Geometry.Net - Mathematicians: Greek Mathematics

ThinkQuest Library Of Entries
¥±. The greek mathematics Demonstrative Geometry. ßCharacteristicof greek mathematics In the 600 BC Mathematics was focused
http://library.thinkquest.org/22584/temh2200.htm

Extractions: The web site you have requested, Mathematics History , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Mathematics History click here Back to the Previous Page The Site you have Requested ... click here to view this site Click image for the Site Languages : Site Desciption 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.
Basic Ideas In Greek Mathematics
Basic Ideas in greek mathematics. Michael Fowler. University of Virginia.
http://landau1.phys.virginia.edu/classes/109/lectures/greek_math.htm

Extractions: Link to Previous Lecture In our earlier discussion of the irrationality of the square root of 2, we presented a list of squares of the first 17 integers, and remarked that there were several "near misses" to solutions of the equation m n . Specifically, 3 + 1. These results were also noted by the Greeks, and set down in tabular form as follows: After staring at this pattern of numbers for a while, the pattern emerges: 3 + 2 = 5 and 7 + 5 = 12, so the number in the right-hand column, after the first row, is the sum of the two numbers in the row above. Furthermore, 2 + 5 = 7 and 5 + 12 = 17, so the number in the left-hand column is the sum of the number to its right and the number immediately above that one.
A History Of Greek Mathematics, Vol. 2
Click to enlage A History of greek mathematics, Vol. 2 Sir Thomas Heath. Our Price,$14.95. Availability In Stock. (Usually ships in 24 to 48 hours). Format Book.
http://store.doverpublications.com/0486240746.html

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A History Of Greek Mathematics, Vol. 1
Click to enlage A History of greek mathematics, Vol. 1 Sir Thomas Heath. Our Price,$14.95. Availability In Stock. (Usually ships in 24 to 48 hours). Format Book.
http://store.doverpublications.com/0486240738.html

Extractions: American History, American...... American Indians Anthropology, Folklore, My...... Antiques Architecture Art Astronomy Biology and Medicine Bridge and Other Card Game...... Chemistry Chess Children Consumer Catalogs Cookbooks, Nutrition Crafts Detective Stories, Science...... Dover Phoenix Editions Earth Science Engineering Ethnic Interest Features Science Gift Certificates Gift Ideas Giftpack History, Political Science...... Holidays Humor Languages And Linguistics Literature Magic, Legerdemain Mathematics Military History, Weapons ...... Music Nature Performing Arts, Drama, Fi...... Philosophy And Religion Photography Physics Psychology Puzzles, Amusement, Recrea...... Reference Specialty Stores Sports, Out-of-door Activi...... Science and Mathematics Stationery, Gift Sets Summer Fun Shop Travel and Adventure Women's Studies
Math Lair - Ancient Greek Mathematics History
Click Here! Ancient greek mathematics History. View a note on thesetimelines. 600 BC Thales introduces deductive geometry. It was
http://www.stormloader.com/ajy/greek.html

Extractions: View a note on these timelines If you're using , you can view a graphical timeline of famous mathematicians . If you're not, a text version may be more to your liking. After this point, see Greco-Roman mathematical history The main number system used by the Greeks during this period was the Attic system.
KLUWER Academic Publishers | The Beginnings Of Greek Mathematics
Books » The Beginnings of greek mathematics. The Beginnings of GreekMathematics. Kluwer Academic Publishers is pleased to make this
http://www.wkap.nl/prod/b/90-277-0819-3
The Golden Age Of Greek Mathematics
THE GOLDEN AGE OF greek mathematics. The Death of Alexander the Gratled to internal strife but by 306BC control of the Egyptian
http://www.scit.wlv.ac.uk/university/scit/modules/mm2217/gagm.htm

Extractions: The Death of Alexander the Grat led to internal strife but by 306BC control of the Egyptian portion of the empire was in the hands of Ptolemy 1. He established a school at Alexandria and Euclid became a teacher there. 5 works of Euclid have survived ' Elements ', 'Data', 'Division of Figures', Phaenomena' and 'Optics'. Euclid was a good teacher - no new discovery is attributed to him, he just wrote 'Elements' as a textbook. University students were being presented with a textbook ('Elements') which gave them the fundamentals of elementary mathematics (geometry and algebra). 'Elements' is divided into 13 books of which the first half dozen were at elementary plane geometry next 3 on numbers, book X on incommensurables and the last 3 on solid geometry. The book opens with a list of 23 definitions. Definitions do not really define because they use words which are no better known than the word being defined. eg. The Euclidean definition of a plane angle as "the inclination to one another of 2 lines in a plane which meet one another and do not lie in a straight line" is not very good because inclination has not being previously defined and is not better known than the word "angle". Following the definitions Euclid listed 5 postulates and 5 common notions (axioms).
Read This: The Shaping Of Deduction In Greek Mathematics
Read This! The MAA Online book review column review of The Shapingof Deduction in greek mathematics, by Reviel Netz. Read This!
http://www.maa.org/reviews/netz.html

Extractions: by Reviel Netz Reviel Netz has written an stimulating book about diagrams and mathematics, telling us facts that we all know, but hardly ever thought of. Thus he sets himself in the best of company, for isn't that what Euclid did from the very first proposition in the Elements? "The diagram is the metonym of mathematics" is RN's main claim. To understand what he means by that, think of two typical situations in the circus of conferences: if a philosopher or historian gives a talk, he will read aloud for half an hour, facing his audience without moving from his chair. If a mathematician gives a talk, he will dance around the platform talking to the blackboard while writing figures and letters on it, most of the time ignoring his audience and concentrating on his written deductions as they emerge out of sheer necessity. Years ago David Fowler (of Plato's Academy ) coined a motto: "Greek mathematics is to draw a figure and tell a story about it." RN has widened and deepened this into "Deductive mathematics grew out of the Greeks drawing lettered diagrams and telling stories by means of them, not only about them." The diagram and the argument live in such a close symbiosis that one cannot be understood without the other. The diagram is the metonym of mathematics.
Nardia Symonds : Greek Mathematics
Nardia Symonds gives a survey of the history of greek mathematics as part of theassessment for the Honours Pure Mathematics subject 'History of Mathematics
http://www.maths.adelaide.edu.au/pure/pscott/history/nardia/symonds1.htm
Nardia Symonds : Greek Mathematics
Pythagoras gained an interest in mathematics, astronomy and travelling,from Thales. However most of what he was taught was by Anazimander
http://www.maths.adelaide.edu.au/pure/pscott/history/nardia/symonds3.htm

Extractions: Thales Pythagoras Zeno Euclid Eratosthenes Archimedes Pythagoras of Samos 500 BC Pythagoras gained an interest in mathematics, astronomy and travelling, from Thales. However most of what he was taught was by Anazimander, Thales pupil, whose ideas left an impression on Pythagoras. There is not much that is known about the actual work of Pythagoras and the secrecy of his community makes it difficult to distinguish between his work and the work of the community. The work of the Pythagoreans was great and their contributions to mathematics, outstanding. They were interested in the principles of mathematics, concepts and abstract ideas of proof, rather than solving physical problems. The Pythagoreans believed all relations could be reduced to numbers. From this they classified numbers; some of their classfications include: female (even), male (odd), triangular, square, prime, composite or perfect. Today, Pythagoras is remembered for his famous geometry theorem. It is believed that, although the Babylonians knew of this theorem 1000 years earlier, Pythagoras was the first to prove it. Next page Greek Mathematics home page
About "Basic Ideas In Greek Mathematics"
Basic Ideas in greek mathematics. Library Home Full Table of Contents Suggest a Link Library Help Visit this site http//galileoandeinstein
http://mathforum.org/library/view/41703.html

Extractions: Visit this site: http://galileoandeinstein.physics.virginia.edu/lectures/greek_math.htm Author: Michael Fowler; University of Virginia Description: Lecture notes from a course entitled "Galileo and Einstein." Nailing down the square root of 2. Zeno's paradoxes: Achilles and the tortoise. Proving an arrow can never move - analyzing motion, the beginning of calculus. How Archimedes calculated Pi to impressive accuracy, squared the circle, and did an integral to find the area of a sphere. Levels: High School (9-12) College Languages: English Resource Types: Course Notes Math Topics: Imaginary/Complex Numbers Pi Euclidean Plane Geometry History and Biography ... Search
[HM] Is Greek Mathematics The *real* Thing?
a topic from HistoriaMatematica Discussion Group HM Is greek mathematics the*real* thing? post a message on this topic post a message on a new topic
http://mathforum.org/epigone/historia_matematica/fringblingshu/
C. 4th Greek Mathematics
Day 17 4th century greek mathematics. Summary. Development 190. R. Netz,The Shaping of Deduction in greek mathematics, 272311. On to Day 18.
http://it.stlawu.edu/~dmelvill/323/Day17.html
Exam 2: Greek And Hellenistic Mathematics
Discuss the role of computation in greek mathematics. Discuss the idea of definitionsin greek mathematics. Discuss the role of patronage in greek mathematics.
http://it.stlawu.edu/~dmelvill/323/Day26.html

Extractions: This second exam will cover the material since the first exam. That is, Greek and Hellenistic mathematics. Some of the topics you should be familiar with are: geography of the Mediterranean littoral: Miletus, Samos, Athens, Alexandria, Syracuse, Pergamum; dates at which various centers flourished: Plato's Academy, Alexandria; location, date, sources and significance of the contributions of: Plato, Eudoxus, Theaetetus, Euclid, Archimedes, Apollonius; Greek numerical systems; 'fractions'; Greek arithmetic and the abacus; arithmetical tables; Pythagorean number theory; incommensurability: side and diagonal arguments; classification of 'irrationals'; numbers and magnitudes; ratio and proportion; axiomatic presentation of mathematics; Platonic mathematical philosophy: the nature of forms; the Platonic curriculum: use and purpose of mathematics; actual usage and purpose of mathematics in the classical world; Netz's analysis of classical mathematics and mathematicians; sources and transmission in the classical world: how mathematicians learned and corresponded;
¥±. The Greek Mathematics : Demonstrative Geometry
?. The greek mathematics Demonstrative Geometry. Characteristicof greek mathematics In greek mathematics after Euclid. One
http://seoul-gchs.seoul.kr/~contest/tq/mathematics/temh2200.htm

Extractions: HOME Back Graphic Version ¥±. The Greek Mathematics : Demonstrative Geometry ¢º Characteristic of Greek Mathematics ¢º Pythagorean Mathematics ¢º The Three Famous Problems ¢º Greek Mathematics After Euclid ¡ßCharacteristic of Greek Mathematics In the 600 B.C. Mathematics was focused as a study and a science in the ancient Greek as a matter of course in China, India and Babylonia and to learn Geometry in Egypt.
Greece - Greek Math
Resources on ancient greek mathematics, calculations, geometry,and on Zeno, Archimedes, and Roman numerals.
http://ancienthistory.about.com/cs/greekmath/
Resources For Greek Mathematics
Resources and Notes for greek mathematics. Powerpoint demonstrationof squaring a triangle; Squaring the circle; Doubling the cube;
http://www2.sunysuffolk.edu/wrightj/MA28/Greek/
GREEK MATHEMATICS
greek mathematics. SCAVENGER HUNT. Use complete paragraphs so that your answerstell the story of ancient Greek contributions to the history of mathematics.
http://www.fort-mill.k12.sc.us/fmhs/fosterc/greek_mathematics.htm

Extractions: GREEK MATHEMATICS SCAVENGER HUNT INTRODUCTION The Geometry we study is called Euclidean Geometry because Arabic and Latin translations of Euclid's 13 volume work, The Elements , are among the oldest known records of the formal study of mathematics. Because little original work of ancient Greek mathematicians still exist, we cannot be sure how much of mathematics in The Elements can be credited to Euclid. At the very least, Euclid arranged, perfected and provided rigorous proof for mathematics originated by his predecessors. Euclid and his followers were among the first mathematicians to recognize the importance of rigorous proof. They were not content to accept a rule just because it was true in a particular case. A few rules, called postulates, were accepted as true because they were obvious truths which could not be disproved. Other rules, called theorems, were proved using postulates and previously proved theorems. Thus the study of mathematics moved from discovery (inductive reasoning) to demonstration that those discoveries must be true (deductive reasoning.) By studying the history of Greek mathematics and Greek mathematicians, you will learn the basis for your study of Euclidean Geometry this semester. Later this will serve as a contrast to two non-Euclidean geometries, Elliptic and Hyperbolic.
Greek Mathematics
The mathematics we use today, and its content, are for the most partGreek. The There are many famous Greek names in mathematics. One
http://atschool.eduweb.co.uk/sirrobhitch.suffolk/Portland State University Greek

Extractions: The ancient Greeks were very interested in scientific thought. They were not satisfied with just knowing the facts; they wanted to know the why and how. It should be no surprise that the Greeks were extremely successful in the area of mathematics. The mathematics we use today, and its content, are for the most part Greek. The Greeks laid down the first principles, and invented methods for solving problems. Though most people don't realize it, mathematics is a Greek science - regardless of what modern day analysis might bring. When people look back on Greek genius, they may naturally call to mind masterpieces in Greek literature and art . But the Greeks, with their insatiable desire to know the true meaning of everything and give a rational explanation of it, were irresistibly drawn to the sciences, exact reasoning in general, and logic. There are many famous Greek names in mathematics. One of which is Aristotle , who said he could conceive of nothing more beautiful than the objects of mathematics. Plato , delighted in geometry and the wonders of numbers, inscribed, "let no one destitute of geometry enter my doors" over the entrance to his academy.
Greek Mathematics James J. Woeppel
3Sep-02 greek mathematics James J. Woeppel
http://portfolio.iu.edu/jwoeppel/M110/Greekmath.htm

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