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Martin Ohm
Martin Ohm (May 6, 1792 in Erlangen – April 1, 1872 in Berlin) was a German mathematician and a younger brother of physicist Georg Ohm. Biography He earned his doctorate in 1811 at Friedrich-Alexander-University, Erlangen-Nuremberg where his advisor was Karl Christian von Langsdorf. In 1817, he was appointed professor of mathematics and physics in the gymnasium at Thorn. In 1821 he moved to Berlin, and in 1839 became a full professor in the University of Berlin. He delivered courses of lectures at the academy of architecture from 1824 to 1831, and at the schools of artillery and engineering from 1833 to 1852; and he also taught in the military school from 1826 to 1849. Work Ohm was the first to fully develop the theory of the exponential ''a''''b'' when both ''a'' and ''b'' are complex numbers in 1823. The 1835 second edition of Ohm's textbook, ''Die reine Elementar Mathematik'' was the first time that Euclid's 'extreme and mean ratio' was given the name of the " golden sect ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin Ohm2
Martin may refer to: Places * Martin City (other) * Martin County (other) * Martin Township (other) Antarctica * Martin Peninsula, Marie Byrd Land * Port Martin, Adelie Land * Point Martin, South Orkney Islands Australia * Martin, Western Australia * Martin Place, Sydney Caribbean * Martin, Saint-Jean-du-Sud, Haiti, a village in the Sud Department of Haiti Europe * Martin, Croatia, a village in Slavonia, Croatia * Martin, Slovakia, a city * Martín del Río, Aragón, Spain * Martin (Val Poschiavo), Switzerland England * Martin, Hampshire * Martin, Kent * Martin, East Lindsey, Lincolnshire, hamlet and former parish in East Lindsey district * Martin, North Kesteven, village and parish in Lincolnshire in North Kesteven district * Martin Hussingtree, Worcestershire * Martin Mere, a lake in Lancashire ** WWT Martin Mere, a wetland nature reserve that includes the lake and surrounding areas * Martin Mill, Kent North America Canada * Rural Municipality of M ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adolf Zeising
Adolf Zeising (24 September 181027 April 1876) was a German psychologist, whose main interests were mathematics and philosophy. Among his theories, Zeising claimed to have found the golden ratio expressed in the arrangement of branches along the stems of plants and of veins in leaves. He extended his research to the skeletons of animals and the branchings of their veins and nerves, to the proportions of chemical compounds and the geometry of crystals, even to the use of proportion in artistic endeavors. In these phenomena he saw the golden ratio operating as a universal law, Many of his studies were followed by Gustav Fechner and Le Corbusier, who elaborated his studies of human proportion to develop the Modulor The Modulor is an anthropometric scale of proportions devised by the Swiss-born French architect Le Corbusier (1887–1965). It was developed as a visual bridge between two incompatible scales, the Imperial and the metric systems. It is based ..... Hermann Lotz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1872 Deaths
Year 187 ( CLXXXVII) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Quintius and Aelianus (or, less frequently, year 940 ''Ab urbe condita''). The denomination 187 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Septimius Severus marries Julia Domna (age 17), a Syrian princess, at Lugdunum (modern-day Lyon). She is the youngest daughter of high-priest Julius Bassianus – a descendant of the Royal House of Emesa. Her elder sister is Julia Maesa. * Clodius Albinus defeats the Chatti, a highly organized German tribe that controlled the area that includes the Black Forest. By topic Religion * Olympianus succeeds Pertinax as bishop of Byzantium (until 198). Births * Cao Pi, Chinese emperor of the Cao Wei state (d. 226) * G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1792 Births
Year 179 ( CLXXIX) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Aurelius and Veru (or, less frequently, year 932 ''Ab urbe condita''). The denomination 179 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman empire * The Roman fort Castra Regina ("fortress by the Regen river") is built at Regensburg, on the right bank of the Danube in Germany. * Roman legionaries of Legio II ''Adiutrix'' engrave on the rock of the Trenčín Castle (Slovakia) the name of the town ''Laugaritio'', marking the northernmost point of Roman presence in that part of Europe. * Marcus Aurelius drives the Marcomanni over the Danube and reinforces the border. To repopulate and rebuild a devastated Pannonia, Rome allows the first German colonists to enter territory co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century German Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Friedrich Prym
Friedrich Emil Fritz Prym (28 September 1841, Düren – 15 December 1915, Bonn) was a German mathematician who introduced Prym varieties and Prym differentials. Prym completed his Ph.D. at the University of Berlin in 1863 with a thesis written under the direction of Ernst Kummer and Martin Ohm. In 1867 he started a Professor at the University of Würzburg, where he later became Dean, and then Rector Rector (Latin for the member of a vessel's crew who steers) may refer to: Style or title *Rector (ecclesiastical), a cleric who functions as an administrative leader in some Christian denominations *Rector (academia), a senior official in an edu ... in 1897–98. References * External links * *Picture of Prym [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leo Pochhammer
Leo August Pochhammer (25 August 1841, Stendal – 24 March 1920, Kiel) was a Prussian mathematician who was educated in Berlin, obtaining his Ph.D. in 1863 under Ernst Kummer. He became a lecturer in 1874, then professor of mathematics at the Christian-Albrechts-Universität of Kiel (1877–1919), where he was appointed Rektor (commissioner of education) in 1893. He is known for his work on special functions and introduced the Pochhammer symbol, now generally used for expressing hypergeometric functions in a compact notation. See also *Pochhammer symbol *Generalized Pochhammer symbol * ''q''-Pochhammer symbol *Pochhammer contour *Falling and rising factorials In mathematics, the falling factorial (sometimes called the descending factorial, falling sequential product, or lower factorial) is defined as the polynomial :\begin (x)_n = x^\underline &= \overbrace^ \\ &= \prod_^n(x-k+1) = \prod_^(x-k) \,. \e ... External links * Eric W. Weisstein's world of science 1841 birt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rudolf Lipschitz
Rudolf Otto Sigismund Lipschitz (14 May 1832 – 7 October 1903) was a German mathematician who made contributions to mathematical analysis (where he gave his name to the Lipschitz continuity condition) and differential geometry, as well as number theory, algebras with involution and classical mechanics. Biography Rudolf Lipschitz was born on 14 May 1832 in Königsberg. He was the son of a landowner and was raised at his father's estate at Bönkein which was near Königsberg. He entered the University of Königsberg when he was 15, but later moved to the University of Berlin where he studied with Gustav Dirichlet. Despite having his studies delayed by illness, in 1853 Lipschitz graduated with a PhD in Berlin. After receiving his PhD, Lipschitz started teaching at local Gymnasiums. In 1857 he married Ida Pascha, the daughter of one of the landowners with an estate near to his father's. In 1857 he earned his habilitation at the University of Bonn and remained there as a privatdoze ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eduard Heine
Heinrich Eduard Heine (16 March 1821 – 21 October 1881) was a German mathematician. Heine became known for results on special functions and in real analysis. In particular, he authored an important treatise on spherical harmonics and Legendre functions (''Handbuch der Kugelfunctionen''). He also investigated basic hypergeometric series. He introduced the Mehler–Heine formula. Biography Heinrich Eduard Heine was born on 16 March 1821 in Berlin, as the eighth child of banker Karl Heine and his wife Henriette Märtens. Eduard was initially home schooled, then studied at the Friedrichswerdersche Gymnasium and Köllnische Gymnasium in Berlin. In 1838, after graduating from gymnasium, he enrolled at the University of Berlin, but transferred to the University of Göttingen to attend the mathematics lectures of Carl Friedrich Gauss and Moritz Stern. In 1840 Heine returned to Berlin, where he studied mathematics under Peter Gustav Lejeune Dirichlet, while also attending classes o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Bachmann
Paul Gustav Heinrich Bachmann (22 June 1837 – 31 March 1920) was a German mathematician. Life Bachmann studied mathematics at the university of his native city of Berlin and received his doctorate in 1862 for his thesis on group theory. He then went to Breslau to study for his habilitation, which he received in 1864 for his thesis on Complex Units. Bachmann was a professor at Breslau and later at Münster. Works *''Zahlentheorie'', Bachmann's work on number theory in five volumes (1872-1923): **Vol. I: Die Elemente der Zahlentheorie' (1892) **Vol. II: Analytische Zahlentheorie' (1894), a work on analytic number theory in which Big O notation was first introduced **Vol. III: Die Lehre von der Kreistheilung und ihre Beziehungen zur Zahlentheorie' (first published in 1872) **Vol. IV (Part 1): Die Arithmetik der quadratischen Formen' (1898) **Vol. IV (Part 2): Die Arithmetik der quadratischen Formen' (posthumously published in 1923) **Vol. V: Allgemeine Arithmetik der Zahlenk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elwin Bruno Christoffel
Elwin Bruno Christoffel (; 10 November 1829 – 15 March 1900) was a German mathematician and physicist. He introduced fundamental concepts of differential geometry, opening the way for the development of tensor calculus, which would later provide the mathematical basis for general relativity. Life Christoffel was born on 10 November 1829 in Montjoie (now Monschau) in Prussia in a family of cloth merchants. He was initially educated at home in languages and mathematics, then attended the Jesuit Gymnasium and the Friedrich-Wilhelms Gymnasium in Cologne. In 1850 he went to the University of Berlin, where he studied mathematics with Gustav Dirichlet (which had a strong influence over him) among others, as well as attending courses in physics and chemistry. He received his doctorate in Berlin in 1856 for a thesis on the motion of electricity in homogeneous bodies written under the supervision of Martin Ohm, Ernst Kummer and Heinrich Gustav Magnus. After receiving his doctorate, Ch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Golden Section
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( or \phi) denotes the golden ratio. The constant \varphi satisfies the quadratic equation \varphi^2 = \varphi + 1 and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names. Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of \varphi—may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural objects ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
