21. Science In Poland - Famous Poles banach stefan, 1892 1945, Mathematician he founded modern functional analysisand made major contributions to the theory of topological vector spaces; he http://hum.amu.edu.pl/~zbzw/ph/sci/distra.htm

Famous Polish discoveres, travelers and scientists Please also visit page Polish-origin Nobel Prize Laureates Ajdukiewicz Kazimierz Logician, philosopher - the creator of, so called, fundamental conventionalism and semantic language theory Arctowski Henryk Globetrotter, geophysicist, geographer - expert in polar regions Banach Stefan Mathematician - he founded modern functional analysis and made major contributions to the theory of topological vector spaces; he contributed to measure theory, integration, and orthogonal series; co-author of Banach's algebra, Banach's space Banachiewicz Tadeusz Astronomer, geodesist, mathematician - creator of cracovian theory, he developed and applied chronokinematographic method for observation of Sun eclipse Bryla Stefan Construction engineer, welding pioneer - the designer of, among others, the first in Europe welded road bridge on the Sludwia River (1927) and high rise building Prudential in Warszawa (1932) Cebertowicz Romuald Adam Hydrotechnician - the creator of electro-injection method of soil solidification Cieszkowski August Philosopher, economist - the creator of, so called, philosophy of action

22. Stefan Banach - Information An online Encyclopedia with information and facts Stefan Banach Information,and a wide range of other subjects. Stefan Banach - Information. http://www.book-spot.co.uk/index.php/Stefan_Banach

Stefan Banach - Information Home Mathematical and natural sciences Applied arts and sciences Social sciences and philosophy ... pl:Stefan Banach Stefan Banach March 30 August 31 ), a Polish mathematician , one of the moving spirits of the Lvov school of mathematics in pre-war Poland (see: Lviv ). He was largely self-taught in mathematics; his genius was accidentally discovered by Hugo Steinhaus . When World War II began, Banach was President of the Polish Mathematical Society and a full professor of Lvov University . Being on good terms with Soviet mathematicians, he was allowed to hold his chair during the Soviet occupation of Lvov. The German occupation of the city in resulted in the mass murder of Polish academics. Banach survived, but the only way he could work for a living was by feeding lice with his blood in a German institute where typhoid fever research was conducted. His health undercut during the occupation, Banach died before he could be repatriated from Lvov, which was incorporated into the Soviet Union, to Poland after the war. Teoria operacji liniowych , 1932) is regarded as Banach's most influential work. He also initiated and edited the

23. Stefan Banach Stefan Banach (18921945) Matematyk. Od 1924 prof. uniwersytetu weLwowie i czlonek PAU. Od 1939 czlonek Akademii Nauk Ukr.SRR. http://www.smolek.it.pl/mata/matematycy/stefan_banach.html

Stefan Banach (1892-1945) Matematyk. Od 1924 prof. uniwersytetu we Lwowie i cz³onek PAU. Od 1939 cz³onek Akademii Nauk Ukr.SRR. Wspó³za³o¿yciel czasopisma "Studia Mathematica" i jeden z inicjatorów "Monografii Matematycznych". Banach by³ jednym z twórców analizy funkcjonalnej. Wraz ze swymi uczniami (S. Mazurem, W. Orliczem, J. Schauderem) stworzy³ szko³ê lwowsk±, która wraz ze szko³± warszawsk± wyd¼wignê³a matematykê polsk± na jedno z czo³owych miejsc w ¶wiecie. Autor monografii "Théorie des opérations linéaires "(1932), pierwszej na ¶wiecie ksi±¿ki po¶wiêconej ogólnej teorii przestrzeni liniowo-metrycznych. Powrót do listy matematyków

24. Stefan Banach - Wikipedia http://de.wikipedia.org/wiki/Stefan_Banach

Stefan Banach aus Wikipedia, der freien Wissensdatenbank Stefan Banach 30. März in Krakau 31. August in Lwów ) war ein polnischer Mathematiker . Sein Vater war Stefan Greczek (wobei dies nicht völlig gesichert ist), seine Mutter Katarzyna Banach. Er wuchs in einer Pflegefamilie auf (bei Franciszka Plowa und ihrer Tochter, Maria Puchalska). Von 1902 bis besuchte er das Vierte Gymnasium in Krakau. Nach der Matura arbeitete er in einer Krakauer Buchhandlung und studierte gleichzeitig als Autodidakt Mathematik . Zwischen 1911 und war er Student am Polytechnikum in Lwow und legte dort ein Teilexamen, das so genannte Halbdiplom, ab. Nach Ausbruch des Ersten Weltkriegs arbeitete er als Aufseher beim Straßenbau. Nach seiner Rückkehr nach Krakau verdiente er seinen Lebensunterhalt mit Nachhilfestunden; er studierte weiterhin Mathematik auf eigene Faust. Im Jahre lernte der Mathematiker Hugo Steinhaus Banach zufällig kennen und begann, sich für ihn zu interessieren. Ihre Bekanntschaft mündete in einer gemeinsamen Publikation und einer langjährigen Zusammenarbeit. Dank Steinhaus' Bemühungen erhielt Banach bis 1922 eine Assistenzstelle am Lehrstuhl für Mathematik an der Abteilung für Mechanik des Politechnikums Lwow, bei

25. Stefan Banach - Wikipedia Stefan Banach. Stefan Banach (urodzony 30 marca 1892 w Krakowie zmarl31 sierpnia 1945 we Lwowie) matematyk polski o swiatowej slawie. http://pl.wikipedia.org/wiki/Stefan_Banach

Stefan Banach Z Wikipedii, wolnej encyklopedii. Stefan Banach (urodzony 30 marca w Krakowie - zmarł 31 sierpnia we Lwowie matematyk polski o światowej sławie. Urodził się w Krakowie, jego ojcem - choć nie jest to końca pewne - był Stefan Greczek, a matkÄ Katarzyna Banach. Wychowywał się w rodzinie zastępczej (Franciszki Płowej i jej c³rki, Marii Puchalskiej). Uczęszczał do IV Gimnazjum w Krakowie (1902-1910). Po maturze pracował w księgarni krakowskiej. Matematykę studiował jako samouk. W latach zaliczył egzaminem częściowym (tzw. p³Å‚dyplom) dwa lata studi³w na Politechnice Lwowskiej Po wybuchu I wojny światowej pracował jako nadzorca przy budowie dr³g. Po powrocie do Krakowa zarabiał na życie korepetycjami. Nadal studiował sam. W prof. Hugo Steinhaus zainteresował się przypadkowo spotkanym Banachem. Spotkanie zaowocowało wsp³lnÄ publikacjÄ i wieloletniÄ wsp³Å‚pracÄ . W dzięki wstawiennictwu Steinhausa Banach otrzymał asystenturę (do ) w Katedrze Matematyki na Wydziale Mechanicznym Politechniki Lwowskiej u Łomnickiego. W doktoryzował się na Uniwersytecie Jana Kazimierza we Lwowie na podstawie tezy: Sur les op©rations dans les ensembles abstraits et leur application aux ©quations int©grales ("Fundamenta Mathematicae", III, 1922), w kt³rej zawarł podstawowe twierdzenia analizy funkcjonalnej, nowej dyscypliny matematyki.

26. Banach Stefan Banach. Born 30 March 1892 in Kraków, AustriaHungary (now Poland) Died31 Aug 1945 in Lvov, Ukraine. Stefan Banach went to school in Kraków. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Bnch.htm

Stefan Banach Born: Died: 31 Aug 1945 in Lvov, Ukraine Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Stefan Banach Banach founded modern functional analysis and made major contributions to the theory of topological vector spaces. In addition, he contributed to measure theory, integration, and orthogonal series. In his dissertation, written in Lvov in 1920, he defined axiomatically what today is called a Banach space. The name 'Banach space' was coined by . Banach algebras were also named after him. A Banach space is a real or complex normed vector space that is complete as a metric space under the metric induced by the norm. The completeness is important as this means that Cauchy sequences in Banach spaces converge. A Banach algebra is a Banach space where the norm satisfies Many important theorems are named after Banach. There is the Hahn -Banach theorem, the Banach- Steinhaus theorem, the Banach-Alaoglu theorem, the Banach fixed point theorem and the Banach- Tarski paradoxical decomposition of a ball. His open mapping of 1929 used set-theoretic concepts introduced by

27. Stefan Banach Stefan Banach. Born 30 March 1892 in Kraków Lvov , (now Ukraine ).Stefan Banach ‘s father was Stefan Greczek. The first thing http://umm.kou.edu.tr/math/Stefan Banach.htm

Stefan Banach Born: 30 March 1892 in Kraków Austria-Hungary (now Poland Died: 31 Aug 1945 in Lvov , (now Ukraine Stefan Banach ‘s father was Stefan Greczek. The first thing to notice is that Banach was not his father's surname, but Banach was given his father's first name. Stefan Greczek was a tax official who was not married to Banach's mother who vanished from the scene after Stefan was baptised, when he was only four days old, and nothing more is known of her. The name given as Stefan's mother on his birth certificate is Katarzyna Banach. She is thought by some to have been the servant of Stefan's mother, while others claim that she was a laundress who took care of Stefan when he was very young. In later life Banach tried to find out who his mother was but his father refused to say anything except that he had been sworn to secrecy over her identity. Stefan Greczek was born in a small village called Ostrowsko, some 50 km south of Kraków. It was to Ostrowsko, to his grandmother's home, that Banach was taken after his baptism. However, when Banach's grandmother took ill, Stefan Greczek arranged for his son to be brought up by Franciszka Plowa who lived in Kraków with her daughter Maria. Although Banach never went back to live with his grandmother, he did visit her frequently as he grew up. Maria's guardian was a French intellectual Juliusz Mien and he quickly recognised the talents that Banach had. Mien taught the young boy to speak French and in general gave him an appreciation for education.

28. Banach Stefan Banach (18921945) Teorien for Banachrom skaut for alvor fart dåStefan Banach s bok Théorie des opérations linéaires kom i 1932. http://home.hia.no/~olavn/banach.htm

Litt om kva Banachteori er.. Stefan Banach Det to-dimensjonale planet er modellen for alle vektorrom 1) null og berre null har lengde null 2) gangar du ein vektor med eit tal, gangast lengda med same talet 3) omvegar alltid er minst like lange som rett fram (trekantulikskapen), norm komplett Abels Eit Banachrom er eit komplett, normert vektorrom Hilbert Korleis omgrepet Banachrom oppsto kom i 1932. Du kan lese om Stefan Banach Stanislaw Mazur Korleis Banach blei oppdaga Ein dag i 1917 gjekk Hugo Steinhaus Henri Lebesgue Tilbake til Olav Nygaard si heimeside

29. New Page 1 banach stefan, urodzil sie w 1892, zmarl w 1945, matematyk, twórca podstaw analizyfunkcjonalnej, wspóltwórca lwowskiej szkoly matematycznej, jeden z http://askgruchala.webpark.pl/matematyka/matematycy/banach.htm

Banach Teorja operacyj, t. l Operacje linjowe Theorie des operations lineaires (1932). Z nazwiskiem Banacha wi±¿e siê paradoks Banacha—Tarskiego, wg którego kulê mo¿na rozbiæ na kilka niemierzalnych (a wiêc bardzo dziwacznych) czê¶ci, z których daje siê z³o¿yæ dwie takie same kule. Banach jest autorem 58 prac, które publikowa³ sam lub ze wspó³pracownikami i uczniami. Wokó³ Banacha i Steinhausa powsta³ silny o¶rodek badawczy, zwany lwowsk± szko³± matematyczn±, prowadz±cy badania w zakresie analizy funkcjonalnej. W okresie miêdzywojennym by³ to najsilniejszy o¶rodek badawczy w tej dziedzinie na ¶wiecie; od 1929 wydawa³ w³asne czasopismo specjalistyczne o miêdzynarodowym zasiêgu „Studia Mathematica", publikuj±ce prace z zakresu analizy funkcjonalnej. Ulubionym miejscem pracy Banacha by³a Kawiarnia Szkocka, znane miejsce spotkañ matematyków we Lwowie. Ciekawsze z problemów matematycznych dyskutowanych w czasie takich spotkañ zapisywano w specjalnym zeszycie, przechowywanym w Kawiarni. Tak powsta³a s³ynna -» Ksiêga Szkocka.

30. Banach, Stefan banach, stefan. Homepage. email webmaster@euler.ciens.ucv.ve ©. 2000 Mathematics School. Science Faculty, Central University of Venezuela. , banach, stefan. stefan banach, b. Mar. 30, 1892, d http://euler.ciens.ucv.ve/English/mathematics/banach.html

Banach, Stefan Stefan Banach, b. Mar. 30, 1892, d. Aug. 31, 1945, was a Polish mathematician who helped found modern functional analysis and made major contributions to the theory of topological vector spaces. In addition, he contributed to measure theory, integration, and orthogonal SERIES. Banach lectured in mathematics at the Institute of Technology in Lvov and eventually became a professor at the University of Lvov. His best-known work is the Theorie des operations lineaires (Theory of Linear Operations, 1932). Banach algebra and Banach spaces, the latter an important class of vector spaces, were named after him. Author: H. Howard Frisinger. Homepage e-mail: webmaster@euler.ciens.ucv.ve © 2000 Mathematics School Science Faculty, Central University of Venezuela

31. Banach, Stefan. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. banach, stefan. (st´fän bä´näkh) (KEY) , 1892–1945, Polish mathematician. http://www.bartleby.com/65/ba/Banach-S.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Banach, Stefan

32. Stefan Banach International Mathematical Center stefan banach. 00956 Warszawa 10, Poland. ul. niadeckich 8. P.O.Box 21. Office room 426. phone (48-22) 522 82 32, 628 01 92. fax (48-22) 622 57 50, 629 39 97. How to get to banach Center and some http://www.impan.gov.pl/BC

33. Banach, Stefan encyclopediaEncyclopedia banach, stefan, ste fän bä näkh PronunciationKey. banach, stefan , 1892–1945, Polish mathematician. http://www.infoplease.com/cgi-bin/id/A0805993.hmtl

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Banach, Stefan Pronunciation Key Banach, Stefan , Polish mathematician. He was educated at the Institute of Technology in Lviv; his doctoral thesis laid the foundations of modern functional analysis, which he continued to work at throughout his life. He also made fundamental contributions to general topology, set theory, the theory of measure and integration, and the general theory of linear spaces, or vector spaces, e.g., (1932). He introduced and developed the concept of complete normed linear spaces, now called Banach spaces. The Columbia Electronic Encyclopedia, Banaba banana Related content from HighBeam Research on: Stefan Banach A general semantics glossary.(Glossary) (ETC.: A Review of General Semantics) Making MathematicsThe Coffee Connection.

34. Stefan Banach --  Encyclopædia Britannica Subscribe. My Account. All Britannica.com. Encyclopædia Britannica. Britannica Student Encyclopedia. Britannica Concise Encyclopedia. Websites. Video and Media. Dictionary. Thesaurus. Not sure of the http://www.britannica.com/eb/article?eu=12246

35. Banach Space Bulletin Board Welcome to the banach Space Bulletin Board. This server has links to preprints of papers in banach space theory Short biography of stefan banach. Biography of John Rainwater. http://www.math.okstate.edu/~alspach/banach

The Banach Space Bulletin Board Welcome to the Banach Space Bulletin Board. This server has links to preprints of papers in Banach space theory and related fields and archives of messages that have been sent to all subscribers to the associated list. In addition, the Recent section lists the most recent papers that have been added to the archive. The archive itself is a subset of the functional analysis section of the math archive at Los Alamos. The list has recently switched software from majordomo to mailman. This may result in some temporary problems and some adjustments for users. Electronic mail access and the Banach List Most Recent Preprints Address Book Messages Messages from January 1, to date. Messages from The archive The mathematics archive at Los Alamos A more friendly interface to the archive at Los Alamos. Retrieving files from the archive by using a web browser. Using email to access the archive. Instructions for submitting files. If you are outside of the United States, you can use a mirror site.

36. Stefan Banach International Mathematical Center stefan banach International Mathematical Center, Warsaw, Poland. http://www.impan.gov.pl/BC/index.html

37. Banach Biography of stefan banach (18921945) stefan banach's father was stefan Greczek. The first thing to notice is that banach was not his father's surname, but banach was given http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Banach.html

Stefan Banach Born: Died: 31 Aug 1945 in Lvov, (now Ukraine) Click the picture above to see three larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Stefan Banach 's father was Stefan Greczek. The first thing to notice is that Banach was not his father's surname, but Banach was given his father's first name. Stefan Greczek was a tax official who was not married to Banach's mother who vanished from the scene after Stefan was baptised, when he was only four days old, and nothing more is known of her. The name given as Stefan's mother on his birth certificate is Katarzyna Banach. She is thought by some to have been the servant of Stefan's mother, while others claim that she was a laundress who took care of Stefan when he was very young. In later life Banach tried to find out who his mother was but his father refused to say anything except that he had been sworn to secrecy over her identity. Gymnasium During his first few years at the Gymnasium Banach achieved first class grades with mathematics and natural sciences being his best subjects. A fellow school pupil recalled Banach at this period in his life (see [3]):- Banach was pleasant in dealings with his colleagues, but outside of mathematics he was not interested in anything. If he spoke at all, he would speak very rapidly, as rapidly as he thought mathematically. ... Wilkosz was a similar phenomenon. Between the two of them there was no mathematical problem that they could not speedily tackle. Also, while Banach was faster in mathematical problems, Wilkosz was phenomenally fast in solving problems in physics, which were of no interest to Banach.

38. Banach Center Publications Proceedings of selected conferences and semesters held at the International stefan banach Mathematical Center. Contents, abstracts, some text from 1998. http://www.impan.gov.pl/PUBL/publ/publ_bc/main/index.html

Last volume Archive Subscription Info Last volume Archive Subscription Info ... webmaster

39. Alfred Tarski Centenary Conference stefan banach International Mathematical Center, Warsaw, Poland; 28 May 1 June 2001. http://www.mimuw.edu.pl/TARSKI/

Alfred Tarski Centenary Conference May 28June 1, 2001 Place Stefan Banach International Mathematical Center, Warsaw. Click here for tourist information. about Warsaw. Click here for a view of the conference venues Photos standard kingsize In celebration of the centenary of his birth, the Tarski Centenary Conference will focus on his contributions to logic, the foundations of mathematics, philosophy, as well as on the continuing influence of his work. Opening : Monday 28 May, 9:00 h, Mathematical Institute, 8 Sniadeckich street, room 403, 4th floor List of invited lectures Plan of lectures Attending the sessions of the conference does not require earlier registration. Registration desk will be open on Sunday 27 May , since 2:30 p.m. to 8:00 p.m. in the Banach Center , 25 Mokotowska street, and on Monday 28 May , since 8:30 a.m. to 5:00 p.m. in the Mathematical Institute of the Polish Academy of Science, 8 Sniadeckich street, 4th floor. Organizing Committee: Zofia Adamowicz (Mathematical Institute, Polish Academy of Science), Andrzej Grzegorczyk (Polish Academy of Science, the head of the Committee of Philosophy)

40. Banach, Stefan -- From Eric Weisstein's World Of Scientific Biography com Other Wolfram Sites. Alphabetical Index. About this site. B v.banach, stefan, © Eric W. Weisstein. mathematica, calculationcenter. http://scienceworld.wolfram.com/biography/Banach.html

B Banach, Stefan

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