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Hermann Schwarz
Karl Hermann Amandus Schwarz (; 25 January 1843 – 30 November 1921) was a German mathematician, known for his work in complex analysis. Life Schwarz was born in Hermsdorf, Silesia (now Sobieszów, Poland). In 1868 he married Marie Kummer, who was the daughter to the mathematician Ernst Eduard Kummer and Ottilie née Mendelssohn (a daughter of Nathan Mendelssohn's and granddaughter of Moses Mendelssohn). Schwarz and Kummer had six children, including his daughter Emily Schwarz. Schwarz originally studied chemistry in Berlin but Ernst Eduard Kummer and Karl Theodor Wilhelm Weierstrass persuaded him to change to mathematics. He received his Ph.D. from the Universität Berlin in 1864 and was advised by Kummer and Weierstrass. Between 1867 and 1869 he worked at the University of Halle, then at the Swiss Federal Polytechnic. From 1875 he worked at Göttingen University, dealing with the subjects of complex analysis, differential geometry and the calculus of variations. He ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sobieszów
Sobieszów (german: Hermsdorf unterm Kynast, ''short:'' german: Hermsdorf, ) is a part of the town of Jelenia Góra in Poland. It is located near Karkonosze National Park The Karkonosze National Park ( pl, Karkonoski Park Narodowy) is a National Park in the Karkonosze Mountains in the Sudetes in southwestern Poland, along the border with the Czech Republic. The park is located in Lower Silesian Voivodeship, in the .... The ruined castle Chojnik is located in Sobieszów. Jelenia Góra Neighbourhoods in Poland {{LowerSilesian-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leon Lichtenstein
Leon Lichtenstein (16 May 1878 – 21 August 1933) was a Polish-German mathematician, who made contributions to the areas of differential equations, conformal mapping, and potential theory. He was also interested in theoretical physics, publishing research in hydrodynamics and astronomy. Life and work Leon Lichtenstein was born on 16 May 1878 to an Ashkenazi Jewish family in Warsaw, then part of the Russian Empire. His cousin, Leo Wiener, was the father of MIT mathematician Norbert Wiener. He studied in Berlin, earning both a doctorate in mechanical and electrical engineering at the Technische Hochschule Berlin and a doctorate in mathematics at the Friedrich Wilhelm University with a thesis on differential equations written under the supervision of Hermann Schwarz and Friedrich Schottky. From 1902 he worked as an electrical engineer for Siemens & Halske; then, from 1910, he turned to the academic world by becoming privatdozent at the Berlin Technische Hochschule. Lichtenstei ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moses Mendelssohn
Moses Mendelssohn (6 September 1729 – 4 January 1786) was a German-Jewish philosopher and theologian. His writings and ideas on Jews and the Jewish religion and identity were a central element in the development of the ''Haskalah'', or 'Jewish Enlightenment' of the eighteenth and nineteenth centuries. Born to a poor Jewish family in Dessau, Principality of Anhalt, and originally destined for a rabbinical career, Mendelssohn educated himself in German thought and literature. Through his writings on philosophy and religion he came to be regarded as a leading cultural figure of his time by both Christian and Jewish inhabitants of German-speaking Europe and beyond. His involvement in the Berlin textile industry formed the foundation of his family's wealth. His descendants include the composers Fanny and Felix Mendelssohn; Felix's son, chemist Paul Mendelssohn Bartholdy; Fanny's grandsons, Paul and Kurt Hensel; and the founders of the Mendelssohn & Co. banking house. Life ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Eduard Kummer
Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a '' gymnasium'', the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker. Life Kummer was born in Sorau, Brandenburg (then part of Prussia). He was awarded a PhD from the University of Halle in 1831 for writing a prize-winning mathematical essay (''De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis''), which was eventually published a year later. In 1840, Kummer married Ottilie Mendelssohn, daughter of Nathan Mendelssohn and Henriette Itzig. Ottilie was a cousin of Felix Mendelssohn and his sister Rebecca Mendelssohn Bartholdy, the wife of the mathematician Peter Gustav Lejeune Dirichlet. His second wife (whom he married soon after the death of Ottilie in 1848), Bertha Cauer, was a maternal cous ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Poland
Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populous member state of the European Union. Warsaw is the nation's capital and largest metropolis. Other major cities include Kraków, Wrocław, Łódź, Poznań, Gdańsk, and Szczecin. Poland has a temperate transitional climate and its territory traverses the Central European Plain, extending from Baltic Sea in the north to Sudeten and Carpathian Mountains in the south. The longest Polish river is the Vistula, and Poland's highest point is Mount Rysy, situated in the Tatra mountain range of the Carpathians. The country is bordered by Lithuania and Russia to the northeast, Belarus and Ukraine to the east, Slovakia and the Czech Republic to the south, and Germany to the west. It also shares maritime boundaries with Denmark and Sweden. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Austrian Silesia
Austrian Silesia, (historically also ''Oesterreichisch-Schlesien, Oesterreichisch Schlesien, österreichisch Schlesien''); cs, Rakouské Slezsko; pl, Śląsk Austriacki officially the Duchy of Upper and Lower Silesia, (historically ''Herzogthum Ober- und Niederschlesien''); cs, Vévodství Horní a Dolní Slezsko; pl, Księstwo Górnego i Dolnego Śląska was an autonomous region of the Kingdom of Bohemia and the Habsburg monarchy (from 1804 the Austrian Empire, and from 1867 Cisleithanian Austria-Hungary). It is largely coterminous with the present-day region of Czech Silesia and was, historically, part of the larger Silesia region. Geography Austrian Silesia consisted of two territories, separated by the Moravian land strip of Moravská Ostrava between the Ostravice and Oder rivers. The area east of the Ostravice around Cieszyn reached from the heights of the Western Carpathians (Silesian Beskids) in the south, where it bordered with the Kingdom of Hungary, along the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear engineering, nuclear, aerospace engineering, aerospace, mechanical engineering, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is Analyticity of holomorphic functions, analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Germans
, native_name_lang = de , region1 = , pop1 = 72,650,269 , region2 = , pop2 = 534,000 , region3 = , pop3 = 157,000 3,322,405 , region4 = , pop4 = 21,000 3,000,000 , region5 = , pop5 = 125,000 982,226 , region6 = , pop6 = 900,000 , region7 = , pop7 = 142,000 840,000 , region8 = , pop8 = 9,000 500,000 , region9 = , pop9 = 357,000 , region10 = , pop10 = 310,000 , region11 = , pop11 = 36,000 250,000 , region12 = , pop12 = 25,000 200,000 , region13 = , pop13 = 233,000 , region14 = , pop14 = 211,000 , region15 = , pop15 = 203,000 , region16 = , pop16 = 201,000 , region17 = , pop17 = 101,000 148,00 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cauchy–Schwarz Inequality
The Cauchy–Schwarz inequality (also called Cauchy–Bunyakovsky–Schwarz inequality) is considered one of the most important and widely used inequalities in mathematics. The inequality for sums was published by . The corresponding inequality for integrals was published by and . Schwarz gave the modern proof of the integral version. Statement of the inequality The Cauchy–Schwarz inequality states that for all vectors \mathbf and \mathbf of an inner product space it is true that where \langle \cdot, \cdot \rangle is the inner product. Examples of inner products include the real and complex dot product; see the examples in inner product. Every inner product gives rise to a norm, called the or , where the norm of a vector \mathbf is denoted and defined by: \, \mathbf\, := \sqrt so that this norm and the inner product are related by the defining condition \, \mathbf\, ^2 = \langle \mathbf, \mathbf \rangle, where \langle \mathbf, \mathbf \rangle is always a non-negative ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Zermelo
Ernst Friedrich Ferdinand Zermelo (, ; 27 July 187121 May 1953) was a German logician and mathematician, whose work has major implications for the foundations of mathematics. He is known for his role in developing Zermelo–Fraenkel axiomatic set theory and his proof of the well-ordering theorem. Furthermore, his 1929 work on ranking chess players is the first description of a model for pairwise comparison that continues to have a profound impact on various applied fields utilizing this method. Life Ernst Zermelo graduated from Berlin's Luisenstädtisches Gymnasium (now ) in 1889. He then studied mathematics, physics and philosophy at the University of Berlin, the University of Halle, and the University of Freiburg. He finished his doctorate in 1894 at the University of Berlin, awarded for a dissertation on the calculus of variations (''Untersuchungen zur Variationsrechnung''). Zermelo remained at the University of Berlin, where he was appointed assistant to Planck, under whose ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theodor Vahlen
Karl Theodor Vahlen (30 June 1869 – 16 November 1945) was an Austrian-born mathematician and professor who was a member of the Nazi Party. He served as the first ''Gauleiter'' of Pomerania and was a member of both the SA and SS. Early years Theodore Vahlen was born in Vienna, the son of a German classical philologist Johannes Vahlen (1830–1911). He went to ''volksschule'' and gymnasium in Berlin before studying mathematics at the University of Berlin and receiving his doctorate there in 1893. From 1893, Vahlen was a ''Privatdozent'' in mathematics at the Königsberg Albertina University. In 1904, he began teaching at the University of Greifswald, and in 1911 he became an ordinarius professor there. He entered military service at the beginning of World War I with the rank of ''Hauptmann'' in the 68th (6th Royal Saxon) Field Artillery Regiment. He was an artillery battery commander on the western front (1914-1915) and the eastern front (1916-1917). Wounded in action o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
