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Abraham Bar Hiyya
Abraham bar Ḥiyya ha-Nasi (; – 1136 or 1145), also known as Abraham Savasorda, Abraham Albargeloni, and Abraham Judaeus, was a Catalan Jewish mathematician, astronomer and philosopher who resided in Barcelona, then in the County of Barcelona. Bar Ḥiyya was active in translating the works of Islamic science into Latin and was likely the earliest to introduce algebra from the Muslim world into Christian Europe. He also wrote several original works on mathematics, astronomy, Jewish philosophy, chronology, and surveying. His most influential work is his ''Ḥibbur ha-Meshiḥah ve-ha-Tishboret'', translated in 1145 into Latin as ''Liber embadorum''. A Hebrew treatise on practical geometry and algebra, the book contains the first known complete solution of the quadratic equation x^2 - ax + b = c, and influenced the work of Fibonacci. Biography Abraham bar Ḥiyya was the great-grandson of Hezekiah ben David, the last Gaon of the Talmudic academies in Babylonia. Bar Ḥiy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barcelona
Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within city limits,Barcelona: Población por municipios y sexo – Instituto Nacional de Estadística. (National Statistics Institute) its urban area extends to numerous neighbouring municipalities within the province of Barcelona and is home to around 5.3 million people, making it the fifth most populous ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics In The Medieval Islamic World
Mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, was built upon syntheses of Greek mathematics (Euclid, Archimedes, Apollonius) and Indian mathematics (Aryabhata, Brahmagupta). Important developments of the period include extension of the place-value system to include decimal fractions, the systematised study of algebra and advances in geometry and trigonometry. The medieval Islamic world underwent significant developments in mathematics. Muhammad ibn Musa al-Khwārizmī played a key role in this transformation, introducing algebra as a distinct field in the 9th century. Al-Khwārizmī's approach, departing from earlier arithmetical traditions, laid the groundwork for the arithmetization of algebra, influencing mathematical thought for an extended period. Successors like Al-Karaji expanded on his work, contributing to advancements in various mathematical domains. The practicality and broad applicability of these mathematical metho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shurta
''Shurṭa'' () is the common Arabic term for police. Its literal meaning is that of a "picked" or elite force. The ''shurṭa'' or police force were established in the early days of the Caliphate, perhaps as early as the caliphate of Uthman (644–656). In the Umayyad and the Abbasid Caliphates, the ''shurṭa'' had considerable power, and its head, the ''ṣāḥib al-shurṭa'' (), was an important official, whether at the provincial level or in the central government. The duties of the ''shurṭa'' varied with time and place: it was primarily a police or the secret police and internal security force and also had judicial functions, but it could also be entrusted with suppressing brigandage, enforcing the '' ḥisbah'', customs and tax duties, rubbish collection, acting as a bodyguard for governors, etc. In the Abbasid East, the chief of police also supervised the prison system. ''Shurṭa'' is one of the secret police agencies and officials of the Abbasid caliphs which was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Talmudic Academies In Babylonia
The Talmudic academies in Babylonia, also known as the Geonic academies, were the center for Jewish scholarship and the development of Halakha during the Geonic era (from c. 589 to 1038 CE; Hebrew dates: 4349 AM to 4798 AM) in what is called "Babylonia" in Jewish sources. This term is neither geopolitically, nor geographically identical with the ancient empires of Babylonia, since the Jewish focus of interest has to do with the Jewish religious academies, which were mainly situated in an area between the rivers Tigris and Euphrates and primarily between Pumbedita (modern Fallujah, a town west of Baghdad), and Sura, a town farther south down the Euphrates. At the time this area was part of the region known as Asōristān (under the Sasanian Empire) or Iraq (under the Muslim caliphate until the 11th century). The key work of these academies was the compilation of the Babylonian Talmud, started by Rav Ashi and Ravina, two leaders of the Babylonian Jewish community, around t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gaon (Hebrew)
Gaon (, ''gā'ōn'', , plural geonim, , ''gĕ'ōnīm'') was originally a formal title for the Geonim, heads of Talmudic academies in the 6th–11th century. Since the rishonic period, many great rabbis, whether or not they head academies, are often lauded with this honorific as a mark of respect; for example, one may refer to Ovadia Yosef as "HaGaon Ovadia Yosef". Modern Hebrew reuses the word as an equivalent for "genius" based on phonetic similarity. Etymology It may have originated as a shortened version of "Rosh Yeshivat Ge'on Ya'akov", although there are alternative explanations. In Ancient Hebrew, it referred to arrogance and haughty pride ( – "I abhor the pride of Jacob and detest his fortresses; I will deliver up the city and everything in it.") and, according to another explanation, it later became known as a general term for pride, and the title was used as "Pride f. Examples One of the Geonim during the period 589–1040. Prominent Geonim include: * Yehudai Ga ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hezekiah Ben David
Hezekiah Gaon or Hezekiah ben David () was the last Gaon of the Talmudic academy in Pumbedita from 1038 to 1040. Hezekiah ben David was a member of the House of Exilarchs; his father David was the son of Zakkai. Some scholars believe Hezekiah was great-grandson of David ben Zakai (not the grandson of David). Hezekiah was elected to the office of principal after the death of Hai Gaon at the age of 99, but was denounced to a fanatical government of the Buyid dynasty, who then imprisoned and tortured him to death. However, the ''Jewish Quarterly Review'' mentioned that Hezekiah was liberated from prison, and became head of the academy, and is mentioned as such by a contemporary in 1046. With him ended his family except two sons who escaped to the Iberian Peninsula, where they found a home with Joseph ibn Naghrela, son of Samuel ibn Naghrillah. The death of Hezekiah ended the line of the Geonim, which had begun four centuries earlier (see Hanan of Iskiya), and with it, Pumbedita Ac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fibonacci
Leonardo Bonacci ( – ), commonly known as Fibonacci, was an Italians, Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages". The name he is commonly called, ''Fibonacci'', is first found in a modern source in a 1838 text by the Franco-Italian mathematician Guglielmo Libri Carucci dalla Sommaja, Guglielmo Libri and is short for ('son of Bonacci'). However, even as early as 1506, Perizolo, a notary of the Holy Roman Empire, mentions him as "Lionardo Fibonacci". Fibonacci popularized the Hindu–Arabic numeral system, Indo–Arabic numeral system in the Western world primarily through his composition in 1202 of (''Book of Calculation'') and also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in . Biography Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official who directed a trading post in Béjaïa, Bugia, modern-day Béjaïa, Algeria ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quadratic Equation
In mathematics, a quadratic equation () is an equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where the variable (mathematics), variable represents an unknown number, and , , and represent known numbers, where . (If and then the equation is linear equation, linear, not quadratic.) The numbers , , and are the ''coefficients'' of the equation and may be distinguished by respectively calling them, the ''quadratic coefficient'', the ''linear coefficient'' and the ''constant coefficient'' or ''free term''. The values of that satisfy the equation are called ''solution (mathematics), solutions'' of the equation, and ''zero of a function, roots'' or ''zero of a function, zeros'' of the quadratic function on its left-hand side. A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two comple ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Applied Mathematics
Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the profession, professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of Mathematical analysis, applied analysis, most notably differential equations; approximation theory (broadly construed, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Surveying
Surveying or land surveying is the technique, profession, art, and science of determining the land, terrestrial Plane (mathematics), two-dimensional or Three-dimensional space#In Euclidean geometry, three-dimensional positions of Point (geometry), points and the Euclidean distance, distances and angles between them. These points are usually on the surface of the Earth, and they are often used to establish maps and boundaries for ownership, locations, such as the designated positions of structural components for construction or the surface location of subsurface features, or other purposes required by government or civil law, such as property sales. A professional in land surveying is called a land surveyor. Surveyors work with elements of geodesy, geometry, trigonometry, regression analysis, physics, engineering, metrology, programming languages, and the law. They use equipment, such as total stations, robotic total stations, theodolites, Satellite navigation, GNSS receivers, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jewish Philosophy
Jewish philosophy () includes all philosophy carried out by Jews or in relation to the religion of Judaism. Until the modern ''Haskalah'' (Jewish Enlightenment) and Jewish emancipation, Jewish philosophy was preoccupied with attempts to reconcile coherent new ideas into the tradition of Rabbinic Judaism, thus organizing emergent ideas that are not necessarily Jewish into a uniquely Jewish scholastic framework and worldview. With their admission into broader modern society, Jews with secular educations embraced or developed entirely new philosophies to meet the world's demands in which they now found themselves. Medieval rediscovery of ancient Greek philosophy among the ''Geonim'' of 10th-century Babylonian academies brought Rationalism, rationalist philosophy into Tanakh, Biblical-Talmudic Judaism. During the ''Geonic'' period, philosophy was generally in competition with Kabbalah. Both schools would become part of classic Rabbinic literature, though the decline of scholastic r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomy
Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest include planets, natural satellite, moons, stars, nebulae, galaxy, galaxies, meteoroids, asteroids, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation. More generally, astronomy studies everything that originates beyond atmosphere of Earth, Earth's atmosphere. Cosmology is a branch of astronomy that studies the universe as a whole. Astronomy is one of the oldest natural sciences. The early civilizations in recorded history made methodical observations of the night sky. These include the Egyptian astronomy, Egyptians, Babylonian astronomy, Babylonians, Greek astronomy, Greeks, Indian astronomy, Indians, Chinese astronomy, Chinese, Maya civilization, M ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
