1. Biography Of Diophantus Biography of Diophantus. The precise dates of the life of Diophantus, an Alexandrian Greek, are unknown. S.v. " diophantus of alexandria" by Kurt Vogel. Heath, Thomas L. diophantus of alexandria http://www.lib.virginia.edu/science/parshall/diophant.html

Biography of Diophantus The precise dates of the life of Diophantus, an Alexandrian Greek, are unknown. A letter written in the eleventh century makes him a contemporary of a mid-third-century bishop, so Diophantus is usually said to have flourished around A.D. 250. Of the three works Diophantus wrote, only six of the thirteen books of Arithmetica have survived; a fragment of On Polygonal Numbers is extant; and none of his Porisms exists today. A collection of epigrams known as the Greek Anthology contained among its mathematical problems a puzzle about Diophantus: God granted him to be a boy for the sixth part of his life, and adding a twelfth part to this, He clothed his cheeks with down; He lit him the light of wedlock after a seventh part, and five years after his marriage He granted him a son. Alas! late-born wretched child; after attaining the measure of half his father's life, chill Fate took him. After consoling his grief by this science of numbers for four years he ended his life. (Cohen and Drabkin, p. 27) The solution to the problem indicates that Diophantus married at age thirty-three, had a son when he was thirty-seven, and died when he was eighty-four.

2. Diophantus diophantus of alexandria. Born about 200 Died about 284. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Diophantus.html

Diophantus of Alexandria Born: about 200 Died: about 284 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Diophantus , often known as the 'father of algebra', is best known for his Arithmetica , a work on the solution of algebraic equations and on the theory of numbers. However, essentially nothing is known of his life and there has been much debate regarding the date at which he lived. There are a few limits which can be put on the dates of Diophantus's life. On the one hand Diophantus quotes the definition of a polygonal number from the work of Hypsicles so he must have written this later than 150 BC. On the other hand Theon of Alexandria, the father of Hypatia , quotes one of Diophantus's definitions so this means that Diophantus wrote no later than 350 AD. However this leaves a span of 500 years, so we have not narrowed down Diophantus's dates a great deal by these pieces of information. There is another piece of information which was accepted for many years as giving fairly accurate dates. Heath [3] quotes from a letter by Michael Psellus who lived in the last half of the 11 th century. Psellus wrote (Heath's translation in [3]):-

3. Diophantus Best known for his Arithmetica, a work on the theory of numbers, a collection of 130 problems giving numerical solutions of determinate equations. http://history.math.csusb.edu/Mathematicians/Diophantus.html

Diophantus of Alexandria Born: about 200 Died: about 284 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Diophantus , often known as the 'father of algebra', is best known for his Arithmetica , a work on the solution of algebraic equations and on the theory of numbers. However, essentially nothing is known of his life and there has been much debate regarding the date at which he lived. There are a few limits which can be put on the dates of Diophantus's life. On the one hand Diophantus quotes the definition of a polygonal number from the work of Hypsicles so he must have written this later than 150 BC. On the other hand Theon of Alexandria, the father of Hypatia , quotes one of Diophantus's definitions so this means that Diophantus wrote no later than 350 AD. However this leaves a span of 500 years, so we have not narrowed down Diophantus's dates a great deal by these pieces of information. There is another piece of information which was accepted for many years as giving fairly accurate dates. Heath [3] quotes from a letter by Michael Psellus who lived in the last half of the 11 th century. Psellus wrote (Heath's translation in [3]):-

4. Diophantus Of Alexandria --  Encyclopædia Britannica MLA style " diophantus of alexandria." Encyclopædia Britannica. 2004 APA style diophantus of alexandria. Encyclopædia Britannica. Retrieved May 6, 2004, from Encyclopædia http://www.britannica.com/eb/article?eu=31055&tocid=0

5. References For Diophantus Books TL Heath, diophantus of alexandria A Study in the History of Greek Algebra(New York, 1964). TL Heath, A history of Greek mathematics 2 (Oxford, 1931). http://www-gap.dcs.st-and.ac.uk/~history/References/Diophantus.html

References for Diophantus 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 (New York, 1964). T L Heath, A history of Greek mathematics (Oxford, 1931). J Klein, Greek mathematical thought and the origin of algebra (London, 1968). J Sesiano, Books IV to VII of Diophantus' 'Arithmetica' in the Arabic translation attributed to Qusta ibn Luqa (New York-Berlin, 1982). P Tannery, Diophanti Alexandrini Opera omnia cum graecis commentariis (2 vols.) (Leipzig, 1893-95). 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.

6. [HM] An Equation In Heath: Diophantus Of Alexandria 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 http://mathforum.com/epigone/historia_matematica/yolbloisnix

a topic from Historia-Matematica Discussion Group [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

7. Diophantus Of Alexandria - Encyclopedia Article About Diophantus Of Alexandria. encyclopedia article about diophantus of alexandria. diophantus of alexandriain Free online English dictionary, thesaurus and encyclopedia. http://encyclopedia.thefreedictionary.com/Diophantus of Alexandria

Dictionaries: General Computing Medical Legal Encyclopedia Diophantus of Alexandria Word: Word Starts with Ends with Definition Diophantus of Alexandria (circa Alternate uses, see Number 200 Centuries: 1st century - 2nd century - 3rd century Decades: 150s 160s 170s 180s 190s - Years: 195 196 197 198 199 - Events Jewish Eretz Yisraeli scholar Judah ha-Nasi compiles tracts of the Mishnah, beginning the creation of Talmudic law. Battle of Guandu Takes place in China. The Classic age of Maya civilization begins. Sun Quan founds the Kingdom of Wu. Click the link for more information. Centuries: 2nd century - 3rd century - 4th century Decades: 160s 170s 180s 190s 200s - Years: 209 210 211 212 213 - Events The kingdom of Osroene becomes a province of the Roman Empire. Births Aurelian, Roman emperor Claudius II, Roman emperor Diophantus, Greek mathematician (possible date) Click the link for more information. - circa Alternate uses, see Number 284 Centuries: 2nd century - 3rd century - 4th century Decades: 230s 240s 250s 260s 270s - Years: 279 280 281 282 283 - Events November 20 - Diocletian becomes Emperor of Rome Patriarch Rufinus I succeeds Patriarch Dometius as Patriarch of Constantinople Year 1 of the Coptic calendar (or 285) The Bagaudae revolt against the Roman Empire in Gaul.

8. Diophantus Biography of Diophantus (200284) diophantus of alexandria. Born about 200 who died in 912, of Books IV to VII of Arithmetica by diophantus of alexandria. F Sezgin made this remarkable discovery http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Diophantus.html

Diophantus of Alexandria Born: about 200 Died: about 284 Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Diophantus , often known as the 'father of algebra', is best known for his Arithmetica , a work on the solution of algebraic equations and on the theory of numbers. However, essentially nothing is known of his life and there has been much debate regarding the date at which he lived. There are a few limits which can be put on the dates of Diophantus's life. On the one hand Diophantus quotes the definition of a polygonal number from the work of Hypsicles so he must have written this later than 150 BC. On the other hand Theon of Alexandria, the father of Hypatia , quotes one of Diophantus's definitions so this means that Diophantus wrote no later than 350 AD. However this leaves a span of 500 years, so we have not narrowed down Diophantus's dates a great deal by these pieces of information. There is another piece of information which was accepted for many years as giving fairly accurate dates. Heath [3] quotes from a letter by Michael Psellus who lived in the last half of the 11 th century. Psellus wrote (Heath's translation in [3]):-

9. Diophantus - Encyclopedia Article About Diophantus. Free Access, No Registration diophantus of alexandria (circa 200 Alternate uses, see Number 200.Centuries 1st century 2nd century - 3rd century. Decades 150s http://encyclopedia.thefreedictionary.com/Diophantus

Dictionaries: General Computing Medical Legal Encyclopedia Diophantus Word: Word Starts with Ends with Definition Diophantus of Alexandria (circa Alternate uses, see Number 200 Centuries: 1st century - 2nd century - 3rd century Decades: 150s 160s 170s 180s 190s - Years: 195 196 197 198 199 - Events Jewish Eretz Yisraeli scholar Judah ha-Nasi compiles tracts of the Mishnah, beginning the creation of Talmudic law. Battle of Guandu Takes place in China. The Classic age of Maya civilization begins. Sun Quan founds the Kingdom of Wu. Click the link for more information. Centuries: 2nd century - 3rd century - 4th century Decades: 160s 170s 180s 190s 200s - Years: 209 210 211 212 213 - Events The kingdom of Osroene becomes a province of the Roman Empire. Births Aurelian, Roman emperor Claudius II, Roman emperor Diophantus, Greek mathematician (possible date) Click the link for more information. - circa Alternate uses, see Number 284 Centuries: 2nd century - 3rd century - 4th century Decades: 230s 240s 250s 260s 270s - Years: 279 280 281 282 283 - Events November 20 - Diocletian becomes Emperor of Rome Patriarch Rufinus I succeeds Patriarch Dometius as Patriarch of Constantinople Year 1 of the Coptic calendar (or 285) The Bagaudae revolt against the Roman Empire in Gaul.

10. Diophantus Of Alexandria --  Encyclopædia Britannica Encyclopædia Britannica, diophantus of alexandria Encyclopædia Britannica Article. MLAstyle diophantus of alexandria. Encyclopædia Britannica. 2004. http://www.britannica.com/eb/article?eu=31055

11. Alexandria --  Britannica Student Encyclopedia the GrecoRoman world. , diophantus of alexandria Greek mathematician,famous for his work in algebra. , Appian Of Alexandria Greek http://www.britannica.com/ebi/article?eu=294531&query=gnosticism&ct=ebi

12. Comments On Item Ff29 Comments on Swift, J. D., 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=Alge

13. Diophantus Of Alexandria And The 10-th Problem Of Hilbert diophantus of alexandria. We know almost nothing about Diophantus, exceptthat he lived, in Alexandria. We know that he quotes Hypsicles http://www.mlahanas.de/Greeks/Diophantus.htm

Diophantus of Alexandria We know almost nothing about Diophantus, except that he lived, in Alexandria. We know that he quotes Hypsicles ( 150 BC ) and he is quoted by Theon Alexandrinus (whose date is fixed by the solar eclipse of June 16, 364 AD ). 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). From his epitaph, which is an equation that we have to solve, we know that he married at the age of 33, had a son who died when he was 42, 4 years before Diophantus himself died aged 84. From these data it is assumed that he lived from 200-284 AD. Diophantus began the systematic study of equations with integer coefficients.

14. Diophantus - Mathematics And The Liberal Arts Diophantus Mathematics and the Liberal Arts. For more material on this topic, see subtopic Diophantine Equations. To expand search, see Greece. Swift, J. D. diophantus of alexandria. American http://math.truman.edu/~thammond/history/Diophantus.html

Diophantus - Mathematics and the Liberal Arts For more material on this topic, see subtopic Diophantine Equations . To expand search, see Greece . Laterally related topics: Aristotle Archimedes Euclid Heron ... Philolaus , and Archytas The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Hist. of Sci.

15. Diophantus Diophantus diophantus of alexandria (English). Search for Diophantus OR diophantus of alexandria in NRICH PLUS maths.org Google. http://thesaurus.maths.org/mmkb/entry.html?action=entryByConcept&id=1330&langcod

16. Diophantus Diophantus diophantus of alexandria (inglés). Buscar Diophantus OR Diophantusof Alexandria en NRICH PLUS maths.org Google. Definición Nivel 1. http://thesaurus.maths.org/mmkb/entry.html?action=entryByConcept&id=1330&msglang

17. Mathematicians Diophantus. Euclid. George Polya Karl Gauss. Diophantus. diophantus of alexandria. Diophantus. The Origins of Algebra http://members.aol.com/varodlin/mathematicians.htm

Diophantus Euclid George Polya Fibonacci Pythagorus Evariste Galois Karl Gauss Diophantus Diophantus of Alexandria Diophantus The Origins of Algebra The History of Algebra Euclid Euclid (330?-275?B.C.) Euclid's Theorum Euclid's Elements On Euclid's Fifth Postulate ... Three Circles Fibonacci Biography: Fibonacci Fibonacci The Fibonacci Numbers The Fibonacci Numbers and the Golden Section ... The Fibonacci Numbers Spelled Out Pythagorus An Animated Sequence that Proves the Pythagorean Theorum Baseball and the Pythagorean Theorum Biography The School of Pythagoras ... The Descartes Project Evariste Galois Evariste Galois History of Mathematics: Galois Development Group Theory Evariste Galois Home Page ... Modern Algebra Carl Gauss Gauss Famous Mathematicians, the G list Gauss Mathematician Trading Cards: Gauss Other Links The Hall of Famous Mathematicians Homepage Great Mathematicians Great Physicists Back to Victoria Rodlin's Homepage Web Design by Victoria Rodlin E-mail varodlin@aol.com The Current World Population Is

18. Diophantus Of Alexandria | C200-c284 | Greek Mathematician diophantus of alexandria c200c284 Greek mathematician. David GregoryPapers (1675-1713); Diophanti Liber Secundis (1698-1708); Index http://www.nahste.ac.uk/pers/d/GB_0237_NAHSTE_P1744/

the project the collections biographies multimedia ... Probl: 13. lib. 3tii Diophanti (s.d.)

19. Final Chapters Of Greek Mathematics diophantus of alexandria. Diophantus lived during the middle of the 3rd century A.D. a work on the theory of numbers. Pappus of Alexandria. Pappus lived during the late http://www.math.utk.edu/~m400/ch5/homepage5.htm

The Final Chapters of Greek Mathematics Introduction Mathematicians Resources Team Contributions ... Credits Introduction "By the end of the third century B.C., the Golden Age of Greek mathematics was ending. In 146 B.C. Ptolemy VII, over took Egypt and banished from scientists and scholars who were not loyal to him. Many exiled Alexandrian scholars fled to more remote areas. The last two pre-Christian centuries saw the growth of Roman control. Despite the military machines of Archimedes, Syracuse fell to the Romans in 212 B.C., Carthage in 202 B.C. The Romans conquered Greece in 146 B.C., and Mesopotamia by 64 B.C. After Julius Caesar's assassination in 44 B.C., his grandnephew Augustus Caesar ruled the western Roman empire and also become ruler of the Eastern empire when Mark Antony was defeated. Upon the suicides of Mark Antony and Cleopatra in 30 B.C., Augustus Caesar took over Egypt . This began a period of time of prosperity and relative peace in Alexandria and Egypt which lasted until about 180 A.D. Eventually exploitation by the Romans and the cultural mix of Greeks, Christians, Jews, and Egyptians led to unruly mobs with brawls and bloodshed in the city. After the Golden Age of Greek Mathematics and before the Renaissance, mathematics (and scholarship in general, particularly in the sciences) went into a period of decline and stagnation with a few exceptions. " -from "Entrance into and Emergence from The Dark Ages:

20. An Equation From Heath: Diophantus Of Alexandria By Kent Holing An equation from Heath diophantus of alexandria by Kent Holing. replyto this message post a message on a new topic Back to discretemath http://mathforum.org/epigone/discretemath/dorcundrex

An equation from Heath: Diophantus of Alexandria by Kent Holing reply to this message post a message on a new topic Back to discretemath Subject: An equation from Heath: Diophantus of Alexandria Author: kho@statoil.com Date: http://mathforum.com/epigone/discretemath/coslontran/5dsw8ybbdk65@legacy. As my numerical computations show it might be that there are no solutions in positive integers of this equation. Browsing through my 1964 Dover edition of Heath: Diophantus of Alexandria, I found the following problem on page 307 (in the SUPPLEMENT section): Problem To find a right-angled triangle a,b,c such that c^2 + m a b/2 is a square. The solution given in Heath is by Fermat for m = 2. For m = 8 we have the equation above. It is interesting that the section ends on page 308 with a comment that there is a case where there are no solutions, namely the case when m = 8! Heath refers here to some De Billy and Tannery. (Tannery is mentioned in the PREFACE of Heath and Heath there refers to a text of Tannery from 1893/1895 (Teubner)). If anybody can comment on all this I will be delighted! Best regards, Kent Holing NORWAY The Math Forum

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