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Chapters: Members of the Polish Academy of Learning, Wacław Sierpiński, Stefan Banach, Kazimierz Kuratowski, Hugo Steinhaus, Edward Flatau, George Zarnecki, Jerzy Kuryłowicz, Stanisław Kutrzeba, Emil Godlewski, Andrzej Gawroński, Jerzy Strzelczyk, Kazimierz Bartel, Antoni Zygmund, Zygmunt Wojciechowski, Gustaw Holoubek, Tadeusz Banachiewicz, Henryk Samsonowicz, Władysław Konopczyński, Benedykt Dybowski, Szymon Askenazy, Oskar Halecki, Karol Lanckoroński, Gerard Labuda, Stanisław Lorentz, Adam Chętnik, Maria Janion, Henryk Łowmiański, Kazimierz Piwarski, Wacław Sobieski, Stanisław Salmonowicz. Source: Wikipedia. Pages: 101. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Stefan Banach ( listen) (18921945) was a Polish mathematician who worked in interwar Poland and in Soviet Ukraine. A self-taught mathematics prodigy, Banach was the founder of modern functional analysis and a founder of the Lwów School of Mathematics. Among his most prominent achievements was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of linear-metric space. Notable mathematical concepts named after Banach include the BanachTarski paradox, HahnBanach theorem, BanachSteinhaus theorem, Banach-Mazur game and Banach space. Stefan Banach was born on March 30, 1892, at St. Lazarus General Hospital in Kraków, then part of Austro-Hungarian Galicia. Banach's parents were Stefan Greczek and one Katarzyna Banach, both natives of the Podhale region. Stefan Greczek was born in Ostrowsko near the town of Nowy Targ and at one time was a soldier in the Austro-Hungarian Army stationed in Kraków. Stefan Greczek's father, Józef, was a farmer and a village mayor and Józef's wife, Antonina (née Borkowska) bore the Pomian coat of arms. Banach's mother left him after bap...More: http://booksllc.net/?id=29646 ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 110 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Chapters: Polish Mathematicians, Wacław Sierpiński, Stefan Banach, Alfred Korzybski, Yulian Vasilievich Sokhotski, Albert Brudzewski, Edward Kofler, Kazimierz Żorawski, Józef Maria Hoene-Wroński, Bruno Abakanowicz, Jan Łukasiewicz, Jerzy Neyman, Teofil Żebrawski, Jan Mikołaj Smogulecki, Emil Leon Post, Stanisław Leśniewski, Henryk Iwaniec, Zygmunt Janiszewski, Greg Kuperberg, Jerzy Różycki, List of Polish Mathematicians, Witelo, Jan Brożek, Witold Hurewicz, Kazimierz Bartel, Helena Rasiowa, Jacob Theodor Klein, Włodzimierz Kuperberg, Antoni Zygmund, Salomon Bochner, Stanisław Trybuła, Stanisław Saks, Stanisław Zaremba, Cecilia Krieger, Ignacy Zaborowski, Krystyna Kuperberg, Józef Marcinkiewicz, Leon Chwistek, Ryszard Syski, Tadeusz Banachiewicz, Karol Borsuk, Tomek Bartoszyński, Henryk Zygalski, Jan Graliński, Stanisław Jaśkowski, Stanisław Mazur, Przemysław Prusinkiewicz, Kazimierz Zarankiewicz, Jan Śniadecki, Grzegorz Rozenberg, Stefan Mazurkiewicz, Robert Schatten, Józef H. Przytycki, Stefan Bergman, Polish School of Mathematics, Marcin Odlanicki Poczobutt, Andrzej Mostowski, Jakob Rosanes, Jan Mycielski, Marek Karpinski, Franciszek Leja, Władysław Ślebodziński, Adam Adamandy Kochański, Stanisław Radziszowski, Tadeusz Iwaniec, Warsaw School of Mathematics, Siemion Fajtlowicz, Lucjan Zarzecki, Otto M. Nikodym, Kraków School of Mathematics, Stanisław Gołąb, Adam Danielewicz, Gabriel Judah Lichtenfeld, Jan Mikusinski, Zdzisław Krygowski, Stefan Kaczmarz, Andrzej Schinzel, Władysław Orlicz, Bronisław Knaster, Ryszard Engelking, Kraków School of Mathematics and Astrology, Roman Sikorski, Czesław Ryll-Nardzewski, Władysław Zajączkowski, Jerzy Browkin, Arnold Walfisz, Edward Jan Habich, Andrzej Białynicki-Birula, Włodzimierz Stożek, Jerzy Łoś, Antoni Łomnicki, Herman Auerbach, Andrzej Trybulec, Piotr Smoleński, Stanisław Ruziewicz, Feliks Barański, Studia Mathematica, Andrzej Grzegorczyk, S. L. Woronowicz, Tadeusz Ważewski, Stani...More: http://booksllc.net/?id=29646 ... Read more

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Kapitel: Stefan Banach, David Hilbert, Felix Hausdorff, Sergei Natanowitsch Bernstein, Alexander Grothendieck, Rolf Nevanlinna, Mileva Marić, Constantin Carathéodory, Wladimir Igorewitsch Arnold, Hermann Minkowski, Oswald Teichmüller, Laurent Schwartz, Ludwig Bieberbach, Paul Painlevé, Michael James Lighthill, Israel Gelfand, Richard Courant, Louis Nirenberg, Lars Valerian Ahlfors, Charles-Jean de La Vallée Poussin, Paul Koebe, Leon Lichtenstein, Hans Grauert, Jacques Hadamard, Lennart Carleson, Otto Blumenthal, Jean Dieudonné, Sergei Lwowitsch Sobolew, Erich Kamke, John Willard Milnor, Karl Stein, Alexander Markowitsch Ostrowski, John Edensor Littlewood, August Gutzmer, Heinrich Behnke, René Thom, Mstislaw Wsewolodowitsch Keldysch, Friedrich Moritz Hartogs, Edmund Taylor Whittaker, Hans Jacob Reissner, Erhard Schmidt, Kodaira Kunihiko, Hans Adolph Rademacher, Reinhold Remmert, Konrad Knopp, Shing-Tung Yau, Erich Rothe, Itō Kiyoshi, Robert Jentzsch, Gaston Maurice Julia, Marshall Harvey Stone, Edward N. Lorenz, Harald Bohr, Tassilo Küpper, Jesse Douglas, Peter Thullen, George Mackey, Emil Hilb, Lars Hörmander, Bernhard Baule, Erich Kähler, Andrzej Pelczar, Mark Grigorjewitsch Krein, Roy Patrick Kerr, Clifford Truesdell, Jean Bourgain, Philipp Frank, Michail Alexejewitsch Lawrentjew, Willi Jäger, Hans Hahn, Friedrich Sauvigny, Georg Nöbeling, Henri Cartan, Wilhelm Wirtinger, Olga Alexandrowna Ladyschenskaja, Adrian Constantin, Kurt Friedrichs, Edward Charles Titchmarsh, Franz Rellich, Fritz Noether, Oskar Bolza, Detlev Poguntke, Harro Heuser, Jean-Christophe Yoccoz, Frigyes Riesz, Naum Iljitsch Achijeser, Miroslav Katětov, Pierre-Louis Lions, Mark Neumark, Lars Gårding, Otto Forster, Nikolos Muschelischwili, William Timothy Gowers, Wladimir Iwanowitsch Smirnow, Joseph Kohn, Maurice René Fréchet, Juliusz Schauder, Charles Fefferman, Gregor Michailowitsch Fichtenholz, Friedrich Wilhelm Schäfke, Konrad Königsberger, Jan Mikusiński,...http://booksllc.net/?l=de ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Stefan Banach, Vladimir Vernadsky, Nikolay Bogolyubov, Nikolay Dobrokhotov, Stephen Timoshenko, Volodymyr Horbulin, Ivan Ivanovich Schmalhausen, Victor Glushkov, Borys Paton, Vladimir Filatov, Alexander Davydov, Oleksiy Onyschenko. Excerpt:Alexander Davydov (Ukrainian : ; December 26, 1912, Eupatoria - 1994, Kiev ) was a Soviet and Ukrainian physicist. Biography Davydov graduated from Moscow University in 1939. In 1963-1990 he was Director of Institute for Theoretical Physics of the Ukrainian Academy of Sciences. His main contributions were in theory of absorption , scattering and dispersion of the light in molecular crystals . He predicted the phenomenon that is known as Davydov splitting in 1948. He also worked in theory of collective excited states in spherical and non-spherical nuclei, known as Davydov-Filippov Model and Davydov-Chaban Model (1958-1960). The conception of molecular solitons to originally explained mechanism of muscle contraction of animals was applied (1973-1974). Theoretically studies the interaction of intramolecular excitations or excess electrons with autolocal breaking of the translational symmetry. These excitations are now known as Davydov's solitons (1978-1988). References (URLs online) A hyperlinked version of this chapter is at Borys Yevhenovych Paton Borys Yevhenovych Paton (Ukrainian : ) (born November 27, 1918) is the long-term chairman of the National Academy of Sciences of Ukraine . He was born in Kiev . Paton joined the National Academy of Sciences of Ukraine on November 18, 1958 and is the first person to have been awarded the title of the Hero of Ukraine . He holds a doctoral degree in technical sciences and is known for his works in electric welding . Paton's father, Yevhen Paton , was also famous for his works in electric welding. The f... ... Read more

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High Quality Content by WIKIPEDIA articles! Stefan Banach(1892-1945) was a Polish mathematician who worked in interwar Poland and in Soviet Ukraine. A self-taught mathematics prodigy, Banach was the founder of modern functional analysis and a founder of the Lwów School of Mathematics. Among his most prominent achievements was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of linear-metric space. Notable mathematical concepts named after Banach include the Banach-Tarski paradox, Hahn-Banach theorem, Banach-Steinhaus theorem, Banach-Mazur game and Banach space. ... Read more

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Kapitel: Stefan Banach, Jan Łukasiewicz, Leopold Von Sacher-Masoch, Heinrich Von Zeißberg, Viktor Dollmayr, Wojciech Rubinowicz, Leon Kozłowski, Adam Maurizio, Joseph Schatz, Rudolf Weigl, Heinrich Brunner, Franz Xaver Von Hlubek, Marian Smoluchowski, Ignacy Mościcki, Kazimierz Ajdukiewicz, Kazimierz Bartel, Leon Chwistek, Anton Rehmann, Roman Ingarden, Józef Bilczewski, Julius Wilhelm Brühl, Rudolf Kner, Wiktor Kemula, Ludwik Rydygier, Bernhard Jülg, Ignác Jan Hanuš, Ihor Ohirko, August Sauer, Kazimierz Twardowski, Ferdinand Zirkel, Eduard Herbst, Antoni Cieszyński, Belsazar Hacquet, Leopold Von Pebal, Antoni Łomnicki, Stanisław Ruziewicz. Aus Wikipedia. Nicht dargestellt. Auszug: Jan Łukasiewicz (Polish pronunciation: ) (21 December 1878 - 13 February 1956) was a Polish logician and philosopher born in Lwów (Lemberg in German), Galicia, Austria-Hungary (now Lviv, Ukraine). His work centred on analytical philosophy and mathematical logic. He thought innovatively about traditional propositional logic, the principle of non-contradiction and the law of excluded middle. He grew up in Lwów and was the only child of Paweł Łukasiewicz, a captain in the Austrian army, and Leopoldina (née Holtzer), the daughter of an Austrian civil servant. His family was Roman Catholic. He finished his gymnasium studies in philology and in 1897 went on to Lwów University (University of Lemberg) where he studied philosophy and mathematics. In philosophy he was a pupil of Kazimierz Twardowski. In 1902, he received a Doctor of Philosophy degree under the patronage of emperor Franz Joseph I of Austria who gave him a special doctor ring with diamonds. He spent three years as a private teacher, and in 1905 he received a scholarship to complete his philosophical studies at the University of Berlin and the University of Louvain in Belgium. Łukasiewicz continued studying for his habilitation qualification and in 1906 submitted his thesis to the University of...http://booksllc.net/?l=de ... Read more

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Stefan Banach, Władysław Sikorski, Tsakhiagiin Elbegdorj, Roman Shukhevych, Klemens Stefan Sielecki, Wilhelm Orlik-Rückemann, Kazimierz Bartel, Valery Korepanov, Jan Jagmin-Sadowski, Piotr Wilniewczyc, Włodzimierz Puchalski. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Wadysaw Eugeniusz Sikorski (Polish pronunciation: ; May 20, 1881 July 4, 1943) was a Polish military and political leader. He was born in Tuszów Narodowy a village in the present-day Subcarpathian Voivodeship of south-eastern Poland, which at the time was part of Austria-Hungary, one of Poland's three partitioners. Prior to World War I, he established and participated in several underground organizations that promoted the cause of Polish independence. He fought with distinction in the Polish Legions during World War I, and later in the newly created Polish Army during the Polish-Soviet War (1919 to 1921). In that war he played a prominent role in the decisive Battle of Warsaw, when Soviet forces, expecting an easy final victory, were surprised and routed by the Polish counterattack. In the early years of the Second Polish Republic, Sikorski held government posts including prime minister (1922 to 1923) and minister of military affairs (1923 to 1924). Following Józef Pisudski's May Coup (1926) and the installation of the Sanacja government, he fell out of favor with the new regime. Up until, and throughout 1939, he remained in the opposition, and wrote several books on the art of warfare and on Polish foreign relations. During World War II he became Prime Minister of the Polish Government in Exile, Commander-in-Chief of the Polish Armed Forces, and a vigorous advocate of the Polish cause in the diplomatic sphere. He supported the reestablishment of diplomatic relations between Poland and the Sovi...More: http://booksllc.net/?id=353480 ... Read more

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High Quality Content by WIKIPEDIA articles! In mathematics, the von Neumann paradox, named after John von Neumann, is the idea that one can break a planar figure such as the unit square into sets of points and subject each set to an area-preserving affine transformation such that the result is two planar figures of the same size as the original. This was proved in 1929 by John von Neumann, assuming the axiom of choice. It followed on the work of Stefan Banach and Alfred Tarski, who proved a similar paradox in three dimensional space (the Banach-Tarski paradox), but using only isometric transformations (Euclidean motions).Banach and Tarski had proved that, using isometric transformations, the result of taking apart and reassembling a two-dimensional figure would necessarily have the same area as the original. This would make creating two unit squares out of one impossible. ... Read more

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High Quality Content by WIKIPEDIA articles! John von Neumann's Universal Constructor is a self-replicating machine in a cellular automata (CA) environment. It was designed in the 1940s, without the use of a computer. The fundamental details of the machine were published in von Neumann's book Theory of Self-Reproducing Automata, completed in 1966 by Arthur W. Burks after von Neumann's death. Von Neumann's specification defined the machine as using 29 states, these states constituting means of signal carriage and logical operation, and acting upon signals represented as bit streams. A 'tape' of cells encodes the sequence of actions to be performed by the machine. ... Read more