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         Urysohn Pavel:     more detail
  1. Russian Mathematician Introduction: Pavel Samuilovich Urysohn, Vladimir Steklov, Solomon Mikhlin, Alexander Beilinson, Andrei Okounkov
  2. Moscow State University Faculty: Andrey Kolmogorov, Mikhail Lomonosov, Vladimir Arnold, Pavel Samuilovich Urysohn, Lev Landau, Igor Tamm
  3. People From Odessa: Vladimir Arnold, George Gamow, Irina Krush, Anna Akhmatova, Pavel Samuilovich Urysohn, Tatiana Gutsu, Sviatoslav Richter

21. Pavel Urysohn Université Montpellier II
Translate this page pavel urysohn (1898-1924). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse
http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1922

22. 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

23. 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
Biography Base Home Link To Us Search Biographies: Browse Biographies A B C D ... Z Paul Samuilovich Urysohn Biography Paul Samuilovich Urysohn
His is also commemorated in the term Menger-Urysohn dimension.
Pavel Urysohn studied in University of Moscow from 1915 to 1921 and worked there as an assistant professor from 1921 to 1924, when he drowned while swimming off the coast of Brittany, France. Paul Samuilovich Urysohn Resources Contact Us Sitemap
This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article Paul Samuilovich Urysohn

24. 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/
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

25. In The Neighborhood Of Mathematical Space (an Interview With Alexander V. Arhang
these included pavel Sergeevich Alexandroff (AV Arhangel skii s mentor), pavelSamuelovich urysohn, and Andre Nicholaevich Tychonoff (founders of the
http://at.yorku.ca/t/o/p/c/02.dir/4.htm
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In The Neighborhood of Mathematical Space
(an interview with Alexander V. Arhangelskii),
part 4,
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.

26. 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
MAT 530 Topology
Fall 2004
There will be more on this page soon...
(Last Updated: November 29, 2004) Homeworks:
(please use letter size paper and black ink, write clearly; if convenient, send the homeworks to Kwan Kiu Yau electronically)
ps
dvi pdf ] due on Monday, September 20
ps
dvi pdf ] due on Wednesday, September 29
ps
dvi pdf ] due on Friday, October 8
ps
dvi pdf ] due on Friday, October 15
ps
dvi pdf ] due on Friday, November 5
ps
dvi pdf ] due on Friday, November 12
ps
dvi pdf ] due on Monday, November 22 ps dvi pdf ] due on Monday, December 6 (for pictures, please consult the paper version) What I have already tried to explain in class Topology links Schedule : MWF 11:45 - 12:40 Instructor: Vladlen Timorin e-mail: timorin@math Office: 4-102 Phone: 2-8265 Office hours: WF 9-11 or by appointment Grader: Kwan Kiu Yau e-mail: kkyau@math Textbook: Munkres Topology , 2nd edition, Prentice Hall 1999 Homeworks will be assigned approximately weekly. They are due the following week. There will be a midterm and a final exam. Grading policy: 30% homeworks, 20% midterm, 50% final exam.

27. 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
The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search
BSHM Abstracts
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 Bayes’s 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)

28. 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
Mathematicians - U
George Uhlenbeck
Karen Uhlenbeck
Stanislaw Ulam
Beg Ulugh
Abu'l al Uqlidisi
Francis Upton
Pavel Urysohn Send mail to webmaster@famousmathematician.com with questions or comments about this web site.
www.famousmathematician.com

Last modified: January 20, 2003

29. 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
Andrei Nikolaevich Kolmogorov
V. M. Tihomirov
Department of Mathematics,
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.

30. 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
Math 418
Spring 2001 Instructor
Ron Freiwald
Office 203A Cupples I
Office Hours Tu-Th 2:45-3:30, W 1:30-2:30, and by appointment
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:

31. 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

32. 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/
MIKHAIL A. SHUBIN
CURRICULUM VITAE
Updated January 2004
EDUCATION AND DEGREES
Doctor of Science in Physics and Mathematics, Leningrad branch of Steklov Mathematical Institute of Academy of Sciences of USSR (LOMI), 1981.
Ph.D. in Mathematics (Differential Equations), Department of Mech. and Math. Moscow State University, 1969.
Master degree in Mathematics, Department of Mech. and Math. Moscow State University, 1966.
EMPLOYMENT HISTORY
Department of Mathematics, Northeastern University, 1992 -
Department of Mathematics M.I.T., 1991 - 1992
Institute of New Technologies (Moscow), 1990 - 1991
Department of Mechanics and and Mathematics, Moscow State University, 1969 - 1990
HONORS
Member of Russian Academy of Natural Sciences (elected in 1996).
Matthews Distinguished University Professor, Northeastern University (from 2001).
GRANTS
  • 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).
  • 33. 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
    Atlas Dictionary Encyclopedia Geography ...
    Add "Today in History" or "Today's Birthdays" to Your Site - it's Easy!

    Web brainyhistory.com August 17 Deaths in History
    August 17, 2004
    Carl Mydans, photographer, Life, dies at 97
    August 17, 1996
    Edward Digby Baltzell, Ivy League sociologist, dies at 80
    August 17, 1995
    David Warrilow, actor (Simon, Radio Days, Barton Fink), dies at 60
    August 17, 1995
    Howard Koch, screenwriter, dies at 92
    August 17, 1995
    Marjorie Sykes, peace campaigner, dies at 90
    August 17, 1995
    William Strethan "Wild Bill" Davis, musician, dies at 76
    August 17, 1994
    Elias Canetti, buried next to James Joyce
    August 17, 1994
    Joseph Paul Jack Sharkey Zukauskas, boxer, dies at 91 August 17, 1993 Max de Metz, Dutch publisher/translator/interpreter, dies at 72 August 17, 1993 Max de Metz, Dutch publisher/translator, dies at 72 August 17, 1993 Robert C Maynard, CEO (Oakland Tribune), dies at 56 August 17, 1992 Andre de Villiers, South African, murdered August 17, 1992 Barbara Morgan, photographer (Martha Graham), dies at 92 August 17, 1992

    34. 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
    Atlas Dictionary Encyclopedia Geography ...
    Add "Today in History" or "Today's Birthdays" to Your Site - it's Easy!

    Web brainyhistory.com Russian
    Russian Encyclopedia Links
    Russian Quotations Russian Definition
    Russian Mir space station is crashed into the Pacific during a controlled re-entry
    ...
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    35. 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=

    36. 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

    37. 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
    Historie matematiky
    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 množství historických poznámek - Zlatý øez Èlánky o historii matematiky z èasopisu Natura

    38. 3 Février
    1898 pavel Samuilovich urysohn, mathématicien ukrainien
    http://www.guajara.com/wiki/fr/wikipedia/3/3_/3_fevrier.html
    3 février
    Le 3 février est le 34 e jour de l'année du calendrier grégorien Table of contents showTocToggle("show","hide") 1 Événements
    2 Naissances

    3 Décès
    Événements
    • : début du procès des survivants de la Bande à Bonnot : Voyage inaugural du paquebot France : Un avion militaire américain coupe le cable d'un téléphérique à Cavalese dans les Dolomites : 20 morts
    Naissances
    • Gaston Maurice Julia , mathématicien français, précurseur des fractales : Pavel Samuilovich Urysohn, mathématicien ukrainien : Hélène Patou, écrivain, militante anarchiste et néo-malthusienne française : Arne Carl-August Beurling, mathématicien suédois Simone Weil , philosophe française un temps combattante anarchiste : Jacques Soustelle, anthropologue et homme politique français : Henning Mankell, écrivain suédois
    Décès
    • Johann Gutenberg , imprimeur allemand : Tommaso Ceva, professeur et mathématicien italien Jean-Baptiste Biot , physicien français : Adam Wilhelm Siegmund Guenther, mathématicien allemand Oliver Heaviside , physicien anglais : Agner Krarup Erlang, mathématicien danois

    39. 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
    Chronological List of Mathematicians
    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
    Table of Contents
    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
    List of Mathematicians
      1700 B.C.E.
    • Ahmes (c. 1650 B.C.E.) *MT
      700 B.C.E.
    • Baudhayana (c. 700)
      600 B.C.E.
    • 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)
      500 B.C.E.
    • 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

    40. Významní Matematikové V Historii (19) Zpracovali Jirí Svršek
    pavel Samuilovic urysohn narozen 3. února 1898 v Odesse, Ukrajina pavel urysohnzacal na Univerzite v Moskve studovat fyziku.
    http://www.gymtc.cz/natura/2003/8/20030803.html
    Významní matematikové v historii (19)
    zpracovali: Jiøí Svršek, Roman Bartoš Literatura: Turnbull University of St. Andrews.
    Alfred Tarski

    narozen: 14. ledna 1902 ve Varšavì, Ruské impérium (nyní Polsko)
    zemøel: 26. øíjna 1983 v Berkeley, California, USA
    Alfred Tarski významnì pøispìl k rozvoji øady oblastí moderní matematiky, vèetnì metamatematiky (oblasti matematické logiky), teorie množin, teorie míry a Lebesgueova integrálu, teorie modelování a obecné algebry. Tarski pøednášel na Univerzitì ve Varšavì, 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 až 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 hlubšímu 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 než deset knih z rùzných oblastí matematiky a jeho práce ovlivnila øadu mladých matematikù. Mezi jeho práce patøí "

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