|
Diophantus 1 Jpg
Diophantus of Alexandria ( grc, Διόφαντος ὁ Ἀλεξανδρεύς; born probably sometime between AD 200 and 214; died around the age of 84, probably sometime between AD 284 and 298) was an Alexandrian mathematician, who was the author of a series of books called '' Arithmetica'', many of which are now lost. His texts deal with solving algebraic equations. Diophantine equations ("Diophantine geometry") and Diophantine approximations are important areas of mathematical research. Diophantus coined the term παρισότης (parisotes) to refer to an approximate equality. This term was rendered as ''adaequalitas'' in Latin, and became the technique of adequality developed by Pierre de Fermat to find maxima for functions and tangent lines to curves. Diophantus was the first Greek mathematician who recognized fractions as numbers; thus he allowed positive rational numbers for the coefficients and solutions. In modern use, Diophantine equations are usually algebraic equ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexandrian Age
In Classical antiquity, the Hellenistic period covers the time in Mediterranean history after Classical Greece, between the death of Alexander the Great in 323 BC and the emergence of the Roman Empire, as signified by the Battle of Actium in 31 BC and the conquest of Ptolemaic Egypt the following year. The Ancient Greek word ''Hellas'' (, ''Hellás'') was gradually recognized as the name for Greece, from which the word ''Hellenistic'' was derived. "Hellenistic" is distinguished from "Hellenic" in that the latter refers to Greece itself, while the former encompasses all ancient territories under Greek influence, in particular the East after the conquests of Alexander the Great. After the Macedonian invasion of the Achaemenid Empire in 330 BC and its disintegration shortly after, the Hellenistic kingdoms were established throughout south-west Asia ( Seleucid Empire, Kingdom of Pergamon), north-east Africa ( Ptolemaic Kingdom) and South Asia ( Greco-Bactrian Kingdom, Indo-Greek ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dark Ages (historiography)
The ''Dark Ages'' is a term for the Early Middle Ages, or occasionally the entire Middle Ages, in Western Europe after the fall of the Western Roman Empire that characterises it as marked by economic, intellectual and cultural decline. The concept of a "Dark Age" originated in the 1330s with the Italian scholar Petrarch, who regarded the post-Roman centuries as "dark" compared to the "light" of classical antiquity.. Reprinted from: The term employs traditional black-and-white dualism, light-versus-darkness imagery to contrast the era's "darkness" (ignorance and error) with earlier and later periods of "light" (knowledge and understanding). The phrase ''Dark Age'' itself derives from the Latin ''saeculum obscurum'', originally applied by Caesar Baronius in 1602 when he referred to a tumultuous period in the 10th and 11th centuries. The concept thus came to characterize the entire Middle Ages as a time of intellectual darkness in Europe between the fall of Rome and the Renaissance ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hermann Hankel
Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician. Having worked on mathematical analysis during his career, he is best known for introducing the Hankel transform and the Hankel matrix. Biography Hankel was born on 14 February 1839 in Halle, Germany. His father, Wilhelm Gottlieb Hankel, was a physicist. Hankel studied at Nicolai Gymnasium in Leipzig before entering Leipzig University in 1857, where he studied with Moritz Drobisch, August Ferdinand Möbius and his father. In 1860, he started studying at University of Göttingen, where he acquired an interest in function theory under the tutelage of Bernhard Riemann. Following the publication of an award winning article, he proceeded to study under Karl Weierstrass and Leopold Kronecker in Berlin. He received his doctorate in 1862 at Leipzig University. Receiving his teaching qualifications a year after, he was promoted to an associate professor at Leipzig University in 1867. At the same year, he rece ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equation
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in French an ''équation'' is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. ''Solving'' an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation. There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables. An equation is written as two expressions, connected by a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Professor Layton And Pandora's Box
''Professor Layton and the Diabolical Box'', known in Australia and Europe as ''Professor Layton and Pandora's Box'', is the second game in the ''Professor Layton'' series by Level-5. It was followed by a third game, ''Professor Layton and the Unwound Future''. The game follows Professor Layton and his self-proclaimed apprentice Luke as they travel cross-country by train to solve the mystery behind a mysterious box that is said to kill anyone who opens it. An enhanced mobile port of ''Diabolical Box'', subtitled "HD for Mobile", was released on December 5, 2018. Gameplay ''Professor Layton and the Diabolical Box'' is an adventure/puzzle game. The player controls the movements of the eponymous Professor Layton and his young assistant Luke through several locations, unlike in the previous game which is confined to just one town. Along with completing many different types of puzzles, players must explore different areas, solve mysteries, and aid the Professor on his quest. The puz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metrodorus (grammarian)
Metrodorus ( grc-gre, Μητρόδωρος; fl. c. 6th century) was a Greek grammarian and mathematician, who collected mathematical epigrams which appear in the ''Greek Anthology''. Nothing is known about the life of Metrodorus. The time he lived is not certain: he may have lived as early as the 3rd century AD, but it is more likely that he lived in the time of the emperors Anastasius I and Justin I, in the early 6th century.Henrietta Midonick, (1965), ''The Treasury of Mathematics, Volume 2'', pages 51–2. Penguin Books. His name occurs in connection with 45 mathematical epigrams which are to be found in book 14 of the ''Greek Anthology''. Although he may have authored some of the epigrams, it is generally accepted that he collected most of them, and some of them may predate the 5th century BC. Many of the epigrams lead to simple equations, and they are of the same type as those found in the Rhind Mathematical Papyrus (17th century BC). Sir Thomas Little Heath, (1921)''A histor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greek Language
Greek ( el, label=Modern Greek, Ελληνικά, Elliniká, ; grc, Ἑλληνική, Hellēnikḗ) is an independent branch of the Indo-European family of languages, native to Greece, Cyprus, southern Italy (Calabria and Salento), southern Albania, and other regions of the Balkans, the Black Sea coast, Asia Minor, and the Eastern Mediterranean. It has the longest documented history of any Indo-European language, spanning at least 3,400 years of written records. Its writing system is the Greek alphabet, which has been used for approximately 2,800 years; previously, Greek was recorded in writing systems such as Linear B and the Cypriot syllabary. The alphabet arose from the Phoenician script and was in turn the basis of the Latin, Cyrillic, Armenian, Coptic, Gothic, and many other writing systems. The Greek language holds a very important place in the history of the Western world. Beginning with the epics of Homer, ancient Greek literature includes many works of lasting impo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diophantus The Arab
Diophantus the Arab ( grc, ∆ιόφαντος ὁ Ἀράβιος) was an Arab teacher and sophist at Athens during the 4th century AD. His most famous student was Libanius (336–340). He was active during the reign of Julian the Apostate (361–363).John R. Martindale, A. H. M. Jones and John Morris (eds.), ''The Prosopography of the Later Roman Empire: Volume I, AD 260–395'' (Cambridge University Press, 1971), pp. 260–261.Ad Meskens, ''Travelling Mathematics: The Fate of Diophantos' Arithmetic'' (Springer, 2010), p. 48 n28.Samuel N. C. Lieu, "Scholars and Students in the Roman East", in R. MacLeod (ed.), ''The Library of Alexandria: Centre of Learning in the Ancient World'' (I. B. Tauris, 2004), pp. 129–130. Diophantus' place of birth within Arabia is unknown. It may have been Petra, also the birthplace of the 5th-century iatrosophist Gessius of Petra and a place associated with Diophantus' contemporary and fellow sophist, Epiphanius of Syria. He is not listed among the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Babylonia
Babylonia (; Akkadian: , ''māt Akkadī'') was an ancient Akkadian-speaking state and cultural area based in the city of Babylon in central-southern Mesopotamia (present-day Iraq and parts of Syria). It emerged as an Amorite-ruled state c. 1894 BCE. During the reign of Hammurabi and afterwards, Babylonia was called "the country of Akkad" (''Māt Akkadī'' in Akkadian), a deliberate archaism in reference to the previous glory of the Akkadian Empire. It was often involved in rivalry with the older state of Assyria to the north and Elam to the east in Ancient Iran. Babylonia briefly became the major power in the region after Hammurabi ( fl. c. 1792–1752 BCE middle chronology, or c. 1696–1654 BCE, short chronology) created a short-lived empire, succeeding the earlier Akkadian Empire, Third Dynasty of Ur, and Old Assyrian Empire. The Babylonian Empire rapidly fell apart after the death of Hammurabi and reverted to a small kingdom. Like Assyria, the Babylonian state retained ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hypatia
Hypatia, Koine pronunciation (born 350–370; died 415 AD) was a neoplatonist philosopher, astronomer, and mathematician, who lived in Alexandria, Egypt, then part of the Eastern Roman Empire. She was a prominent thinker in Alexandria where she taught philosophy and astronomy. Although preceded by Pandrosion, another Alexandrine female mathematician, she is the first female mathematician whose life is reasonably well recorded. Hypatia was renowned in her own lifetime as a great teacher and a wise counselor. She wrote a commentary on Diophantus's thirteen-volume '' Arithmetica'', which may survive in part, having been interpolated into Diophantus's original text, and another commentary on Apollonius of Perga's treatise on conic sections, which has not survived. Many modern scholars also believe that Hypatia may have edited the surviving text of Ptolemy's ''Almagest'', based on the title of her father Theon's commentary on Book III of the ''Almagest''. Hypatia constructed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus Of Alexandria
Pappus of Alexandria (; grc-gre, Πάππος ὁ Ἀλεξανδρεύς; AD) was one of the last great Greek mathematicians of antiquity known for his ''Synagoge'' (Συναγωγή) or ''Collection'' (), and for Pappus's hexagon theorem in projective geometry. Nothing is known of his life, other than what can be found in his own writings: that he had a son named Hermodorus, and was a teacher in Alexandria.Pierre Dedron, J. Itard (1959) ''Mathematics And Mathematicians'', Vol. 1, p. 149 (trans. Judith V. Field) (Transworld Student Library, 1974) ''Collection'', his best-known work, is a compendium of mathematics in eight volumes, the bulk of which survives. It covers a wide range of topics, including geometry, recreational mathematics, doubling the cube, polygons and polyhedra. Context Pappus was active in the 4th century AD. In a period of general stagnation in mathematical studies, he stands out as a remarkable exception. "How far he was above his contemporaries, how lit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
