1. Pavel Sergeevich Aleksandrov - Encyclopedia Article From Britannica.com Search Pavel Sergeevich Aleksandrov at Britannica.com for the Web's best sites, news and magazine articles, and related http://www.britannica.com/seo/p/pavel-sergeevich-aleksandrov

Search Pavel Sergeevich Aleksandrov at Britannica.com for the Web's best sites, news and magazine articles, and related products. To view the complete article, sign up for Britannica's premium service - Aleksandrov, Pavel Sergeevich b. April 25 [May 7, New Style], 1896, Bogorodsk [now Noginsk], Russia d. Nov. 16, 1982, Moscow also spelled Soviet mathematician who made important contributions to the field of topology , the study of related physical or abstract elements that remain unchanged under ... Need more? Complete articles are available to premium service members. Information on site licenses is also available. About Us Advertise With Us Syndication International Publishing ... Help

2. Aleksandrov Pavel Sergeevich Aleksandrov. Born 7 May 1896 in Bogorodsk (alsocalled Noginsk), Russia Died 16 Nov 1982 in Moscow, USSR. Click http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Aleksandrov.html

Pavel Sergeevich Aleksandrov Born: 7 May 1896 in Bogorodsk (also called Noginsk), Russia Died: 16 Nov 1982 in Moscow, USSR Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Like most Russian mathematicians there are different ways to transliterate Aleksandrov 's name into the Roman alphabet. The most common way, other than Aleksandrov, is to write it as Alexandroff. Pavel Sergeevich Aleksandrov's father Sergi Aleksandrovich Aleksandrov was a medical graduate from Moscow University who had decided not to follow an academic career but instead had chosen to use his skills in helping people and so he worked as a general practitioner in Yaroslavskii. Later he worked in more senior positions in a hospital in Bogorodskii, which is where he was when Pavel Sergeevich was born. When Pavel Sergeevich was one year old his father moved to Smolensk State hospital, where he was to earn the reputation of being a very fine surgeon, and the family lived from this time in Smolensk. The city of Smolensk is on the Dnieper River 420 km west of Moscow. Pavel Sergeevich's early education was from his mother, Tsezariya Akimovna Aleksandrova, who applied all her considerable talents to bringing up and educating her children. It was from her that Aleksandrov learnt French and also German. His home was one that was always filled with music as his brothers and sisters all great talent in that area. The fine start which his mother gave him meant that he always excelled at the grammar school in Smolensk which he attended. His mathematics teacher Alexsander Romanovich Eiges soon realised that his pupil had a remarkable talent for the subject and ([3] and [4]):-

3. All Members (main41) 1953 Academician aleksandrov pavel Sergeevich. 1953 Corr.Member Alekseev Aleksandre Yemel'anovich http://www.icp.ac.ru/RAS_1724-1999/CD_PAH/ENG/GALLERY/XX_MA41.HTM

Full List of Academy Members Foreign Mem. Joliot-Curie Irene Foreign Mem. Joliot-Curie Jean-Frederic Foreign Mem. Nejedlyh Zdenek Foreign Mem. Nitsch Kazimierz Foreign Mem. Parkhon Konstantin Ion Foreign Mem. Pavlov Todor (Fiodor Dmitrievich) (pseudonym. P. Dosev) Foreign Mem. Raman Chandrasekhara Venkata Foreign Mem. Szent-Gyorgyi Albert Academician Topchiev Aleksandr Vasil'evich Corr.Member Afanas'ev Georgii Dmitrievich Corr.Member Alekin Oleg Aleksandrovich Academician Aleksandrov Anatolii Petrovich Corr.Member Aleksandrov Boris Kapitonovich Academician Aleksandrov Pavel Sergeevich Corr.Member Alekseev Aleksandre Yemel'anovich Academician Ambartsumian Viktor Amazaspovich Corr.Member Amiraslanov Ali Agamaly ogly Academician Andreev Nikolai Nikolaevich Academician Arbuzov Boris Aleksandrovich Academician Artsimovich Lev Andreevich Corr.Member Bei-Bienko Grigorii Yakovlevich Corr.Member Bel'chikov Nikolai Fiodorovich Corr.Member Belousov Vladimir Vladimirovich Academician Belov Nikolai Vasil'evich Academician Betekhin Anatolii Georgievich Corr.Member

4. Portraits Of Full Members Aleksandrov Kirill Sergeevich. 1953 aleksandrov pavel Sergeevich. 1984 Alekseev Anatolii Semionovich http://www.icp.ac.ru/RAS_1724-1999/CD_PAH/ENG/PORT_ACA.HTM

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5. Aleksandrov P.S. Choose photograph, Next. aleksandrov pavel Sergeevich. Born on 07.05.1896.Died on 16.11.1982. Mathematics. Corresponding Member of http://hp.iitp.ru/eng/00/0034.htm

Choose photograph ALEKSANDROV Pavel Sergeevich Born on 07.05.1896. Died on 16.11.1982. Mathematics. Corresponding Member of the Division of Mathematical and Natural Sciences since 31.01.1929. Academician of the Division of Physical-Mathematical Sciences since 23.10.1953.

6. Portraits Of All Members Of The Academy 1953 Academician aleksandrov pavel Sergeevich. 1992 Academician Aleksandrov Yevgenii Borisovich http://hp.iitp.ru/eng/port_xxa.htm

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7. Aleksandrov P.S. aleksandrov pavel Sergeevich. Born on 07.05.1896. Died on 16.11.1982.Mathematics. Corresponding Member of the Division of Mathematical http://www.icp.ac.ru/RAS_1724-1999/CD_PAH/ENG/00/0034.HTM

ALEKSANDROV Pavel Sergeevich Born on 07.05.1896. Died on 16.11.1982. Mathematics. Corresponding Member of the Division of Mathematical and Natural Sciences since 31.01.1929. Academician of the Division of Physical-Mathematical Sciences since 23.10.1953.

8. Ouvrages Des Editions MIR Translate this page aleksandrov pavel S. Introduction à la Théorie Homologique de la Dimensionet la Topologie Combinatoire. ALEXEEV V., GALEEV E., TIKHOMIROV http://gersoo.free.fr/mir/mir.html

Documents personnels Calcul Scientifique Editions MIR Informatique ... Grenier Ce sont ces fameux ouvrages scientifiques et techniques traduits du russe avec une reliure noire en tissus enduit(la jaquette est rouge, marron ou bleu). Physique-Chimie Technologie Sciences de la Terre et du Vivant MATHEMATIQUES ACHMANOV Stanislas ALEKSANDROV Pavel S. ALEXEEV V., GALEEV E., TIKHOMIROV V. ARNOLD Vladimir ARNOLD Vladimir, VARTCHENKO A., GOUSSEIN-ZADE S. I Classification des points critiques, des caustiques et des fronts d'ondes. BAKHVALOV N. BEKLEMICHEV D. BEKLEMICHEVA L., PETROVITCH A., TCHOUBAROV I. BOUGROV Y., NIKOLSKI S. BOROKOV A. CHABAT B. CHILOV G. DANKO P., POPOV A. DEMIDOVITCH Boris, MARON Isaac DEMIDOVITCH Boris DITKINE V., PROUDNIKOV A. DOUBROVINE B., NOVIKOV S., FOMENKO A. EFIMOV N. FEDENKO A. FEDORIOUK M. GLAZMAN I., LIUBITCH Y. GODOUNOV S. GODOUNOV S. GODOUNOV S. et Collectif GODOUNOV S., RIABENKI V. GOLSTEIN E., YOUDINE D. GUIKHMAN I. ILINE V., POZNIAK E. KANTOROVITCH L., AKILOV G. Analyse Fonctionnelle(en 2 volumes) KARGAPOLOV M.,MERZLIAKOV Y.

9. Aleksandrov Pavel Sergeevich Aleksandrov. Born 7 May 1896 in Bogorodsk (alsocalled Noginsk), Russia Died 16 Nov 1982 in Moscow, USSR. Like http://kspu.kaluga.ru/history/English/Aleksandrov/Aleksandrov.html

10. International School "Inverse Problems: Theory And Applications" ru. 3, aleksandrov pavel, Institute of Geoelectromagnetical Investegationsof RAS, Troitsk, Russia, alexandr@geo.igemi.troitsk.ru. 4, http://www.math.nsc.ru/conference/invconf/eng/partic.html

International School "Inverse Problems: Theory and Applications" Khanty-Mansiysk, Russia August 11 - 19, 2002 Announcement List of Lectures Registration Registered Participants Useful Information Contact Information Registered Participants Invited lecturers are indicated by Name Affiliation E-mail Abasheeva Nina Sobolev Institute of Mathematics of SB RAS, Novosibirsk, Russia anl@ngs.ru Akhtyamov Azamat Bashkir State University, Ufa, Russia AkhtyamovAM@mail.ru Aleksandrov Pavel Institute of Geoelectromagnetical Investegations of RAS, Troitsk, Russia alexandr@geo.igemi.troitsk.ru Alekseev Anatoly Institute of Computational Mathematics and Mathematical Geophysics of SB RAS, Novosibirsk, Russia aleks@sscc.ru Alekseev Gennady Institute for Applied Mathematics of FEB RAS, Vladivostok, Russia alekseev@iam.dvo.ru Andreev Alexandre Ulyanovsk State University, Ulyanovsk, Russia andreev@mtu.ulsu.ru Anikonov Dmitri Institute for Applied Mathematics of FEB RAS, Vladivostok, Russia anik@iam-mail.febras.ru Anikonov Yurii Sobolev Institute of Mathematics of SB RAS, Novosibirsk, Russia anikon@math.nsc.ru

11. Aleksandrov Pavel Sergeevich Aleksandrov. Born 7 May 1896 in Bogorodsk (also calledNoginsk), Russia Died 16 Nov 1982 in Moscow, USSR. Mathematiker Bild 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

12. Encyclopædia Britannica aleksandrov, pavel Sergeevich Encyclopædia Britannica Article. MLA style aleksandrov,pavel Sergeevich. 2003 Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=497

13. References For Urysohn References for the biography of pavel Urysohn P S aleksandrov, pavel Samuilovich Urysohn (Russian), Uspehi Matem. http://www-gap.dcs.st-and.ac.uk/~history/References/Urysohn.html

References for Pavel Urysohn Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: P S Aleksandrov, Pavel Samuilovich Urysohn (Russian), Uspehi Matem. Nauk (N.S.) Istor.-Mat. Issled. No. Arch. Hist. Exact Sci. A V Arkhangel'skii and V M Tikhomirov, Pavel Samuilovich Uryson (1898-1924) (Russian), Uspekhi Mat. Nauk (1998), no. 5(323),5-26. A V Arkhangel'skii and V M Tikhomirov, Pavel Samuilovich Uryson (1898-1924), Math. Surveys S A Bogatyi, Yu M Smirnov and V V Fedorchuk, Pavel Samuilovich Uryson (Russian), Vestnik Moskov. Univ. Ser. I Mat. Mekh. T Crilly and D Johnson, The emergence of topological dimension theory, in I M James (ed.), History of topology (Amsterdam, 1999), 1-24. M Katetov, P S Uryson and the beginnings of general topology (Czech), Pokroky Mat. Fyz. Astronom. L A Mazel', On reminiscences about P S Uryson (Russian), Voprosy Istor. Estestvoznan. i Tekhn. V M Tikhomirov, Two letters to P S Uryson (Russian), Voprosy Istor. Estestvoznan. i Tekhn. V M Tikhomirov, On the centenary of the birth of P S Uryson (Russian)

14. Aleksandrov, Pavel Sergeevich aleksandrov, pavel Sergeevich (18961982). Russian mathematician whowas a leading expert in the field of topology and one of the http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/A/Aleksandrov/1.

Aleksandrov, Pavel Sergeevich Russian mathematician who was a leading expert in the field of topology and one of the founders of the theory of compact and bicompact spaces. Aleksandrov was born in Bogorodsk (now Noginok), near Moscow, and studied at Moscow University, where he became professor of mathematics 1929. Aleksandrov introduced many of the basic concepts of topology, such as the notion that an arbitrarily general topological space can be approximated to an arbitrary degree of accuracy by simple geometric figures such as polyhedrons. Of great importance, too, were his investigations into that branch of topology known as homology, which examines the relationships between the ways in which spatial structures are dissected. He formulated the theory of essential mappings and the homological theory of dimensionality, which led to a number of basic laws of duality relating to the topological properties of an additional part of space. His passion for international cooperation led him to supervise the publication of an English-Russian dictionary of mathematical terminology 1962.

15. Aleksandrov Biography of pavel aleksandrov (18961982) pavel Sergeevich aleksandrov. Born 7 May 1896 in Bogorodsk (also called Noginsk), Russia http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Aleksandrov.html

Pavel Sergeevich Aleksandrov Born: 7 May 1896 in Bogorodsk (also called Noginsk), Russia Died: 16 Nov 1982 in Moscow, USSR Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Like most Russian mathematicians there are different ways to transliterate Aleksandrov 's name into the Roman alphabet. The most common way, other than Aleksandrov, is to write it as Alexandroff. Pavel Sergeevich Aleksandrov's father Sergi Aleksandrovich Aleksandrov was a medical graduate from Moscow University who had decided not to follow an academic career but instead had chosen to use his skills in helping people and so he worked as a general practitioner in Yaroslavskii. Later he worked in more senior positions in a hospital in Bogorodskii, which is where he was when Pavel Sergeevich was born. When Pavel Sergeevich was one year old his father moved to Smolensk State hospital, where he was to earn the reputation of being a very fine surgeon, and the family lived from this time in Smolensk. The city of Smolensk is on the Dnieper River 420 km west of Moscow. Pavel Sergeevich's early education was from his mother, Tsezariya Akimovna Aleksandrova, who applied all her considerable talents to bringing up and educating her children. It was from her that Aleksandrov learnt French and also German. His home was one that was always filled with music as his brothers and sisters all great talent in that area. The fine start which his mother gave him meant that he always excelled at the grammar school in Smolensk which he attended. His mathematics teacher Alexsander Romanovich Eiges soon realised that his pupil had a remarkable talent for the subject and ([3] and [4]):-

16. Mathematicians Translate this page Abel, Niels Henrik aleksandrov, pavel Sergeevich Ampère, André MarieApollonius, of Perga, Archimedes Argand, Jean-Robert Artin, Emil. http://www.cartage.org.lb/en/themes/Biographies/Categories/Scientists/Mathematic

Abel, Niels Henrik Aleksandrov, Pavel Sergeevich Apollonius, of Perga Archimedes Abel, Niels Henrik Aleksandrov, Pavel Sergeevich Apollonius, of Perga Archimedes ... Artin, Emil

17. References For Aleksandrov References for the biography of pavel aleksandrov A A Malcev and O A Oleinik, pavel Sergeevich aleksandrov on his 80th birthday, Russian Mathematical Surveys 31 http://www-history.mcs.st-and.ac.uk/References/Aleksandrov.html

References for Pavel Aleksandrov Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Articles: A V Arkhangelskii, A N Kolmogorov, A A Malcev and O A Oleinik, Pavel Sergeevich Aleksandrov : on his 80th birthday, Russian Mathematical Surveys A V Arkhangelskii, A N Kolmogorov, A A Malcev and O A Oleinik, Pavel Sergeevich Aleksandrov : on his 80th birthday (Russian), Uspekhi Mat. Nauk S V Fomin, A N Kolmogorov, L A Lyusternik, Yu M Smirnov and A N Tikhonov, P S Aleksandrov (on his seventieth birthday) (Russian), Uspekhi Mat. Nauk S V Fomin, A N Kolmogorov, L A Lyusternik, Yu M Smirnov and A N Tikhonov, P S Aleksandrov (on his seventieth birthday), Russian Mathematical Surveys A N Kolmogorov, Reminiscences of P S Aleksandrov (Russian), Uspekhi Mat. Nauk S M Nikol'skii, P S Aleksandrov and A N Kolmogorov in Dnepropetrovsk, Uspekhi Mat. Nauk Mitt. Math. Ges. DDR M Stoun, Memories of Academician P S Aleksandrov, Uspekhi Mat. Nauk R Tobies, Contact between Soviet and German mathematicians: P S Aleksandrov and German mathematics (Russian), Istor.-Mat. Issled.

18. Heinz Hopf Translate this page aleksandrov, pavel S. Heinz Hopf zum Gedenken I Einige Erinnerungen anHeinz Hopf In Jahresbericht der Deutschen Mathematiker-Vereinigung. http://www.ub.uni-heidelberg.de/helios/fachinfo/www/math/homo-heid/hopf.htm

Heinz Hopf Studium in Heidelberg Hopf, Heinz (19.11.1894 - 3.6.1971) Lexika (Printausgaben) WWW-Informationen Print-Biographien Werk Bibliographien Lexika Bd. 10 (1996), S. 251 Hopf, Heinz, schweizer. Mathematiker dt. Herkunft, Werk: Topologie I (1935, mit P. ALEXANDROFF). Hopf, Akad. Wiss. Heidelberg 49, Mathematik (Topologie). MV: Topologie m. Paul Alexandroff 35. Z: Zahlr. Aufs. in: Math. Ann. 25-31; Math. Zs. 29; Crelles J. 30; Comment. Math. Helv. 31-55; Fund. Math. 35; Ann. of Math. 41; Courant Anniversary Vol. New York 48; Math. Nachr. 51; u.a. MHZ: Compos. Math. 34-40; Math. Ann. seit 48. Top WWW-Informationen Biographie vom St. Andrews Archiv The Mathematics Genealogy Project Heinz Hopf Mathematische Annalen Mathematische Zeitschrift Mathematisch-Physikalische Klasse Dissertation mit Lebenslauf Top Print-Biographien Neue Deutsche Biographie. - Berlin Bd. 9 (1972), S. 607 UB-Signatur: LSN A-EH 001 Dictionary of Scientific Biography. - New York Vol. 6 (1972), p. 496-497 UB-Signatur: LSN B-AE 014 History of topology / ed. I.M. James. - Amsterdam [u.a.], 1999 Chapter 9 UB-Signatur: 2000 H 569 Aleksandrov, Pavel S.:

19. Aleksandrov Portraits Portraits of pavel aleksandrov pavel aleksandrov. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Aleksandrov.html

Pavel Aleksandrov JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Aleksandrov.html

20. Andrei Nikolaevich Kolmogorov Handwriting of AN Kolmogorov. PS aleksandrov pavel Samuilovich Urysohn. PSaleksandrov Luzin's Mathematical School AN Kolmogorov and PS aleksandrov. http://kolmogorov.com/Kolmogorov.html

Andrei Nikolaevich Kolmogorov April 25, 1903 - October 20, 1987 Curriculum Vitae Biography Ph.D. students and descendants of A. N. Kolmogorov Russian Academy of Sciences (RAS) and Moscow State University (MSU) INTERNATIONAL CONFERENCE KOLMOGOROV AND CONTEMPORARY MATHEMATICS (Moscow, June 16 - 21, 2003) IN COMMEMORATION OF THE CENTENNIAL of Andrei Nikolaevich Kolmogorov (25.IV.1903 - 20.X.1987) Scopes and Themes The Conference will cover the main areas of A.N. Kolmogorov's scientific interests with an emphasis on his vision of Mathematics in its fundamental unity as well as recent developments in the fields: Dynamic Systems and Ergodic Theory Theory of Functions and Functional Analysis Theory of Probability and Mathematical Statistics Turbulence and Hydrodynamics Mathematical Logic and Theory of Complexity Geometry and Topology http://kolmogorov-100.mi.ras.ru International conference devoted to the hundredth anniversary of A.N. Kolmogorov's birth (Tambov, May 11-16, 2003 ) GENERAL PROBLEMS OF OPTIMAL CONTROL AND THEIR APPLICATIONS. (GPC-2003) The conference is devoted to memory of outstanding mathematician of modernity ... Third Annual Moscow Kolmogorov Readings - 2003 International Science Students Conference Kolmogorov Specialized Physics and Mathematics School - Internat #18, Moscow

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