41. History Of Mathematics: Chronology Of Mathematicians A list of all of the important mathematicians working in a given century.Category Science Math Mathematicians Directories...... 18971978). pavel Samuilovich urysohn (1898-1924) *MT; Emil Artin (1898-1962)*SB *MT; Raphaël Salem (1898-1963) *SB; Philip Franklin 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

42. Untitled koule. pavel Samuilovic urysohn metrizovatelnost topologickýchprostoru, teorie rozmeru. Abraham Wald - metrické prostory. http://natura.baf.cz/natura/2002/12/20021203.html

Významní matematikové v historii (11) zpracovali: Jiøí Svršek, Roman Bartoš Literatura: Turnbull University of St. Andrews. Thomas Jan Stieltjes narozen: 29. prosince 1856 ve Zwolle, Holandsko zemøel: 31. prosince 1894 v Toulouse, Francie Thomas Stieltjes zaèal studovat v roce 1873 na Polytechnické škole v Delftu, ale svá studentská léta strávil samostudiem prací Gausse a Jacobiho, místo aby navštìvoval pøedepsané pøednášky. Proto u zkoušek neuspìl. Když se mu nepodaøilo složit zkoušky ani v roce 1875, ani v roce 1876, zasáhl jeho otec a pøimluvil se u øeditele Leidenské hvìzdárny, který byl jeho pøítelem. Díky tomu se Thomas stal v roce 1877 asistentem Leidenské observatoøe a zaèal si v roce 1882 dopisovat s Hermitem. Celý svùj život Stieltjes vìnoval matematice. V roce 1883, nìkolik mìsícù poté, co se oženil, odešel z místa v observatoøi a zaèal se vìnovat matematickému výzkumu. V lednu 1884 Stieltjes dostal nabídku na místo profesora matematické analýzy na Univerzitì v Groningenu, kterou pøijal. Bohužel, nakonec však jmenován nebyl, protože nemìl dostateènou kvalifikaci. Díky Hermiteovì pomoci ale Univerzita v Leidenu v èervnu 1884 nabídla Stieltjesovi èestný diplom z matematiky a astronomie. V roce 1885 Stieltjes odešel se svojí rodinou do Paøíže a v roce 1889 byl jmenován na místo profesora diferenciálního a integrálního poètu na Univerzitì v Toulouse.

43. No Title 183. 99. (with F.Palmeira) pavel Samuilovich urysohn. The MathematicalIntelligencer, vol.12 (1990), no.4, 39. 100. Eigenfunctions http://mystic.math.neu.edu/shubin/

MIKHAIL A. SHUBIN CURRICULUM VITAE EDUCATION AND DEGREES EMPLOYMENT HISTORY HONORS GRANTS ... BRIEF SUMMARY OF RESULTS 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). 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). DMS-9222491, 01/01/93 - 07/31/96, National Science Foundation.

44. A COURSE IN REAL ANALYSIS 3 Topological, Metric, and Normed Spaces 7 Elements of Topological, Metric, andNormed Spaces Biography pavel Samuilovich urysohn 8 Complete Spaces, Compact http://video.ticmundi.com/0-12-742830-5.html

A COURSE IN REAL ANALYSIS Le Monde En Tique Commandez cet ouvrage Ouvrage : A COURSE IN REAL ANALYSIS A Course in Real Analysis provides a firm foundation in real analysis concepts and principles while presenting a broad range of topics in a clear and concise manner. Taking a student-oriented approach, Professors McDonald and Weiss have written a text that balances theory and applications and contains a wealth of examples and exercises. Throughout the text, the authors adhere to the idea that most students learn more efficiently by passing from the concrete to the abstract. The authors have also created real application chapters on probability theory, harmonic analysis, and dynamical systems theory. The text offers considerable flexibility in the choice of material to cover. From Booknews: A textbook for a one-year course at the graduate or advanced undergraduate level, incorporating pedagogical techniques not often found in such treatments. Encompasses set theory, real numbers, and calculus; measure, integration, and differentiation; topological, metric, and normed spaces; and harmonic analysis and dynamical systems. Suggests various ways of presenting the material. Includes a biographical sketch of a famous mathematician at the beginning of each chapter. No bibliography. Annotation c. Book News, Inc., Portland, OR (booknews.com) Table of Contents Preface Pt. 1

45. Listing Of Past Events Announced On Techmath. June 2002 Anatoly Vershik, Random metric spaces and the universal urysohn space 18June 2002 pavel E. Sobolevskii, The sharp constant in the generalized Hardy's http://www.math.technion.ac.il/~techm/tmoldmsg.html

Listing of past events announced on Techmath. 28 March TA GAFA Seminar: 1) S. Artstein (Tel Aviv University): Recent Progress on the Duality of Entropy Numbers Conjecture 2) Yuri Lyubich, (Technion) (joint work with V. Milman and S. Szarek): Almost Euclidean subspaces of real l^n_p with p an integer. 27 March HJ Ehud de Shalit, p-adic Uniformization. 27 March Micha Sageev, CAT(0) Cube complexes. 27 March HJ Nikolay Nikolov, The commutator width of perfect groups. ... 24 February 1998 NEW TECHMATH WEB PAGE. FOR OTHER OLDER LISTINGS SEE THIS FOR MUCH OLDER LISTINGS SEE THIS

46. Luzin There was a mathematics student at the university, pavel Florensky, who experienceda crisis The next students included PS urysohn, AN Kolmogorov, NK Bari, LA http://kspu.kaluga.ru/history/Russian/Luzin/Luzin.html

47. Pagina2 Translate this page Dr. pavel Naumkin Venedictova, Ecuaciones diferenciales en derivadas parciales. regulares,completamente regulares y normales, lema de urysohn, teorema de http://www.matmor.unam.mx/posgrados/posgrado.htm

POSGRADO EN MATEMATICAS MAESTRIA Y DOCTORADO INDICE 1.- Objetivos. 2.- Perfil del candidato. 4.- Perfil del egresado. 6.- Asignaturas y actividades. 8.- Puntos Importantes. 1.- Objetivos. 2.- Perfil del candidato. 4.- Perfil del egresado. 1.- Instituciones que participan. IV. Apoyo Institucional. 1.- Personal administrativo que participa. 2.- Becas. 3.- Bibliotecas, cubiculos, eventos y material. 4.- Calendario. V. Requisitos Administrativos. Conacyt 1.- Algebra. 4.- Variable Compleja. ... 5.- Algebra. 1.- Objetivos. 2.- Perfil del candidato. 4.- Perfil del egresado. 6.- Asignaturas y seminarios. Variable compleja Ecuaciones diferenciales Cursos ordinarios: Ecuaciones diferenciales ordinarias Ecuaciones diferenciales parciales I Ecuaciones diferenciales parciales II Representaciones de grupos Representaciones de grupos continuos Probabilidad Combinatoria Varias variables complejas. Seminarios: Seminario de ecuaciones diferenciales I Seminario de ecuaciones diferenciales II Seminario de intercambio I Seminario de intercambio II 7.- Cursos propedeuticos ALGEBRA LINEAL TEMAS 2. Transformaciones lineales y matrices asociados

48. Urysohn Metrization Theorem List of mathematical biographies indexed alphabetically http://www.math.ohio-state.edu/~fiedorow/math655/UrysohnFrame.html

This page contains my lectures on the Urysohn Metrization Theorem from early November. page 1 page 2 page 3 page 4 ... page 21 In case you are interested in the mathematicians mentioned in these lectures, here are links to their biographies in the MacTutor archives: Pavel Samuilovich Urysohn Felix Hausdorff Ernst Leonard Lindelšf Heinrich Franz Friedrich Tietze

49. OPE-MAT - Mathématiciens of York Aristaeus the Elder Agnesi, Maria Alekandrov, pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander, James http://www.gci.ulaval.ca/PIIP/math-app/Historique

50. Karl Menger At the same time Menger was formulating his ideas, the young Russian mathematicianPavel urysohn (born in 1898 and died in a drowning accident in 1924) also http://www.iit.edu/~am/Menger/menger.html

Karl Menger (Jan. 13 1902 - Oct. 5 1985) compiled by Greg Fasshauer Menger's Life Principal Dates Menger's 100th Birthday (Jan.13 2002) ... Karl Menger's Ph.D. Students Karl Menger's Fields of Research Theory of Curves and Dimension Theory Geometry of General Metric Spaces (Convexity. Geodesics. Characterization of Euclidean Sets.) A General Theory of Length and the Calculus of Variations Coordinate-Free Treatment of Curvature ... Ethics. Formal Studies of Human Relations Karl Menger [Not that, if one were to spread the insight into the methods of mathematics more widely, this would necessarily result in many more intelligent things being said than today, but certainly many fewer unintelligent things would be said.] Principal Dates born in Vienna studied at the University of Vienna; Ph.D. in Mathematics docent at the University of Amsterdam professor of geometry at the University of Vienna visiting lecturer at Harvard University and The Rice Institute founder of the Ergebnisse eines Mathematischen Kolloquiums founder of Reports of a Mathematical Colloquium , 2nd series, and Notre Dame Mathematical Lectures professor of mathematics, Illinois Institute of Technology, Chicago

51. 418 Syllabus products and quotients, embedding theorems, separation axioms, some of the majorclassical theorems of general topology (for example, urysohn's Lemma, Tietze's 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:

52. Www.math.niu.edu/~rusin/known-math/99/photos GL Alexanderson, Gerald Alexandroff, AD Alexandroff, PS Alexandroff, paul Alexandroff,Paul Alexandroff, Paul S. Alexandroff, pavel Sergeevich Alexandroff http://www.math.niu.edu/~rusin/known-math/99/photos

53. Aleksandrov pavel Sergeevich Aleksandrov. Born studies. Aleksandrov studied withUrysohn, a fellow student, and they produced impressive results. http://sfabel.tripod.com/mathematik/database/Aleksandrov.html

Pavel Sergeevich Aleksandrov Born: 7 May 1896 in Bogorodsk (also called Noginsk), Russia Died: 16 Nov 1982 in Moscow, USSR Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Aleksandrov attended Moscow University and became Luzin 's first student in 1915. He proved an important result but then, after failing to prove the continuum hypothesis (not surprising since it can neither be proved or disproved) he thought he was not capable of a mathematical career and became a theatre producer. After a short term in jail in 1919 at the time of the Russian revolution, Aleksandrov returned to Moscow University to resume his studies. Aleksandrov studied with Urysohn Emmy Noether Courant and Hilbert with their results on when a metric space is metrizable. They also visited Hausdorff in Bonn and Brouwer in Holland in 1926. Aleksandrov became close friends with Hopf and Kolmogorov . He laid the foundations of homotopy theory and was the first to use the phrase 'kernel of a homomorphism'. References (8 books/articles) Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996

54. Www.larryelectric.com/history/db/feb-B.txt Calif, swimmer (Olympicgold-1932)/actor 19080202Pavel Sivic, composer Finland,architect (Finlandia House) 18980203Paul urysohn, Russian mathematician http://www.larryelectric.com/history/db/feb-B.txt

55. Www.larryelectric.com/history/db/aug-D.txt for raping 12 year old in Georgia 19200817Ray Chapman, hit in the head by Yanks'Carl Mays pitch, dies 19240817Pavel S Paul urysohn, Russian mathematician http://www.larryelectric.com/history/db/aug-D.txt

56. Æóðíàë "Êâàíò" The summary for this Russian page contains characters that cannot be correctly displayed in this language/character set. http://kvant.mccme.ru/1974/08/pavel_samuilovich_uryson.htm

kvant@mccme.ru Ýëåêòðîííîãî æóðíàëà "Êóðüåð îáðàçîâàíèÿ" kvant@mccme.ru Ýëåêòðîííîãî æóðíàëà "Êóðüåð îáðàçîâàíèÿ"

57. At.yorku.ca/p/a/a/i/10.tex http://at.yorku.ca/p/a/a/i/10.tex

To: Topology Atlas Preprints

58. February FEBRUARY. 1 John Burkill 1900 John Daggett. 2 -. 3 - Gaston Julia 1893 PavelUrysohn 1898 Arne Beurling 1905 . Warren Garrison 1941 (who?). 4 -. 5 -. 6 -. http://www.applmath.engr.scu.edu/~garrison/AMTH371/February.html

FEBRUARY John Daggett Warren Garrison 1941 (who?) 7 - Godfrey Hardy 1877 11- Josiah Gibbs 1839 12 - Hanna Neumann 1914 13 - Johann Dirichlet 1805 15 - Galileo Galilei 1564 16 - Francis Galton 1822 18 - Nasir al-Din al-Tussi 1201 19 - Nicolaus Copernicus 1473 20 - Ludwig Boltzmann 1844 24 - Felix Bernstein 1878 26 - Francois Arago 1786 28 - Joost Burgi 1552 Others born this month were: Pythagoras 580 BC Roger Bacon 1219 Omar Khayyam 1048

59. Untitled Document from http//aleph0.clarku.edu/~djoyce/mathhist/chronology.html. Tableof Contents. 1700 BCE, 700, 600, 500, 400, 300, 200, 100 BCE http://faculty.gwhs.org:16080/~arose/history.html

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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