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Topic: Hellenistic mathematics


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In the News (Sat 11 Oct 08)

  
 History of mathematics - Wikipedia, the free encyclopedia
Greek mathematics studied from the time of the Hellenistic period (from 323 BC) refers to all mathematics of those who wrote in the Greek language, since Greek mathematics was now not only written by Greeks but also non-Greek scholars throughout the Hellenistic world, which was spread across the Eastern end of the Mediterranean.
In the Vedic era, mathematics was not studied for the sole purpose of science, but there are still advanced mathematics papers scattered throughout a large body of Indian texts from this period (many are of uncertain date and authorship, however, and do not follow a serious mathematical tradition).
Even after European mathematics began to flourish during the Renaissance, European and Chinese mathematics were separate traditions, with significant Chinese mathematical output in decline, until the Jesuit missionaries in the 18th century carried mathematical ideas back and forth between the two cultures.
en.wikipedia.org /wiki/History_of_mathematics   (5387 words)

  
 History of mathematics - Wikipedia, the free encyclopedia
Greek mathematics studied from the time of the Hellenistic period (from 323 BC) refers to all mathematics of those who wrote in the Greek language, since Greek mathematics was now not only written by Greeks but also non-Greek scholars throughout the Hellenistic world, which was spread across the Eastern end of the Mediterranean.
In the Vedic era, mathematics was not studied for the sole purpose of science, but there are still advanced mathematics papers scattered throughout a large body of Indian texts from this period (many are of uncertain date and authorship, however, and do not follow a serious mathematical tradition).
The mathematics of computers, statistics, and game theory changed the kinds of questions that could be answered by mathematical methods.
en.wikipedia.org /wiki/History_of_mathematics   (5134 words)

  
 Alexander to Actium
With the help of over 200 illustrations, Green surveys every significant aspect of Hellenistic cultural development, from mathematics to medicine, from philosophy to religion, from literature to the visual arts.
The Hellenistic Age, the three extraordinary centuries from the death of Alexander in 323 B. to Octavian's final defeat of Antony and Cleopatra at the Battle of Actium, has offered a rich and variegated field of exploration for historians, philosophers, economists, and literary critics.
Green offers a particularly trenchant analysis of what has been seen as the conscious dissemination in the East of Hellenistic culture, and finds it largely a myth fueled by Victorian scholars seeking justification for a no longer morally respectable imperialism.
www.ucpress.edu /books/pages/4548.html   (5134 words)

  
 The Transformation of Mathematics in the Early Mediterranean World
With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers a radically new interpretation of the historical journey of pre-modern mathematics.
The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered.
From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages).
books.cambridge.org /0521829968.htm   (5134 words)

  
 Greek Mathematics and its Modern Heirs
Shown here are the inscriptions of an icosahedron (a solid composed of twenty equilateral triangular faces) in a cube, and of a cube in an octahedron (a solid of eight equilateral triangular faces).
The translations were made in 1269 at the papal court in Viterbo from two of the best Greek manuscripts of Archimedes, both of which have since disappeared.
Shown here is a part of Eutocius's commentary on Archimedes' "On the Sphere and the Cylinder" in which he reviews solutions to the classical problem of the duplication of the cube, i.e.
www.ibiblio.org /expo/vatican.exhibit/exhibit/d-mathematics/Greek_math.html   (5134 words)

  
 Hellenistic_Science
Science in the Classical age was as fixed as was the society, it was stratified - the top strata was pure, it was mathematics and geometry taken to its highest form, it was science taken to the realm of philosophy.
But in the Hellenistic age there were a number of locations, such as Alexandria and Persamum as centers, that were different from Athens and had different influences on the science that was practiced.
And thus so far the pattern that is developing is that though the foundation of thought in the Hellenistic world was fixed there was movement on the top layers, in politics and more importantly for this paper, in the sciences.
members.tripod.com /~Kekrops/Hellenistic_Files/Hellenistic_Science.html   (5134 words)

  
 Hellenistic Astrology [Internet Encyclopedia of Philosophy]
As Babylonian astronomical cycles met with a rational and ensouled Greek cosmos, the basis for both Stoic eternal recurrence and technical Hellenistic astrology was formed.
Heraclitus, whom the Stoics claimed as a precursor, possessed an earlier doctrine of conflagration, though it is not to be assumed that his generation and decay of the cosmos was measured by the planetary circuits, for its movement, to him, is a pathway up and down rather than circular (Diog.
By Necessity, the principle cohesive power of the cosmos, the same souls which existed in one cycle would then be reconstituted in the cosmos and would play the same part in the same way, with perhaps an insignificant variation or two.
www.iep.utm.edu /a/astr-hel.htm   (5134 words)

  
 HELLENISTIC AGE: PART II: LITERATURE, HISTORY, SCIENCE, MEDICINE, MATHEMATICS, GEOGRAPHY
His work in mathematics was admired by Archimedes, perhaps his greatest achievement lying in the application of geometry: he calculated the circumference of the earth with astonishing accuracy.
On the measurement of the Earth — treated mathematical geography, in which he was a pioneer, calculating with a high degree of accuracy the circumference of the Earth and, with much less accuracy, the magnitude and distance of the sun and moon.
His mathematical studies of astronomic relations led Hipparchus to formulate no doubt, by the cuneiform records which had brought from Babylonia, he determined with approximate accuracy the length of the solar, lunar, and sidereal years.
www.portergaud.edu /cmcarver/hels.html   (5134 words)

  
 WiseFarm: Hellenistic Age, Science and medicine
The three great areas of Hellenistic scholarship were medicine, astronomy, and mathematics.
This is a paragraph of text that could go in the sidebar.
wisefarm.blogspot.com /2004/02/hellenistic-age-science-and-medicine.html   (5134 words)

  
 Greek mathematics: Encyclopedia topic
The most characteristic product of Greek mathematics may be the theory of conic section (conic section: (geometry) a curve generated by the intersection of a plane and a circular cone) s, largely developed in the Hellenistic period (Hellenistic period: more facts about this subject).
Pythagoras (Pythagoras: Greek philosopher and mathematician who proved the Pythagorean theorem; considered to be the first true mathematician (circa 580-500 BC)) (Pythagorean theorem (Pythagorean theorem: in mathematics, the pythagorean theorem or pythagorass theorem, is a relation...
Ptolemy (Ptolemy: An ancient dynasty of Macedonian kings who ruled Egypt from 323 BC to 30 BC; founded by Ptolemy I and ended with Cleopatra) (Ptolemaios' theorem (Ptolemaios' theorem: in mathematics, ptolemaios theorem is a relation in euclidean geometry between the...
www.absoluteastronomy.com /reference/greek_mathematics   (1155 words)

  
 Amazon.com: Books: The Exact Sciences in Antiquity
One of the foremost workers in the area of premodern science presents the standard nontechnical coverage of Egyptian and Babylonian mathematics and astronomy and their transmission into the Hellenistic world—with the especially interesting, surprising sophistication of Babylonian mathematics.
Greek Science and Mathematics: A list by janimmo, Absolutely no qualifications.
Customers interested in The Exact Sciences in Antiquity may also be interested in
www.amazon.com /exec/obidos/tg/detail/-/0486223329?v=glance   (1155 words)

  
 integral transform --  Encyclopædia Britannica
The area of Aiani was an integral part of the Hellenistic society both culturally and religiously.
in mathematics, either a numerical value equal to the area under the graph of a function for some interval (definite integral) or a new function the derivative of which is the original function...
mathematical operator that produces a new function f ( y) by integrating the product of an existing function F ( x) and a so-called kernel function K ( x, y) between suitable limits.
www.britannica.com /eb/article?tocId=9042520   (1155 words)

  
 It's 6:19. Do You Know Where You Are?: mathematics Archives
Archimedes (278-212 BCE) was the greatest mathematician of the Hellenistic period.
Alexander the Great's conquest of Persia (334 BCE) led to the spread of hellenistic arts, letters, and sciences, and their fusion with Oriental administration and astronomy.
Democratic ideals flourished from 450-400 BCE, paving the path for the Golden Age of Greece.
arsenal.media.mit.edu /notebook/archives/cat_mathematics.html   (1155 words)

  
 Coliseum
The bronze sculptures were created in mimetic style much like the Hellenistic sculptures before them with one exception; even though Hellenistic figures were somewhat idealized, they usually did not exhibit the calm appearance that represented Humanism and Platonic Idealism of the classic Greek period.
Fundamental mathematics is one of the ways the classical Greek philosophy believed it could achieve perfection and the colonnade of the coliseum continues in that belief.
The Platonic belief of perfection from logic, math and geometry is shown in their use of these elements in their structures.
www.usi.edu /artdept/artinindiana/Architecture/Downtown/Coliseum/Colis.html   (1082 words)

  
 It's 6:19. Do You Know Where You Are?: mathematics Archives
Archimedes (278-212 BCE) was the greatest mathematician of the Hellenistic period.
Alexander the Great's conquest of Persia (334 BCE) led to the spread of hellenistic arts, letters, and sciences, and their fusion with Oriental administration and astronomy.
Democratic ideals flourished from 450-400 BCE, paving the path for the Golden Age of Greece.
arsenal.media.mit.edu /notebook/archives/cat_mathematics.html   (1082 words)

  
 IMEros - Issue 4 - Contents
The process of the Virtual Reality (VR) reconstruction of the Hellenistic Asclepieion of Messene is preceded by the definition of the potential user-groups of the virtual environment, a thorough analysis of user needs and the development of specific interaction scenarios for each group.
This work has been undertaken as part of front-end and formative evaluation studies carried out for the design of an exhibition on the history of Greek mathematics developed for the Foundation of the Hellenic World in Athens and presented at the cultural centre Hellenic Cosmos.
Athanasios Sideris, Maria Roussou, Athanasios Gaitatzis, The Virtual Reconstruction of the Hellenistic Asclepieion of Messene
www.fhw.gr /publications/print/imeros/en/04   (400 words)

  
 Acquisitions in Mathematics 2003, page 0 (001-509.9) - Mathematics - LEARN - The University of Auckland Library
Greek science of the Hellenistic era: a sourcebook / Georgia L. Irby-Massie and Paul T. Keyser.
Inside science education reform: a history of curricular and policy change / J. Myron Atkin, Paul Black.
The scientific revolution: the essential readings / edited by Marcus Hellyer.
www.library.auckland.ac.nz /subjects/math/older/2003p0.htm   (1783 words)

  
 bibliog.html
Coulton, J.J. "Modules and measurements in ancient design and modern scholarship," in Munus non Ingratum (Leiden 1989) 85-89 De Jong, J.J. "Greek mathematics, Hellenistic architecture and Vitruvius' 'De Architectura'," in Munus non Ingratum (Leiden 1989) 100-113 Dinsmoor, W.B., The Architecture of Ancient Greece.
Neilsen, I. Hellenistic palaces: tradition and renewal (Aarhus 1994) Robertson, D.S., A Handbook of Greek and Roman Architecture, 2nd ed.
Buitron-Oliver, D., The interpretation of architectural sculpture in Greece and Rome, Washington 1997; Burkert, W. "Concordia Discors: the literary and the archaeological evidence on the sanctuary of Samothrace," in N. Marinatos and R. Hägg (edd.) Greek sanctuaries: new approaches (London 1993) Camp, J. The Athenian Agora (London 1986) Camp, J. and W. Dinsmoor, Jr.
vandyck.anu.edu.au /teach/teach/greek/bibliog.html   (808 words)

  
 Conic Sections in Ancient Greece
Like Pappus, he had access to original documentation of the mathematics of the Classical and Hellenistic eras that is no longer available.
While Pappus of Alexandria was a competent mathematician and geometer, we are interested here in his work as a mathematical commentator and historian of mathematics.
Pappus says that Euclid wrote about the basic theory of conic sections, targeting his propositions to prepare readers to analyze the solid loci of Aristaeus (Heath, 1961, p.
www.math.rutgers.edu /~cherlin/History/Papers1999/schmarge.html   (5833 words)

  
 References for Ptolemy
V Valerio, Projective knowledge and linear perspective in the works of Ptolemy and in late Hellenistic culture (Italian), Nuncius Ann.
A I Sabra, Psychology versus mathematics : Ptolemy and Alhazen on the moon illusion, in Mathematics and its applications to science and natural philosophy in the Middle Ages (Cambridge-New York, 1987), 217-247.
J Samso and F Castello, An hypothesis on the epoch of Ptolemy's star catalogue according to the authors of the Alfonsine tables, J.
www-groups.dcs.st-and.ac.uk /~history/References/Ptolemy.html   (5833 words)

  
 Greek Philosophy
It includes the founding of his school, the Academy, and emphasizes Plato's belief that mathematics provides the finest training for the mind.
It describes the Greek's gradual movement from a system of gods to a system of mathematics and science.
It is a sit of value to the student who needs information about Hellenistic Philosophy.
www.providence.edu /dwc/grkphil.htm   (5833 words)

  
 SOOP Portal
Stoicism - Stoicism was one of the new philosophical movements of the Hellenistic period.
Benjamin Peirce - Life and work of 19th century mathematician and philosopher of mathematics; by Ivor Grattan-Guinness and Alison Walsh.
Constitutionalism - Philosophical survey of the idea that government should be limited in its powers by law; by Wil Waluchow.
www.soopportal.org /odpcat.asp?ID=Society/Philosophy/Reference/Stanford_Encyclopedia_of_Philosophy   (4966 words)

  
 Search Results for Fourier integral - Encyclopædia Britannica
The area of Aiani was an integral part of the Hellenistic society both culturally and religiously.
in mathematics, known function that appears in the integrand of an integral equation.
Calculus introduced mathematicians to many new functions by providing new ways to define them, such as with infinite series and with integrals.
www.britannica.com /search?query=Fourier+integral   (389 words)

  
 Foundations of Eurocentrism in Mathematics
Joseph claims that this Eurocentric approach served as a "comforting rationale for an imperialist/racist ideology of dominance" and has remained strong despite evidence that there was significant mathematical development in Mesopotamia, Egypt, China, pre-Columbian America, India and Arabia, and that Greek mathematics owed a significant debt to the mathematics of most of those cultures.
Joseph urges the "countering of Eurocentrism in the classroom." His concluding paragraph appears to be a strong statement of support for Ethnomathematics in the classroom and is reproduced below in its entirety:
Joseph refutes the suggestion that pre-Greek mathematics lacked the concept of proof and insists that criticism of Egyptian and Babylonian mathematics as "more a practical tool than an intellectual pursuit" is symptomatic of Western intellectual elitism and racism.
www.ethnomath.org /resources/ISGEm/034.htm   (402 words)

  
 Dead Germans Project: Ptolemy I
Under Ptolemy II a secondary library was also formed that housed 42,800 scrolls.After the deaths of Aristotle and Demosthenes, the emphasis on learning shifted from the Greek schools to Alexandria, which eventually attracted the talents of Euclid, the founder of mathematics and the astronomer Eratosthenes.
While other libraries had existed, notably those of Aristotle and Euripides, under Ptolemy I and his successors, the library became the envy of all of the Hellenistic world.
The Encylopedia of World Biography states that Ptolemy II Philadelphus was the builder of the library but does not say whether or not he founded it, himself.
aztec.lib.utk.edu /~kidder/library.html   (554 words)

  
 : ASP : EXPLORE : SCIENCE : SCIENCE CIVILISATION IN ISLAM - Islamherald.com
The dominant part of this heritage was definitely Graeco-Hellenistic, in translations either from Syriac or from the Greek itself, by such masters of translation as Hunain ibn Ishaq, and Thabit ibn Qurrah.
In zoology, anthropology, and certain aspects of alchemy, as well as, of course, in mathematics and astronomy, the tradition of Indian and Persian sciences was dominant, as can be seen in the Epistles (Rasail) of the Brethren of Purity (Ikhwan al-Safa') and the translations of Ibn Muqaffa'.
Ismaili doctrines are fundamentally esoteric, being based on numerical symbolism and the symbolic interpretation of the "cosmic text." The symbolic interpretation of the Quran, which is basic in Shia Islam as well as in Sufism, was made the basis for the symbolic study of Nature.
www.islamherald.com /asp/explore/science/science_civilisation_in_islam.asp   (6700 words)

  
 Ancient Greece
One of the ways Alexander the Great "taught" the world about Greek ideas in science, mathematics, poetry and philosophy was by the building of a new city--Alexandria, Egypt.
In a dictionary, find the following words: conquer, tribute, conquest, hellenistic, philosophy, astronomy, empire, league, lyric poetry, epic, geometry, democracy and column.
Alexander is pictured in artwork from the many areas of the world, usually riding his battle horse Bucephalus.
www.svms.santacruz.k12.ca.us /portal/AncientGreece.html   (6700 words)

  
 Nat' Academies Press, Biographical Memoirs V.75 (1998)
He had long been intrigued by the primitive astronomical section of the Book of Enoch, originally written in Aramaic and surviving complete only in Ethiopic (Ge‘ez), which appeared to contain simplified Babylonian elements, and he also noticed from the catalogue of Ethiopic manuscripts in Vienna, passages that suggested a relation with Hellenistic astronomy and calendars.
Chronology had in fact always been his third subject besides astronomy and mathematics; earlier he had collaborated with W. Kendrick Pritchett on The Calendars of Athens (1947) and analyzed the calendar of the Très riches heures for Millard Meiss (1974).
Ethiopic Astronomy and Computus (1979) is the summary of what he found, organized by subject in alphabetical order.
www.nap.edu /books/0309062950/html/231.html   (446 words)

  
 Directory - Science: Social Sciences: Archaeology: Periods and Cultures: Hellenistic
Greeks 'borrowed Egyptian Numbers  · iweb · cached · From BBC, The classical pioneers of mathematics, astronomy and physics borrowed their number system from Egypt, research suggests.
Greek Classical Archaeology  · cached · Dartmouth College classical archaeology course: City-States and Panhellenic Sanctuaries 480 - 323 B.C.E. Olbia Research Project  · cached · Excavation at Olbia, one of the most important and well preserved of the ancient Greek colonies on the Black Sea.
Greek Vistas  · Interactive student guide to ancient Greek sites using Quicktime movies and a travel log from the University of New Orleans.
www.incywincy.com /default?p=593751   (446 words)

  
 Ibrahim
determinations and the history of mathematical philosophy, it is obvious that the work of ibn Sinan is important in showing how the Arab mathematicians pursued the mathematics that they had inherited from the Hellenistic period and developed it with independent minds.
Ibrahim ibn Sinan was a grandson of Thabit ibn Qurra and studied geometry and in particular
His grandfather Thabit ibn Qurra had started to view integration in a different way to Archimedes but Ibrahim realised that al-Mahani had made improvements on what his father had achieved.
www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Ibrahim.html   (591 words)

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