he insisted on anonymity because the amount of supervision required to produce an adequate copy.
		The theorem divides FLT into two cases: Case I for numbers that are not divisible by 5, and Case II for numbers that are.
	www.public.iastate.edu /~kchoi/time.htm (2119 words)

	FLT -The Book
		Fermat by then was far more than a theorem.
		had dreamed of proving Fermat ever since he first read about the theorem as a boy of ten in his local library.
		Fermat's Last Theorem is the true story of how mathematics' most challenging problem was made to yield its secrets is a thrilling tale of endurance, ingenuity and inspiration.
	www.simonsingh.net /Fermats_Last-Theorem_The_Book.html (243 words)

	Fermat's Last Theorem (Site not responding. Last check: )
		Fermat had no intention of publishing, or even writing down this proof, so it was left to other mathematicians to try and work out what this proof could be.
		Fermat had managed to isolate himself from his colleagues at the Parisian school of mathematics and was not fondly remembered by his frustrated correspondants.
		Fermat's Last Theorem is a problem of immense difficulty, and yet it can be stated in a form that a schoolchild can understand.
	people.bath.ac.uk /ma1nlb/MATH0126.html (1877 words)

	Fermat's Last Theorem: A Brief Summation
		Fermat's Last Theorem represents an impossibility for attaining relations of equivalency for any number or any power greater than two, whether it be in whole numbers or in fractions.
		A proof of Fermat's Last Theorem can only be explained as of the repeat patterns of the last-digit terminations of the products of the terms and exponents of the equation, with regard to the laws of simple addition.
		The alpha-symbolic representation of Fermat's Last Theorem has possibly contributed to its misapprehension, since it may have caused some scholars to concentrate their analytical efforts on the terms and exponents of the equation, instead of on the products of those terms and exponents.
	www.earthmatrix.com /fermats/brief_summation.htm (838 words)

	Internet Archive: Details: Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas
		They give a little mathematical insight as to how they went about proving fermats last theorum but then throw in some history of what this or that guy contributed in whatever year without giving much mathematical detail and delineate from their original lecture.
		I'm sure it will be very boring to many people since much of it is history of mathematicians, timelines of people you don't know and their very very general history culminated throughout dry powerpoint lectures.
		This is a video of a "fermat fest" was made 5 weeks after the proof by andrew wiles was made public.
	www.archive.org /details/fermats_last_theorem (419 words)

	AbeBooks: Suchergebnisse - Aczel und Fermats Last Theorem
		Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem (ISBN: 9780385319461)
		MwSt-Nachweis.; Titel:Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem; Autoren: Amir D. Aczel; Verlag: DELTA.
		Fermat's Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem WE ARE A UK BASED SELLER.
	www.abebooks.de /search/sortby/3/an/Aczel+/tn/+Fermats+Last+Theorem (1283 words)

	Amazon.co.uk: Fermat's Last Theorem: Books: Simon Singh (Site not responding. Last check: )
		The solution of Fermat's Last Theorem is the most important mathematical development of the 20th century.
		singh starts at pythagoras' theorem that x² + y² = z², explains how this is proved, and brings you on the journey that logically follows - leading right up to the proof that this is true only for squared numbers and not cubed or greater numbers.
		The history of Fermat's last theorem is fascinating too.
	www.amazon.co.uk /Fermats-Last-Theorem-Simon-Singh/dp/1841157910 (1304 words)

	Horizon - Fermat's Last Theorem
		Fermat owned a copy of this book, which is a book about numbers with lots of problems, which presumably Fermat tried to solve.
		Fermat's original notes were lost, but they can still be read in a book published by his son.
		So then a natural question is, the question Fermat raised: supposing you change from squares, supposing you replace the two by three, by four, by five, by six, by any whole number 'n', and Fermat said simply that you'll never find any solutions, however, however far you look you'll never find a solution.
	www.cs.wichita.edu /~chang/fermat.html (4959 words)

	NOVA Online \| The Proof \| Solving Fermat: Andrew Wiles
		AW: Fermat was a 17th-century mathematician who wrote a note in the margin of his book stating a particular proposition and claiming to have proved it.
		I've read letters in the early 19th century which said that it was an embarrassment to mathematics that the Last Theorem had not been solved.
		My wife had heard of Fermat's Last Theorem, but at that time she had no idea of the romantic significance it had for mathematicians, that it had been such a thorn in our flesh for so many years.
	www.pbs.org /wgbh/nova/proof/wiles.html (2546 words)

	Bluffer's Guide to Fermat's Last Theorem
		Andrew Wiles, "Modular elliptic curves and Fermat's last theorem," pp.
		Gerd Faltings, "The proof of Fermat's last theorem by R. Taylor and A. Wiles," Notices of the American Mathematical Society, 42 (7), July 1995, pp.
		The Mathematics of Fermat's Last Theorem (by Charles Daney)
	math.stanford.edu /~lekheng/flt (552 words)

	Science/fermats last theorem
		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.
		Fermat claimed to have found a proof of the theorem at an early stage in his career.
		Fermat discovered and applied the method of infinite descent, which, in particular can be used to prove FLT for n=4.
	www.tafkac.org /science/fermats_last_theorem.html (1148 words)

	Fermat's Last Theorem
		Fermat claimed to "have a truly marvelous demonstration of this proposition which this margin is too narrow to contain".
		One argument in favor of the existence of such a solution is that all other Fermat's theorems were shown to be true soon after their publication (hence the name Fermat's "Last" Theorem).
		It is hard to connect the Last Theorem to other parts of mathematics, which means that powerful mathematical ideas can't necessarily be applied to it.
	users.forthnet.gr /ath/kimon/FLT.htm (697 words)

	Fermat's Last Theorem
		Pythagoras, a Greek philosopher, around the 5th Century BC generalized the theorem which states that in a right triangle the area of the square of the hypotenuse is the sum of the areas of the squares of the other two sides.
		I would argue that Fermat's Last Theorem was an answer to possibly a wrong question, if the intent was to extend the Babylonian triples to higher dimensions.
		Cursory reading of a few books on the subject has not revealed any conjecture or a theorem on the "even" or "balanced" case, where the number of summands is equal to the power of z.
	www.public.iastate.edu /~kchoi/fermat.htm (1628 words)

	Fermats Last Theorem - Search Results - MSN Encarta
		Fermats Last Theorem - Search Results - MSN Encarta
		Fermat's Last Theorem, in mathematics, famous theorem which has led to important discoveries in algebra and analysis.
		Fermat, Pierre de (1601-1665), French mathematician, born in Beaumont-de-Lomagne.
	uk.encarta.msn.com /Fermats_Last_Theorem.html (98 words)

	Pierre de Fermat \| Fermat's Last Theorem (Site not responding. Last check: )
		The thing for which Fermat is most well known is his so-called 'Last Theorem'.
		What follows is an outline of the background to the theorem, and the events that have led to the discovery of a proof.
		By simply changing the '2' to a '3' in Pythagoras' Theorem, Fermat had gone from an equation with an infinite number of solutions to one with none (that he could find).
	www.adrianbailey.co.uk /fermat/flt.html (577 words)

	Vedic Ganita
		Three of these proofs of FLT were published in "Modern Science & Vedic Science" (Volume 3 No.1, 1989) with the caption "Vedic Mathematical Concepts and Their Applications to Unsolved Mathematical Problems: Three Proofs of Fermat's Last Theorem".
		Then followed the book "Fermat's Last Theorem and Higher Spaces Reality Course" (1996) in which in addition to the outline of different formats of the approaches to the proof and in addition to the general proof of FLT, the result of the theorem has been generalised as Generalised FLT for whole range of hypercubes.
		Kapoor's results generalized the theorem as a geometric property of hypercubes by a shift from linear dimensional order to a spatial dimensional order.
	www.vedicganita.org /fermat.htm (443 words)

	The final stages in proving Fermat's Last Theorem
		Fermat’s Last Theorem proposed that one would never find any solution if the degree ‘2’ in the above equation is replaced by any whole number greater than 2.
		Fermat scribbled in the margin of a book saying that, ‘I have discovered a truly marvellous proof, which this margin is too small to contain.’
		Thus, to prove Fermat’s Last Theorem is to prove that the Taniyama-Shimura conjecture is correct, i.e.
	library.thinkquest.org /28049/final_stages_in_proving_fermat.htm (778 words)

	Math Forum: Ask Dr. Math FAQ: Fermat's Last Theorem
		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.
		Fermat's "truly marvelous proof" is now believed to have been faulty.
		This is the contribution made by Andrew Wiles, and the final stage in establishing Fermat's Last theorem.
	mathforum.org /dr.math/faq/faq.fermat.html (413 words)

	Fermat's Last Theorem. Treasured Found.
		Fermat's Last Theorem is one of the most famous theorems in the history of mathematics.
		Despite how closely the problem is related to the Pythagorean theorem, which has infinite solutions and hundreds of proofs, Fermat's subtle variation is much more difficult to prove.
		The 17th-century mathematician Pierre de Fermat wrote in 1637 in his copy of Claude-Gaspar Bachet's translation of the famous Arithmetica of Diophantus: "I have a truly marvelous proof of this proposition which this margin is too narrow to contain."
	agutie.homestead.com /files/world_news_map/fermat_last_theorem_1.htm (752 words)

	Chris Windley's Project (Site not responding. Last check: )
		This was almost certainly written(as a margin note) in 1630 when he first studied Diophantus' Arithmetica.It may be that he realised his proof was wrong since all his other theorems were restated in challenges to other mathematicians, although the special cases of n=3 and n=4 were issued as challenges.
		This was connecteed to Fermat's Last Theorem by Frey in 1986, showing the Theorem was not just a curiosity but connected to fundamental properties of space.
		Andrew Wiles, a british mathematician working at Princeton in America, claimed to have a proof, by proving certain cases of the Shimura-Taniyama-Weil conjecture and having Fermat's last theorem as a corollary.
	people.bath.ac.uk /cw258/theorem.html (468 words)

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