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Oswald Teichmüller
Paul Julius Oswald Teichmüller (; 18 June 1913 – 11 September 1943) was a German mathematician. He made contributions to complex analysis, including the introduction of quasiconformal mappings and differential geometric methods into the study of Riemann surfaces. The Teichmüller space is named after him, as is the Teichmüller character and the Teichmüller cocycle. Born in Nordhausen, Teichmüller attended the University of Göttingen, where he graduated in 1935 under the supervision of Helmut Hasse. His doctoral dissertation was on operator theory, though this was his only work on functional analysis. His next few papers were algebraic, but he switched his focus to complex analysis after attending lectures given by Rolf Nevanlinna. In 1937, he moved to the University of Berlin to work with Ludwig Bieberbach. Bieberbach was the editor of ''Deutsche Mathematik'' and much of Teichmüller's work was published in the journal, which made his papers hard to find in modern li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nordhausen, Thuringia
Nordhausen () is a city in Thuringia, Germany. It is the capital of the Nordhausen (district), Nordhausen district and the urban centre of northern Thuringia and the southern Harz region; its population is 42,000. Nordhausen is located approximately north of Erfurt, west of Halle (Saale), Halle, south of Braunschweig and east of Göttingen. Nordhausen was first mentioned in records in the year 927 and became one of the most important cities in central Germany during the later Middle Ages. The city is situated on the Zorge (river), Zorge river, a tributary of the Helme (river), Helme within the fertile region of Goldene Aue ''(golden floodplain)'' at the southern edge of the Harz mountains. In the early 13th century, it became a free imperial city, so that it was an independent and republican self-ruled member of the Holy Roman Empire. Due to its long-distance trade, Nordhausen was prosperous and influential, with a population of 8,000 around 1500. It was the third-largest cit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, or Topological space#Definitions, topology) and the linear transformation, linear functions defined on these spaces and suitably respecting these structures. The historical roots of functional analysis lie in the study of function space, spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining, for example, continuous function, continuous or unitary operator, unitary operators between function spaces. This point of view turned out to be particularly useful for the study of differential equations, differential and integral equations. The usage of the word ''functional (mathematics), functional'' as a noun goes back to the calculus of v ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Battle Of Stalingrad
The Battle of Stalingrad ; see . rus, links=on, Сталинградская битва, r=Stalingradskaya bitva, p=stəlʲɪnˈɡratskəjə ˈbʲitvə. (17 July 19422 February 1943) was a major battle on the Eastern Front of World War II, beginning when Nazi Germany and its Axis allies attacked and became locked in a protracted struggle with the Soviet Union for control over the Soviet city of Stalingrad (now known as Volgograd) in southern Russia. The battle was characterized by fierce close-quarters combat and direct assaults on civilians in aerial raids; the battle epitomized urban warfare, being the single largest and costliest urban battle in military history. It was the bloodiest and fiercest battle of the entirety of World War II—and arguably in all of human history—as both sides suffered tremendous casualties amidst ferocious fighting in and around the city. The battle is commonly regarded as the turning point in the European theatre of World War II, as Germany ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cipher Department Of The High Command Of The Wehrmacht
The Cipher Department of the High Command of the Wehrmacht () (also ''Oberkommando der Wehrmacht Chiffrierabteilung'' or ''Chiffrierabteilung of the High Command of the Wehrmacht'' or ''Chiffrierabteilung of the OKW'' or ''OKW/Chi'' or ''Chi'') was the Signals intelligence, Signal Intelligence Agency of the Oberkommando der Wehrmacht, Supreme Command of the Armed Forces of the Wehrmacht, German Armed Forces before and during World War II. Oberkommando der Wehrmacht, OKW/Chi, within the formal order of battle hierarchy OKW/WFsT/Ag WNV/Chi, dealt with the cryptanalysis and deciphering of enemy and neutral states' message traffic and security control of its own key processes and machinery, such as the Rotor machine, rotor cipher Enigma machine, ENIGMA machine. It was the successor to the former Chi bureau () of the Ministry of the Reichswehr, Reichswehr Ministry. Short name The name "Chi" for the ''Chiffrierabteilung'' ("cipher department") is, contrary to what one might expect, not ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cryptographic
Cryptography, or cryptology (from "hidden, secret"; and ''graphein'', "to write", or '' -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adversarial behavior. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital signal processing, physics, and others. Core concepts related to information security ( data confidentiality, data integrity, authentication, and non-repudiation) are also central to cryptography. Practical applications of cryptography include electronic commerce, chip-based payment cards, digital currencies, computer passwords, and military communications. Cryptography prior to the modern age was effectively synonymous with encryption, convert ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wehrmacht
The ''Wehrmacht'' (, ) were the unified armed forces of Nazi Germany from 1935 to 1945. It consisted of the German Army (1935–1945), ''Heer'' (army), the ''Kriegsmarine'' (navy) and the ''Luftwaffe'' (air force). The designation "''Wehrmacht''" replaced the previously used term (''Reich Defence'') and was the manifestation of the Nazi regime's efforts to German rearmament, rearm Germany to a greater extent than the Treaty of Versailles permitted. After the Adolf Hitler's rise to power, Nazi rise to power in 1933, one of Adolf Hitler's most overt and bellicose moves was to establish the ''Wehrmacht'', a modern offensively-capable armed force, fulfilling the Nazi regime's long-term goals of regaining lost territory as well as gaining new territory and dominating its neighbours. This required the reinstatement of conscription and massive investment and Military budget, defence spending on the arms industry. The ''Wehrmacht'' formed the heart of Germany's politico-military po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edmund Landau
Edmund Georg Hermann Landau (14 February 1877 – 19 February 1938) was a German mathematician who worked in the fields of number theory and complex analysis. Biography Edmund Landau was born to a Jewish family in Berlin. His father was Leopold Landau, a gynecologist, and his mother was Johanna Jacoby. Landau studied mathematics at the University of Berlin, receiving his doctorate in 1899 and his habilitation (the post-doctoral qualification required to teach in German universities) in 1901. His doctoral thesis was 14 pages long. In 1895, his paper on scoring chess tournaments is the earliest use of eigenvector centrality. Landau taught at the University of Berlin from 1899 to 1909, after which he held a chair at the University of Göttingen. He married Marianne Ehrlich, the daughter of the Nobel Prize-winning biologist Paul Ehrlich, in 1905. At the 1912 International Congress of Mathematicians Landau listed four problems in number theory about primes that he said were pa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard Courant
Richard Courant (January 8, 1888 – January 27, 1972) was a German-American mathematician. He is best known by the general public for the book '' What is Mathematics?'', co-written with Herbert Robbins. His research focused on the areas of real analysis, mathematical physics, the calculus of variations and partial differential equations. He wrote textbooks widely used by generations of students of physics and mathematics. He is also known for founding the institute now bearing his name. Life and career Courant was born in Lublinitz, in the Prussian Province of Silesia (now in Poland). His parents were Siegmund Courant and Martha Freund of Oels. Edith Stein was Richard's cousin on the maternal side. During his youth his parents moved often, including to Glatz, then to Breslau and in 1905 to Berlin. He stayed in Breslau and entered the university there, then continued his studies at the University of Zürich and the University of Göttingen. He became David Hilbert's assista ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sturmabteilung
The (; SA; or 'Storm Troopers') was the original paramilitary organisation under Adolf Hitler and the Nazi Party of Germany. It played a significant role in Adolf Hitler's rise to power, Hitler's rise to power in the 1920s and early 1930s. Its primary purposes were providing protection for Nazi rallies and assemblies, disrupting the meetings of opposing parties, fighting against the paramilitary units of the opposing parties, especially the ''Roter Frontkämpferbund'' of the Communist Party of Germany (KPD) and the ''Reichsbanner Schwarz-Rot-Gold'' of the Social Democratic Party of Germany (SPD), and intimidating Romani people, Romani, trade unionists, and especially Jews. The SA were colloquially called Brownshirts () because of the colour of their Uniforms and insignia of the Sturmabteilung, uniform's shirts, similar to Benito Mussolini's Blackshirts. The official uniform of the SA was a brown shirt with a brown tie. The color came about because a large shipment of Paul von ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nazi Party
The Nazi Party, officially the National Socialist German Workers' Party ( or NSDAP), was a far-right politics, far-right political party in Germany active between 1920 and 1945 that created and supported the ideology of Nazism. Its precursor, the German Workers' Party (; DAP), existed from 1919 to 1920. The Nazi Party emerged from the Extremism, extremist German nationalism, German nationalist ("Völkisch nationalism, ''Völkisch'' nationalist"), racism, racist, and populism, populist paramilitary culture, which fought against communism, communist uprisings in post–World War I Germany. The party was created to draw workers away from communism and into nationalism. Initially, Nazi political strategy focused on anti-big business, anti-bourgeoisie, and anti-capitalism, disingenuously using socialist rhetoric to gain the support of the lower middle class; it was later downplayed to gain the support of business leaders. By the 1930s, the party's main focus shifted to Antisemit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Deutsche Mathematik
''Deutsche Mathematik'' (German Mathematics) was a mathematics journal founded in 1936 by Ludwig Bieberbach and Theodor Vahlen. Vahlen was publisher on behalf of the German Research Foundation (DFG), and Bieberbach was chief editor. Other editors were , Erich Schönhardt, Werner Weber (mathematician), Werner Weber (all volumes), Ernst August Weiß (volumes 1–6), , Wilhelm Süss (volumes 1–5), Günther Schulz (mathematician), Günther Schulz (:de:Günther Schulz (Mathematiker), de), (volumes 1–4), Georg Feigl, Gerhard Kowalewski (volumes 2–6), , Willi Rinow, (volumes 2–5), and Oswald Teichmüller (volumes 3–7). In February 1936, the journal was declared the official organ of the German Student Union (DSt) by its ''Reichsführer'', and all local DSt mathematics departments were requested to subscribe and actively contribute. In the 1940s, issues appeared increasingly delayed and bunched; the journal ended with a triple issue (due Dec 1942) in June 1944. ''Deutsche Mathe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ludwig Bieberbach
Ludwig Georg Elias Moses Bieberbach (; 4 December 1886 – 1 September 1982) was a German mathematician and leading representative of National Socialist German mathematics (" Deutsche Mathematik"). Biography Born in Goddelau, near Darmstadt, he studied at Heidelberg and under Felix Klein at Göttingen, receiving his doctorate in 1910. His dissertation was titled ''On the theory of automorphic functions'' (). He began working as a Privatdozent at Königsberg in 1910 and as Professor ordinarius at the University of Basel in 1913. He taught at the University of Frankfurt in 1915 and the University of Berlin from 1921–45. Bieberbach wrote a habilitation thesis in 1911 about groups of Euclidean motions – identifying conditions under which the group must have a translational subgroup whose vectors span the Euclidean space – that helped solve Hilbert's 18th problem. He worked on complex analysis and its applications to other areas in mathematics. He is known for his wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
