Kraków School Of Mathematics
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Kraków School Of Mathematics
The Kraków School of Mathematics ( pl, krakowska szkoła matematyczna) was a subgroup of the Polish School of Mathematics represented by mathematicians from the Kraków universities—Jagiellonian University, and the AGH University of Science and Technology–active during the interwar period (1918–1939). Their areas of study were primarily classical analysis, differential equations, and analytic functions. The Kraków School of Differential Equations was founded by Tadeusz Ważewski, a student of Stanisław Zaremba, and was internationally appreciated after World War II. The Kraków School of Analytic Functions was founded by Franciszek Leja. Other notable members included Kazimierz Żorawski, Władysław Ślebodziński, Stanisław Gołąb, and Czesław Olech. See also *Polish School of Mathematics *Lwów School of Mathematics *Warsaw School of Mathematics *Polish Mathematical Society *Kraków School of Mathematics and Astrology The Kraków School of Mathematics and Astrol ...
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Polish School Of Mathematics
The Polish School of Mathematics was the mathematics community that flourished in Poland in the 20th century, particularly during the Interbellum between World Wars I and II. Overview The Polish School of Mathematics subsumed: *the Lwów School of Mathematics - mostly focused on functional analysis; *the Warsaw School of Mathematics - mostly focused on set theory, mathematical logic and topology; and *the Kraków School of Mathematics - mostly focused on differential equations, analytic functions, differential geometry. Nomenclature Poland's mathematicians provided a name to Polish notation and Polish space. Background It has been debated what stimulated the exceptional efflorescence of mathematics in Poland after World War I. Important preparatory work had been done by the Polish "Positivists" following the disastrous January 1863 Uprising. The Positivists extolled science and technology, and popularized slogans of "organic work" and "building from the foundations." I ...
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Władysław Ślebodziński
Władysław Ślebodziński () (February 6, 1884 – January 3, 1972) was a Polish mathematician. Władysław Ślebodziński was born in Pysznica, Poland and educated at the Jagiellonian University in Kraków (1903-1908) where he subsequently held a teaching position until 1921. After 1921, he lectured at the State High School of Mechanical Engineering Poznań and in the thirties, he was a visiting lecturer at the Poznań University and Warsaw University until 1939. During the Second World War, he gave underground lectures, leading to his imprisonment. He survived three German concentration camps: Auschwitz (1942 - 1945), where he gave underground university-level lectures as prisoner no. 79053, Gross-Rosen and Nordhausen. In 1945 he became a joint professor at Wrocław University and at the Wrocław University of Technology, and from 1951 he was a professor at the Wrocław University of Technology. With Bronisław Knaster, Edward Marczewski and Hugo Steinhaus, he was a c ...
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History Of Education In Poland
Education in Poland is compulsory; every child must receive education from when they are 7 years old until they are 18 years old. It is also mandatory for 6-year-old children to receive one year of kindergarten ( pl, przedszkole, literally ''pre-school'') education, before starting primary school ( pl, szkoła podstawowa) at 7 years old. Primary school lasts eight years (grades 1–8), and students must take a final exam at the end of the eighth grade. After graduating from primary school, people typically go on to attend secondary school ( pl, szkoła średnia), which lasts 4 or 5 years. They can also choose to educate themselves towards a specific profession or trade, and receive work experience and qualifications through apprenticeships. After graduating from secondary school and passing the final exam, called the ''matura'', one can pursue a higher education at a university, college, etc. The Polish Ministry of Education established by King Stanisław August Poniatowski in 17 ...
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History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ...
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Polish Mathematics
Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles, people from Poland or of Polish descent * Polish chicken *Polish brothers (Mark Polish and Michael Polish, born 1970), American twin screenwriters Polish may refer to: * Polishing, the process of creating a smooth and shiny surface by rubbing or chemical action ** French polishing, polishing wood to a high gloss finish * Nail polish * Shoe polish * Polish (screenwriting), improving a script in smaller ways than in a rewrite See also * * * Polonaise (other) A polonaise ()) is a stately dance of Polish origin or a piece of music for this dance. Polonaise may also refer to: * Polonaises (Chopin), compositions by Frédéric Chopin ** Polonaise in A-flat major, Op. 53 (french: Polonaise héroïque, lin ... {{Disambiguation, surname Language and nationality disambiguation pages ...
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Kraków School Of Mathematics And Astrology
The Kraków School of Mathematics and Astrology ( pl, krakowska szkoła matematyczna i astrologiczna) was an influential mid-to-late-15th-century group of mathematicians and astrologers at the Jagiellonian University, University of Kraków (later ''Jagiellonian University''). Notable members * Jan of Głogów (1445–1507), author of widely recognized mathematical and astrological tracts * :pl:Marcin Biem, Marcin Biem (1470–1540), contributor to the Gregorian calendar * Marcin Bylica of Olkusz (1433–93), later court astrologer to King Matthias Corvinus of Hungary * Albert Brudzewski (1446–1495), teacher to notable scholars active at European universities * :pl:Marcin Król z Żurawicy, Marcin Król of Żurawica (1422–1460) * Nicolaus Copernicus (1473–1543), student at Kraków in 1491–95 See also * Kraków School of Mathematics * Polish School of Mathematics References

* History of education in Poland Education in Kraków History of mathematics Jagiellonian Unive ...
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Polish Mathematical Society
The Polish Mathematical Society ( pl, Polskie Towarzystwo Matematyczne) is the main professional society of Polish mathematicians and represents Polish mathematics within the European Mathematical Society (EMS) and the International Mathematical Union (IMU). History The society was established in Kraków, Poland on 2 April 1919 . It was originally called the Mathematical Society in Kraków, the name was changed to the Polish Mathematical Society on 21 April 1920. It was founded by 16 mathematicians, Stanisław Zaremba, Franciszek Leja, Alfred Rosenblatt, Stefan Banach and Otto Nikodym were among them. Ever since its foundation, the society's main activity was to bring mathematicians together by means of organizing conferences and lectures. The second main activity is the publication of its annals ''Annales Societatis Mathematicae Polonae'', consisting of: * Series 1''Commentationes Mathematicae'' * Series 2Wiadomości Matematyczne("Mathematical News"), in Polish * Series 3: ' ...
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Warsaw School Of Mathematics
Warsaw School of Mathematics is the name given to a group of mathematicians who worked at Warsaw, Poland, in the two decades between the World Wars, especially in the fields of logic, set theory, point-set topology and real analysis. They published in the journal ''Fundamenta Mathematicae'', founded in 1920—one of the world's first specialist pure-mathematics journals. It was in this journal, in 1933, that Alfred Tarski—whose illustrious career would a few years later take him to the University of California, Berkeley—published his celebrated theorem on the undefinability of the notion of truth. Notable members of the Warsaw School of Mathematics have included: * Wacław Sierpiński * Kazimierz Kuratowski * Edward Marczewski * Bronisław Knaster * Zygmunt Janiszewski * Stefan Mazurkiewicz * Stanisław Saks * Karol Borsuk * Roman Sikorski * Nachman Aronszajn * Samuel Eilenberg Additionally, notable logicians of the Lwów–Warsaw School of Logic, working at Warsaw, have i ...
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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 Kaczmar ...
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Czesław Olech
Czesław Olech (22 May 1931 – 1 July 2015) was a Polish mathematician. He was a representative of the Kraków school of mathematics, especially the differential equations school of Tadeusz Ważewski. Education and career In 1954 he completed his mathematical studies at the Jagiellonian University in Kraków, obtained his doctorate at the Institute of Mathematical Sciences in 1958, habilitation in 1962, the title of associate professor in 1966, and the title of professor in 1973. *1970–1986: director of The Institute of Mathematics, Polish Academy of Sciences. *1972–1991: director of Stefan Banach International Mathematical Center in Warsaw. *1979–1986: member of the Executive Committee, International Mathematical Union. *1982–1983: president of the Organizing Committee, International Congress of Mathematicians in Warsaw, *1987–1989: president of the Board of Mathematics, Polish Academy of Sciences. *1990–2002: president of the Scientific Council, Institute of Mathe ...
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Stanisław Gołąb
Stanisław Gołąb (July 26, 1902 – April 30, 1980) was a Polish mathematician from Kraków, working in particular on the field of affine geometry. In 1932, he proved that the perimeter of the unit disc respect to a given metric can take any value in between 6 and 8, and that these extremal values are obtained if and only if the unit disc is an affine regular hexagon resp. a parallelogram.For more details on the topic, see the entry "Unit disc". Selected works * S. Gołąb: ''Quelques problèmes métriques de la géometrie de Minkowski'', Trav. de l'Acad. Mines Cracovie 6 (1932), 1–79 * Golab, S., ''Über einen algebraischen Satz, welcher in der Theorie der geometrischen Objekte auftritt'', Beiträge zur Algebra und Geometrie 2 (1974) 7–10. * Golab, S.; Swiatak, H.: ''Note on Inner Products in Vector Spaces.'' Aequationes Mathematicae (1972) 74. * Golab, S.: ''Über das Carnotsche Skalarprodukt in schwach normierten Vektorräumen.'' Aequationes Mathematicae 13 (1975) 9–1 ...
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Kazimierz Żorawski
Kazimierz Żorawski (June 22, 1866 – January 23, 1953) was a Polish mathematician. His work earned him an honored place in mathematics alongside such Polish mathematicians as Wojciech Brudzewski, Jan Brożek (Broscius), Nicolas Copernicus, Samuel Dickstein, Stefan Banach, Stefan Bergman, Marian Rejewski, Wacław Sierpiński, Stanisław Zaremba and Witold Hurewicz. Żorawski's main interests were invariants of differential forms, integral invariants of Lie groups, differential geometry and fluid mechanics. His work in these disciplines was to prove important in other fields of mathematics and science, such as differential equations, geometry and physics (especially astrophysics and cosmology). Biography Kazimierz Żorawski was born in Szczurzyn near Ciechanów, in the Russian Empire, now in Poland, to Juliusz Bronisław Wiktor Żórawski and Kazimiera Żórawska. In 1884 he completed secondary school in Warsaw. From 1884 to 1888 he studied mathematics at the University of ...
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