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         Greek Mathematicians:     more books (29)
  1. Archimedes: Ancient Greek Mathematician (Great Names) by Susan Keating, 2002-10
  2. The Mathematicians by Arthur Feldman, 2010-09-16
  3. Euclid: The Great Geometer (The Library of Greek Philosophers) by Chris Hayhurst, 2006-02-03
  4. Ancient Greek Scientists: Ancient Greek Astronomers, Ancient Greek Engineers, Ancient Greek Grammarians, Ancient Greek Mathematicians
  5. Greek Mathematics: Archimedes Palimpsest, Greek Numerals, Timetable of Greek Mathematicians, Attic Numerals, Euclid's Orchard
  6. Euclidca. 295 b.c. Greek mathematician and philosopher: An entry from Charles Scribner's Sons' <i>Renaissance: An Encyclopedia for Students</i>
  7. Ancient Greek Mathematicians: Aristotle, Archimedes, Euclid, Pythagoras, Hipparchus, Democritus, Ptolemy, Thales, Eratosthenes
  8. Greek Mathematicians: Constantin Carathéodory, Nicholas Metropolis, Leonidas Alaoglu, Themistocles M. Rassias, Francesco Maurolico
  9. The Mathematicians by Arthur Feldman, 2010-10-03
  10. Eratosthenes: Greek language, Mathematician, Poetry, Sportsperson, Geographer, Astronomer, Latitude, Longitude, History of geodesy, Astronomical unit, February 29, Early world maps
  11. Ten British Mathematicians of the 19th Century by ALEXANDER MACFARLANE, 2009-04-22
  12. The Arabic Corpus of Greek Astronomers and mathematicians (Biblioteca di "quadrivium".Serie scientifica) by Francis J Carmody, 1958
  13. Pythagoras: Pioneering Mathematician And Musical Theorist of Ancient Greece (The Library of Greek Philosophers) by Dimitra Karamanides, 2006-02-03
  14. Diocles: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001

81. History Of Mathematics
greek Mathematical Thought and the Origin of Algebra, greek Mathematical Thoughtand the Origin of Algebra by Jacob Klein Important study focuses on revival
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The Thirteen Books of Euclid's Elements, Vol. 2
by Euclid
Volume 2 of three-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classica...

82. Mathematician - Definition Of Mathematician By The Free Online Dictionary, Thesa
Archimedes greek mathematician and physicist noted for his work in Diophantus - greek mathematician who was the first to try to develop an algebraic
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Cite / link Email Feedback math·e·ma·ti·cian (m th -m -t sh n) n. A person skilled or learned in mathematics. Thesaurus Legend: Synonyms Related Words Antonyms Noun mathematician - a person skilled in mathematics math mathematics maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement algebraist - a mathematician whose specialty is algebra arithmetician - someone who specializes in arithmetic geometer geometrician - a mathematician specializing in geometry number theorist - a mathematician specializing in number theory probability theorist - a mathematician who specializes in probability theory man of science scientist - a person with advanced knowledge of one of more sciences mathematical statistician statistician - a mathematician who specializes in statistics trigonometrician - a mathematician specializing in trigonometry Abel Niels Abel Niels Henrik Abel - Norwegian mathematician (1802-1829) Al-Hasan ibn al-Haytham al-Haytham Alhazen Ibn al-Haytham - an Egyptian polymath (born in Iraq) whose research in geometry and optics was influential into the 17th century; established experiments as the norm of proof in physics (died in 1040)

83. Biographies
greek philosopher and mathematician who founded the mystic Pythagorean cult. greek mathematician who flourished in Sicily. He is generally considered to
http://www-2.cs.cmu.edu/~15251/Biographies/
@import "../Web/simple.css";
Biographies
Short biographies of famous mathematicians and computer scientists relevant to the class, along with links to more information about them. Picture courtesy Eric's Treasure Troves
Thales (634 BC - 546 BC)
Greek philosopher who is considered the founder of Greek science, mathematics, and philosophy. He visited Egypt and probably Babylon, bringing back knowledge of astronomy and geometry. He invented deductive mathematics. To him is attributed Thales' theorem Proclus attributed the following additional mathematical theorems to Thales (Boyer 1968, pp. 50-51): (1) a circle is bisected by a diameter (2) the base angles of an isosceles triangle are equal, (3) pairs of vertical angles formed by two intersecting lines are equal, and (4) the ASA theorem for triangles
More at Eric's Treasure Troves MacTutor
Picture courtesy Eric's Treasure Troves
Pythagoras (560 BC - 480 BC)
Greek philosopher and mathematician who founded the mystic Pythagorean cult. The cult he founded was devoted to the study of numbers, which the Pythagoreans saw as concrete, material objects. They studied

84. ARCHIMEDES GREEK PHILOSOPHER AND INVENTOR - SOLAR NAVIGATOR WORLD ELECTRIC NAVIG
He was the first, and possibly the only, greek mathematician to introduce mechanicalcurves (those traced by a moving point) as legitimate objects of study.
http://www.solarnavigator.net/inventors/archimedes.htm
ARCHIMEDES 287 BC- 211 BC HOME SITE INDEX CATAMARAN HULL SOLAR PANELS ... GOODIES Archimedes was the eminent mathematician and excellent physicist of his time. He was born in Syracuse, on the island of Sicily in 287 B.C. At that time Sicily was a Greek land. Archimedes was the son of an astronomer. He studied at Alexandria in Egypt, and then returned to Syracuse. He early became an astronomer. He constructed a brass planisphere - a projection of the celestial sphere - that showed the revolution of the Sun, the Moon and the five known planets, and showed the nature of eclipses. Archimedes stone bust
His planisphere was taken to Rome and was described by Cicero, 150 years later. Archimedes is generally regarded as the greatest mathematician and scientist of antiquity and one of the three greatest mathematicians of all time. Discoveries and inventions Archimedes became a popular figure as a result of his involvement in the defense of Syracuse against the Roman siege in the First and

85. Greek Mathematician - Books, Journals, Articles @ The Questia Online Library
In the second century BC the greek mathematician Hipparchus invented the HERO , greek mathematician greek mathematician see Heron of Alexandria .
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86. Greek Mathematics
Thales was the first recorded mathematician to correctly predict an eclipse. was another successful greek mathematician and astronomer.
http://atschool.eduweb.co.uk/sirrobhitch.suffolk/Portland State University Greek
GREEK MATHEMATICIANS
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.

87. Calculus For Classicists INTRODUCTION Mathematics Has Been Around
the classicist an introduction to greek mathematical texts, specifically Euclid.Euclid was a greek mathematician who worked around 300 BCE Very little
http://personal.monm.edu/mkatsene/HSP_Paper.html
Calculus for Classicists INTRODUCTION Mathematics has been around ever since man first learned to count on his fingers. The Egyptian and Babylonian civilizations each had their own developments in numbering systems and calculation techniques. It was the Greeks, though, who made the change that has shaped the mathematical world ever since. They developed the discipline of rigorous proof. For 2500 years, that has been the guiding principle in the world of mathematics. Greek mathematical texts contain the first examples of logical proof. These are the first mathematical writings that have completely retained their value to the present day. Not too many undergraduate classics students are afforded the chance to read classical texts from a specialized field. Each discipline has its own private vocabulary and conventions. These conventio ns are especially important in math because they have not changed drastically since they were established. This paper is intended to give the classicist an introduction to Greek mathematical texts, specifically Euclid. Euclid was a Greek mathematician who worked around 300 B.C.E. Very little is actually known about his life, though there are countless legends surrounding him. Arab commentators started the tradition that his birthplace was Tyre in Damascus, but this is dubious because it is usually accompanied by outrageous statements which further easternize his work. It is most likely that Euclid received his education in Athens at the hands of Plato's pupils. His magnum opus is

88. Medieval Mathematics Two Figures From The Later Middle Ages
Translations of ancient greek mathematical texts enjoyed a certain popularity, Furthermore, greek mathematician Diophantos also used the formulas
http://www.math.rutgers.edu/courses/436/Honors02/medieval.html
Medieval Mathematics:
Two Figures from the Later Middle Ages
Teresa Kuo
Demonstratio de algorismo , which details the Arabic number system and its use of integers. Other treatises include the Demonstratio de minutiis, which covered fractions, and the Liber phylotegni de triangulis, wh ich highlighted geometric proofs [4, p. I182]. His work De numeris datis
Let the given number be abc and let it be divided into two parts ab and c, and let d be the given product of the parts ab and c. Let the square of ab be e and let four times d be f, and let g be the result of taking f from e. Then g is the square of the difference between ab and c. Let h be the square root of g. Then h is the difference between ab and c. Since h is known, c and ab are determined [1, p. 284]. Nemorarius, unlike Euclid however, did not state that the variables were to be regarded as being line segments, but this was inferred. A different medieval mathematician credited with using Hindu-Arabic numerals was Leonardo de Pisa, a contemporary of Ne morarius. Leonardo de Pisa, (ca. 1180-1250), was born in Pisa (now part of Italy) and was the son of Guglielmo Bonaccio (from "Fibonacci", or "son of Bonaccio", is derived). This, and most information concerning the life of Fibonacci comes from an autobiographical passage in the beginning of the one of his works, the Liber Abbaci (a2 + b2)(c2+d2) = (ac + bd)2 + (bc - ad)2 = (ad + bc)2 + (ac - bd)2

89. MSN Encarta - Geometry
greek mathematician Apollonius of Perga studied the family of curves known asconic sections and discovered many of their fundamental properties about 300
http://encarta.msn.com/encyclopedia_761569706_6/Geometry.html
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Encyclopedia Article Multimedia 6 items Article Outline Introduction Methodology Euclidean Geometry Analytic Geometry ... History of Geometry VIII
History of Geometry
Print Preview of Section The derivation of the term geometry —from the Greek words ge´ , “earth,” and metrein , “to measure”—is an accurate description of the works of the earliest geometers, who were concerned with problems such as measuring the size of fields and laying out accurate right angles for the corners of buildings. In ancient Egypt, for instance, where the Nile River periodically overflowed its banks, geometry was used to reestablish boundary lines on the plots of land affected by the flooding. This type of empirical (based on experience) geometry, which flourished in ancient Egypt, Sumer, and Babylonia, was refined and systematized by the Greeks. A
Geometry in Ancient Greece
The first important geometer mentioned in history is Thales of Miletus, a Greek who lived about 600

90. Saudi Aramco World : SCIENCE: THE ISLAMIC LEGACY
Many other greek mathematical works found their way into Arabic through theefforts of the scholars at the House of Wisdom and their successors.
http://www.saudiaramcoworld.com/issue/198203/science-the.islamic.legacy.htm
May/June 1982 Volume 33, Number 3 May/June 1982
Volume 33, Number 3 SCIENCE THE ISLAMIC LEGACY Written by Paul Lunde
Illustrated by Michael Grimsdale
Additional illustrations courtesy of Ambrosiana Library The Arabs were the inheritors of the scientific tradition of late antiquity. They preserved it, elaborated it, and, finally, passed it on to Europe. The story of how this came about is far from simple, and much research needs to be done before its details are completely understood, but the broad outlines are clear. When Egypt, Palestine, Syria, Iraq, Asia Minor and Persia fell to Islamic forces in the seventh century they included a heterogeneous population. Although the cultivated classes of the former provinces of the Byzantine Empire spoke Greek, the people spoke a number of other languages -Coptic in Egypt and various Aramaic dialects in Syria and Iraq. These populations were for the most part Christian. In Persia, the majority language was Pahlavi an earlier form of the language spoken there today - and the state religion was Zoroastrianism, with substantial Christian minorities and a few centers of Buddhism. Throughout this immense area, there were two main scientific traditions. The first, and by far the most important, was that of Greece. The second was that of India, strongest in Persia because of the geographical proximity of the two countries.

91. Mathematician Thales Engineering Web Results
About 600 BC greek philosopher and mathematician Thales von Milet discovers While vacationing in Egypt, the greek Mathematician Thales calculated the
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92. NOVA | Infinite Secrets | Working With Infinity | PBS
In the greek context, especially in the greek mathematical context, Netz andJapanese colleague Ken Saito found that the greek mathematician had
http://www.pbs.org/wgbh/nova/archimedes/infinity.html
Working with Infinity:
A Mathematical Perspective
Infinite Secrets homepage
For mathematicians, infinity means something completely different than for philosophers. It's not something vague and unapproachable, but rather something with a precise definition that lies at the core of modern mathematics. To explain how this eminently practical form of infinity evolved over time, and to translate for the layman how mathematicians think of it, we approached Stanford University classics historian Reviel Netz. A scholar who discovered that, contrary to belief, the ancient Greeks, through the work of Archimedes, had actually toyed with infinitely large sets, Netz knows a thing or two about mathematical infinity. For a philosophical take on the subject, see Contemplating Infinity
Defining infinity NOVA: How do mathematicians define infinity? Netz: Something which is equal to some of its parts. That's really the technical definition. NOVA: Netz: That's the curious thing. Infinity became a really clear and well-defined quantity mathematically in the late 19th century, which it wasn't before and which makes it rather different from what we ordinarily talk about when we talk about infinity, namely, about something very, very big. In mathematics nowadays, when we think about infinity, we think about a set whose properties are different from those of ordinary sets. NOVA: Can you explain?

93. Mathematician@Everything2.com
Ancient greek mathematician and inventor, whose most famous act was to run Ancient greek mathematician who discovered most of the rules of geometry.
http://www.everything2.com/index.pl?node=mathematician

94. SHAPING OF DEDUCTION IN GREEK (Adobe Reader) Netz, Reviel Diesel EBooks
The aim of this book is to explain the shape of greek mathematical thinking.It can be read on three levels as a description of the practices of greek
http://www.diesel-ebooks.com/cgi-bin/item/0511035292

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The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

95. Euclidean Algorithm --  Encyclopædia Britannica
Euclidean algorithm procedure for finding the greatest common divisor (GCD) oftwo numbers, described by the greek mathematician Euclid in his work ty
http://www.britannica.com/eb/article?tocId=9384391

96. Circles (from Euclidean Geometry) --  Encyclopædia Britannica
The greek mathematician Archimedes (c. 285–212/211 BC;) used the method ofexhaustion to obtain upper and lower bounds for p by circumscribing and
http://www.britannica.com/eb/article?tocId=235567

97. MathFiction
the famous greek mathematician is your typical math nerd, recently (2000)translated from greek, follows the attempts of fictional mathematician
http://math.cofc.edu/faculty/kasman/MATHFICT/search.php?orderby=title&go=yes&mot

98. Constantin Carathéodory
He held seminars within greek mathematical circles. He spoke there about mathematicalinstruction in the higher classes, conducted reviews on greek
http://www.sim.informatik.tu-darmstadt.de/~hardt/Caratheodory/
Life and Work by Roland Bulirsch and Michael Hardt
September 1-4, 2000

th century and probably the one Greek mathematician who has had the greatest influence worldwide.
Figure 1: Berlin, Sunday Dear colleague! I find your derivation wonderful, now I understand everything. At first, the small writing mistakes on the second page had caused me some difficulties. Now, however, I understand everything. You should publish the theory in this new form in the Annals of Physics since the physicists do not normally know anything about this subject as was also the case with me. With my letter I must have come across to you like a Berliner who had just discovered Grunewald and wondered whether people were already living there. If you wouldn't mind also making the effort to present to me the canonical transfromations, you'll find in me a grateful and attentive audience. If you, however, answer the question about the closed time trajectories, I will appear before you with my hands folded. The underlying truth, though, is well worth some perspiration. Best regards, your Albert Einstein.

99. The Golden Mean
Although the greek mathematical intellectuals had a tendency to mask their The problem in this case is bringing together the greek mathematical
http://www.middlebury.edu/~harris/Humanities/TheGoldenMean.html
THE GOLDEN MEAN
WITH
A New Solution for the Parthenon's GM
The Golden Mean is a ratio which has fascinated generation after generation, and culture after culture. It can be expressed succinctly in the ratio of the number "1" to the irrational "l.618034... ", but it has meant so many things to so many people, that a basic investigation of what might is the "Golden Mean Phenomenon" seems in order. So much has been written over the centuries on the Mean, both fanciful imaginings and recondite mathematicizations, that a review of the literature on the subject would be oversize, and probably lose the focus of the problem. This purpose of this paper is to state in the simplest form problems which relate to the Golden Mean, and pursue a variety of directions which aim to explain the origin of this remarkable ratio and its ultimate meaning in the world of mind and matter. The French architect LeCorbusier noted that the human body when measured from foot to navel and then again from navel to top of head, showed average numbers very near to the Golden Ratio. He extended this to height compared with arm-span, and designed doorways consonant with these numbers. But of course much of this was based in averages rather than exact numbers, and so falls into the general area of esthetic design, rather than mathematical proportion. However studies have shown that the patterns of tree- branching adhere to the GM proportion, although again not exactly, while the dendritic cracking in certain metallic alloys which occurs as very low temperatures is basically GM based. In an entirely different area, Duckworth at Princeton found in the early l940's a GM relationship in the length of paragraphs in Vergil's Aeneid, with the figures becoming ever more accurate as larger samples were taken. Lendvai has demonstrated that Bartok used the GM ratio extensively in composing music, the question remaining whether an artist as an educated person uses the GM ratio consciously as a framework for his work, or unconsciously because of its ubiquitous appearance in the world around us, something we sense by living in a GM proportioned world.

100. The Shaping Of Deduction In Greek Mathematics - Reviel Netz - Adobe Reader EBook
The Shaping of Deduction in greek Mathematics Reviel Netz - Adobe Reader The aim of this book is to explain the shape of greek mathematical thinking.
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Get eBook! Free eBooks With Every Order! eBook Summary: The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice. Ordering Instructions Download Adobe Reader and install it on your computer.

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