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Lwów School Of Mathematics
The Lwów school of mathematics ( pl, lwowska szkoła matematyczna) was a group of Polish mathematicians who worked in the interwar period in Lwów, Poland (since 1945 Lviv, Ukraine). The mathematicians often met at the famous Scottish Café to discuss mathematical problems, and published in the journal ''Studia Mathematica'', founded in 1929. The school was renowned for its productivity and its extensive contributions to subjects such as point-set topology, set theory and functional analysis. The biographies and contributions of these mathematicians were documented in 1980 by their contemporary Kazimierz Kuratowski in his book ''A Half Century of Polish Mathematics: Remembrances and Reflections''. Members Notable members of the Lwów school of mathematics included: * Stefan Banach * Feliks Barański * Władysław Orlicz * Stanisław Saks * Hugo Steinhaus * Stanisław Mazur * Stanisław Ulam * Józef Schreier * Juliusz Schauder * Mark Kac * Antoni Łomnicki * Stefan ...
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Władysław Orlicz
Władysław Roman Orlicz (May 24, 1903 in Okocim, Austria-Hungary (now Poland) – August 9, 1990 in Poznań, Poland) was a Polish mathematician of Lwów School of Mathematics. His main interests were functional analysis and topology: Orlicz spaces are named after him. Education and career Orlicz was the third of Franciszek and Maria Orlicz's five children. His youngest brother died in the Polish-Soviet War, the eldest perished in the Stutthof concentration camp. The other brothers also became professors. The family moved several times. Orlicz attended school in Tarnów, Znojmo, and Lviv, where he finished school in 1920 and began studying mathematics at the Lviv Polytechnic University. He studied with Hugo Steinhaus, Antoni Łomnicki and Stanisław Ruziewicz, among others. As early as 1923 he took on small tasks at the Faculty of Mathematics. On August 1, 1925 he became a junior assistant at the Jan Kazimierz University in Lemberg (now University of Lviv). He published h ...
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Germany
Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated between the Baltic and North seas to the north, and the Alps to the south; it covers an area of , with a population of almost 84 million within its 16 constituent states. Germany borders Denmark to the north, Poland and the Czech Republic to the east, Austria and Switzerland to the south, and France, Luxembourg, Belgium, and the Netherlands to the west. The nation's capital and most populous city is Berlin and its financial centre is Frankfurt; the largest urban area is the Ruhr. Various Germanic tribes have inhabited the northern parts of modern Germany since classical antiquity. A region named Germania was documented before AD 100. In 962, the Kingdom of Germany formed the bulk of the Holy Roman Empire. During the 16th ce ...
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Stanisław Ruziewicz
Stanisław Ruziewicz (29 August 1889 – 12 July 1941) was a Polish mathematician and one of the founders of the Lwów School of Mathematics. He was a former student of Wacław Sierpiński, earning his doctorate in 1913 from the University of Lwów; his thesis concerned continuous functions that are not differentiable. He became a professor at the same university (then named Jan Kazimierz University) and rector of the Academy of Foreign Trade in Lwów. During the Second World War, Ruziewicz's home city of Lwów was annexed by the Ukrainian Soviet Socialist Republic, but then taken over by the General Government of German-occupied Poland in July 1941; Ruziewicz was arrested and murdered by the Gestapo on 12 July 1941 in Lwów, during the Massacre of Lwów professors. The Ruziewicz problem, asking whether the Lebesgue measure In measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a ...
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Włodzimierz Stożek
Włodzimierz Stożek (23 July 1883 – 3 or 4 July 1941) was a Polish mathematician of the Lwów School of Mathematics. Head of the Mathematics Faculty on the Lwów University of Technology. He was arrested and murdered together with his two sons: the 29-year-old engineer Eustachy and 24-year-old Emanuel, graduate of the Institute of Technology by Nazis during the Second World War on 3 or 4 July in Lviv, during the Massacre of Lviv professors. In December 1944, Stefan Banach wrote the following tribute to Stożek: :Professor Włodzimierz Stożek was an outstanding mathematician, the author of numerous papers on the theory of integral equations, potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gra ..., as well as on many other branches of mathematics. His work is widel ...
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Herman Auerbach
Herman Auerbach (October 26, 1901, Tarnopol – August 17, 1942) was a Polish mathematician and member of the Lwów School of Mathematics. Auerbach was professor at Lwów University. During the Second World War because of his Jewish descent he was imprisoned by the Germans in the Lwów ghetto. In 1942 he was murdered at Bełżec extermination camp. News on wartime fates of Polish mathematicians, pp. 868–869. See also *Jewish ghettos in German-occupied Poland * List of Nazi-German concentration camps *The Holocaust in Poland The Holocaust in Poland was part of the European-wide Holocaust organized by Nazi Germany and took place in German-occupied Poland. During the genocide, three million Polish Jews were murdered, half of all Jews murdered during the Holoca ... * World War II casualties of Poland References External links *Author profilein the database zbMATH 1901 births 1942 deaths People from Ternopil People from the Kingdom of Galicia and Lodomeria ...
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Stefan Kaczmarz
Stefan Marian Kaczmarz (March 20, 1895 in Sambor, Galicia, Austria-Hungary – 1939) was a Polish mathematician. His Kaczmarz method provided the basis for many modern imaging technologies, including the CAT scan.. Kaczmarz was a professor of mathematics in the faculty of mechanical engineering of Jan Kazimierz University of Lwów from 1919 to 1939, where he collaborated with Stefan Banach. The circumstances of Kaczmarz's death are unclear. In early September 1939, after World War II broke out, he was called up for Polish military service as a reserve lieutenant. He sent a letter to his wife on 4 September and was not heard from afterwards. Theories for his death include the possibility that he died soon after near Nisko (the source of his last letter to his wife) in a German bombing raid on a train he was traveling in, that he died later that month in combat against the Germans near Umiastów, or that he was murdered by the NKVD in April or May 1940 as part of the Katyń ...
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Antoni Łomnicki
Antoni Marian Łomnicki (17 January 1881 – 4 July 1941) was a Polish mathematician. Antoni Łomnicki was educated at Jan Kazimierz University in Lwów in Poland and the University of Göttingen in Germany. In 1920 he became professor of the Lwów University of Technology. In 1938 he became a member of the Warsaw Scientific Society (TNW). Łomnicki was murdered by the Nazi Germans during the Second World War on the Wzgórza Wuleckie in Lwów in the Massacre of Lwów professors. In December 1944 Stefan Banach wrote the following tribute to Łomnicki: :A native of Lwów, he worked for over twenty years as a mathematics professor at the Lwów University of Technology. He prepared hundreds of engineers for their profession. I was his assistant. He was the first to instil in me the importance and responsibility of a professor’s task. He was an unrivalled educator, one of the best I ever knew. He was the author of many popular schoolbooks as well as textbooks on advanced analysi ...
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Mark Kac
Mark Kac ( ; Polish: ''Marek Kac''; August 3, 1914 – October 26, 1984) was a Polish American mathematician. His main interest was probability theory. His question, " Can one hear the shape of a drum?" set off research into spectral theory, the idea of understanding the extent to which the spectrum allows one to read back the geometry. (In the end, the answer was "no", in general.) Biography He was born to a Polish-Jewish family; their town, Kremenets ( Polish: "Krzemieniec"), changed hands from the Russian Empire (by then Soviet Ukraine) to Poland after the Peace of Riga, when Kac was a child.Obituary
in ''Rochester Democrat & Chronicle'', 11 November 1984
Kac completed his Ph.D. in mathematics at the Polish University of L ...
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Juliusz Schauder
Juliusz Paweł Schauder (; 21 September 1899, Lwów, Austria-Hungary – September 1943, Lwów, Occupied Poland) was a Polish mathematician of Jewish origin, known for his work in functional analysis, partial differential equations and mathematical physics. Life and career Born on 21 September 1899 in Lwów, he was drafted into the Austro-Hungarian Army right after his graduation from school and saw action on the Italian front. He was captured and imprisoned in Italy. He entered the university in Lwów in 1919 and received his doctorate in 1923. He got no appointment at the university and continued his research while working as teacher at a secondary school. Due to his outstanding results, he obtained a scholarship in 1932 that allowed him to spend several years in Leipzig and, especially, Paris. In Paris he started a very successful collaboration with Jean Leray. Around 1935 Schauder obtained the position of a senior assistant in the University of Lwów. Schauder, al ...
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Józef Schreier
Józef Schreier (; 18 February 1909, Drohobycz, Austria-Hungary – April 1943, Drohobycz, Occupied Poland) was a Polish mathematician of Jewish origin, known for his work in functional analysis, group theory and combinatorics. He was a member of the Lwów School of Mathematics and a victim of the Holocaust. Józef Schreier was born on 18 February 1909 in Drohobycz. His father was a rabbi and doctor of philosophy. His cousin was the musician Alfred Schreyer. From 1927-31 he studied at the Jan Kazimierz University in Lwów. In his first published paper, he defined what later came to be known as Schreier sets in order to show that not all Banach spaces possess the weak Banach-Saks property, disproving a conjecture of Stefan Banach and Stanisław Saks. Schreier sets were later discovered independently by researchers in Ramsey theory. Schreier completed his master's degree ''On tournament elimination systems'' in 1932 under the direction of Hugo Steinhaus. Schreier correctly ...
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Stanisław Ulam
Stanisław Marcin Ulam (; 13 April 1909 – 13 May 1984) was a Polish-American scientist in the fields of mathematics and nuclear physics. He participated in the Manhattan Project, originated the Teller–Ulam design of thermonuclear weapons, discovered the concept of the cellular automaton, invented the Monte Carlo method of computation, and suggested nuclear pulse propulsion. In pure and applied mathematics, he proved some theorems and proposed several conjectures. Born into a wealthy Polish Jewish family, Ulam studied mathematics at the Lwów Polytechnic Institute, where he earned his PhD in 1933 under the supervision of Kazimierz Kuratowski and Włodzimierz Stożek. In 1935, John von Neumann, whom Ulam had met in Warsaw, invited him to come to the Institute for Advanced Study in Princeton, New Jersey, for a few months. From 1936 to 1939, he spent summers in Poland and academic years at Harvard University in Cambridge, Massachusetts, where he worked to establish im ...
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