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Ludwig Schläfli
Ludwig Schläfli (15 January 1814 – 20 March 1895) was a Swiss mathematician, specialising in geometry and complex analysis (at the time called function theory) who was one of the key figures in developing the notion of higher-dimensional spaces. The concept of multidimensionality is pervasive in mathematics, has come to play a pivotal role in physics, and is a common element in science fiction. Life and career Youth and education Ludwig spent most of his life in Switzerland. He was born in Grasswil (now part of Seeberg), his mother's hometown. The family then moved to the nearby Burgdorf, where his father worked as a tradesman. His father wanted Ludwig to follow in his footsteps, but Ludwig was not cut out for practical work. In contrast, because of his mathematical gifts, he was allowed to attend the Gymnasium in Bern in 1829. By that time he was already learning differential calculus from Abraham Gotthelf Kästner's ''Mathematische Anfangsgründe der Analysis des Unendli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seeberg
Seeberg is a municipality in the Oberaargau administrative district in the canton of Bern in Switzerland. The lake Burgäschisee is located on the border with Aeschi. On 1 January 2016 the former municipality of Hermiswil merged into Seeberg. accessed 3 February 2016 History Hermiswil Hermiswil is first mentioned in 1289 as ''Hermanswile''. During the 13th and 14th Centuries, the Hermiswil area had been granted by the Kyburg family to the vom Stein family. In 1466 the city of |
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] |
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi (; ; 10 December 1804 – 18 February 1851) was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants, and number theory. His name is occasionally written as Carolus Gustavus Iacobus Iacobi in his Latin books, and his first name is sometimes given as Karl. Jacobi was the first Jewish mathematician to be appointed professor at a German university. Biography Jacobi was born of Ashkenazi Jewish parentage in Potsdam on 10 December 1804. He was the second of four children of banker Simon Jacobi. His elder brother Moritz von Jacobi would also become known later as an engineer and physicist. He was initially home schooled by his uncle Lehman, who instructed him in the classical languages and elements of mathematics. In 1816, the twelve-year-old Jacobi went to the Potsdam Gymnasium, where students were taught all the standard subjects: classical languages, history, philology, mathem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jakob Steiner
Jakob Steiner (18 March 1796 – 1 April 1863) was a Swiss mathematician who worked primarily in geometry. Life Steiner was born in the village of Utzenstorf, Canton of Bern. At 18, he became a pupil of Heinrich Pestalozzi and afterwards studied at Heidelberg. Then, he went to Berlin, earning a livelihood there, as in Heidelberg, by tutoring. Here he became acquainted with A. L. Crelle, who, encouraged by his ability and by that of Niels Henrik Abel, then also staying at Berlin, founded his famous ''Journal'' (1826). After Steiner's publication (1832) of his ''Systematische Entwickelungen'' he received, through Carl Gustav Jacob Jacobi, who was then professor at Königsberg University, and earned an honorary degree there; and through the influence of Jacobi and of the brothers Alexander and Wilhelm von Humboldt a new chair of geometry was founded for him at Berlin (1834). This he occupied until his death in Bern on 1 April 1863. He was described by Thomas Hirst as follows: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Botany
Botany, also called , plant biology or phytology, is the science of plant life and a branch of biology. A botanist, plant scientist or phytologist is a scientist who specialises in this field. The term "botany" comes from the Ancient Greek word (''botanē'') meaning " pasture", " herbs" "grass", or " fodder"; is in turn derived from (), "to feed" or "to graze". Traditionally, botany has also included the study of fungi and algae by mycologists and phycologists respectively, with the study of these three groups of organisms remaining within the sphere of interest of the International Botanical Congress. Nowadays, botanists (in the strict sense) study approximately 410,000 species of land plants of which some 391,000 species are vascular plants (including approximately 369,000 species of flowering plants), and approximately 20,000 are bryophytes. Botany originated in prehistory as herbalism with the efforts of early humans to identify – and later cultivate – ed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thun
, neighboring_municipalities= Amsoldingen, Heiligenschwendi, Heimberg, Hilterfingen, Homberg, Schwendibach, Spiez, Steffisburg, Thierachern, Uetendorf, Zwieselberg , twintown = , website = www.thun.ch Thun (french: Thoune) is a town and a municipality in the administrative district of Thun in the canton of Bern in Switzerland. It is located where the Aare flows out of Lake Thun (Thunersee), southeast of Bern. the municipality has almost about 45,000 inhabitants and around 80,000 live in the agglomeration. Besides tourism, machine and precision instrument engineering, the largest garrison in the country, the food industry, armaments and publishing are of economic importance to Thun. The official language of Thun is (the Swiss variety of Standard) German, but the main spoken language is the local variant of the Alemannic Swiss German dialect. History The area of what is now Thun was inhabited since the Neolithic age (mid-3rd millennium BC). Durin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Universität Bern
The University of Bern (german: Universität Bern, french: Université de Berne, la, Universitas Bernensis) is a university in the Swiss capital of Bern and was founded in 1834. It is regulated and financed by the Canton of Bern. It is a comprehensive university offering a broad choice of courses and programs in eight faculties and some 150 institutes. With around 18,576 students, the University of Bern is the third largest university in Switzerland. Organization The University of Bern operates at three levels: university, faculties and institutes. Other organizational units include interfaculty and general university units. The university's highest governing body is the Senate, which is responsible for issuing statutes, rules and regulations. Directly answerable to the Senate is the University Board of Directors, the governing body for university management and coordination. The board comprises the rector, the vice-rectors and the administrative director. The structures and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abraham Gotthelf Kästner
Abraham Gotthelf Kästner (27 September 1719 – 20 June 1800) was a German mathematician and epigrammatist. He was known in his professional life for writing textbooks and compiling encyclopedias rather than for original research. Georg Christoph Lichtenberg was one of his doctoral students, and admired the man greatly. He became most well known for his epigrammatic poems. The crater Kästner on the Moon is named after him. Life Kästner was the son of law professor Abraham Kästner. He married Anna Rosina Baumann in 1757 after a 12-year engagement. She died on 4 March 1758, less than a year later, of a lung disease. Later Kästner had a daughter Catharine with his cleaning lady. Kästner studied law, philosophy, physics, mathematics and metaphysics in Leipzig from 1731, and was appointed a Notary in 1733. He gained his habilitation from the University of Leipzig in 1739, and lectured there in mathematics, philosophy, logic and law, becoming an associate professor in 17 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Calculus
In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus—the study of the area beneath a curve. The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and their applications. The derivative of a function at a chosen input value describes the rate of change of the function near that input value. The process of finding a derivative is called differentiation. Geometrically, the derivative at a point is the slope of the tangent line to the graph of the function at that point, provided that the derivative exists and is defined at that point. For a real-valued function of a single real variable, the derivative of a function at a point generally determines the best linear approximation to the function at that point. Differential calculus and integral calculus are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gymnasium (school)
''Gymnasium'' (and variations of the word) is a term in various European languages for a secondary school that prepares students for higher education at a university. It is comparable to the US English term '' preparatory high school''. Before the 20th century, the gymnasium system was a widespread feature of educational systems throughout many European countries. The word (), from Greek () 'naked' or 'nude', was first used in Ancient Greece, in the sense of a place for both physical and intellectual education of young men. The latter meaning of a place of intellectual education persisted in many European languages (including Albanian, Bulgarian, Estonian, Greek, German, Hungarian, the Scandinavian languages, Dutch, Polish, Czech, Serbo-Croatian, Macedonian, Slovak, Slovenian and Russian), whereas in other languages, like English (''gymnasium'', ''gym'') and Spanish (''gimnasio''), the former meaning of a place for physical education was retained. School structure Be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tradesman
A tradesman, tradeswoman, or tradesperson is a skilled worker that specializes in a particular trade (occupation or field of work). Tradesmen usually have work experience, on-the-job training, and often formal vocational education in contrast to an apprentice, who is learning the trade. As opposed to a craftsman or an artisan, the occupation of a tradesman is not necessarily restricted to manual work. History In Victorian England: :The terms "skilled worker," "craftsman," "artisan," and "tradesman" were used in senses that overlap. All describe people with specialized training in the skills needed for a particular kind of work. Some of them produced goods that they sold from their own premises (e.g. bootmakers, saddlers, hatmakers, jewelers, glassblowers); others (e.g. typesetters, bookbinders, wheelwrights) were employed to do one part of the production in a business that required a variety of skilled workers. Still others were factory hands who had become experts in some ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burgdorf, Switzerland
Burgdorf (french: Berthoud; High Alemannic: ''Bùùrdlef'') is the largest city in the Emmental in the canton of Bern in Switzerland. It was the capital of the district of the same name until 2010, when it became part of the new Emmental district. History Scattered archeological finds indicate that the area around Burgdorf was inhabited during the Neolithic era, the Late Bronze Age and the Hallstatt. During the High Middle Ages the land that would become Burgdorf was owned by the Kingdom of Burgundy and then after 1080 by the Dukes of Zähringen. Either the kings or the dukes built a castle on the left bank of the Emme river. Burgdorf is first mentioned in 1236 as ''in oppido Burchtorff'', while Burgdorf Castle is mentioned in 1080 as ''castellum Bertoldi ducis''. The Zähringen dukes built a city (upper-west city section) around the castle in the last quarter of the 12th century. After the extinction of Zähringen line, Burgdorf passed to the Counts of Kyburg. They ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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