41. History Of Mathematics diophantus of alexandria(250 CE) 250 BC Number Theory, Algebra Diophantus worked during the middle of the 3rd century, is best known for his Arithmetica, http://www.meta-religion.com/Mathematics/Articles/history_of_mathematics.htm

to promote a multidisciplinary view of the religious, spiritual and esoteric phenomena. About Us Links Search Contact ... Science home Religion sections World Religions New Religious Groups Ancient Religions Spirituality ... Extremism Science sections Archaeology Astronomy Linguistics Mathematics ... Contact The Web Metareligion More sections: Subscribe to the Metareligion Newsletter Photography Submit your site Suggest an article ... Polls Please, help us sustain this free site online. Make a donation using Paypal: History of Mathematics 3000 B.C. ARISTOTLE-DEDUCTIVE LOGIC (340 B.C.E.) Aristotle wrote a book called "TOPICS" which started out with a discussion of deductive logic. The whole world reestablished this book starting with the Islamic translation on through time. THALES, FOUNDER OF GREEK GEOMETRY (585 B.C.E.) The birth of Greek astronomy has been attributed to Thales of Miletus. Thales brought from Egypt a number of fundamental geometric principles. Thales, an Ionian (western border of Asia Minor) who was active near the start of the sixth century bc has been credited with a number of geometric theorems. 1. A Circle is bisected by its diameter. 2. Angles at the base of any isosceles triangle are equal. 3. If two straight lines intersect the opposite angles formed are equal. 4. If two triangles have two angles and one side respectively equal, the triangles are equal in all respects. Thales was also well known for forecasting the solar eclipse, so he was also considered a scientist.

42. Diophantus Of Alexandria Diophantus was born around 200 AD and died around 284AD. He lived in Alexandria, being one of the quite a few famous mathematicians to work in this ancient http://www.mathsisgoodforyou.com/people/diophantus.htm

Diophantus of Alexandria home courses topics theorems ... timeline Diophantus was born around 200 AD and died around 284AD. He lived in Alexandria , being one of the quite a few famous mathematicians to work in this ancient center of learning. He is often known as the 'father of algebra' although al-Khwarizmi is given the same 'title' by some mathematicians. He is best known for his Arithmetica , his, 'Diophantine' equations , and, more recently, for the note that was written by Fermat in one of the reprints of his Arithmetica Almost nothing is known about Diophantus' life. Michael Psellus, an 11 th century Byzantine scholar/politician/scientist mentioned Diophantus and someone who dealt with Egyptian arithmetic, which later led to other people working and developing the same branch of mathematics. A very famous historian of mathematics, Paul Tannery, brother of a famous mathematician, Jules Tannery (who both lived at the end of the 19th and beginning of the 20th century), thought that Hypatia was the first person to describe and comment on Diophantus' mathematics, and that Michael Pseullus quote from her. Nevertheless, one thing that we know about Diophantus is the riddle which survived from around 500AD to our days:

43. Diophantus diophantus of alexandria (The Hutchinson Encyclopedia). Diophantus (The Columbia Encyclopedia, Sixth Edition). Diophantus (lived c. http://www.infoplease.com/ce6/people/A0815587.html

var zflag_nid="350"; var zflag_cid="44/43"; var zflag_sid="11"; var zflag_width="728"; var zflag_height="90"; var zflag_sz="14"; in All Infoplease Almanacs Biographies Dictionary Encyclopedia Daily Almanac for Aug 31, 2005 Skip Navigation Home Almanacs ... Word of the Day Editor's Favorites Back to School Hurricanes Daylight Saving Time School Shootings ... Mississippi Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map College Center Scholarship Search College Resources Career Center Job Search Post Your Resume Continuing Ed. more . . . Search: Infoplease Info search tips Search: Biographies Bio search tips google_ad_client = 'pub-1894504138907931'; google_ad_width = 120; google_ad_height = 240; google_ad_format = '120x240_as'; google_ad_type = 'text'; google_ad_channel =''; google_color_border = ['336699','B4D0DC','DFF2FD','B0E0E6']; google_color_bg = ['FFFFFF','ECF8FF','DFF2FD','FFFFFF']; google_color_link = ['0000FF','0000CC','0000CC','000000']; google_color_url = ['008000','008000','008000','336699']; google_color_text = ['000000','6F6F6F','000000','333333']; Encyclopedia Diophantus u u s] Pronunciation Key Diophantus , fl.

44. Introduction To Arithmetic: Number Theory; Prime Numbers, Fermat Theorem, Goldba In the 3rd century AD the Greek mathematician diophantus of alexandria wrote a book called Arithmetica, in which he proposed a number of mathematics http://www.geocities.com/mathfair2002/school/arit/arithm3.htm

home stands games about ... links Number Theory Goldbach's Conjecture Fermat's Last Theorem Integers Gaussian Integers Prime Numbers The Sieve of Eratosthenes The Fundamental Theorem of Arithmetic How Many Primes Are There? An Infinity Of Primes Mersenne Numbers Largest Prime Numbers Famous Theorems Diophantine Equations Solving Diophantine Equations Fermat's Last Theorem History of the Theorem Proof Of The Theorem Number Theory Number theory is the branch of mathematics concerned with studying the properties and relations of integers. Many of these problems are concerned with the properties of prime numbers. Number theory also includes the study of irrational numbers, transcendental numbers, Diophantine equations, and continued fractions. There are a number of branches of number theory, including algebraic number theory, analytic number theory, geometric number theory, and probabilistic number theory. Algebraic number theory is the study of numbers that are the roots of polynomial equations with integer coefficients, and includes the study of Gaussian integers. Goldbach's Conjecture One of the most famous problems in number theory is Goldbach's conjecture, proposed in 1742 by Christian Goldbach (1690-1764), the Prussian-born number theorist and analyst, in a letter to Leonhard Euler. Goldbach's conjecture states that any even number greater than or equal to 6 can be expressed as the sum of two odd prime numbers (for example, 6 = 3 + 3, 8 = 5 + 3, 48 = 29 + 19). Although there is every reason to believe that this conjecture is true, and computers have been used to verify it for some very large numbers, it has never been proved. Goldbach's conjecture is a good example of the way in which a problem in number theory can be stated very simply yet be very difficult to solve.

45. DIOPHANT Greek Mathematician. diophantus of alexandria developed mathematical formulas for the calculation of equations and he wrote a textbook on arithmetic. http://www.hyperhistory.com/online_n2/people_n2/persons3_n2/diophant.html

DIOPHANT c.214 - c.280 Greek Mathematician Diophantus of Alexandria developed mathematical formulas for the calculation of equations and he wrote a textbook on arithmetic. From the 13 books of his main work 'Arithemtica' only six survive. 'Arithemtica' deals largely with algebra. Before Diophantus all algebra was expressed without symbolism; he was the first to introduce symbolism into Greek algebra. www link : Short Biography

46. The Columbia Encyclopedia, Sixth Edition: Diophantus@ HighBeam Research The Columbia Encyclopedia, Sixth Edition Diophantus@ HighBeam Research. Named after diophantus of alexandria (e.250 AD) who investigated such problems http://www.highbeam.com/ref/doc0.asp?docid=1E1:Diophant

47. Math History - Pre-historic And Ancient Times 250, diophantus of alexandria writes Arithmetica, a study of number theory problems in which only rational numbers are allowed as solutions. http://lahabra.seniorhigh.net/pages/teachers/pages/math/timeline/MpreAndAncient.

Math History Timeline Pre-historic and Ancient Times 1,000,000 B.C. - 500 A.D. Math History Prehistory and Ancient Times Middle Ages Renaissance Reformation ... 20th Century ... non-Math History Prehistory and Ancient Times Middle Ages Renaissance Reformation ... External Resources About 30000BC Palaeolithic peoples in central Europe and France record numbers on bones. About 25000BC Early geometric designs used. About 4000BC Babylonian and Egyptian calendars in use. About 3400BC The first symbols for numbers, simple straight lines, are used in Egypt. About 3000BC Babylonians begin to use a sexagesimal number system for recording financial transactions. It is a place-value system without a zero place value. About 3000BC Hieroglyphic numerals in use in Egypt. About 3000BC The abacus is developed in the Middle East and in areas around the Mediterranean. A somewhat different type of abacus is used in China. About 1950BC Babylonians solve quadratic equations.

48. On Wisconsin - Summer 2002 diophantus of alexandria (Greek) Wrote thirteen books on mathematics titled Arithmetica. Described as the father of algebra. Influenced alKhwarizmi in http://www.uwalumni.com/onwisconsin/summer02/laska.html

Travel Lifelong Learning UW Libraries Resources On Wisconsin ... UW-MADISON Letters On Wisconsin Magazine welcomes letters from our readers. The editors reserve the right to edit letters for length or clarity. Please mail comments to On Wisconsin, 650 North Lake Street, Madison WI 53706; fax them to (608) 265-8771; or e-mail them to WAA@uwalumni.com In the article titled "A Muslim's Jihad" in the Winter 2001 edition of On Wisconsin , some statements are made which are not entirely correct. In particular, on page 37, it states that in the last part of the first millennium and the first part of the second, "Islam produced the world's leading scientists, mathematicians, architects, and artists." It may be considered only a minor discrepancy, but this implies that all the leading scientists, etc., were produced by Islam. The words "many of" should be inserted between "produced" and "the" to make the statement true. Another statement is completely inaccurate. Muslims did not

49. Diopter - Definition Of Diopter By The Free Online Dictionary, Thesaurus And Enc Diophantus (crater) Diophantus crater diophantus of alexandria diophantus of alexandria diophantus of alexandria DIOPS diopside diopside http://www.thefreedictionary.com/diopter

Domain='thefreedictionary.com' word='diopter' join mailing list webmaster tools Word (phrase): Word Starts with Ends with Definition subscription: Dictionary/ thesaurus Computing dictionary Medical dictionary Legal dictionary Financial dictionary Acronyms Columbia encyclopedia Wikipedia encyclopedia Hutchinson encyclopedia diopter Also found in: Medical Acronyms Wikipedia Hutchinson 0.01 sec. Page tools Printer friendly Cite / link Email Feedback di·op·ter (d p t r) n. Abbr. D. A unit of measurement of the refractive power of lenses equal to the reciprocal of the focal length measured in meters. [Obsolete diopter an instrument for measuring angles , from Latin dioptra , from Greek dioptr dia- dia- optos visible ; see ok w in Indo-European roots.] di·op tral (-tr l) adj. Thesaurus Legend: Synonyms Related Words Antonyms Noun diopter - a unit of measurement of the refractive power of a lens which is equal to the reciprocal of the focal length measured in meters unit unit of measurement - any division of quantity accepted as a standard of measurement or exchange; "the dollar is the United States unit of currency"; "a unit of wheat is a bushel"; "change per unit volume" Mentioned in References in classic literature No references found No references found Dictionary/thesaurus browser Full browser dioon Diophantine Diophantine analysis Diophantine equation ... Dioptase diopter dioptometer Dioptre dioptric Dioptric curve ... Dioptase diopter Diopter (unit of optical power) dioptometer Dioptre Dioptre ... Dior, Christian

50. What Is The Last Theorem? an ancient Greek text written in about AD 250 by diophantus of alexandria. Then in 1670 he published Diophantus’ Arithmetica Containing Observations http://www.simonsingh.com/What_is_the_Theorem.html

What is the Theorem? Back to Fermat Corner What is the Last Theorem? Pierre de Fermat created the Last Theorem while studying Arithmetica, an ancient Greek text written in about AD 250 by Diophantus of Alexandria. The page of Arithmetica which inspired Fermat discussed various aspects of Pythagoras’ Theorem, which states that: In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares on the other two sides. In other words (or rather symbols): x + y = z where z is the length of the hypotenuse, the longest side, and x and y are the lengths of the other two sides. Pythagoras’ Theorem is not just a nice idea, or a notion that seems to work for most right-angled triangles. It is always true and mathematicians can prove this. Fermat was interested in whole number solutions to Pythagoras’ equation, such that x, y, and z could be any whole number, except zero. For example:

51. The Whole Story an ancient Greek text written in about AD 250 by diophantus of alexandria. Elliptic curves, which have been studied since the time of Diophantus, http://www.simonsingh.com/FLT_the_whole_story.html

The Whole Story Back to Fermat Corner FLT in 100 words The Whole Story This is it – the entire story of Fermat’s Last Theorem in a couple of thousand words. The essay on this page is an edited version of an article that I wrote for Prometheus magazine , but if you feel that even this is too long to read, then you might want to read the whole story in 100 words instead. On the other hand, if you want to read more, then visit some of the other pages in the Fermat’s Last Theorem section (e.g., Who was Pierre de Fermat? Who is Andrew Wiles? ) and visit some of the links to other websites about Fermat’s Last Theorem Prometheus The Quest to Solve the World’s Most Notorious Mathematical Problem In 1963 a 10-year old boy borrowed a book from his local library in Cambridge, England. The boy was Andrew Wiles, a schoolchild with a passion for mathematics, and the book that had caught his eye was 'The Last Problem' by the mathematician Eric Temple Bell. The book recounted the history of Fermat’s Last Theorem, the most famous problem in mathematics, which had baffled the greatest minds on the planet for over three centuries.

52. ¥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

¥áµf¹Ï¡£ Diophantus of Alexandria ¦~«e«á¡A¥j§Æ¾ ¹ï©ó¥áµf¹Ïªº¥Í¥­¨Æ¸ñ¡A¤H­Ìª¾¹D±o«Ü¤Ö¡C¦ý¦b¤@¥»¡m§Æ¾¸Ö¤å¿ï¡n¡£ The Greek anthology ¡¤¡i³o¬O¤½¤¸ ¦~«e«áªº¿òª«¡A¤j³¡¥÷¬°»yªk¾Ç®a±ö¯S¹¦h°Ç´µ¡£ Metrodorus ¡¤©Ò¿è¡A¨ä¤¤¦³ ­º©M¥N¼Æ°ÝD¦³öªºµu¸Ö¡£ epigram ¡¤¡C¥H¤U©Ò¤Þªº¬O²Ä D¡C¡j¤¤¡A¦¬¿ý¤F¥Lªº¹Ó»x»Ê¡G ¼X¤¤¦w¸®µÛ¥áµf¹Ï¡A ¦h»ò¥O¤HÅå³Y¡A ¥¦©¾¹ê¦a°O¿ý¤F©Ò¸g¾úªº¹D¸ô¡C ¤W«Òµ¹¤©ªºµ£¦~¥e¤»¤À¤§¤@¡A ¤S¹L¤Q¤G¤À¤§¤@¡A¨âÀUªøÄG¡A ¦A¹L¤C¤À¤§¤@¡AÂI¿U°_µ²±BªºÄúÀë¡C ¤­¦~¤§«á¤Ñ½ç¶Q¤l¡A ¥i¼¦¿ð¨ìªº¹çÄɨà¡A ¨É¦~¶È¤Î¨ä¤÷¤§¥b¡A«K¶i¤J¦B§Nªº¹Ó¡C ´d¶Ë¥u¦³¥Î¼Æ½×ªº¬ã¨s¥hÀ±¸É¡A ·N«ä§Y¬O¡y¥áµf¹Ïªº¤@¥Í¡A¥®¦~¥e ¡A«C¤Ö¦~¥e ¡A¤S¹L¤F ¤~µ²±B¡A ¦~«á¥Í¤l¡A¤l¥ý¤÷ ¦~¦Ó¨ò¡A¹Ø¬°¨ä¤÷¤§¥b¡C¡z X/6 + X/12 + X/7 + 5 + X/2 + 4 = X ¡A X = 84 ¡A¥Ñ¦¹ª¾¹D¥áµf¹Ï¨É¦~ ·³¡C ¨È¾ú¤s¤jªº¥áµf¹Ï¹ï¥N¼Æ¾Çªºµo®i°_¤F·¥¨ä­«­nªº§@¥Î¡A¹ï«á¨Óªº¼Æ½×¾ÇªÌ¦³«Ü²`ªº¼vÅT¡C¥L¦³´XºØµÛ§@¡A³Ì­«­nªº¬O¡mºâ³N¡n¡AÁÙ¦³¤@³¡¡m¦h¨¤¼Æ¡n¡A¥t¤@¨Ç¤w¿ò¥¢¡C¡mºâ³N¡n¬O¤@³¡¹º¥NªºµÛ§@¡A¥¦¦b¾ú¥v¤W¼vÅT¤§¤j¡A¥i©M¼Ú´X¨½±oªº¡m´X¦ó­ì¥»¡n¬Û·B¬ü¡C ¤¤¿W¾ð¤@¼m¡C¥L³Q«á¤HºÙ¬°¡y¥N¼Æ¾Ç¤§¤÷¡z¤£µL¹D²z¡C

53. FIBONACCI See the comments on pages 105106 in TL Heath s diophantus of alexandria, 1964. Fibonacci appears to have been generally influenced by the Arab http://faculty.evansville.edu/ck6/bstud/fibo.html

Fibonacci (c.1175 - c.1240) mathematician Fibonacci was probably the greatest genius of number theory during the 2000 years between Diophantus and Fermat. The sequence defined by F(1) = 1, F(2) = 1, and F(n) = F(n-1) + F(n-2) for n = 3, 4, 5, ... is named the Fibonacci sequence. Fibonacci, also known as Leonardo of Pisa, was born in Pisa, home of the famous leaning tower (inclined at an angle of 16.5 degrees to the vertical). Little is known of his life, and no portrait exists. However, a statue of Fibonacci was erected by the citizens of Pisa. In 1978, Frank Johnson took a picture, seen here, of the head of the Fibonacci statue, some fifteen feet above ground. Since then, the statue has been moved to its present (and original) location at Camposanto Monumentale (at Piazza dei Miracoli, where the Leaning Tower stands.) For more about this statue, visit Fibonacci's statue in Pisa One of the best modern sources of information about Fibonacci is the following article: A. F. Horadam , "Eight hundred years young," The Australian Mathematics Teacher With the kind permission of Professor Horadam and the editor of The Australian Mathematics Teacher

54. Reading Classics Home Page IGBashmakova Diophantus and Diophantine Equations, MAA 1997; TL Heath diophantus of alexandria, Dover 1964. Talks. Ronnie Pavlov Polygonal numbers http://www.math.ohio-state.edu/~sinnott/ReadingClassics/homepage.html

Reading Classics Home Page Reading Classics is a VIGRE Working Group. Its aim is to read various classic mathematical texts and understand something of the history of mathematics. We also have some ongoing Translation Projects Winter, 2003 Spring, 2003 Fall, 2003 ... Winter, 2005 Winter, 2003: We looked at Diophantus and the background of modern number theory and arithmetic algebraic geometry. Some references: I. G.Bashmakova: Diophantus and Diophantine Equations , MAA 1997 T.L. Heath: Diophantus of Alexandria , Dover 1964 Talks: Ronnie Pavlov: Polygonal numbers Roux Heyns: Greek algebraic notation Michael Chmutov: Diophantus and Fermat Wade Claggett: Projective geometry Brian Morton: The group law on elliptic curves: elliptic functions Alex Ustian: The group law on elliptic curves: algebraic approach Rafal Pikula: A proof of Fermat's two square theorem via the Gauss-Jacobi triple product identity (after John Ewell) Spring, 2003: We looked at the works of Archimedes. Some references: S. Stein: Archimedes: What did he do besides cry Eureka?

55. Timeline Of Fermat's Last Theorem circa 250 AD, diophantus of alexandria, Diophantus wrote Arithmetica, a collection of 130 problems giving numerical solutions, which included the http://www.public.iastate.edu/~kchoi/time.htm

Drink to Me (Carolan, sequenced by Barry Taylor) Timeline of Fermat's Last Theorem when who what 1900 BC Babylonians A clay tablet, now in the museum of Columbia University, called Plimpton 322, contains 15 triples of numbers. They show that a square can be written as the sum of two smaller squares, e.g., 5 circa 530 Pythagoras Pythagoras was born in Samos. Later he spent 13 years in Babylon, and probably learned the Babylonian's results, now known as the Pythagorean triples. Pythagoras was also the founder of a secret society that studied among others "perfect" numbers. A perfect number is one that is the sum of its multiplicative factors. For instance, 6 is a perfect number (6 = 1 + 2 + 3). Pythagoreans also recognized that 2 is an irrational number. circa 300 BC Euclid of Alexandria Euclid is best known for his treatise Elements circa 400 BC Eudoxus Eudoxus was born in Cnidos, and became a colleague of Plato. He contributed to the theory of proportions, and invented the "method of exhaustion." This is the same method employed in integral calculus. circa 250 AD Diophantus of Alexandria Diophantus wrote Arithmetica , a collection of 130 problems giving numerical solutions, which included the Diophantine equations , equations which allow only integer solutions (e.g, ax + by = c, x

56. Hypatia - Book List Heath, diophantus of alexandria, 2nd Ed. New York Dover Reprint, 1964 (1885 original). Olof Herrlin, En alexandrinsk kvartett. http://www.polyamory.org/~howard/Hypatia/books.html

Books on Hypatia of Alexandria a bibliography by Howard A. Landman A library card catalog shows you which books a particular library has. This page is the opposite: an inverted card catalog that shows you which libraries have certain books! In this case, I've collected all the books and magazine articles which appeared in my searches of the world's libraries for information about Hypatia of Alexandria, the great mathematician, scientist, and teacher of antiquity. Also included are a number of items identified by Dr. M.A.B. Deakin. Most of the library references below were obtained through the net, using the University of Kansas' CWIS database, which pointed to almost every known electronic library card catalog in the world. The United States "Other Libraries" list alone was staggering enough! Unfortunately, this resource moved or disappeared, so I have had to remove my (broken) links to it. If you know where this is now, please let me know! If you're broadly interested in Women And Science, click here for a more general bibliography.

57. Engineering Database diophantus of alexandria writes Arithmetica, a study of number theory problems in which only rational numbers are allowed as solutions. http://www.diracdelta.co.uk/science/source/t/i/timeline/source.html

Timeline A brief overview of the major milestones in science and engineering. Palaeolithic peoples in central Europe and France record numbers on bones. Early geometric designs used. Sheep are domesticated in the Middle East. Corn is domesticated in the Oaxaca Valley. Wheat is domesticated in Mesopotamia. Cattle are domesticated in Mesopotamia. Copper artifacts are common in the Middle East. Barley is domesticated in Egypt. Potatoes are domesticated in Peru and Bolivia. Light wooden plows are used in Mesopotamia. Kiln-fired bricks and pots are made in Mesopotamia. Irrigation is developed in Mesopotamia. The first symbols for numbers, simple straight lines, are used in Egypt. Wheeled vehicles are used in Uruk. Square-sailed ships used in Egypt. Draft oxen are used in Mesopotamia. Potter's wheel used in Mesopotamia. Pyramids are built in Egypt. Bronze is developed in Mesopotamia. Horse drawn vehicles are used in Egypt. Horse riding is developed on the Eurasia steppes. Copper is smelted in China. Rice paddies are developed in China. Iron working is developed in the Middle East.

58. Traps 5: 201-250 In an Algebra textbook, they wrote about diophantus of alexandria and the problem from his Arithmetica, which is supposed to reveal parts of his life and http://www.webcom.com/jrudolph/trap_q5.html

Traps, a.k.a. Brain Teasers #351-Current Bottom Return John's Home page ... Search the Web 250. THE LONG TRAIN How long would it take a train one-mile long traveling at 60 mph to pass through a tunnel one mile long? Solution 249. ANOTHER SERIES What's the next number in this series? Solution 248. MISSING LETTERS Fill in the three missing letters in the following series: Y Y H L Y E Y T R (?) (?) (?) Solution 247. FIVES Arrange the four 5's so that they equal 56. You may use any mathematical notation, but no other digits. Solution 246. STING All answers end with "sting." A sting that cures fatigue. A sting that cures hunger. A sting that tidies your room. A sting that makes you laugh. A sting that cooks your meat. A sting that spoils your tools. A sting that makes you read a book through. A sting that some observe in Lent. A sting that cooks are always using. A sting that browns your bread. Solution 245. THE MONGOLIAN POSTAL SERVICE The Mongolian Postal Service has a strict rule stating that items sent through the post must not be more than 1 meter long. Longer items must be sent by private carriers, and they are notorious for their expense, inefficiency, and high rate of loss of goods. Boris was desperate to send his valuable and ancient flute safely through the post. Unfortunately, it was 1.4 meters long, and could not be disassembled as it was one long, hollow piece of ebony. Eventually, he hit on a way to send it through the Mongolian Postal Service. What did Boris do?

59. Fermat's Last Theorem And The Fourth Dimension Greek treatise on numbers by the mathe matician diophantus of alexandria. On one page, Diophantus discussed the problem of writing a given square as a http://www.g4g4.com/4d/4djimp.htm

home g4g4.com Fermat's Last Theorem and the Fourth Dimension Jim Propp: http://www.math.wisc.edu/ ù propp/flt4d.html. page 1 their wits on. He thought that these challenges would give others a greater appreciation of the hidden depths surrounding his problems about numbers and lure them into doing active research on the topic, but sometimes the tactic back red on him. For instance, in one of his letters he challenged the English mathematician John Wallis to solve two problems: 1. given a cube,to write that cube as a sum of two cubes; and 2. given a sum of two cubes, to write that number as a sum of two cubes in a dierent way. page 2 page 3 page 4 For pages 5 - 14, please open pdf file. Click Here For more information, please visit: http://www.math.wisc.edu/ ù propp/flt4d.html.

60. Diophantus diophantus of alexandria Article by JJ O Connor and EF Robertson http//www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Diophantus.html 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 Fact-index.com financially supports the Wikimedia Foundation. Displaying this page does not burden Wikipedia hardware resources. This article is from Wikipedia . All text is available under the terms of the GNU Free Documentation License

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