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         Greek Mathematics:     more books (100)
  1. Ibn Al-Haytham's Completion of the Conics (Sources in the History of Mathematics and Physical Sciences) (Indo-European and English Edition) by J.P. Hogendijk, 1984-12-13
  2. Euclid: The Great Geometer (The Library of Greek Philosophers) by Chris Hayhurst, 2006-02-03
  3. Mathematics and Its History (Undergraduate Texts in Mathematics) by John Stillwell, 2010-08-02
  4. Pappus of Alexandria and the Mathematics of Late Antiquity (Cambridge Classical Studies) by Serafina Cuomo, 2007-06-21
  5. Specious Science: Why Experiments on Animals Harm Humans by C. Ray Greek, Jean Swingle Greek D.V.M., 2003-10-28
  6. History of Geometry: History of geometry. Egyptian mathematics, Babylonian mathematics, Indian mathematics, Chinese mathematics, Greek mathematics, Mathematics ... in medieval Islam, List of geometry topics
  7. Almagest: Latin, Arabic language, English language, Mathematics, Astronomy, Star, Planet, Greek language, Ptolemy, Geocentric model, Islamic Golden Age, ... Middle Ages, Renaissance, Greek astronomy
  8. Science and Mathematics in Ancient Greek Culture by Lewis Wolpert, 2002-11-28
  9. Maths and the Greeks (Maths & History) by John Davies, 2002-06-28
  10. Apollonius: Conics Books V to VII : The Arabic Translation of the Lost Greek Original in the Version of the Banu Musa (Sources in the History of Mat)volume I (Books V to VII Vol 1)
  11. A Manual of Greek Mathematics by Thomas L. Heath, 1931
  12. Greek mathematics by Thomas Little Heath, 1963
  13. The Story of Maths: History of Mathematics, Open University, BBC Four, Clay Mathematics Institute, Egyptian Mathematics, Mathematics in Medieval Islam, Greek Mathematics
  14. A Short History Of Greek Mathematics (1884) by James Gow, 2010-09-10

41. Basic Ideas In Greek Mathematics
previous index next PDF Basic Ideas in Greek Mathematics. Michael Fowler UVa Physics Department. Closing in on the Square Root of 2 . In our earlier discussion of the
http://galileo.phys.virginia.edu/classes/109N/lectures/greek_math.htm
previous index next PDF
Basic Ideas in Greek Mathematics
Michael Fowler UVa Physics Department
Closing in on the Square Root of 2
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. The question is: does this pattern continue? To find out, we use it to find the next pair. The right hand number should be 17 + 12 = 29, the left-hand 29 + 12 = 41. Now 41 = 1681, and 29 = 841, so 41 - 1. Repeating the process gives 41 + 29 = 70 and 70 + 29 = 99. It is easy to check that 99 + 1. So 99 . In other words, the difference between the square root of 2 and the rational number 99/70 is approximately of the magnitude 1/70 . (You can check this with your calculator).
Zeno of Elea (495-435 BC) is said to have been a self-taught country boy. He was a friend of a well-known philosopher, Parmenides, and visited

42. Greek Mathematics -- From Eric Weisstein's Encyclopedia Of Scientific Books
Eric Weisstein's Encyclopedia of Scientific Books Allman, G.J. Greek Geometry from Thales to Euclid. 1976. $?. BulmerThomas, Ivor.
http://www.ericweisstein.com/encyclopedias/books/GreekMathematics.html
Greek Mathematics
Allman, G.J. Greek Geometry from Thales to Euclid. Bulmer-Thomas, Ivor. Selections Illustrating the History of Greek Mathematics, Vol. 1: From Thales to Euclid. Cambridge, MA: Harvard University Press, 1980. $21.25. Bulmer-Thomas, Ivor. Selections Illustrating the History of Greek Mathematics, Vol. 2. Cambridge, MA: Harvard University Press, 1939-41. Gricke, N. Mathematik in Antike und Orient. Berlin: Springer-Verlag, 1984. 292 p. ISBN: 0387110478. $?. Gow, James. A Short History of Greek Mathematics. London: Cambridge University Press, 1884. $?. Heath, Thomas Little. A History of Greek Mathematics, Vol. 1: From Thales to Euclid. New York: Dover, 1981. $11.65. Heath, Thomas Little. A History of Greek Mathematics, Vol. 2: From Aristarchus to Diophantus. New York: Dover, 1981. $11.65. Heath, Thomas Little. A Manual of Greek Mathematics. Oxford, England: Clarendon Press, 1931. 552 p. Netz, Reviel. The Shaping of Deduction in Greek Mathematics. Cambridge, England: Cambridge University Press, 1999. 327 p. $?. Thomas, Ivor.

43. Greek Sources I
There are two separate articles in this archive How do we know about Greek mathematics? and How do we know about Greek mathematicians?. There is a common belief that the
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Greek_sources_1.html
How do we know about Greek mathematics?
Ancient Greek index History Topics Index
Version for printing
There are two separate articles in this archive: "How do we know about Greek mathematics?" and How do we know about Greek mathematicians? . There is a common belief that the question posed in this article, about Greek mathematics rather than Greek mathematicians, is easy to answer. Perhaps all we need to do to answer it is to read the mathematical treatises which the Greek mathematicians wrote. We might think, very naively, that although some of the origainal texts have been lost there should be plenty left for us to be able to gain an excellent picture of Greek mathematics. The truth, however, is not nearly so simple and we will illustrate the way that Greek mathematical texts have come down to us by looking first at perhaps the most famous example, namely Euclid 's Elements . When we read Heath's The Thirteen Books of Euclid's Elements are we reading an English translation of the words which Euclid wrote in 300 BC? In order to answer this question we need to examine the way the Elements has reached us, and, more generally, how the writings of the ancient Greek mathematicians have been preserved.

44. Greek Mathematics
Periodization . Classical Greek mathematics refers to the mathematics studied before the Hellenistic period, when Greek mathematics was limited to Greece.
http://www.mathos.hr/~ajovicic/Greek mathematics.ppt
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45. Greek Mathematics Information, Greek Mathematics Reference Articles - FindTarget
Information and research on Greek mathematics on FindTarget Reference online encyclopedia. Find articles and information resources on Greek mathematics.
http://reference.findtarget.com/search/Greek mathematics/
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46. Aristotle And Mathematics > Aristotle And Greek Mathematics (Stanford Encycloped
Aristotle and Greek Mathematics. This supplement provides some general indications of Aristotle's awareness and participation in mathematical activities of his time.
http://plato.stanford.edu/entries/aristotle-mathematics/supplement4.html
Cite this entry Search the SEP Advanced Search Tools ... Stanford University
Supplement to Aristotle and Mathematics
Aristotle and Greek Mathematics
This supplement provides some general indications of Aristotle's awareness and participation in mathematical activities of his time.
Greek mathematics in Aristotle's Works
Here are twenty-five of his favorite propositions (the list is not exhaustive). Where a proposition occurs in Euclid's Elements , the number is given, * indicates that we can reconstruct from what Aristotle says a proof different from that found in Euclid). Where the attribution is in doubt, I cite the scholar who endorses it. In many cases, the theorem is inferred from the context.
  • In a given circle equal chords form equal angles with the circumference of the circle ( Prior Analytics i.24; not at all Euclidean in conception) The angles at the base of an isosceles triangle are equal ( Prior Analytics i.24; Eucl. i.5*). The angles about a point are two right angles ( Metaphysics ix 9; Eucl. follows from i def. 10). If two straight-lines are parallel and a straight-line intersects them, the interior angle is equal to the exterior angle (

    • 47. The Stoa Consortium » Blog Archive » Greek Mathematics
    Anne Mahoney has an interesting new review up of Reviel Netz, The Transformation of Mathematics in the Early Mediterranean World From Problems to Equations (CUP 2004).
    http://www.stoa.org/archives/39
    The Stoa Consortium
    Serving news, projects, and links for digital classicists everywhere. infernal machines History of Ideas
    Greek mathematics
    October 31st, 2004 by Ross Scaife Anne Mahoney has an interesting new review up of Reviel Netz, The Transformation of Mathematics in the Early Mediterranean World: From Problems to Equations (CUP 2004). This entry was posted on Sunday, October 31st, 2004 at 16:33 and is filed under General . You can follow any responses to this entry through the RSS 2.0 feed. Responses are currently closed, but you can trackback from your own site. Comments are closed.

    48. Greek Mathematics | Bukisa Topics
    Greek Mathematics Greek mathematics, as that term is used in this article, is the mathematics written in Greek, developed from the 6th century BC to the 5th c
    http://www.bukisa.com/topics/greek-mathematics
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      Greek Mathematics
      Greek mathematics, as that term is used in this article, is the mathematics written in Greek, developed from the 6th century BC to the 5th century AD around the Eastern shores of the Mediterranean. The word "mathematics" itself derives from the ancient Greek μάθημα (mathema), meaning "subject of instruction".. The study of mathematics for its own sake and the use of generalized mathematical theories and proofs is the key difference between Greek mathematics and those of preceding civilizations. (Wikipedia)
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    49. ¥±. The Greek Mathematics : Demonstrative Geometry
    Characteristic 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
    http://library.thinkquest.org/22584/emh1200.htm
    ¥±. 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.
    Thales, Pythagoras and Plato in Greek studied in Egypt and joined with Egypt culture Greek produced achivements at mathematics formed a term of now civilization accepting the Egypt culture.
    That is "Elements" of Euclid, "The Theory of conic sections " of Apollonius, "Arithmetica" of Diophantus and many reserch achivements of Archimedes. Many scholar represented as Aristotle. Plato focused only philosophy and mathematics.
    The story, Plato wrote "NO one knows Geometry, No admission" at the enterance to a hall, is famous.
    Euclid is known affected by Aristotle and plato. His "Elements" is the first arranged and systematized book logically and had been used as a textbook toward the end of the 1800's in Europe.

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