Pavel Urysohn Université Montpellier II Translate this page pavel urysohn (1898-1924). Cette image et la biographie complète en anglaisrésident sur le site de luniversité de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1922
Pavel Aleksandrov Université Montpellier II pavel Aleksandrov pavel urysohn Pedro Nunes Pelageia Polubarinova Kochina Penrose http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=746
Paul Samuilovich Urysohn Biography pavel urysohn studied in University of Moscow from 1915 to 1921 and worked thereas an assistant professor from 1921 to 1924, when he drowned while swimming http://www.biographybase.com/biography/Urysohn_Paul_Samuilovich.html
Pavel Ptak son pavel Pták, born 1971). Home address, K lucinám 13, 13000 Praha 3, ``Tietze-urysohn theorem for functors (Czech). RNDr. Dissertation, http://math.feld.cvut.cz/ptak/
Extractions: Pavel Pták , curriculum vitae Personal data: Pavel P t á k , Prof., RNDr., DrSc. born June 17th, 1947, married (wife ing. Helena Ptáková, born 1946; son Pavel Pták, born 1971) Home address: K lucinám 13, 13000 - Praha 3, Czech Republic Work address: Czech Technical University, Faculty of Electrical Engineering, Department of Mathematics, Technická 2, 16627 - Prague 6, Czech Republik e-mail address: ptak@math.feld.cvut.cz fax: (00422)3119238, phone:(00422)24353565 Education: The Charles University of Prague, Faculty of Mathematics and Physics, specialization - mathematical analysis RNDr. degree in the theory of categories (thesis: The generalized algebraic categories, Charles University) CSc. degree (= PhD.) in topology (thesis: Discreteness in uniform spaces, Charles University) Professional career: Lecturer and Senior Lecturer at The Czech Technical University of Prague-El. Eng. Docent = Associate Professor (ibid) Habilitation (thesis: Quantum logics, Czech Technical University) DrSc. in algebra (thesis: States on orthostructures and the axiomatics of quantum theories
Extractions: by Karen Shenfeld In his book Mathematical Thought from Ancient to Modern Times, American mathematician Morris Kline notes that no branch of mathematics, or even a major result, has arisen from the work of one man; at best, some decisive step may be credited to a single individual. The cumulative nature of the development of mathematics is especially evident in the history of non-Euclidean geometry. A complete account, such as Robert Bonola's Non-Euclidean Geometry, would have to consider the accomplishments of Gerolamo Saccheri (1667-1733), Georg S. Klugel (1739-1812), Heinrich Lambert (1728-1777), Ferdinand Karl Schweikart (1780-1859), and Carl Friedrich Gauss (1777-1855). By the age of 15, Gauss had apparently grasped the idea that there could be invented a logically consistent geometry that was different from Euclid's. He began work on the creation of such a geometry around 1813, and there is evidence that he was successful. But because he never published any fully developed mathematical exposition of his work, historians of mathematics do not credit him as the discoverer of non-Euclidean geometry. That honour is usually reserved for two mathematicians who independently achieved results about the same time: Janos Bolyai and N.I. Lobacevskii. There is some indication that Bolyai, a Hungarian, had realized his ideas on non-Euclidean geometry by 1825. In a letter to his father, the mathematician Wolfgang Farkas Bolyai, dated November 23, 1823, he wrote, "I have made such wonderful discoveries that I myself am lost in astonishment." He did not, however, publish his results - encapsulated in a 26-page paper entitled "The Science of Absolute Space" - until 1832. The first mathematician to publish a definitive work on non-Euclidean geometry was Nikolai Ivanovich Lobacevskii. His paper, "On the Foundations of Geometry," appeared in the Journal of the University of Kazan in 1829. He continued to develop and propagate his ideas in a series of papers, culminating in the "Pangeometrie" (1855), which he dictated as a blind old man who still retained his energy and strength of mind. He was, without doubt, Russia's first great mathematician.
Topology MAT 530 The urysohn lemma states that for a normal topological space X and two disjointclosed subsets A Andrei Nikolaevich Tikhonov pavel Samuilovich urysohn http://www.math.sunysb.edu/~timorin/mat530.html
BSHM: Abstracts -- D with its fundamental problems, and after a break from 1913 to 1923 he returnedto topology under the influence of a much younger man, pavel urysohn. http://www.dcs.warwick.ac.uk/bshm/abstracts/D.html
Extractions: The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search A B C D ... Z These listings contain all abstracts that have appeared in BSHM Newsletters up to Newsletter 46. BSHM Abstracts - D Dadic, Zarko, The earliest geometrical works of Marin Getaldic, in R. Calinger (ed), Vita mathematica: historical research and integration with teaching , Washington: MAA 1996, 115-123 Institutional patterns developed during WW2 ledto the rise of new fields in applied mathematics. Established divisions and hierarchies underwent upheavals. A different persona emerged for the mathematician, exemplified by John von Neumann. Attempts to institutionalise applied mathematics in the US were resisted, though, and the subject remained marginalised in the international mathematical community until the 1970s. Dale, A. I. Thomas Bayess work on infinite series, Historia mathematica Apart from his published letter on the divergence of the series for log z!, Bayes left unpublished material on infinite series, here examined and related to the published work. The series received extensive investigation in a notebook; this investigation perhaps made Bayes aware of the divergence of the series for log z! Dalen, Dirk van, Luitzen Egbertus Jan Brouwer, I M James (ed)
Famous Mathematicians With AU Famous Mathematician. Mathematicians U. George Uhlenbeck Karen UhlenbeckStanislaw Ulam Beg Ulugh Abu l al Uqlidisi Francis Upton pavel urysohn http://www.famousmathematician.com/az/mathematician_U.htm
Êîëìîãîðîâ Àíäðåé Íèêîëàåâè÷ pavel Sergeevich Alexandrov and pavel Samuilovich urysohn, who would in the urysohn suggested to Andrei Nikolaevich that he should be his student. http://www.kolmogorov.pms.ru/tikhomirov-andrey_nikolaevich_kolmogorov.html
Extractions: Moscow State University, 117234 Moscow, Russia On the 20th of October 1987 one of the greatest scholars of our time, Andrei Nikolaevich Kolmogorov, passed away. A. N. Kolmogorov was born in 1903. His mother died in childbirth, his father did not take part in his upbringing, but in his childhood Kolmogorov was surrounded by love, care and attention. His mother's sister saw to his education and his early childhood was passed at her father's estate, his grandfather, a former big landowner. Those surrounding the boy tried to instill in him a love of knowledge, books and nature. 'I discovered the pleasure of mathematical discoveries early, at the age of five or six. I noticed the relations etc.' At home, where the boy grew up, his relatives organized a small school in the spirit of the new pedagogical ideas of that time. They 'published' a journal, 'Spring Swallows', in which the five year old boy 'oversaw' the mathematical section. He published his discovery in this journal. When the boy turned six years old, he moved to Moscow with his aunt. He was accepted into a Moscow gymnasium considered one of the most progressive of that time. The gymnasium was organized by a group of intelligentsia with a radical bent. The fact that along with normal studies many interesting pedagogical experiments were conducted differentiated it from most of the gymnasia of the time.
418 Syllabus pavel Alexandroff Andrei Tychonoff Paul urysohn Heinrich Tietze Ernst Zermelo Max Zorn Julius Konig Richard Dedekind http://www.artsci.wustl.edu/~freiwald/418Sp01.html
Extractions: Phone Text General Topology , Steven Willard (out of print; I'll have loaner copies available for everyone.) There are a number of good books available but Willard is the closest to the way I want to handle the material. In Math 417 we covered most of the material in Chapters 1,2,4,5,6 of Kaplansky's Set Theory and Metric Spaces . Topics we skipped will be covered in Math 418. We have also covered Sections 1.1-3.7, as well as some material from Chapter 7 of Willard's text. You should probably quickly read Sec. 1.1-3.7 of Willard, to warm up and to get used to the book. Topics for Math 418 include connectedness, products and quotients, embedding theorems, separation axioms, some of the major classical theorems of general topology (for example, Urysohn's Lemma, Tietze's Extension Theorem, and the Tychonoff Product Theorem), and some additional set theory (ordinal numbers and transfinite methods such as transfinite induction and Zorn's Lemma), and compactifications. If time permits, we may also do a brief look at some "nonstandard" analysis (theory of infinitesimals) as an interesting "application" of set theoretic methods. Exams As in Math 417, there will be the equivalent of four exams:
À§´ëÇѼöÇÐÀÚ ¸ñ·Ï urysohn, pavel Samuilovich urysohnBorn 3 Feb 1898 in Odessa, Ukraine Died 17 Aug 1924 in Batz, France http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=U
Res (with F.Palmeira) pavel Samuilovich urysohn. The Mathematical Intelligencer,vol.12 (1990), no.4, 39. Eigenfunctions and spectra of elliptic operators on http://mystic.math.neu.edu/shubin/
Extractions: Matthews Distinguished University Professor, Northeastern University (from 2001). DMS-0107796, 04/01/2001 - 03/31/2004, National Science Foundation DMS-9706038, 07/01/1997 - 06/30/2000, National Science Foundation. BSF-94-00299, 09/01/95 - 09/01/98, USA - Israel Binational Science Foundation, joint with Michael Farber (Tel Aviv University, Israel) and Jerome Levine (Brandeis University).
August 17 Deaths In History August 17, 1924 pavel S Paul urysohn, Russian mathematician, drowns at 26 August17, 1920 Ray Chapman, hit in the head by Yanks Carl Mays pitch, dies http://www.brainyhistory.com/daysdeath/death_august_17.html
Russian 1924 pavel S Paul urysohn, Russian mathematician, drowns at 26 1924 Bulat SOkudzjava, Russian author, Student! 1924 Lev N Lunts, Russian writer (Outside http://www.brainyhistory.com/topics/r/russian.html
MathBirthdays - Thursday, February 3 Tuesday Wednesday Thursday Friday Saturday ». 1893 Gaston MauriceJulia. 1898 pavel Samuilovich urysohn. 1905 Arne CarlAugust Beurling http://educationaltechnology.ca/dan/calendars/day.php?cal=mathBirthdays&getdate=
MathBirthdays - February 2005 All day event, 1898 pavel Samuilovich urysohn mathBirthdays. Thu, Feb 3 All dayevent, 1905 Arne CarlAugust Beurling mathBirthdays. Fri, Feb 4 http://educationaltechnology.ca/dan/calendars/month.php?cal=mathBirthdays&getdat
Matematické Texty - Historie Matematiky pavel Samuilovic urysohn. Abraham Wald. Hermann Klaus Hugo Weyl. Anna JohnsonPell Wheeler. Významní matematikové v historii. (20) Matematikové 20. století http://home.pf.jcu.cz/~novakp08/Matematika/Historie.htm
Extractions: První èeské stránky vìnované historii matematiky - internetový rozcestník Pavel Novák - Historie matematiky od pravìku po 19. století. Historie matematiky na Olomoucké universitì Stránka vìnovaná èeskému matematikovi 20. století - Karel Rychlík Iveta Jírovská - diplomová práce, která obsahuje velké mnoství historických poznámek - Zlatý øez Èlánky o historii matematiky z èasopisu Natura Z historie matematiky a fyziky. (1) Podle knihy dr. Jiøího Mrázka a materiálù Turnbullské univerzity v St. Andrews ve Velké Británii zpracoval: Jiøí Svrek. Matematik, fyzik a popularizátor dr. Jiøí Mrázek. Matematika ve starovìku. Matematika od støedovìku do 19. století. Trigonometrické funkce. Z historie matematiky a fyziky. (2) Historie èísla pí. Kvadratické, kubické a bikvadratické rovnice. Vznik matematické analýzy. Prvoèísla. Fermatova poslední vìta. Z historie matematiky a fyziky (3) Problém ètyø barev. Vývoj teorie grup. Poèátky teorie mnoin. Abstraktní lineární prostory. Z historie matematiky a fyziky. (4)
3 Février 1898 pavel Samuilovich urysohn, mathématicien ukrainien http://www.guajara.com/wiki/fr/wikipedia/3/3_/3_fevrier.html
History Of Mathematics: Chronology Of Mathematicians pavel Samuilovich urysohn (18981924) *MT; Emil Artin (1898-1962) *SB *MT;Raphaël Salem (1898-1963) *SB; Philip Franklin (1898-1965) *MT http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html
Extractions: Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below Ahmes (c. 1650 B.C.E.) *MT Baudhayana (c. 700) Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB
Extractions: zemøel: 26. øíjna 1983 v Berkeley, California, USA Alfred Tarski významnì pøispìl k rozvoji øady oblastí moderní matematiky, vèetnì metamatematiky (oblasti matematické logiky), teorie mnoin, teorie míry a Lebesgueova integrálu, teorie modelování a obecné algebry. Tarski pøednáel na Univerzitì ve Varavì, na Harvardské univerzitì a v roce 1942 se stal èlenem Kalifornské univerzity v Berkeley. V roce 1949 byl jmenován profesorem matematiky a v letech 1958 a 1960 byl výzkumným profesorem na Millerovì institutu základního výzkumu ve vìdì (the Miller Institute of Basic Research in Science) Pomocí sémantické metody, kterou Tarski vyvinul, byly formální vìdecké jazyky podrobeny hlubímu studiu. Tarski se zabýval teorií modelování, matematickými problémy rozhodování a obecnou algebrou. Vypracoval axiomy pro "logické dùsledky", zabýval se deduktivními systémy, algebrou logiky a teorií definovatelnosti. Tarski napsal více ne deset knih z rùzných oblastí matematiky a jeho práce ovlivnila øadu mladých matematikù. Mezi jeho práce patøí "
