21. [FERMAT, Pierre De] DIOPHANTUS Of Alexandria, Arithmeticorum Libri Fermat's Last Theorem FERMAT, Pierre de diophantus of alexandria Arithmeticorum libri sex, et de libris multangulis liber unus. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

22. Quotes About Diophantus Of Alexandria. Read Quotes By And About Diophantus Of Al diophantus of alexandria. Read quotes by and about diophantus of alexandria here! http://quotes.worldvillage.com/i/b/Diophantus_of_Alexandria

People Occupations Literary Works Proverbs ... WorldVillage Diophantus of Alexandria (There is currently no text in this page) Retrieved from " http://www.quotesplace.com/i/b/Diophantus_of_Alexandria This document is licensed under the GNU Free Documentation License (GFDL), which means that you can copy and modify it as long as the entire work (including additions) remains under this license. GFDL SOURCE Read our

23. Diophantus diophantus of alexandria ΔιόφανÏ?οÏ? ο ΑλεξανδρεύÏ? - (circa 200/214 diophantus of alexandria by JJ O Connor and EF Robertson http://www.algebra.com/algebra/about/history/Diophantus.wikipedia

Diophantus Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over $120,000 has been donated since the drive began on 19 August. Thank you for your generosity! Diophantus Diophantus of Alexandria - Διόφαντος ο Αλεξανδρεύς - (circa - circa ) was an ancient Greek mathematician . He was known for his study of equations with variables which take on rational values and these Diophantine equations are named after him. Diophantus is sometimes known as the "father of Algebra ". He wrote a total of thirteen books on these equations. Diophantus also wrote a treatise on polygonal numbers In , while reviewing his translated copy of Diophantus' Arithmetica (pub. ca. Pierre de Fermat wrote his famous " Last Theorem " in the page's margins. His copy with his margin-notes survives to this day. Although little is known about his life, some biographical information can be computed from his epitaph (see links below). He lived in Alexandria and he died when he was 84 years old. Diophantus was probably a Hellenized Babylonian This biographical article about a mathematician is a stub . You can help Wikipedia by expanding it External links Diophantus of Alexandria by J. J. O'Connor and E. F. Robertson

24. [FERMAT, Pierre De] DIOPHANTUS Of Alexandria, Arithmeticorum Libri Sex, Et De Li Folio (348 x 225 mm), pp xii 64; 341 recte 343 1 48, with engraved vignette on title and two engraved headpieces; a very large, clean copy in http://www.polybiblio.com/watbooks/2444.html

2 for which the equation xn + yn = zn holds true for the positive integers x, y, and z. Fermat claimed in his note to have discovered a '"very wonderful demonstration" (demonstratio sane mirabilis) of this theorem that the margin was too narrow to contain, a claim that has tantalized mathematicians ever since. The remainder of Fermat's notes contained a large number of theorems on the theory of numbers, only one of which he himself proved; the rest were proven in the eighteenth century' (Norman catalogue). Of course since the above was written Fermat's theorem has been proved by Andrew Wiles, with the collaboration of several other mathematicians. The collation of this copy agrees with Norman and several other copies recorded. However, a very few copies contain a portrait, and occasionally an errata leaf, both of which appear to have been issued later as witnessed by the number of copies in their original bindings, as this one, with no evidence of removal. Norman 777; Parkinson p 111"> W. P. Watson Antiquarian Books

25. Diophantus - Definition Of Diophantus In Encyclopedia diophantus of alexandria (circa 200/214 circa 284/298) was an ancient Greek mathematician. Little is known about his life. He lived in Alexandria and he http://encyclopedia.laborlawtalk.com/Diophantus

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... Tax Law Diophantus of Alexandria (circa - circa ) was an ancient Greek mathematician Little is known about his life. He lived in Alexandria and he died when he was 84 years old. Probably Diophantus was a Hellenized Babylonian He was known for his study of equations with variables which take on rational values and these Diophantine equations are named after him. Diophantus is sometimes known as the "father of Algebra It was in the margin of a translation from Greek to Latin of Diophantus' work Aritmetike The Arithmetic ) from circa that Pierre de Fermat wrote his famous comment that is known as Fermat's last theorem Diophantus also wrote a treatise about polygonal numbers Missing image David_face.png David's face This biographical article is a stub . You can help Wikipedia by expanding it External links Diophantus of Alexandria http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Diophantus.html by J. J. O'Connor and E. F. Robertson

26. Comments On Swift, J. D., Diophantus Of Alexandria Comments on Swift, JD, diophantus of alexandria. Comments. Comments apply to the article. in general only in connection with the page Diophantus. http://math.truman.edu/cgi-bin/thammond/makebibcomment.pl?code=ff29&cat=Diophant

27. Comments On Swift, J. D., Diophantus Of Alexandria Comments on Swift, JD, diophantus of alexandria. Comments. Comments apply to the article. in general only in connection with the page Algebra. http://math.truman.edu/cgi-bin/thammond/makebibcomment.pl?code=ff29&cat=Algebra&

28. No. 833: Fermat's Last Stand Fermat read the old arithmetic text by diophantus of alexandria the part on Pythagoras s theorem The sum of the squares on legs of a right triangle http://www.uh.edu/engines/epi833.htm

No. 833: FERMAT'S LAST STAND by John H. Lienhard Click here for audio of Episode 833. Today, God help us, we reach the mountaintop. The University of Houston's College of Engineering presents this series about the machines that make our civilization run, and the people whose ingenuity created them. Y ears ago, on the closing night of Pinafore , I found the contralto lead sitting on a sandbag backstage, weeping. The play was done. Her moment was finished. The problem with any mountaintop experience is, you can only come down off the mountain. The French mathematician Pierre de Fermat created one of our great intellectual mountaintops in 1637. Fermat read the old arithmetic text by Diophantus of Alexandria the part on Pythagoras's theorem: The sum of the squares on legs of a right triangle equals the square on the hypotenuse. Fermat wondered about the sum of cubes or fifth powers. Finally, he wrote in the margin that he could show it wouldn't work for any whole number power greater than two. "I've found for this a truly wonderful proof, but the margin won't hold it."

29. Personal Names diophantus of alexandria search TmiWeb for this person diophantus of alexandria. More information. Biography by Baldi (from Cronica) http://euromusicology.cs.uu.nl:6334/dynaweb/info/persinfo/persons/@Generic__Book

Expand Search Personal names D Diophantus of Alexandria Diophantus of Alexandria More information Biography by Baldi (from Cronica

30. Personal Names search TmiWeb for this person diophantus of alexandria. More information. Biography by Baldi (from Cronica). search TmiWeb for this person Dioscorus http://euromusicology.cs.uu.nl:6334/dynaweb/info/persinfo/persons/@Generic__Book

Expand Search Personal names D D Dürer, Albert Born: 1471; died: 1528. German painter and engraver. More information Biography by Baldi (from Cronica Daca, Carlo Mentioned in Baldi, Cronica Daco, Aquino Mentioned in Baldi, Cronica Damasus, Saint Born: c. 304; died: 384. Pope from 366, commissioned St. Jerome to revise the text of the Latin bible. Dametas (?) Born: ; died: . Damianus of Larissa More information Biography by Baldi (from Cronica Damon Name variants: Damone Pithagorico Born: ; died: . Pythagorean philosopher, living in Syracuse. Daniel Name variants: Daniele Lived: c. 600 BC. Biblical figure. Dante Alighieri Born: 1265; died: 1321. Italian poet and philosopher Non-musical writings Purgatorio (better: entire divina commedia) Danti, Egnatio Mentioned in Baldi, Cronica Daphnis Legendary Sicilian shepherd, loved by the nymph Chloe. Darc?, Nicolo? Dedicatee of Aaron's Lucidario David Lived: c. 970 BC. Biblical figure, King of Israel. De Monte, Juan Renaissance composer?, mentioned in Aaron's Toscanello De Vitali, Bernardino

31. Diophantus Of Alexandria The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://episte.math.ntu.edu.tw/people/p_diophantus/

Diophantus of Alexandria ¥áµf¹Ï ·j´M Diophantusªº¤@¥Í¡A¥®¦~¦û¥h ¡A¤S¹L¤F ¤~ªøÄG¤l¡A ¤S¹L¤F ¥O x ªí¨ä¹Ø©R¡A«h ±o x ¡C °ÝD¡G ±N¨â¥­¤è¼Æ¤§©M¼g¦¨¥t¨â¥­¤è¼Æ¤§©M¡C ¸Ñªk¡G ¥O¤wª¾¼Æ¬° 13¡A¥¦¬O 2»P 3ªº¥­¤è©M¡C ¥t¤@¥¿¤è§Îªºäªø¬° s ¡A¥t¤@¥¿¤è§Îªºäªø¬° s ¡A «h«e¤@¥¿¤è§Îªº­±¿n¬° s s ¡A«á¤@­Óªº¬° s s ¡A ¦X°_¨Ó¬O s s ¡A³o­nµ¥©ó13 ¡A¦]¦¹ ¡A ¦¹¤G¥¿¤è§Î¤§­±¿n¬° ¡A ¥H¤Î ¡A¥¦­Ì¤§©M½T¹ê¬° 13¡C ¹ï¥~·j´MöÁä¦r¡G ¡D Diophantus ¡]¼¶½Z¡GªLÁo·½¢A²M¤j¼Æ¾Ç¨t¡^ MacTutor ¡]­Y¦³«ü¥¿¡Bº°Ý¡K¡K¡A¥i¥H¦b¦¹ ¯d¨¥ ¼g«H µ¹§Ú­Ì¡C¡^ ¦Uºô­¶¤å³¹¤º®e¤§µÛ§@Åv¬°­ìµÛ§@¤H©Ò¦³ ½s¿è¡G±d©ú°a

32. Diophanfin.html diophantus of alexandria . http//wwwhistory.mcs.st-andrews.ac. uk/history/Mathematicians/Diophantus.html. Feb. 11, 1999. Gow, James. http://www.ms.uky.edu/~carl/ma330/projects/diophanfin1.html

DIOPHANTINE EQUATIONS Submitted by: MA 330-002 Dr. Carl Eberhart February 16, 1999 DIOPHANTINE EQUATIONS HISTORY: Because little is known on the life of Diophantus, historians have approximated his birth to be at about 200 AD in Alexandria, Egypt and his death at 284 AD in Alexandria as well. Diophantus married at the age of 33 and had a son who later died at 42, only 4 years before Diophantus' death at 84. He is best known for his work, Arithmetica , which contains 13 books "consisting of 130 problems giving numerical solutions to determinate equations (those with a unique solution) and indeterminate equations" (Diophantus). The method he formulated for solving later became known as Diophantine analysis. From his book, Arithmetica , only 6 of the 13 books have survived. Scholars who studied his works concluded that "Diophantus was always satisfied with a rational number and did not require a whole number" (Diophantus). He did not deal with negative solutions and only required one solution to a quadratic equation, which was what most of the Arithmetica problems led to (Diophantus). Brahmagupta was the first to give the general solution of the linear Diophantine equation ax + by = c (Boyer 221). Diophantus did not use sophisticated algebraic notation. He did, however, introduce an algebraic symbolism that used an abbreviation for the unknown he was solving for (Diophantus). He also gained fame from another book called

33. Diophantus - Linix Encyclopedia diophantus of alexandria ?fa?t ? e?a?d?e - (circa 200/214 - circa 284/298) was an ancient Greek mathematician. He was known for his study of http://web.linix.ca/pedia/index.php/Diophantus

Diophantus Diophantus of Alexandria - circa ) was an ancient Greek mathematician . He was known for his study of equations with variables which take on rational values and these Diophantine equations are named after him. Diophantus is sometimes known as the "father of Algebra ". He wrote a total of thirteen books on these equations. Diophantus also wrote a treatise on polygonal numbers In , while reviewing his translated copy of Diophantus' Arithmetica (pub. ca. Pierre de Fermat wrote his famous " Last Theorem " in the page's margins. His copy with his margin-notes survives to this day. Although little is known about his life, some biographical information can be computed from his epitaph (see links below). He lived in Alexandria and he died when he was 84 years old. Diophantus was probably a Hellenized Babylonian Missing image David_face.png This biographical article about a mathematician is a stub . You can help Wikipedia by expanding it edit External links Diophantus of Alexandria http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Diophantus.html by J. J. O'Connor and E. F. Robertson

34. Citations diophantus of alexandria http//www-groups.dcs.st-andrews.ac tory/Mathematicians/Diophantus. html 02/08/2001 1056am. diophantus of alexandria http://derrel.net/math/diophantus/citations.htm

Citations Diophantus of Alexandria -http://www-groups.dcs.st-andrews.ac...tory/Mathematicians/Diophantus. html 02/08/2001 10:56am Diophantus of Alexandria -wysiwyg://38http://www.cenius.fsn...r/maths/articles/d/ diophantus.html 02/19/2001 10:56am Diophantine equation -wisely://40/http://www.cenius.fsn...articles/d/diophantine.equation.html 02/19/2001 8:53 am Biography of Diophantus http://www.lib.virginia.edu/science/parshall/diophantus.html "Algebra" World Book Encyclopedia 1993 edition Diophantus and Diophantine equations http://www.maa.org/pubs/book/do720.html 02/14/2001 9:18 am Britannica World Book Encyclopedia Hyperlinks Algebra Autobiography Citations Home Page ... How to Use Algebra

35. Algebra - Patterns - Themepark Meet diophantus of alexandria. He is known as the Father of Algebra. Evariste Galois http//scidiv.bcc.ctc.edu/Math/Galois.html Get to know Evariste Galois. http://www.uen.org/themepark/patterns/algebra.shtml

Tessellations General Math Fractions/Decimals Geometry ... Patterns Algebra Algebra is the branch of mathematics concerned with operations on sets of numbers or other elements that are often represented by symbols. Sample some of the following activities to learn more about algebra. Places To Go People To See Things To Do Teacher Resources ... Bibliography Places To Go The following are places to go (some real and some virtual) to find out about algebra. Girls to the Fourth Power http://www.stanford.edu/~meehan/xyz/girls4.html Visit Stanford University and learn about a program that they developed called Girls to the Fourth Power. The program is committed to overcoming the "math block" that is widely perceived to affect many girls. Learn about some of the strategies that they used. Arabic Mathematics : Forgotten Brilliance? http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Arabic_mathematics.html Greece is not the only place that produced brilliant mathematicians. Travel to ancient Arabia and learn about the contributions that Arabian thinkers made to the science of mathematics. Illuminations: Algebra Resources This site features links to 100+ sites that deal with algebraic concepts. Each site has been reviewed by math professionals to ensure its academic value.

36. History Of Mathematics: Greece Abdera Democritus; Alexandria Apollonius, Aristarchus, Diophantus, Eratosthenes, Euclid, 200); diophantus of alexandria (c. 250?) Porphyry (c. 234c. http://aleph0.clarku.edu/~djoyce/mathhist/greece.html

Greece Cities Abdera: Democritus Alexandria : Apollonius, Aristarchus, Diophantus, Eratosthenes, Euclid , Hypatia, Hypsicles, Heron, Menelaus, Pappus, Ptolemy, Theon Amisus: Dionysodorus Antinopolis: Serenus Apameia: Posidonius Athens: Aristotle, Plato, Ptolemy, Socrates, Theaetetus Byzantium (Constantinople): Philon, Proclus Chalcedon: Proclus, Xenocrates Chalcis: Iamblichus Chios: Hippocrates, Oenopides Clazomenae: Anaxagoras Cnidus: Eudoxus Croton: Philolaus, Pythagoras Cyrene: Eratosthenes, Nicoteles, Synesius, Theodorus Cyzicus: Callippus Elea: Parmenides, Zeno Elis: Hippias Gerasa: Nichmachus Larissa: Dominus Miletus: Anaximander, Anaximenes, Isidorus, Thales Nicaea: Hipparchus, Sporus, Theodosius Paros: Thymaridas Perga: Apollonius Pergamum: Apollonius Rhodes: Eudemus, Geminus, Posidonius Rome: Boethius Samos: Aristarchus, Conon, Pythagoras Smyrna: Theon Stagira: Aristotle Syene: Eratosthenes Syracuse: Archimedes Tarentum: Archytas, Pythagoras Thasos: Leodamas Tyre: Marinus, Porphyrius Mathematicians Thales of Miletus (c. 630-c 550)

37. History Of Mathematics: Chronology Of Mathematicians 178187); Wang Fan (217-257); diophantus of alexandria (c. 250?) *SB *MT; Sun Zi (c. 250?) Zhao Shuang (Jun Qing) (c. 260); Liu Hui (c. http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Chronological List of Mathematicians Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan Table of Contents 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below List of Mathematicians 1700 B.C.E. Ahmes (c. 1650 B.C.E.) *MT 700 B.C.E. Baudhayana (c. 700) 600 B.C.E. Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) 500 B.C.E. Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB

38. Alexandrian Algebra According To Diophantus Algebra can best be viewed through the work of diophantus of alexandria. diophantus of alexandria had a great impact in the world of mathematics. http://www.math.rutgers.edu/courses/436/436-s00/Papers2000/kirschm.html

Alexandrian Algebra according to Diophantus Marni Kirschenbaum History of Mathematics Spring 2000 Alexandrian Algebra can best be viewed through the work of Diophantus of Alexandria. Diophantus of Alexandria had a great impact in the world of mathematics. He is often referred to as the father of Algebra. He produced only a few works, but their influence on mathematics was far reaching. He is known for considering only rational solutions to equations: a negative or irrational solution was considered preposterous. Moreover , he usually obtained only one such rational solution. Numerous scholars have analyzed the methods of Diophantus in detail. It is these styles and methods of solving equations that are most interesting to those who study him, and most difficult to understand, since Diophantus rarely recorded general formulas. The interpretations of his work by Nesselmann and Heath will be examined here, and we will attempt to determine which of these interpretations reflects his work more accurately. The most interesting work of Diophantus is his Arithmetica , which originally contained thirteen books, of which, unfortunately, only six survived, though Diophantus stated in the first book of Arithmetica that it would include thirteen books. Other evidence to support the assumption that additional books had in fact been written is the fact that certain propositions and concepts are left unproved and unexplained in the text as we have it. Gow notes that historians do not think that the propositions of Arithmetica are now found in the order in which they were originally written, and that essential discussions of determinate quadratic equations and indeterminate simple equations are excluded (102). Gow and Heath both refer to another work by Diophantus on Polygonal Numbers that was significantly altered from its original state, so that many proofs are now incomplete. A third work by Diophantus is called

39. Diophantine M-tuples, Classical References TL Heath, diophantus of alexandria. A Study in the History of Greek Algebra. diophantus of alexandria, Arithmetics and the Book of Polygonal Numbers, http://www.math.hr/~duje/refclas.html

Diophantine m-tuples Classical references (Diophantus, Fermat, Euler): Diophanti Alexandrini, Arithmeticorum Libri Sex , cum commentariis C. G. Bacheti et observationibus D. P. de Fermat, Tolouse 1670; Lib. IV, q. XXI, p. 161. Diophante d'Alexandrie, Les six livres arithmetiques et le livre des nombres polygones , (P. ver Ecke, ed.), De Brouwer et Cie, Bruges, 1926; Paris, 1959, pp. 136-137. T. L. Heath, Diophantus of Alexandria. A Study in the History of Greek Algebra. With a supplement containing an account of Fermat’s theorems and problems connected with Diophantine analysis and some solutions of Diophantine problems by Euler , (Cambridge, England, 1910), Powell's Bookstore, Chicago; Martino Publishing, Mansfield Center, 2003, pp. 162-164, 177-181, 344-349. Diophantus of Alexandria, Arithmetics and the Book of Polygonal Numbers , (I. G. Bashmakova, ed.), Nauka, Moscow, 1974 (in Russian), pp. 103-104, 232. P. Fermat, Observations sur Diophante, Oeuvres de Fermat , Vol. 1 (P. Tannery, C. Henry, eds.), 1891, p. 393. L. Euler

40. Thomas Heath: New & Used Books Search Result For Thomas Heath diophantus of alexandria A Study In The History Of Greek Algebra By Thomas L. Heath Hardcover / Martino Pub / February 2003 / 1578984033 http://www.fetchbook.info/search_Thomas_Heath/searchBy_Author.html

Bookmark Recommend Us Enhance Your Site Browse Books ... Forums New! Help Keyword Title Author ISBN Welcome Guest [Sign In] Searched in books for Thomas Heath books matched your search. Search took seconds. All Categories Mathematics General Mathematics, Greek ... Add Review Works of Archimedes (Illustrated) By Archimedes Thomas Little Heath Thomas Heath (Translator) Paperback / 51 Pages / Dover Pubns / April 2002 / 0486420841 List Price $24.95 / Similar to Works of Archimedes Compare Prices Add To Wish List Details ... Add Review Manual of Greek Mathematics By Thomas L. Heath Paperback / 576 Pages / Dover Pubns / December 2003 / 0486432319 List Price $29.95 / Similar to Manual of Greek Mathematics Compare Prices Add To Wish List Details ... Add Review Treatise on Conic Sections By Apollonius Thomas Little Heath Hardcover / 254 Pages / Martino Pub / August 2002 / 1578983797 List Price $55.01 / Similar to Treatise on Conic Sections Compare Prices Add To Wish List Details ... Add Review History of Greek Mathematics: From Aristarchus to Diophantus By Thomas Little Heath Paperback / Dover Pubns / June 1981 / 0486240746 List Price $19.95 / Similar to

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