21. [HM] An Equation In Heath: Diophantus Of Alexandria a topic from historia HM An equation in Heath diophantus of alexandria.post a message on this topic post a message on a new topic http://mathforum.org/epigone/historia/yolbloisnix

a topic from historia [HM] An equation in Heath: Diophantus of Alexandria post a message on this topic post a message on a new topic 6 Dec 2003 [HM] An equation in Heath: Diophantus of Alexandria , by Kent Holing 7 Dec 2003 Re: [HM] An equation in Heath: Diophantus of Alexandria , by Ad en Nicole Meskens-Van der Auwera 6 Dec 2003 Re: [HM] An equation in Heath: Diophantus of Alexandria , by Franz Lemmermeyer The Math Forum

22. Diophantus Of Alexandria diophantus of alexandria. ?. http://episte.math.ntu.edu.tw/people/p_diophantus/

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23. ¥áµf¹Ï¡£Diophantus Of Alexandria¡¤ The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www.edp.ust.hk/math/history/3/3_87.htm

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24. Diophantus Of Alexandria (c. 200-284 ) Best known for his Arithmetica, a work on...... Home Detailed Information. Name diophantus of alexandria (c. 200284) http://www.science-search.org/index/Math/History/People/23298.htm

Search in Science-Search.org for: What's new Top Searches Statistics Science News ... Home : Detailed Information Name: Diophantus of Alexandria (c. 200-284 ) Description: Best known for his Arithmetica, a work on the theory of numbers, a collection of 130 problems giving numerical solutions of determinat Category: People Url: http://history.math.csusb.edu/Mathematicians/Diophantus.html Date: Current Rating: Clicks/Hits Received: Rate this web site: Rating: Votes: Web site owner: Allow people to rate your site on your site Modify your link Something wrong with this resource? Report this link as broken About Us Contact Us Site Guide ... Add Science Search to Your Web Site The Science Search Directory is based on DMOZ. Science Search has modified and enhanced this data. Submitting to DMOZ: Help build the largest human-edited directory on the web. Submit a Site Open Directory Project Become an Editor Science Search's Sponsors: Goom NL

25. [FERMAT, Pierre De] DIOPHANTUS Of Alexandria, Arithmeticorum Libri Sex, Et De Li WP Watson Antiquarian Books. Fermat s Last Theorem. FERMAT, Pierre de DIOPHANTUSof Alexandria Arithmeticorum libri sex, et de libris multangulis liber unus. 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

26. Comments On Swift, J. D., Diophantus Of Alexandria Comments on Swift, JD, diophantus of alexandria Comments Comments applyto 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. Diophantus Diophantus. diophantus of alexandria (circa 200/214 circa 284/298) wasan ancient Greek mathematician. We do not know much of his life. http://www.fact-index.com/d/di/diophantus.html

Main Page See live article Alphabetical index Diophantus Diophantus of Alexandria (circa - circa ) was an ancient Greek mathematician We do not know much of his life. It is just known that he lived in Alexandria and he died 84 years old. Probably Diophantus was Hellenized Babylonian He was known for his study of equations with variables which take on rational valuess and these Diophantine equations are named after him. Diophantus is sometimes known as the "father of Algebra It was in the margin of a French translation 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. External links Diophantus of Alexandria - Article by J. J. O'Connor and E. F. Robertson: http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Diophantus.html This article is from Wikipedia . All text is available under the terms of the GNU Free Documentation License

28. References For Diophantus References for diophantus of alexandria. Books TL Heath, Diophantusof Alexandria A Study in the History of Greek Algebra (1964). http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ53D1.htm

References for Diophantus of Alexandria Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: T L Heath, Diophantus of Alexandria: A Study in the History of Greek Algebra J Sesiano, Books IV to VII of Diophantus' 'Arithmetica' in the Arabic translation attributed to Qusta ibn Luqa (New York-Berlin, 1982). H Wussing, Diophantus, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983). Articles: Mathemata, Boethius : Texte Abh. Gesch. Exakt. Wissensch. XII (Wiesbaden, 1985), 297-315. I G Bashmakova, Diophantus of Alexandria (2nd - 3rd centuries A.D.) (Russian), Mat. v Shkole (6) (1988), i. I G Bashmakova, E I Slavutin and B A Rozenfeld, The Arabic version of Diophantus' 'Arithmetica', in Science and technology : humanism and progress II (Moscow, 1981), 151-161. I G Basmakova, E I Slavutin and B A Rozenfeld, The Arabic text of Diophantus' 'Arithmetica' (Russian), Istor.-Mat. Issled. M Cantor, I (Leipzig, 1907), 463-488. Historia Math.

29. Quotations By Diophantus Quotations by diophantus of alexandria. His epitaph. This tomb hold DiophantusAh, what a marvel! And the tomb tells scientifically the measure of his life. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ5AD0.htm

Quotations by Diophantus of Alexandria [His epitaph.] This tomb hold Diophantus Ah, what a marvel! And the tomb tells scientifically the measure of his life. God vouchsafed that he should be a boy for the sixth part of his life; when a twelfth was added, his cheeks acquired a beard; He kindled for him the light of marriage after a seventh, and in the fifth year after his marriage He granted him a son. Alas! late-begotten and miserable child, when he had reached the measure of half his father's life, the chill grave took him. After consoling his grief by this science of numbers for four years, he reached the end of his life. J R Newman (ed.) The World of Mathematics (New York 1956). Close this window or click this link to go back to Diophantus Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR August 1998 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Quotations/Diophantus.html

30. Diophantus diophantus of alexandria. Born about 200 in Alexandria,Egypt Died about 284 in Alexandria, Egypt. http://members.tripod.com/sfabel/mathematik/database/Diophantus.html

var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Diophantus of Alexandria Born: about 200 in Alexandria, Egypt Died: about 284 in Alexandria, Egypt Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Diophantus worked during the middle of the 3rd century and is best known for his Arithmetica , a work on the theory of numbers. Little is known of Diophantus's life. The most details we have (and these may not be accurate) say that he married at the age of 33 and had a son who died at the age of 42, 4 years before Diophantus himself died aged 84. Based on this information we have given him a life span of 84 years despite having no more than a very rough guide to the dates of his birth and death. The Arithmetica is a collection of 130 problems giving numerical solutions of determinate equations (those with a unique solution), and indeterminate equations. The method for solving the latter is now known as Diophantine analysis. Only 6 of the original 13 books survive and the others must have been lost quite soon after they were written since there are many Arabic translations, for example by Abu'l-Wafa , but they only contain material from these 6 books. The most famous Latin translation is due to

31. HighBeam Research: ELibrary Search: Results made considerable advances in techniques for solving particular kinds of equationsand these techniques were summarized by diophantus of alexandria. http://www.highbeam.com/library/search.asp?FN=AO&refid=ency_refd&search_dictiona

32. 235 A.D. 235 AD. In the year 235 AD, diophantus of alexandria was thirtyfiveyears old and the only prominent mathematician alive. At this http://faculty.oxy.edu/jquinn/home/Math490/Timeline/235AD.html

235 AD In the year 235 A.D., Diophantus of Alexandria was thirty-five years old and the only prominent mathematician alive. At this time, he had been married for two years, but not much else is known about his personal life. Diophantus had a son that died about four years before himself in 280 A.D. For Diophantus, the most important topics in mathematics were algebra and number theory. His greatest work was a set of thirteen books called " Arithmetica ." All the translations of this work, including the early Arabic ones, contain only six of the books. Historians believe this is evidence that the other books were lost soon after Diophantus’ death. In " Arithmetica ," Diophantus solves 130 determinate and indeterminate equations, some being of fourth and sixth degree. Unlike many earlier mathematicians who required that equations have whole number solutions, Diophantus did not refrain from giving rational solutions to the problems. Interestingly, he did not include negative solutions to the equations. Diophantus was first to use symbols in algebra in Greek mathematics. He also introduced the idea of a variable, which he labels as "arithmos." The other important feature of " Arithmetica " is several propositions in number theory. One example is that no number of the form 8n-7, where n is a non-negative integer, could be rewritten as the sum of three squares. 150 years later the famous female mathematician Hypatia wrote a commentary on Diophantus’ "

33. ThinkQuest : Library : Mathematics History Of tremendous importance to the develpment of algebra and of great influenceon later European number theorists was diophantus of alexandria. http://library.thinkquest.org/22584/temh3014.htm

Index Math Mathematics History An extensive history of mathematics is at your fingertips, from Babylonian cuneiforms to advances in Egyptian geometry, from Mayan numbers to contemporary theories of axiomatical mathematics. You will find it all here. Biographical information about a number of important mathematicians is included at this excellent site. Visit Site 1998 ThinkQuest Internet Challenge Languages English Korean Students Hyun-jin Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South Kyung-sun Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South So-young Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South Coaches Jae-yun Jae-yun Hwang(Seoul Yo Sang), Kwan-ak Gu, Korea, South Jong-hyun Jong-hyun Lee(Seoul Yo Sang), Kwan-ak Gu, Korea, South Dea-won Dea-won Ko (Seoul Yo Sang), Kwan-ak Gu, Korea, South Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site.

34. ThinkQuest : Library : A Taste Of Mathematic 170); Diogenes Laertius (c. 200); diophantus of alexandria (c. 250?);Porphyry (c. 234c. 305) (Malchus the Tyrian, Porphyrius); Anatolius http://library.thinkquest.org/C006364/ENGLISH/history/historygreece.htm

Index Math A Taste of Mathematic Welcome to A Taste of Mathematics.You will find the taste of mathematics here.The history of Mathematics,famous mathematicians,cxciting knowledge,the world difficult problems and also mathematics in our life... Browsing,thinking,enjoying,and have a good time here! Visit Site 2000 ThinkQuest Internet Challenge Languages English Chinese Students fangfei Beijing No.4 High School, Beijing, China ziyan Beijing No.4 High School, Beijing, China Coaches Tife Zesps3 Szks3 Ogslnokszta3c9cych Numer 1, Beijing, China xueshun Beijing No.4 High School, Beijing, China Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

35. Diophantus diophantus of alexandria (circa 200/214 circa 284/298) was an ancientGreek mathematician. We do not know much of his life. It http://www.nebulasearch.com/encyclopedia/article/Diophantus.html

NebulaSearch Home NebulaSearch Encyclopedia Top Diophantus Main Index City_of_The_Dalles,_Oregon..................Eolas Digital_filter..................Dovray,_Minnesota Dinoflagellates..................Dirk_Hoogendam ... Diophantine..................Diphallia Diophantus NebulaSearch article for Diophantus Diophantus of Alexandria (circa - circa ) was an ancient Greek mathematician We do not know much of his life. It is just known that he lived in Alexandria and he died 84 years old. Probably Diophantus was Hellenized Babylonian He was known for his study of equation s with variable s which take on rational value s and these Diophantine equations are named after him. Diophantus is sometimes known as the "father of Algebra It was in the margin of a French translation 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 number s. Related Links - Sets of numbers such that the product of any two is one less than a square. Diophantus found the rational set 1/16, 33/16, 17/4, 105/16; Fermat the integer set 1, 3, 8, 120. http://www.weburbia.demon.co.uk/pg/diophant.htm

36. Algebra - Patterns - Themepark People To See diophantus of alexandria http//wwwgroups.dcs.st-and.ac.uk/~history/Mathematicians/Diophantus.htmlMeet diophantus of alexandria. http://www.uen.org/themepark/html/patterns/algebra.html

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.

37. C.E. 1 - 999 diophantus of alexandria(250 CE) 250 BC Number Theory, Algebra Diophantus workedduring the middle of the 3rd century, is best known for his Arithmetica, a http://nunic.nu.edu/~frosamon/history/ce999.html

HYPATIA OF ALEXANDRIA (370-413 C.E.) As one of the first documented female Mathematicians, Astronomers and Philosophers, find out how she spread her knowledge and how her life brutally ended. ABU'L-HASAN IBN YUNUS (950-1009 C.E.) Aside from his book with 81 chapters, this Astrologer produced many trigonometric tables designed for astronomical purposes. MAYAN CALENDAR (200 C.E.) DIOPHANTUS OF ALEXANDRIA(250 C.E.) 250 BC Number Theory, Algebra Diophantus worked during the middle of the 3rd century, is best known for his Arithmetica, a work on the theory of numbers. The Arithmetica is a collection of 130 problems giving numerical solutions of determinate equations (those with a unique solution) and interminate equations. The method for solving these equations is now known as Diophantine analysis. Diophantus was always satisfied with a rational solution and did not require a whole number. He did not deal in negative solutions and one solution was all he required. Most of the Arithmetica problems lead to quadratic equations. He also introduced an algebraic symbolism that used an abbreviation for the unknown. BEDE'S LIFE (673-735 C.E.)

38. GRAVE The Greek (possibly a Hellenized Banylonian) mathematician, diophantus of alexandria(circa 200/214284/298 AD) , has been called The Father of Algebra . http://members.fortunecity.com/jonhays/graveA.htm

BACK web hosting domain names email addresses GRAVELY RIDDLED The Greek (possibly a Hellenized Banylonian) mathematician, Diophantus of Alexandria (circa 200/214-284/298 A.D.) has been called "The Father of Algebra". But, as some one said about another subject, "Algebra has many fathers". al-Khwarizmi (cited in another file) could be called "The Islamic Father of Algebra", so we'll call Diophantus "The Greek Father of Algebra". We also credit Diophantus with a vast field of Mathematics, which has found great application in Physics, for example, in Crystallography as we'll see below. We know little about the life of Diophantus, except for an Algebraic Riddle quoted in The Greek Anthology To cite The Encyclopedia Brittanica Greek ANTHOLOGIA HELL E NIK E , also called PALATINE ANTHOLOGY, a collection of Greek epigrams, songs, epitaphs, and rhetorical exercises that includes about 3,700 short poems, mostly written in elegiac couplets. Some of the poems were written as early as the 7th century BC, others as late as AD 1000....The literary value of the Anthology lies in the distinction and charm of perhaps one-sixth of the whole. For the rest, it preserves a good deal that is of historical interest; it illustrates the continuity of Greek literature for almost 2,000 years, because the latest inclusions in it are, in language, style, and feeling, not too different from the earliest inclusions. The

39. History Of Mathematics: Chronology Of Mathematicians 200 CE. Diogenes Laertius (c. 200); Liu Hong (fl. 178187); Wang Fan(217-257); diophantus of alexandria (c. 250?) *SB *MT; Sun Zi (c. 250?); 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

40. TMTh:: DIOPHANTUS OF ALEXANDRIA MATHEMATICIAN. diophantus of alexandria (fl. 3rd century AD) Work Diophantusis known as the father of algebra. His work represented http://www.tmth.edu.gr/en/aet/1/39.html

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN DIOPHANTUS OF ALEXANDRIA (fl. 3rd century AD) Work Diophantus is known as the father of algebra. His work represented a landmark in mathematical thinking, and was extremely influential in Renaissance Europe. He was the first to use an algebraic notation. His principal writings are: "On arithmetic": 13 books, of which 6 survive in the Greek original and 4 in an Arabic translation discovered in 1970. "On arithmetic" is a varied collection of problems involving polynomial equations with one or more variables. His solutions make use of a number of methods and calculations of powers. "On polygonal numbers": Fragments only. "Porismata": Lost. "Diophantine equations": Equations involving only addition, multiplication or exponential powers in which all the constants are natural numbers or their negatives and the only solutions of interest are natural numbers or their negatives. Named in honour of Diophantus, these were not solved systematically until the 7th century by the Hindus. 17th century French mathematician Pierre de Fermat made a thorough study of the work of Diophantus from a Latin translation. "Fermat's equation": x2- Dy2 =1 is nothing more than the equation Diophantus had formulated 14 centuries earlier.

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