21. History Of Computation - Prehistory Other incidences of the use of abaci in late Greek culture are eutocius of ascalon scomputation of (30133/4)^2; references in the surviving speeches of the http://www.csc.liv.ac.uk/~ped/teachadmin/histsci/htmlform/lect2.html

Mechanical Aids to Computation and the Development of Algorithms 2. Early History 2.1. Introduction Although the computer and its widespread application in our society, are phenomena that have become predominant in only the last 30 years, many of the concepts underlying these developments have their origins in concerns dating back to the earliest cultures. Computers manipulate data (Latin, plural of datum , neut. p.p. dare , cognate Sanskrit, datta : those things which have been given), i.e. process and transform given representations of information in order to obtain a desired result. Within this basic description of computer behaviour we can discern two fundamental ideas: Representation: A concrete, symbolic encoding of information, e.g. numbers, words, names. Transformation: The steps (recipe, program algorithm ) used to calculate a specific result. A symbolic encoding of information provides a vehicle for communication - information can be passed on in a commonly understood form. A record of the process by which the representation is transformed allows the calculation process to be carried out repeatedly on different sets of data, e.g. we have all learned the steps needed to determine the result of multiplying any two large numbers. One might ask, however, why, given a system for encoding information and the sequence of steps needed to manipulate this to a specific end, it should be necessary to seek

22. Full Alphabetical Index Translate this page Esclangon, Ernest (69) Euclid of Alexandria (2950*) Eudemus of Rhodes (1085) Eudoxusof Cnidus (2317) Euler, Leonhard (4583*) eutocius of ascalon (763) Evans http://alas.matf.bg.ac.yu/~mm97106/math/alphalist.htm

Full Alphabetical Index The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (79*) Adrianus , Romanus (419) Aepinus , Franz (124) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (313*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (12)

23. Aa, Personal , Ahmet Kaya ,Þebnem Ferah , Göksel , Ebru Gündeþ Esclangon, Ernest (528*) Euclid of Alexandria (2950*) Eudemus of Rhodes (1085) Eudoxusof Cnidus (2317) Euler, Leonhard (4583*) eutocius of ascalon (763) Evans http://www.newturk.net/index111.html

English Turkish German French ... Spanish Top20 Free 1. Sexy toplist 3. Hitboss 4. Top20 Free 6. Webservis 7. ErciToplist 8. Sorf Toplist DO YOU WANT TO GET A FREE ALBUM Than click here. This is the easiest and free way. Create your own digital foto album. Click here and download it free. FLIPALBUM creates wicked 3D page-flipping photo album instantly and automatically. ALL FUN! NO HASSLE! Get your FREE TRIAL DOWNLOAD! HOVERFLY-2 INDOOR HELICOPTER Hoverfly is a great little helicopter. It comes attractively finished and ready to fly. It’s small, tough and quiet - and it flies indoors. Yet it handles just like its bigger brothers. You have a web site and you want to earn money, then click here. We recommend you the Otherlandtoys.co.uk, Commission Junction Program WWW Google Altavista document.write(""); document.write(""); document.write(""); document.write(""); var isjs=0, site=665, icon=3; var id = 100 document.write(""); var isjs=0, site=1780, icon=1; Search Web Auctions Forums Jobs for Free Mail UK Banner X Rate this site at CMATHER.COM Top 100! 10- Best 1- Worst Rate this site!

24. Godlike Productions -- Forum Archives Diadochus (410485) *SB *MT Zhang Qiujian Chang Ch´iu-chien (c. 450?) Zu Chongzhi(Wenyuan) Tsu Ch´ung-chih (429-500) *MT eutocius of ascalon (fl. http://godlikeproductions.com/bbs/message.php?page=64&topic=3&message=278278&mpa

25. Search Results For Archimedes - Encyclopædia Britannica eutocius of ascalon University of St Andrews, Scotland Biosketch of Eutocius thoughtto have been born in 480, and popular for his commentaries on three works http://www.britannica.com/search?query=archimedes&fuzzy=N&ct=igv&start=6&show=10

26. Mathematicians Zu Chongzhi (Wenyuan) Tsu Ch ungchih (429-500) *mt. eutocius of ascalon (fl.c. 480) *SB. Isidorus of Miletus (c. 540?) *SB. eutocius of ascalon (c. 550?). http://www.chill.org/csss/mathcsss/Mathematicians.html

List of Mathematicians printed from: http://aleph0.clarku.edu:80/~djoyce/mathhist/mathhist.html 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 Hippias of Elis (fl. c. 425) *SB *mt Theodorus of Cyrene (c. 425) Socrates (469-399) Philolaus of Croton (d. c. 390) *SB Democritus of Abdera (c. 460-370) *SB *mt 400 B.C.E. Hippasus of Metapontum (or of Sybaris or Croton) (c. 400?) Archytas of Tarentum (of Taras) (c. 428-c. 347) *SB *mt Plato (427-347) *SB *MT Theaetetus of Athens (c. 415-c. 369) *mt Leodamas of Thasos (fl. c. 380) *SB

27. ƒtƒ‰ƒ“ƒX‰ÈŠwŽj‚̘A—‰ï@|@ŽGŽÐ‰î@|@Revue D' des Comiques d'Apollonios de Pergé édité par eutocius d'ascalon. S. ROMMEVAUX La proportionnalité numérique dans http://www.geocities.com/sjhsf/sjhsfrhm.html

ISSN 1262-022X 2 fascicules par an/ 2 issues per year. public 220FF membre 160FF 1999 Tome 5 Fascicule 1 V. REMMERT - Mathematicians at War. Power Struggles in Nazi Germany's Mathematical Community : Gustav Doetsch and Wilheim Suss 1998 Tome 4 Fascicule 2 R. NETZ - Deuteronomic Texts : Late Antiquity and the History of Mathematics Fascicule 1 1997 Tome 3 Fascicule 2 Fascicule 1 J. GRAY - Algebraic geometry between Noether and Noether - A forgotten chapter in the history of algebraic geometry 1996 Tome 2 Fascicule 2 L. DELL'AGLIO - On the genesis of the concept of covariant difierentiation Fascicule 1 T. ARCHIBALD - From attraction theory to existence proofs : the evolution of potential-theoretic methods in the study of boundary-value problems, 1860-1890 1995 Tome 1 Fascicule 2 Fascicule 1 U. BOTTAZZINI, R. TAZZIOLI - Naturphilosophie and its role in Riemann's mathematics L. SINEGRE - Les quaternions et le mouvement du solide autour d'un point fixe chez Hamilton Retour aux Archives

28. Eutocius ascalon, grec, 6ème siècle. eutocius (ou Eutochyus) d ascalonvécut au début du 6è siècle. Il fut retrouvé deux http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Eutocius.html

Commentaires Apollonius de Perge et d' duplication du cube Proclus alexandrines Proclus : Ariabhata

29. SMF - Publications - Revue d'Histoire des Mathématiques - 5 de Pergé édité par eutocius d ascalon Résumé et texte intégral. http://smf.emath.fr/Publications/RevueHistoireMath/5/html/

ACM Annuaire MaTeXo MathDoc ... SMAI SMF P ublications N P ... L Volker R. Remmert Micheline Decorps-Foulquier Coniques Sabine Rommevaux de Campanus Karine Chemla David Fowler Inventive interpretations Della D. Fenster Leonard Dickson's History of the Theory of Numbers : An historical study with mathematical implications Bernard Bru - Marie-France Bru - Kai Lai Chung Tuong Ton-That - Thai-Duong Tran Karen Hunger Parshall Telling the Life of a Mathematician: The Case of J.J. Sylvester Notice sur Pierre Dugac ISSN :

30. Editeur - A. Blanchard eutocius D ascalon(LES), Livre. http://www.math.univ-rennes1.fr/bibli/catalogue/Reference.htm&numrec=19191910291

Accueil Index Auteur Type de document Thesaurus Recherche Simple Expert Affiner la recherche Revues Mes paniers Mon panier Nouveau panier Affiner la recherche (23 Documents) Chercher ? Mots du titre Auteurs Source Commentaire Autres champs aaaa aaaa, mm/aaaa, jj/mm/aaaa Titre exact CD Colloque Livre Revue VIDEO Editeur A. Blanchard A. Blanchard Ajouter au panier Imprimer Envoyer par mail Livre Gray, Jeremy J. Walter, Scott A. Berlin Paris : Akademie Verlag A. Blanchard , 1997, 108 p. Livre Trignan, Jean Paris : A. Blanchard , 1994, 101 p. Le Calcul indien (algorismus) Livre al-Khwarizmi, Muhammad Ibn Musa Roshdi, Rashed. Paris Namur : A. Blanchard , 1992, lxxi-270 p. Livre de Fermat, Pierre Tannery, Paul Rashed, R. Houzel, Christian ... Christol, Gilles Paris : A. Blanchard , 1999, x-502 p. THEORIE DES NOMBRES. TOME 1 : LE CALCUL DES NOMBRES ENTIERS - LE CALCUL DES NOMBRES RATIONNELS - LA DIVISIBILITE ARITHMETIQUE Livre Lucas, Edouard PARIS : A. Blanchard , 1961, XXXIV-520 p. SPHERIQUES DE THEODOSE DE TRIPOLI (LES) Livre THEODOSE DE TRIPOLI VER EECKE,Paul

31. Fiche Document -OEUVRES COMPLETES D'ARCHIMEDE SUIVIES DES COMMENTAIRES D'EUTOCIU DES COMMENTAIRES D eutocius D ascalon(LES) Archimede ; VER EECKE,Paul (Ed http://www.math.univ-rennes1.fr/bibli/catalogue/Document.htm&numrec=031960568914

Accueil Index Auteur Type de document Thesaurus Recherche Simple Expert Affiner la recherche Revues Mes paniers Mon panier Nouveau panier Affiner la recherche (1 Documents) Chercher ? Mots du titre Auteurs Source Commentaire Autres champs aaaa aaaa, mm/aaaa, jj/mm/aaaa Titre exact CD Colloque Livre Revue VIDEO Livre - Cote : OEUVRES/ARC - (disponible) OEUVRES COMPLETES D'ARCHIMEDE SUIVIES DES COMMENTAIRES D'EUTOCIUS D'ASCALON(LES) Archimede VER EECKE,Paul (Ed.) PARIS : A. Blanchard , 1960, 378-763 p. histoire des sciences Archimede Ajouter Imprimer Envoyer par mail PARIS Type doc RNBM : O Langue : F Exemplaires 1 - OEUVRES/ARC Fax 02 23 23 67 90 email bibirmar@univ-rennes1.fr Mon espace Mes paniers Recherche rapide Identification Identifiant : Mot de passe :

32. AAC Database - Full View Of Document Language, FRE. Ad.Author, Mugler, Charles. Ad.Author, eutocius, of ascalon.Library use only Click the icon to prepare the document for download to the. http://valeph.tau.ac.il/ALEPH/ENG/TAU/AAC/AAC/FIND-ACC/0500028

Sourasky Central Library Full View of Document The catalog has moved to a new system, which is accessible at: This version of the catalog is no longer updated. To mail a Bibliographic record to your E-mail account. System No Author Archimedes Unif-Tl [Works. 1970-1972] Title Archimede / texte etabli et traduit par Charles Mugler Location Imprint Paris : Belles Lettres, 1970-1972 Year Pages 4 v. : ill. Subject Archimedes; Mathematics, GreekSources; Contents t.1: Contents De la sphere et du cylindre Contents La mesure du cercle Contents Sur les conoides et les spheroides Contents t.2: Contents Des spirales Contents De l'equilibre des figures planes Contents L'arenaire Contents La quadrature de la parabole Contents t.3: Contents Des corps flottants Contents Stomachion Contents La methode Contents Le livre des lemmes Contents Le probleme des boeufs Contents t.4: Contents Commentaires d'Eutocius Contents Fragments Language GRE Language FRE Ad.Author Mugler, Charles Ad.Author Eutocius, of Ascalon Library use only - Click the icon to prepare the document for download to the

33. Bibliography 287212 BC, Oeuvres completes d Archimede / suivies des commentaires d eutocius d ascalon;traduites du grec en francais avec une introduction et des notes par http://www.library.cornell.edu/math/bibliography/display.cgi?start=A&

34. Lebensdaten Von Mathematikern Translate this page von Knidos (408 - 355 v. Chr.) Euklid (um 365 - um 300 v. Chr.) Euler, Leonhard (15.4.1707- 18.9.1783) eutocius von ascalon (um 480 - um 540) Evans, Griffith http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html

Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers in some old and distant town from places no one here remembers come the things we've handed down. Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

35. M.-L. Freyburger - Archytas De Tarente un commentateur d Archimède du début du même siècle, eutocius d ascalon. http://bcs.fltr.ucl.ac.be/FE/06/Archytas.html

FEC 6 (2003) Folia Electronica Classica (Louvain-la-Neuve) folia_electronica@fltr.ucl.ac.be Archytas de Tarente : par Marie-Laure Freyburger-Galland ml.freyburger@uha.fr que publie depuis 2001 le son site editio minor. editio maior de Crealiana, FEC, un article traitant de la vision que Dion Cassius avait de l'Italie : Plan Introduction I. Archytas et Platon III. Archytas pythagoricien Conclusion ... Notes Introduction Vie d'Archytas Quant au lexique de la Souda (s.v. Archutas), il ajoute qu' VI, 280) : (Lettre On ne sait pas exactement quand il mourut, mais Horace (Odes, Te maris et terrae numeroque carentis harenae Mensorem cohibent, Archytas, Pulueris exigui prope latum parua Matinum Munera nec quicquam tibi prodest Aerias temptasse domos animoque rotundum Percurrisse polum morituro. Retour au plan I. Archytas et Platon (Rep. ext. (Lettre (Dion, (Lettre (ibid. (ibid. 350 a-b, et Plut., Dion, Caton l'Ancien Retour au plan Politique, sa et sa Physique

36. Theuth-Bernard Translate this page Nantes). « Les aspects rhétoriques de la pratique de commentateurd’eutocius d’ascalon », article en préparation. « Proclus http://name.math.univ-rennes1.fr/theuth/biblios/theuth-bernard.html

Alain BERNARD 80 rue du Chemin Vert, PARIS 11 alainguy.bernard@wanadoo.fr Travaux : , Rennes, 2002 : 189-207. Collection Archive for History of Exact Sciences Science in Context mai 2000, 13 Analysis and Sophistics in Pappus' Collectio Mathematica juil 2001, 21 Ancient rhetoric and Greek mathematics or how studying the ancient tradition of rhetoric could solve some dilemmas of the modern history of mathematics. Titre : Why do we need a new study of Proclos's commentary on Euclid? Titre: Why and how was Proclus commenting on Euclid ? Titre : Mathematics, Rhethoric and Religion in Late Antiquity.

37. Mathematic Historic Style % % This File Is Based On A Table Of Euler}{{\sc Euler}\footnote{{\sc Leonhard Euler}, \born 15.4.1707, \died 18.9.1783}} \newcommand{\eutociusvonascalon}{{\sc eutocius von ascalon}\footnote{{\sc http://www.tug.org/tex-archive/macros/latex/contrib/mhs/mhs.sty

38. Skeleton DRAFT Of Selective Bibliography 3 vols. 215 Ver Eecke, Paul. \bk Les oeuvres compl\`etes d Archim\`ede, suiviesdes commentaires d eutocius d ascalon. \en 2nd ed. 1960. 2 vols. Aristarchos. http://poncelet.math.nthu.edu.tw/chuan/history/out.html

Reminder: This copy is intended as an aid in preparing the new edition of the bibliography. It contains the briefest listing of proposed entries for the new CD-ROM edition and does not include the full bibliographical information or annotations that will appear in the new edition. It also includes fragments of the TeX coding and tagging that will not be visible in the final version. Version number: 1.0 10 July 1997 acl I. GENERAL REFERENCE WORKS DICTIONARIES, ENCYCLOPEDIAS, AND BIBLIOGRAPHIES PERIODICALS ABSTRACTING JOURNALS HANDBOOKS INDEXES II. SOURCE MATERIALS SOURCE BOOKS ARCHIVAL COLLECTIONS III. General Histories of Mathematics IV. THE HISTORY OF MATHEMATICS: CHRONOLOGICAL PERIODS ANCIENT MATHEMATICS EGYPTIAN MATHEMATICS Documents Survey of Extant Sources The Rhind Papyrus Texts Commentary Moscow Papyrus Text Commentary Egyptian Mathematical Leather Roll Texts Commentary Demotic Papyri Text Commentary Egyptian Fractions Egyptian Geometry Commentary Egyptian Astronomy Text Commentary Guide to Further Literature BABYLONIAN MATHEMATICS General Reference Chronological Periods Pre-Babylonian Mathematics and Metrology in the Middle East Babylonian Mathematics Personalia GREEK MATHEMATICS General Reference Works Source Materials Anthologies Individual Mathematicians Apollonios Archimedes Aristarchos Aristotle Autolykos Diocles Diophantos Euclid Heron Menelaos Nicomachus Pappos Proclos Ptolemy Theodosios General Histories of Greek Mathematics Studies

39. Who Was Who In Roman Times: List By Function, Results Antiochus(2255) year 88 BC; Antiochus of ascalon(2255) year 88 BC; Antipater(2257)No 790) year 313 AD; Eusebius of Emesa(790) year 313 AD; eutocius(796) year http://www.romansonline.com/Descrpt.asp?Desc=AU

40. DPhA 3 E ascalon, 245. 69, EUBOULIDÈS, 245. 174, EUTHYNOUSDE LOCRES, 392. 175, eutocius D ALEXANDRIE, 392. 176, EUTRAPELUS (P. VOLUMNIUS-), 396. http://upr_76.vjf.cnrs.fr/Instruments_travail/Dict_philosophes/DPhA3E.html

Lettre E ECPHANTE DE CROTONE PSEUDO-ECPHANTE EGNATIUS ELEUC(H)ADIUS ELPIDIUS ENDIOS DE SYBARIS ENNIUS (Q. -) ERENNIUS EUAION DE LAMPSAQUE EUANDROS DE CROTONE EUANOR DE SYBARIS EUATHLOS EUBIOS D'ASCALON EUBOULOS EUBOULOS EUBOULOS EUBOULOS D'ALEXANDRIE EUCAIROS EUCLIDE EUCLIDE EUCRATIDAS DE RHODES EUDAIMON EUDAIMON D'HADRIANOI EUDAMOS EUDAMOS EUDICOS EUDICOS DE LOCRES EUDOCIA ET PSEUDO-EUDOCIA EUDORE D'ALEXANDRIE EUDOXE DE CNIDE EUDOXIOS EUDOXIUS EUDOXIUS EUDOXIUS (MACROB. PLOTINUS -) EUDROMOS EU(H)ARMOSTOS EULAMIOS DE PHRYGIE EULOGIUS EUMOIROS DE PAROS EUNAPE DE SARDES EUNOME EUPHANTE D'OLYNTHE EUPHORION DE CHALCIS EUPHRANOR EUPHRASIUS EUPHRONIOS EUPHRONIOS EUPHRONIOS EUPO[- EURIPIDE EU]RYBOU[LOS EURYDICE (MEMMIA -) EURYLOQUE EURYPHAMOS DE SYRACUSE PSEUDO-EURYPHAMOS EURYPHON EURYPYLOS DE COS EURYSTRATOS EURYTOS DE TARENTE EUSTACHIUS EUSTATHE EUSTATHE D'ANTIOCHE EUSTATHE DE CAPPADOCE EUSTOCHIUS D'ALEXANDRIE EUTH[- EUTHYNOS DE TARENTE EUTHYNOUS DE LOCRES EUTOCIUS D'ALEXANDRIE EUTRAPELUS (P. VOLUMNIUS -) EUTROPIUS EVARETUS (Q. AELIUS EGRILIUS -) EXUPERANTIA (CONCORDIA -)

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