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Savasorda
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. Bar Ḥiyya was active in translating the works of Islamic science into Latin, and was likely the earliest to introduce Arabic algebra into Christian Europe. He also wrote several original works on mathematics, astronomy, Jewish philosophy, chronology, and land 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 Islamic algebra, the book contains the first known complete solution of the quadratic equation x^2 - ax + b = c, and influenced the work of Leonardo Fibonacci. Biography Abraham bar Ḥiyya was the great-grandson of the Hezekiah Gaon. Bar Ḥiyya occupied a high position in the royal court, serving as minister of police, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barcelona
Barcelona ( , , ) is a city on the coast of northeastern 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 and is home to around 4.8 million people, making it the [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosopher
A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek thinker Pythagoras (6th century BCE).. In the Classics, classical sense, a philosopher was someone who lived according to a certain way of life, focusing upon resolving Meaning of life, existential questions about the human condition; it was not necessary that they discoursed upon Theory, theories or commented upon authors. Those who most arduously committed themselves to this lifestyle would have been considered ''philosophers''. In a modern sense, a philosopher is an intellectual who contributes to one or more branches of philosophy, such as aesthetics, ethics, epistemology, philosophy of science, logic, metaphysics, social theory, philosophy of religion, and political philosophy. A philosopher may also be someone who has worked in the hum ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Banu Hud
The Banu Hud ( ar, بنو هود ', the Hudid dynasty) were an Arab dynasty that ruled the ' of Zaragoza from 1039 until 1110. In 1039, under the leadership of Al-Mustain I, Sulayman ibn Hud al-Judhami, the Bani Hud seized control of Zaragoza from a rival clan, the Banu Tujib. His heirs, particularly Ahmad I al-Muqtadir (1046–1081), Yusuf al-Mutamin (1081–1085), and Al-Mustain II, Ahmad ibn Yusuf (1085–1110), were patrons of culture and the arts. The Aljafería, the royal residence erected by Ahmad I, is practically the only palace from that period to have survived almost in its entirety. Despite their independence, the Banu Hud were forced to recognize the superiority of the kingdom of Castile and pay ' to it as early as 1055. In 1086, they led the smaller kingdoms in their resistance to the Almoravids, who did not succeed in conquering Zaragoza until May 1110. The conquest represented the end of the dynasty. The last of the Banu Hud, Imad al-Dawl Abd al-Malik (Abdelm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hezekiah Gaon
Hezekiah Gaon or Hezekiah ben David ( he, חזקיה בן דוד) was the last Gaon of the Talmudic academy in Pumbedita from 1038–40. 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 mentions 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 wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quadratic Equation
In algebra, a quadratic equation () is any equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where represents an unknown (mathematics), unknown value, 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'' 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 Expression (mathematics), expression 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 complex number, c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the 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 applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Land Surveying
Surveying or land surveying is the technique, profession, art, and science of determining the terrestrial two-dimensional or three-dimensional positions of points and the distances and angles between them. A land surveying professional is called a land surveyor. 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 designed 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. 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, GNSS receivers, retroreflectors, 3D scanners, LiDAR sensors, radios, inclinometer, handheld tablets, optical and digital levels, subsurface locators, d ... [...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 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 world-view. With their acceptance into modern society, Jews with secular educations embraced or developed entirely new philosophies to meet the demands of the world in which they now found themselves. Medieval re-discovery of ancient Greek philosophy among the Geonim of 10th century Babylonian academies brought rationalist philosophy into Biblical-Talmudic Judaism. The philosophy was generally in competition with Kabbalah. Both schools would become part of classic rabbinic literature, though the decline of scholastic rationalism coincided with historical events which drew ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomy
Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest include planets, natural satellite, moons, stars, nebulae, galaxy, galaxies, 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 Babylonian astronomy, Babylonians, Greek astronomy, Greeks, Indian astronomy, Indians, Egyptian astronomy, Egyptians, Chinese astronomy, Chinese, Maya civilization, Maya, and many anc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christendom
Christendom historically refers to the Christian states, Christian-majority countries and the countries in which Christianity dominates, prevails,SeMerriam-Webster.com : dictionary, "Christendom"/ref> or is culturally or historically intertwined with. Following the spread of Christianity from the Levant to Europe and North Africa during the early Roman Empire, Christendom has been divided in the pre-existing Greek East and Latin West. Consequently, internal sects within Christian religion arose with their own beliefs and practices, centred around the cities of Rome (Western Christianity, whose community was called Western or Latin Christendom) and Constantinople ( Eastern Christianity, whose community was called Eastern Christendom). From the 11th to 13th centuries, Latin Christendom rose to the central role of the Western world. The history of the Christian world spans about 1,700 years and includes a variety of socio-political developments, as well as advances in the arts, arc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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