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Gerard Of Brussels
Gerard of Brussels (french: Gérard de Bruxelles, la, Gerardus Bruxellensis) was an early thirteenth-century geometer and philosopher known primarily for his Latin book ''Liber de motu'' (''On Motion''), which was a pioneering study in kinematics, probably written between 1187 and 1260. It has been described as "the first Latin treatise that was to take the fundamental approach to kinematics that was to characterize modern kinematics." He brought the works of Euclid and Archimedes back into popularity and was a direct influence on the Oxford Calculators (four kinematicists of Merton College) in the next century. Gerard is cited by Thomas Bradwardine in his ''Tractatus de proportionibus velocitatum'' (1328). His chief contribution was in moving away from Greek mathematics and closer to the notion of "a ratio of two unlike quantities such as distance and time", which is how modern physics defines velocity.Joseph Mazur Joseph C. Mazur (born in the Bronx in 1942) is Professor Emerit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometer
A geometer is a mathematician whose area of study is geometry. Some notable geometers and their main fields of work, chronologically listed, are: 1000 BCE to 1 BCE * Baudhayana (fl. c. 800 BC) – Euclidean geometry, geometric algebra * Manava (c. 750 BC–690 BC) – Euclidean geometry * Thales of Miletus (c. 624 BC – c. 546 BC) – Euclidean geometry * Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem * Zeno of Elea (c. 490 BC – c. 430 BC) – Euclidean geometry * Hippocrates of Chios (born c. 470 – 410 BC) – first systematically organized '' Stoicheia – Elements'' (geometry textbook) * Mozi (c. 468 BC – c. 391 BC) * Plato (427–347 BC) * Theaetetus (c. 417 BC – 369 BC) * Autolycus of Pitane (360–c. 290 BC) – astronomy, spherical geometry * Euclid (fl. 300 BC) – '' Elements'', Euclidean geometry (sometimes called the "father of geometry") * Apollonius of Perga (c. 262 BC – c. 190 BC) – Euclidean geometry, conic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greek Mathematics
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly extant from the 7th century BC to the 4th century AD, around the shores of the Eastern Mediterranean. Greek mathematicians lived in cities spread over the entire Eastern Mediterranean from Italy to North Africa but were united by Greek culture and the Greek language. The word "mathematics" itself derives from the grc, , máthēma , meaning "subject of instruction". The study of mathematics for its own sake and the use of generalized mathematical theories and proofs is an important difference between Greek mathematics and those of preceding civilizations. Origins of Greek mathematics The origin of Greek mathematics is not well documented. The earliest advanced civilizations in Greece and in Europe were the Minoan and later Mycenaean civilizations, both of which flourished during the 2nd millennium BCE. While these civilizations possessed writing and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
13th-century Latin Writers
The 13th century was the century which lasted from January 1, 1201 ( MCCI) through December 31, 1300 ( MCCC) in accordance with the Julian calendar. The Mongol Empire was founded by Genghis Khan, which stretched from Eastern Asia to Eastern Europe. The conquests of Hulagu Khan and other Mongol invasions changed the course of the Muslim world, most notably the Siege of Baghdad (1258), the destruction of the House of Wisdom and the weakening of the Mamluks and Rums which, according to historians, caused the decline of the Islamic Golden Age. Other Muslim powers such as the Mali Empire and Delhi Sultanate conquered large parts of West Africa and the Indian subcontinent, while Buddhism witnessed a decline through the conquest led by Bakhtiyar Khilji. The Southern Song dynasty would begin the century as a prosperous kingdom but would eventually be invaded and annexed into the Yuan dynasty of the Mongols. The Kamakura Shogunate of Japan would be invaded by the Mongols. Goryeo resis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
13th-century Mathematicians
The 13th century was the century which lasted from January 1, 1201 (Roman numerals, MCCI) through December 31, 1300 (Roman numerals, MCCC) in accordance with the Julian calendar. The Mongol Empire was founded by Genghis Khan, which stretched from Eastern Asia to Eastern Europe. The conquests of Hulagu Khan and other Mongol invasions changed the course of the Muslim world, most notably the Siege of Baghdad (1258), the destruction of the House of Wisdom and the weakening of the Mamluk Sultanate (Cairo), Mamluks and Sultanate of Rum, Rums which, according to historians, caused the decline of the Islamic Golden Age. Other Muslim powers such as the Mali Empire and Delhi Sultanate conquered large parts of West Africa and the Indian subcontinent, while Buddhism witnessed a decline through the conquest led by Bakhtiyar Khilji. The Southern Song dynasty would begin the century as a prosperous kingdom but would eventually be invaded and annexed into the Yuan dynasty of the Mongols. The Ka ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometers
A geometer is a mathematician whose area of study is geometry. Some notable geometers and their main fields of work, chronologically listed, are: 1000 BCE to 1 BCE * Baudhayana (fl. c. 800 BC) – Euclidean geometry, geometric algebra * Manava (c. 750 BC–690 BC) – Euclidean geometry * Thales, Thales of Miletus (c. 624 BC – c. 546 BC) – Euclidean geometry * Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem * Zeno of Elea (c. 490 BC – c. 430 BC) – Euclidean geometry * Hippocrates of Chios (born c. 470 – 410 BC) – first systematically organized ''Euclid's Elements, Stoicheia – Elements'' (geometry textbook) * Mozi (c. 468 BC – c. 391 BC) * Plato (427–347 BC) * Theaetetus (mathematician), Theaetetus (c. 417 BC – 369 BC) * Autolycus of Pitane (360–c. 290 BC) – astronomy, spherical geometry * Euclid (fl. 300 BC) – ''Euclid's Elements, Elements'', Euclidean geometry (sometimes called the "father of geometry") * Apolloni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
13th-century Philosophers
The 13th century was the century which lasted from January 1, 1201 (Roman numerals, MCCI) through December 31, 1300 (Roman numerals, MCCC) in accordance with the Julian calendar. The Mongol Empire was founded by Genghis Khan, which stretched from Eastern Asia to Eastern Europe. The conquests of Hulagu Khan and other Mongol invasions changed the course of the Muslim world, most notably the Siege of Baghdad (1258), the destruction of the House of Wisdom and the weakening of the Mamluk Sultanate (Cairo), Mamluks and Sultanate of Rum, Rums which, according to historians, caused the decline of the Islamic Golden Age. Other Muslim powers such as the Mali Empire and Delhi Sultanate conquered large parts of West Africa and the Indian subcontinent, while Buddhism witnessed a decline through the conquest led by Bakhtiyar Khilji. The Southern Song dynasty would begin the century as a prosperous kingdom but would eventually be invaded and annexed into the Yuan dynasty of the Mongols. The Ka ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph Mazur
Joseph C. Mazur (born in the Bronx in 1942) is Professor Emeritus of Mathematics at Marlboro College, in Marlboro, Vermont. He holds a B.S. from Pratt Institute, where he first studied architecture. He spent his junior year in Paris, studying mathematics in classes with Claude Chevalley and Roger Godement and returned to Pratt to earn a B.S. in mathematics. From there he went directly to M.I.T to receive his Ph.D. in mathematics ( algebraic geometry) in 1972. He has held a visiting scholar position at M.I.T and several visiting professor positions at The Mathematics Institute of the University of Warwick. In 2006 he was awarded a Guggenheim Fellowship for work on mathematical narrative. In 2008 he was awarded a Bellagio Fellowship from the Rockefeller Foundation, and in 2009 was elected to Fellow of the Vermont Academy of Arts and Sciences. In 2011, 2013, and 2019 he was awarded Bogliasco Fellowships. Since 1972 he has taught all areas of mathematics, its history and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Velocity
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time (e.g. northbound). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies. Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called , being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s−1). For example, "5 metres per second" is a scalar, whereas "5 metres per second east" is a vector. If there is a change in speed, direction or both, then the object is said to be undergoing an ''acceleration''. Constant velocity vs acceleration To have a ''constant velocity'', an object must have a constant speed in a constant direction. Constant direction cons ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Bradwardine
Thomas Bradwardine (c. 1300 – 26 August 1349) was an English cleric, scholar, mathematician, physicist, courtier and, very briefly, Archbishop of Canterbury. As a celebrated scholastic philosopher and doctor of theology, he is often called ''Doctor Profundus'' (medieval epithet, meaning "the Profound Doctor"). He acquired several degrees from Oxford, it is presumed he acquired them: B.A. by August 1321, an M.A. by 1323, a B.Th by 1333, and a D.Th by 1348. Life Bradwardine was born in Sussex either at Hartfield or at Chichester, where his family was settled, members of the smaller gentry or burghers. Sources vary about Thomas Bradwardines early life before receiving his degree in 1321, his exact date of birth is unknown but sources point to a date between 1290 and 1300. His place of birth is also unknown but some sources point to it being near Chichester, Sussex, or Harfield. The first concrete sources of his do not appear until he receives his degree in 1321 from Balloil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Medieval Philosopher
Medieval philosophy is the philosophy that existed through the Middle Ages, the period roughly extending from the fall of the Western Roman Empire in the 5th century until after the Renaissance in the 13th and 14th centuries. Medieval philosophy, understood as a project of independent philosophical inquiry, began in Baghdad, in the middle of the 8th century, and in France, in the itinerant court of Charlemagne, in the last quarter of the 8th century. It is defined partly by the process of rediscovering the ancient culture developed in Greece and Rome during the Classical period, and partly by the need to address theological problems and to integrate sacred doctrine with secular learning. The history of medieval philosophy is traditionally divided into two main periods: the period in the Latin West following the Early Middle Ages until the 12th century, when the works of Aristotle and Plato were rediscovered, translated, and studied upon, and the "golden age" of the 12th, 13th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Merton College
Merton College (in full: The House or College of Scholars of Merton in the University of Oxford) is one of the constituent colleges of the University of Oxford in England. Its foundation can be traced back to the 1260s when Walter de Merton, chancellor to Henry III and later to Edward I, first drew up statutes for an independent academic community and established endowments to support it. An important feature of de Merton's foundation was that this "college" was to be self-governing and the endowments were directly vested in the Warden and Fellows. By 1274, when Walter retired from royal service and made his final revisions to the college statutes, the community was consolidated at its present site in the south east corner of the city of Oxford, and a rapid programme of building commenced. The hall and the chapel and the rest of the front quad were complete before the end of the 13th century. Mob Quad, one of Merton's quadrangles, was constructed between 1288 and 1378, and is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oxford Calculators
The Oxford Calculators were a group of 14th-century thinkers, almost all associated with Merton College, Oxford; for this reason they were dubbed "The Merton School". These men took a strikingly logical and mathematical approach to philosophical problems. The key "calculators", writing in the second quarter of the 14th century, were Thomas Bradwardine, William Heytesbury, Richard Swineshead and John Dumbleton. Using the slightly earlier works of Walter Burley, Gerard of Brussels, and Nicole Oresme, these individuals expanded upon the concepts of 'latitudes' and what real world applications they could apply them to. Science The advances these men made were initially purely mathematical but later became relevant to mechanics. Using Aristotelian logic and physics, they studied and attempted to quantify physical and observable characteristics such as: heat, force, color, density, and light. Aristotle believed that only length and motion were able to be quantified. But they used ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
