21. Full Alphabetical Index Translate this page 179*) Aronhold, Siegfried (234*) Artin, Emil (475*) Aryabhata the Elder (257) Atiyah,Michael (885*) Atwood, George (186) autolycus of pitane (810) Avicenna http://www.maththinking.com/boat/mathematicians.html

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ 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 (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

22. 300 BC He died 60 years later. autolycus of pitane and Perseus was born. SunZi, also known as Master Sun may have been alive in this year. http://faculty.oxy.edu/jquinn/home/Math490/Timeline/300BC.html

300 BC We have several contributions for this time period. Choose your preferred author or scroll down to read all the contributions. Authors: Sergio Gonzalez Clarence L. Terry Charles DeBoer Henry Sheen Aristarchus was only 10 this year. He was later to find an improved value for the length of the length of the solar year. Nicomedes was brought into the world this year. He died 60 years later. Autolycus of Pitane and Perseus was born. Sun Zi, also known as Master Sun may have been alive in this year. Little is known about the author of the famous Chinese mathematical text Sun Tze Suan Ching. This book "provides its readers with a valuable source for understanding the rod numerals computation process and the famous Chinese remainder problem. Author: Sergio Gonzalez References: Mactutor Website, h ttp://www-groups.dcs.st-andrews.ac.uk/~history/Chronology/WhoWasThere.html History of Mathematics! Website, http://mathserv.math.sfu.ca/History_of_Math/mapidx.html Approximately during the year 300 B.C. was the time when Euclid produced his famous work Elements , not to be confused with the work of Hippocrates under the same title. Euclid's elements was a comprehensive work in the areas of geometry, proportions, and the theory of numbers. Euclid, a disciple of the Platonic school, produced this 13-volume work that is considered

23. ACADEMIA_INDICE quadratrix. autolycus of pitane (330 BC), His treatise On the MovingSphere is the oldest written work to survive until the present day. http://descartes.cnice.mecd.es/ingles/maths_workshop/A_history_of_Mathematics/Gr

PLATO: THE ACADEMY History 1. BACKGROUND TO THE PERIOD Aristotle and Plato in the centre of Raphael's painting "The School in Athens". The Vatican Museum. The Peloponnesian Wars took place in the IVth century B.C. Sparta fought against Athens and behind them other Greek towns followed them into warfare. Sparta called on Persia to help them keep control of the towns they had occupied. Athens and Thebes became allies and together managed to defeat Sparta. King Philip of Macedon took advantage of the situation and became ruler of Greece. His reign lasted from 360 B.C. to 336 B.C. when, upon his death, his son Alexander took the throne. Alexander the Great was responsible for the invasion of the Persian empire, which included Syria, Palestine, Egypt, Mesopotamia and Iran. This century began with the death of Socrates (399 B.C.) The two great philosophers Aristotle and Plato , one of Socrates students and admirers also belonged to this period along with Archytas. Aristotle was Alexander the Great's private tutor and instilled in him the superiority of the Hellenic culture and encouraged him to go East and extend his empire. Plato managed to bring the greatest thinkers of the time together at his Academy in Athens. His contributions to mathematics include his rigorous method of justifying solutions through logical reasoning, his

24. Mathematicians c. 350330) *SB *mt. Eudemus of Rhodes (the Peripatetic) (fl. c. 335) *SB.300 BCE. autolycus of pitane (fl. c. 300) *SB. Euclid (fl. c. 295) *SB *MT. 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

25. Full Alphabetical Index 179) Aronhold, Siegfried (234*) Artin, Emil (475*) Aryabhata the Elder (257) Atiyah,Michael (885*) Atwood, George (186) autolycus of pitane (810) Avicenna 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)

26. Science 1206 - Unit 3 - Test #1 Review Sheet 347); converting units (page 348); autolycus of pitane (page 355);speed (page 354359); displacement (page 412 - top of 416); Chinese http://redbaron.bishops.ntc.nf.ca/science/1206/phys/1206rev1.html

Science 1206 - Unit 3 Test #1 Review Sheet The Test Is On Thursday December 6, 2001. Textbook page references are in brackets. This test is on Uniform motion. You should understand the following topics: distance (page 340) time (page 340) Mariner 1 (page 347) converting units (page 348) Autolycus of Pitane (page 355) speed (page 354-359) displacement (page 412 - top of 416) Chinese and Negative Numbers (page 415) scalar (page 414 - 415) vector (page 414 - top of 416) SI units for distance, time and speed (page 347) How to calculate average speed (page 354 - 359) constant speed (page 354 - 359) How to determine instantaneous speed (page 354 - 359 outliers (In Your Notes) x coordinate (In Your Notes) y coordinate (In Your Notes) x axis (In Your Notes) y axis (In Your Notes) independent variable (page 362) dependant variable (page 362) What axis the independent variable is placed on? (page 362) What axis the dependent variable is placed on? (page 362) How to plot a distance-time graph. (page 362 - 365) How to calculate the slope of the line in a distance-time graph. (page 362 - 365) What the slope of a distance-time graph equals. (page 362 - 365)

27. Mathem_abbrev of Perga Appell, Paul Archimedes of Syracuse Archytas of Tarentum Arf, Cahit Aristarchusof Samos Aristotle Atiyah, Michael autolycus of pitane Avicenna, Abu http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

28. Adventures In CyberSound Euclid extant in Greek, is a treatise on the geometry of the sphere for use in astronomyand is similar in content to the work, by autolycus of pitane, Moving Sphere. http://www.acmi.net.au/AIC/EUCLID_BIO.html

29. Biography-center - Letter A doctor.cfm/322.html; autolycus of pitane, wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/Autolycus.html;Autry, Gene elvispelvis http://www.biography-center.com/a.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish A 571 biographies Aachen, Hans von www.kfki.hu/~arthp/bio/a/aachen/biograph.html Aachen, Hans von www.getty.edu/art/collections/bio/a3241-1.html Aamodt, Kjetil Andre www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=74486 Aaron, Henry L. www.hickoksports.com/biograph/aaronhen.shtml Aarons, Ruth Hughes www.hickoksports.com/biograph/aaronsrh.shtml#other Aarskog, Dagfinn www.whonamedit.com/doctor.cfm/351.html Aase, Jon Morton www.whonamedit.com/doctor.cfm/334.html Abadie, Joseph Louis Irénée Jean www.whonamedit.com/doctor.cfm/35.html Abate, Nicolò dell www.getty.edu/art/collections/bio/a672-1.html Abbad ibn Bishr, www.usc.edu/dept/MSA/history/biographies/sahaabah/bio.ABBAD_IBN_BISHR.html Abbat, Agnes Dean whitemountainart.com/Biographies/bio_ada.htm Abbate, Niccolo dell'

30. Re: [HM] An Ancient Greek Library By George L. McDowell, Jr. 2.. Antiphon 3.. Apollonius of Perga 4.. Archimedes 5.. Archytas of Taras 6.. Aristaeus7.. Aristarchus of Samos 8.. Aristotle 9.. autolycus of pitane 10.. http://mathforum.org/epigone/historia_matematica/merpreezan/009501c19c80$c7b37b6

Re: [HM] An ancient Greek library by George L. McDowell, Jr. reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: Re: [HM] An ancient Greek library Author: geomcd@erols.com Date: The Math Forum

31. Science Timeline About 310 bce, autolycus of pitane defined uniform motion as being when a pointis said to be moved with equal movement when it traverses equal and similar http://www.sciencetimeline.net/prehistory.htm

use checkboxes to select items you wish to download About 10,000 bce, wolves were probably domesticated. [added 02/01/03] By 9000 bce, sheep were probably domesticated in the Middle East. About 7000 bce, there was probably an hallucinagenic mushroom By 7000 bce, wheat was domesticated in Mesopotamia. The intoxicating effect of leaven on cereal dough and of warm places on sweet fruits and honey was noticed before men could write. By 6500 bce, goats [added 02/01/03] maces [added 02/01/03] walled communities [added 02/01/03] About 4800 bce, there is evidence of astronomical calendar stones on the Nabta plateau, near the Sudanese border in Egypt. A parade of six megaliths mark the position where Sirius About 4000 bce, horses were being ridden on the Eurasian steppe by the people of the Sredni Stog culture (Anthony et al. About 4000 bce, light wooden plows were used in Mesopotamia. Between 4000 and 3500 bce, copper smelting in minute quantities was introduced in Mesopotamia. [added 02/01/03] Between 4000 and 3500 bce, copper smelting in minute quantities was introduced in Mesopotamia.

32. 7. Appendix Geometry And Astronomy. autolycus of pitane (end of IV BC) and Euclid wrote books about sphericalgeometry, in axiomaticdeductive Euclidean style, aimed to astronomical http://www.dm.uniba.it/~psiche/bas2/node8.html

Next: About this document Up: BEING AND SIGN Previous: 6. Conclusions. 7. Appendix: Geometry and Astronomy. Is it possible a reconstruction of the evolution of the earliest geometry, until Euclid? And together, also the beginning of Greek astronomy? Maybe, not. However, it is not out of place to try this enterprise at the end of these two first reports, at least to fix our ideas. There is an ancient link between discrete, music and social-ritual space organisation on the one hand, and geometry, astronomy and social-ritual time on the other hand. In the figure 11 this correspondence is roughly displayed as described in Levi-Strauss Mythologiques, in Pythagorean mathematics and in modern mathematical physics. In the following we try to outline the historical connection between geometry and astronomy in Greek culture. The whole axiomatic method is heavily indebted with the eleatic dialectics. For example many terms have dialectic roots. The distinction between axioms and postulates also can be better realised reminding this origin: axioms were linked to the reductio ad absurdum, and were used to substitute the evidence-driven demonstrations. The postulates were instead typical assumptions by which to develop an argument. Eudoxus changes radically also Greek astronomy, and opens the road ''to the search for geometrical representations of the planetary system'' (4). He assumes four concentric rotating spheres for each planet ((NEUGEBAUER 1975),677), according to Heath, I 323, ''the first attempt at a purely mathematical theory of astronomy''. This is the thorough breakdown of the ''mythological paradigm'' in its core: the sky. It becomes a part of reality, even though subjected to its peculiar laws, where however logic and mathematics, and then human reason, hold. From Meteorologica (345a) we know instead that still for some Pythagoreans the Milk-way was produced by Phaeton's catastrophe, as a burning caused by some star or from the sun. In the so-called 'Eudoxus papyrus', about 300 B.C., fixed stars move on parallel circles, whereas planets, sun and moon motion form spirals. (687)

33. ENC: Curriculum Resources: A History Of Mathematics (ENC-017351, Full Record) Method of exhaustion Mathematical astronomy Menaechmus Duplication of the cube Dinostratusand the squaring of the circle autolycus of pitane Aristotle End of http://www.enc.org/resources/records/full/0,1240,017351,00.shtm

Skip Navigation You Are Here ENC Home Curriculum Resources Advanced Search ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. A history of mathematics ENC#: ENC-017351 Edition: Second edition. Publisher: John Wiley and Sons, Inc Date: Ordering Information Grades: 6 7 8 9 10 11 12 Post-secondary Abstract: This text presents a chronological look at the development of mathematics. It starts with the concept of number, which is the foundation of mathematics. The book then describes how each layer of mathematical knowledge was added and how various cultures contributed to the general mathematical knowledge over the centuries. In many instances, the development of a concept took place in more than one geographical location, such as the idea of logarithms. John Napier of Scotland was the first to publish a work on logarithms, but Jobst Burgi of Switzerland developed a similar idea at about the same time. A chronological table, beginning with the origin of the sun and ending with 1980, places important mathematical developments in relation to historical world wide events. Forty pages of references are included. (Author/JAR) User Comments: None currently available.

34. Euclid Those works are part of a corpus known as “The Little Astronomy”that also includes the Moving Sphere by autolycus of pitane. http://www.kat.gr/kat/history/Greek/Tc/Euclid.htm

Euclid flourished c. 300 BC , Alexandria, Egypt Greek Eukleides the most prominent mathematician of Greco-Roman antiquity, best known for his treatise on geometry, the Elements Life Of Euclid's life nothing is known except what the Greek philosopher Proclus (c. AD BC Elements BC Sources and contents of the Elements Euclid compiled his Elements from a number of works of earlier men. Among these are Hippocrates of Chios (fl. c. 460 BC BC BC ). The older elements were at once superseded by Euclid's and then forgotten. For his subject matter Euclid doubtless drew upon all his predecessors, but it is clear that the whole design of his work was his own, culminating in the construction of the five regular solids, now known as the Platonic solids. A brief survey of the Elements BC ). While Book V can be read independently of the rest of the Elements arithmos antanaresis (now known as the Euclidean algorithm), for finding the greatest common divisor of two or more numbers; Book VIII examines numbers in continued proportions, now known as geometric sequences (such as a x a x a x a x ); and Book IX proves that there are an infinite number of primes.

35. GRBS Contents 9 (1968) 4754; Petronian Numbers, 9 (1968) 55-57; autolycus of pitane,De Ortibus 1.6, 9 (1968) 58; On Fragments of Three Historians http://www.duke.edu/web/classics/grbs/contents.html

Contents, volumes 1- (1958- ) B C D E ... Z A Ackerman, Robert, "Some Letters of the Cambridge Ritualists," 12 (1971) 113-136 "Jane Ellen Harrison: The Early Work," 13 (1972) 209-230 "Verrall on Euripides' Suppliants 939ff," 14 (1973) 103-108 "Sir James G. Frazer and A. E. Housman: A Relationship in Letters," 15 (1974) 339-364 Adams, Audrey B.: see Beck, Curt W. Adeleye, Gabriel, "The Purpose of Dokimasia ," 24 (1983) 295-306 Adkins, A. W. H., "The Arete of Nicias: Thucydides 7.86," 16 (1975) 379-392 Ager, Sheila L., "Civic Identity in the Hellenistic World: The Case of Lebedos," 39 (1998) 5-21 Alfoldy, Geza, "The Crisis of the Third Century as Seen by Contemporaries," 15 (1974) 89-111 Andersen, Oivind, "A Note on the 'Morality' of Gods in Homer," 22 (1981) 322-327 Anderson, Graham, "Lucian and the Authorship of De Saltatione ," 18 (1977) 275-286 "Lucian's Nigrinus: : The Problem of Form," 19 (1978) 367-374 Anderson, William S., "Euripides'

36. Data Collection And Measurement In The Hellenistic Period You previously read a selection from the earliest surviving author to writeon astronomy, autolycus of pitane (in IrbyMassie and Keyser, pp 50-53). http://shot.holycross.edu:8080/cocoon/science/F02/assignments/measurement1

37. References For Autolycus Books autolycus of pitane, On the moving sphere and on risings and settings (Beirut,1971). TL Heath, A history of Greek mathematics I, II (Oxford, 1931). http://math.ichb.ro/History/References/Autolycus.html

38. Chronology For 500BC To 1AD About 330BC autolycus of pitane writes On the Moving Sphere which studiesthe geometry of the sphere. It is written as an astronomy text. http://math.ichb.ro/History/Chronology/500BC_1AD.html

39. áíáæÞôçóç âéâëéïãñáößáò2 Aristotle. Aristotle. Aristotle. Works by Aristotle. autolycus of pitane. Autolycusof Pitane. autolycus of pitane. Democritus. Democritus. Democritus. Democritus. http://www.oncology.gr/1/epistimesarchaia2.HTM

Aristotle Aristotle Aristotle Aristotle Aristotle ... Works by Aristotle Autolycus of Pitane Autolycus of Pitane Autolycus of Pitane Democritus Democritus Democritus Democritus Democritus Dinostratus Dinostratus Empedocles Empedocles Empedocles Empedocles Empedocles ... Empedocles- Fragments and Commentary Eratosthenes Eratosthenes Eratosthenes Eratosthenes Eratosthenes ... Eratosthenes Euclid Euclid Euclid Euclid Euclid ... Euclid, Elements Eudoxus of Cnidus Eudoxus of Cnidus Eudoxus of Cnidus Eudoxus of Cnidus Eudoxus of Cnidus ... Eudoxus of Cnidus-Homocentric Spheres Gorgias Gorgias Gorgias Gorgias Gorgias by Plato Heraclides of Pontus Heraclides of Pontus Heraclides of Pontus Heraclitus of Ephesus Heraclitus of Ephesus Heraclitus of Ephesus Heraclitus of Ephesus Heraclitus of Ephesus ... Heraclitus of Ephesus var MenuLinkedBy='AllWebMenus [2]', awmBN='494'; awmAltUrl='';

40. Áëëåò ÅðéóôÞìåò óôçí Áñ÷áßá ÅëëÜäá Archimedes. Archytas of Tarentum. Aristarchus. Aristeus the Elder. Aristotle.autolycus of pitane. Democritus. Dinostratus. Empedocles. Eratosthenes. Euclid. http://www.oncology.gr/1/1500ab.htm

Other Sciences in Ancient Greece An ancient Greek Computer Ancient Greek Astronomy Ancient Greek Mathematics Ancient Greek Mathematics ... Zeno of Elea

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