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Jean Bernoulli
Johann Bernoulli (also known as Jean in French or John in English; – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating Leonhard Euler in the pupil's youth. Biography Early life Johann was born in Basel, the son of Nicolaus Bernoulli, an apothecary, and his wife, Margarethe Schongauer, and began studying medicine at University of Basel. His father desired that he study business so that he might take over the family spice trade, but Johann Bernoulli did not like business and convinced his father to allow him to study medicine instead. Johann Bernoulli began studying mathematics on the side with his older brother Jacob Bernoulli. Throughout Johann Bernoulli's education at Basel University, the Bernoulli brothers worked together, spending much of their time studying the newly discovered infinitesimal calculus. They were among the first mat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johann Rudolf Huber
Johann Rudolf Huber (21 April 1668 – 28 February 1748) was a Switzerland, Swiss portrait artist. Among his famous subjects were Charles III William, Margrave of Baden-Durlach, Joseph I, Holy Roman Emperor and Albrecht von Haller . Biography Huber was born as the son of a landlord in Basel. There, in Bern, Venice and Rome he learned to paint. In 1699 he was appointed court painter at the court in Stuttgart. He did portraits of nearly 5,000 of his contemporaries. He died in Basel. Sources * ''Register der Contrafeit so ich nach dem Leben gemahldt habe'' (1683–1718), Kunstmuseum Winterthur, doi:10.7891/e-manuscripta-48580 Further reading * Maurice W. Brockwell, ''Catalogue of the pictures and other works of Art in the collection of Lord St. Oswald at Nostell Priory'', London: 1915. *Matthew Pilkington, Henry Fuseli, ''A Dictionary of Painters from the revival of art to the present period'', London: John Crowder 1805, p. 26online* Manuel Kehrli: ''Sein Geist ist zu al ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brachistochrone Problem
In physics and mathematics, a brachistochrone curve (), or curve of fastest descent, is the one lying on the plane between a point ''A'' and a lower point ''B'', where ''B'' is not directly below ''A'', on which a bead slides frictionlessly under the influence of a uniform gravitational field to a given end point in the shortest time. The problem was posed by Johann Bernoulli in 1696 and solved by Isaac Newton in 1697. The brachistochrone curve is the same shape as the tautochrone curve; both are cycloids. However, the portion of the cycloid used for each of the two varies. More specifically, the brachistochrone can use up to a complete rotation of the cycloid (at the limit when A and B are at the same level), but always starts at a Cusp (singularity), cusp. In contrast, the tautochrone problem can use only up to the first half rotation, and always ends at the horizontal.Stewart, James. "Section 10.1 - Curves Defined by Parametric Equations." ''Calculus: Early Transcendentals''. 7 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alderman
An alderman is a member of a Municipal government, municipal assembly or council in many jurisdictions founded upon English law with similar officials existing in the Netherlands (wethouder) and Belgium (schepen). The term may be titular, denoting a high-ranking member of a borough or county council, a council member chosen by the elected members themselves rather than by Direct election, popular vote, or a council member elected by voters. Etymology The title is derived from the Old English title of ''ealdorman'', which literally means "elder person", and which was used by the chief nobles presiding over shires. Similar titles exist in other Germanic languages, such as ' in Swedish language, Swedish, ' in Norwegian language, Norwegian, ' in Danish language, Danish and Low German, ' in West Frisian language, West Frisian, ' in Dutch language, Dutch, and ' in German language, German. Finnish language, Finnish also has ', which was borrowed from Swedish. All of these words mean "eld ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gottfried Leibniz
Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Isaac Newton, Sir Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic and statistics. Leibniz has been called the "last universal genius" due to his vast expertise across fields, which became a rarity after his lifetime with the coming of the Industrial Revolution and the spread of specialized labor. He is a prominent figure in both the history of philosophy and the history of mathematics. He wrote works on philosophy, theology, ethics, politics, law, history, philology, games, music, and other studies. Leibniz also made major contributions to physics and technology, and anticipated notions that surfaced much later in probability theory, biology, medicine, geology, psychology, linguistics and computer science. Leibniz contributed to the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculus
Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus. They make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. It is the "mathematical backbone" for dealing with problems where variables change with time or another reference variable. Infinitesimal calculus was formulated separately ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Basel University
The University of Basel (Latin: ''Universitas Basiliensis''; German: ''Universität Basel'') is a public research university in Basel, Switzerland. Founded on 4 April 1460, it is Switzerland's oldest university and among the world's oldest universities. The university is traditionally counted among the leading institutions of higher learning in the country. The associated Basel University Library is the largest and among the most important libraries in Switzerland. The university hosts the faculties of theology, law, medicine, humanities and social sciences, science, psychology, and business and economics, as well as numerous cross-disciplinary subjects and institutes, such as the Biozentrum for biomedical research and the Institute for European Global Studies. In 2020, the university had 13,139 students and 378 professors. International students accounted for 27 percent of the student body. In its over 500-year history, the university has been home to Erasmus of Rotterdam, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Apothecary
''Apothecary'' () is an Early Modern English, archaic English term for a medicine, medical professional who formulates and dispenses ''materia medica'' (medicine) to physicians, surgeons and patients. The modern terms ''pharmacist'' and, in British English, ''chemist'' have taken over this role. In some languages and regions, terms similar to "apothecary" have survived and denote modern pharmacies or pharmacists. Apothecaries' investigation of Herbal medicine, herbal and chemical ingredients was a precursor to the modern sciences of chemistry and pharmacology. In addition to dispensing herbs and medicine, apothecaries offered general medical advice and a range of services that are now performed by other specialist practitioners, such as surgeons and Obstetrics and gynaecology, obstetricians. Apothecary shops sold ingredients and the medicines they prepared wholesale to other medical practitioners, as well as dispensing them to patients. In 17th-century England, they also contro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernoulli Family
The Bernoulli family ( ; ; ) of Basel was a Patrician (post-Roman Europe), patrician family, notable for having produced eight mathematically gifted academics who, among them, contributed substantially to the development of mathematics and physics during the Early Modern Switzerland, early modern period. History Originally from Antwerp, a branch of the family relocated to Basel in 1620. While their origin in Antwerp is certain, proposed earlier connections with the Dutch family of Italian ancestry called ''Bornouilla'' (''Bernoullie''), or with the Castilian family ''de Bernuy'' (''Bernoille'', ''Bernouille''), are uncertain. The first known member of the family was Leon Bernoulli (d. 1561), a doctor in Antwerp, at that time part of the Spanish Netherlands. His son, Jacob, emigrated to Frankfurt am Main in 1570 to escape from the Inquisition in the Netherlands, Spanish persecution of the Protestants. Jacob's grandson, a spice trader, also named Jacob, moved to Basel, Switzerlan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swiss People
The Swiss people (, , , ) are the citizens of the multi-ethnic Swiss Confederation (Switzerland) regardless of ethno-cultural background or people of self-identified Swiss ancestry. The number of Swiss nationals has grown from 1.7 million in 1815 to 8.7 million in 2020. More than 1.5 million Swiss citizens hold multiple citizenship. About 11% of citizens live abroad (0.8 million, of whom 0.6 million hold multiple citizenship). About 60% of those living abroad reside in the European Union (0.46 million). The largest groups of Swiss descendants and nationals outside Europe are found in the United States, Brazil, and Canada. Although the modern state of Switzerland originated in 1848, the period of romantic nationalism, Switzerland is not a nation-state and the Swiss are not a single ethnic group. Rather, Switzerland is a confederacy (') or ' ("nation of will", "nation by choice", that is, a consociational state), a term coined in conscious contrast to "nation" in the conv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicolaus I Bernoulli
Nicolaus Bernoulli (also spelled Nicolas or Nikolas; in Basel – 29 November 1759 in Basel) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. Biography Nicolaus Bernoulli was born on in Basel. He was the son of Nicolaus Bernoulli, painter and Alderman of Basel. In 1704 he graduated from the University of Basel under Jakob Bernoulli and obtained his PhD five years later (in 1709) with a work on probability theory in law. His thesis was titled ''Dissertatio Inauguralis Mathematico-Juridica de Usu Artis Conjectandi in Jure''. In 1716 he obtained the Galileo-chair at the University of Padua, where he worked on differential equations and geometry. In 1722 he returned to Switzerland and obtained a chair in Logics at the University of Basel. Nicolaus I Bernoulli was deeply influenced by his family, particularly his uncle Jacob Bernoulli and his cousin Daniel Bernoulli, both of whom were prominent mathematicians. Jacob Bernoulli, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johann II Bernoulli
Johann II Bernoulli (also known as Jean; 18 May 1710, Basel – 17 July 1790, Basel) was the youngest of the three sons of the Swiss mathematician Johann Bernoulli. He studied law and mathematics, and, after travelling in France, was for five years professor of eloquence in the university of his native city. In 1736 he was awarded the prize of the French Academy for his suggestive studies of aether.A History of The Theories Of Aether & Electricity Sir Edmund Whittaker On the death of his father he succeeded him as professor of mathematics in the University of Basel. He was thrice a successful competitor for the prizes of the Academy of Sciences of Paris. His prize subjects were the capstan, the propagation of light, and the magnet. He enjoyed the friendship of P. L. M. de Maupertuis, who died under his roof while on his way to Berlin. He himself died in 1790. His two sons, Johann and Jakob, are the last noted mathematicians of the Bernoulli family. Biography Johann II Berno ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
