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         Pontryagin Lev:     more detail
  1. Topological Groups: Second Edition by Lev Semenovich Pontryagin, 1966
  2. Generalization of Numbers by Lev Pontryagin, 2010-09-07
  3. Biography of Lev Semenovich Pontryagin, mathematics, composed by himself. Birth 1908, Moscow / Zhizneopisanie Lva Semenovicha Pontryagina, matematika, sostavlennoe im samim. Rozhdeniya 1908, g. Moskva by L. S. Pontryagin, 2010

61. Aa, Personal , Ahmet Kaya ,Þebnem Ferah , Göksel , Ebru Gündeþ
Poisson, Siméon (2550*) Poleni, Giovanni (152) Polozii, Georgii (213) Pólya, George (3395*) Poncelet, JeanVictor (252*) pontryagin, lev (1470*) Poretsky
http://www.newturk.net/index111.html

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62. France Diplomatie - Maths Dans La Vie Quotidienne
pontryagin obtenu par des chercheurs soviétiques (dont lev pontryagin) vers 1960
http://www.diplomatie.fr/culture/expositions_scientifiques/maths_quot/pages/droi
document.write(haut) Recherche Aide Abonnements Maths dans la vie quotidienne document.write ( chYahoo );
Des satellites aux portables
Une assistance gravitationnelle
Pour en savoir plus
x x 0 et une vitesse v x x t t , et F t t m md x dt F t F t ) telle que x T ) = et v T dx dt t T ) = pour une certaine valeur T du temps, avec les conditions initiales x (0) = x et v (0) = v F T F et de valeurs de l'instant T permettant d'atteindre le lieu de rendez-vous et de s'y immobiliser. En pratique, les fonctions possibles F t a priori Bibliographie Introduction to optimal control theory , Springer-Verlag, 1995.
Deterministic and stochastic optimal control , Springer-Verlag, 1975.
Acta Astronautica Culture Recherche

63. Interedvisual
Translate this page este punto hay un gran número de personas ciegas entre los grandes matemáticos, tal como Leonhard Euler, Nicholas Saunderson, lev pontryagin, Alfred Loewy
http://sapiens.ya.com/eninteredvisual/ftp/mas_alla_del_lapizydelpapel.htm
Espacio.ya.com Quitar publicidad Buscador Inter e d visual INTEREDVISUAL@terra.es REVISTA E-ACCESS, nº 25. Enero de 2002. SECCIÓN TRES: FOCO - MATEMÁTICAS
MÁS ALLÁ DEL LÁPIZ Y EL PAPEL

por Phil Cain phil@headstar.com
Los matemáticos están orgullosos de que su disciplina haya ganado tanta influencia con la aplicación de apenas un lápiz, papel y una papelera. Pero, mientras que éstos son los elementos básicos del oficio, los puntos y los símbolos que son lo fundamental de las matemáticas son en gran parte inaccessibles a las personas ciegas, tanto en el papel como en la
pantalla del ordenador.
Como Alistair Edwards, un investigador del Departamento de Informática en la Universidad de York, dijo en la reciente conferencia Techshare de RNIB: "No hay razón por la que las personas ciegas no puedan elaborar digitos mentalmente ... pero ellos tienen dificultad con el papel ". Probando este punto hay un gran número de personas ciegas entre los grandes matemáticos, tal como Leonhard Euler, Nicholas Saunderson, Lev Pontryagin, Alfred Loewy, Stephen Smale, WG Bickley, Bernard Morin y Joseph Plateau.
Pero los logros de estos individuos excepcionales no pueden oscurecer el hecho del problema de acceso presentado por la notación matemática, en la terminología impasible favorecida por los matemáticos, "no trivia". Una solución a este problema significaría no solamente que algunas personas más, ciegas, podrían convertirse en matemáticos y probar que "una esfera se podría cambiar completamente", como Smale hizo en 1959, pero que mucha más gente podría achicar su cuenta del gas.

64. Encyclopedia: Lev Semenovich Pontryagin
DOC ALGUMAS PALAVRAS SOBRE ESCASSEZ DE RECURSOS NATURAIS E MODELAGEM
http://www.nationmaster.com/encyclopedia/Lev-Semenovich-Pontryagin

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    Encyclopedia : Lev Semenovich Pontryagin
    Sorry, no entry exists for this yet.
    The Wikipedia article included on this page is licensed under the GFDL
    Usage implies agreement with terms

    65. Untitled Document
    lev pontryagin *Henri Léon
    http://www.prandiano.com.br/html/m_aula2.htm
    Fragmentos de uma aula do Curso Prandiano: Pierre Louis Moreau de Maupertuis (1698 - 1759), influenciado por Descartes
    ("curvas decodificadas em pensamentos"), Bernoulli ("curva do menor tempo") e
    Leibniz ("Deus decodificado no criador de um mundo perfeito"), propôs, em 1744, o
    Principe de La Moindre Action
    (Altitudoinis Triangulum)
    , formulado em 1869 por Hermann Amandus Schwarz: "Dado um triângulo acutângulo ABC
    (seus três ângulos são menores que 90º),
    inscrever um triângulo pqr de menor perímetro"
    Pode-se entender a resposta geometrizada (os pontilhados representam retas
    ou ligando os pontos pqr
    2.0 Estática Experimental e Teórica dos Líquidos
    Submetidos Somente às Forças Moleculares
    Em 1873, Joseph Antoine Ferdinand Plateau (1801 - 1883) publicou: Statique Expérimentale et Théoretique
    des Liquides Soumix Aux Seules Forces Moléculares
    Influenciado pelo Princípio da Mínima Ação de Maupertuis (1744) e pelo Princípio da Mínima Energia Potencial de Gustav P. Lejeune Dirichlet (1830) :

    66. Matematica - Articoli - Interventi Di…
    Translate this page lev S. pontryagin lasciò una ricerca estremamente fruttuosa in topologia algebrica per creare la teoria del controllo. In prospettiva
    http://matematica.uni-bocconi.it/matematica-guerra/home.htm
    di Bernhelm Booß-Bavnbek
    professore di Matematica e Modellazione matematica presso il
    (Danimarca), con particolari interessi verso l'Analisi globale delle
    equazioni differenziali parziali, in particolare le formule di
    incollamento per gli invarianti spettrali.
    e di Jens Høyrup
    Filosofici e Scientifici, dove studia in particolare la storia
    concettuale e culturale all'inizio della Matematica moderna. Newsletter della
    European Mathematical Society , che ringraziamo per averci permesso la
    Giorgio Bolondi
    MATEMATICA E GUERRA
    Fisici, chimici e biologi, per tradizione, sono abituati a discutere i meta-aspetti della loro disciplina, e tra questi l’uso (e l’abuso) a scopi militari delle conoscenze prodotte dal loro lavoro. Queste preoccupazioni sono rare tra i matematici. Nel mese di agosto 2002, dal 29 al 31, il silenzio è stato infranto: 42 matematici, storici della matematica, storici e analisti militari, filosofi si sono ritrovati nella storica base navale di Karlskrona per discutere quattro questioni: - Fino a che punto le questioni militari hanno avuto parte attiva, lungo la storia, e in particolare dalla seconda guerra mondiale in poi, nel modellare la matematica moderna

    67. MATEMATICA E GUERRA
    Translate this page lev S. pontryagin lasciò una ricerca estremamente fruttuosa in topologia algebrica per creare la teoria del controllo. In prospettiva
    http://matematica.uni-bocconi.it/matematica-guerra/matematica e guerra rev2.htm
    MATEMATICA E GUERRA Fisici, chimici e biologi, per tradizione, sono abituati a discutere i meta-aspetti della loro disciplina, e tra questi l’uso (e l’abuso) a scopi militari delle conoscenze prodotte dal loro lavoro. Queste preoccupazioni sono rare tra i matematici. Nel mese di agosto 2002, dal 29 al 31, il silenzio è stato infranto: 42 matematici, storici della matematica, storici e analisti militari, filosofi si sono ritrovati nella storica base navale di Karlskrona per discutere quattro questioni: - Fino a che punto le questioni militari hanno avuto parte attiva, lungo la storia, e in particolare dalla seconda guerra mondiale in poi, nel modellare la matematica moderna e la carriera dei matematici? - Il pensiero matematico, i metodi matematici, e la tecnologia supportata dalla matematica, stanno cambiando il carattere e i modi di attuazione della guerra moderna? e, se sì, in che modo questo influisce sull’opinione pubblica e i militari? - Quali sono state, in tempo di guerra, le scelte etiche di personalità eminenti come il fisico Niels Bohr e il matematico Alan Turing? Fino a che punto la discussione sui principi etici può guidare il lavoro dei matematici?

    68. Fiche Document -Current Problems Of Mathematics. Mathematical
    Translate this page mathematical analysis,algebra,topology collection of papers dedicated to akademician lev s. pontryagin on his seventy fifth birthday,vol.
    http://bibli.cirm.univ-mrs.fr/Document.htm&numrec=031960713914250

    69. Fields Medal
    became head of the Mathematics Division at the LD Landau (lev Landau) Institute 4. He also studied the topological invariance of rational pontryagin classes.
    http://www.eurasc.org/media.htm
    EAS European Academy of Sciences Home Page Objectives Bylaws Structure ... Contact us A permanent representative to EAS from Croatia ( more... Latvian Academy of Sciences appoints a permanent representative to EAS ( more...
    Three Fields Medalists are Members of the European Academy of Sciences.
    At the 1924 International Congress of Mathematicians (ICM), it was decided that at each ICM, two gold medals should be awarded to recognize outstanding mathematical achievement. Professor J. C. Fields, a Canadian mathematician who was Secretary of the 1924 Congress, later donated funds establishing the medals which were named in his honor. Consistent with Fields's wish that the awards recognize both existing work and the promise of future achievement, it was agreed to restrict the medals to mathematicians not over forty at the year of the Congress. In 1966 it was agreed that, in light of the great expansion of mathematical research, up to four medals could be awarded at each Congress. It is largely recognized that the Fields Medal is equivalent to Nobel Prize if it were awarded to mathematicians. Enrico Bombieri
    Sergi Novikov

    Novikov obtained his first degree in 1960 and then became a research student at the Steklov Institute of Mathematics in Moscow. In 1960-61 he [5]:- ... studied the writings of Whitney, Pontryagin, Thom and Milnor, all of which are written with great clarity. The completeness of the proofs in these papers was achieved with no detriment to understanding and without any artificial formalisation.

    70. Russian Academy Of Sciences / History / Restoration Of The Russian Academy Of Sc
    mathematical logic, and in the mathematical theory of optimal control (Andrei N. Kolmogorov, Sergei L. Sobolev, Ivan G. Petrovsky, lev S. pontryagin, Anatoly I
    http://www.pran.ru/eng/history/20021211023155history.html

    Contact information
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    ... History
    Restoration of the Russian Academy of Sciences In 1991, in connection with the changes that occurred in the political, social and economic situation in the  country, including the disintegration of the Soviet Union and the formation of the Russian Federation, the Academy received a new status in 1991 and was given back its old name: the Russian Academy of Sciences. [Decree of the President of Russian Federation of December 2, 1991]. Academician Yuri S. Osipov was elected President of the Academy.
    The scientists of the Academy made great contributions to the development of practically all directions of modern science. Developing the traditions of national scientific schools, the researchers of the Academy enriched many areas of theoretical and applied mathematics. Studies of Ivan M. Vinogradov and his school into the theory of numbers, as well as research into the theory of functions carried out by the school of Nikolai N. Luzin gained wide international recognition. New approaches were proposed in the theory of differential equations and functional analysis, in the theory of probabilities, algebra, topology, mathematical logic, and in the mathematical theory of optimal control (Andrei N. Kolmogorov, Sergei L. Sobolev, Ivan G. Petrovsky, Lev S. Pontryagin, Anatoly I. Maltsev, and others). Substantial contributions to the development of applied mathematics were made by Mikhail A. Lavrentyev, Mstislav V.Keldysh, and others. A number of problems related to mathematical applications in mechanics, economics, physics and technology were successfully solved.

    71. Newsletter 6/99
    Many great contributors to control theory in this century, including Norbert Wiener (1949), lev pontryagin (1961) and Rudolf Kalman (1961) attended the forum.
    http://icat.snu.ac.kr/IFAC/newsletter699.html
    International Federation of Automatic Control No. 6
    December
    Newsletter
    Contents
    Control and Automation Beyond the Century
    Keynote Speech given at the Opening of the 14th IFAC World Congress in Beijing, China, P.R., by Jian Song, Chinese Academy of Sciences
    It is a great honor for the Chinese science and engineering communities to host the 14th IFAC World Congress in Beijing, PRC, the last congress in this century. I would like, on behalf of the Chinese scientific and engineering communities, to express my warmest welcome to all of you, colleagues, friends and your spouses from all over the world. IFAC is 42 years old this year. Its Executive Council was established in 1957, and China was one of its founder members. I had to honor to attend the first Congress in Moscow in 1960. I still remember vividly that grand gathering, which finally pronounced the birth of IFAC to the world. Many great contributors to control theory in this century, including Norbert Wiener (1949), Lev Pontryagin (1961) and Rudolf Kalman (1961) attended the forum. Dr. H.S. Tsien (1954), a pioneer for engineering cybernetics was elected a Council member representing China. On that occasion, to the disappointment of many, Dr. Tsien was not able to be present at the Moscow Congress, because he had then been leading China's fledgling space program entrusted by the country's leadership.

    72. A La Mémoire De Jacques-Louis Lions
    lev Semenovitch pontryagin, Ilia Vekua, Mark
    http://acm.emath.fr/congres-jllions/ciarlet.html
    [Accueil] Jacques-Louis Lions English
    Jacques-Louis LIONS
    Philippe G. Ciarlet
    [Accueil]
    Jacques-Louis Lions English

    73. Www.MagFind.com - Your LIFE Magazine Specialists On The Web
    Borisova, Muscle Man Yuri Vlasov, Sculptor Sergei Konenkov, Novelist Konstantin Paustovsky, Writer Leonid Leonov, Blind Master lev pontryagin Newton Minow
    http://www.magfind.com/magfind/magfind.nsf/0/e30cdc68dabe71750525689900586b71?Op

    74. AVH - ASSOCIATION VALENTIN HAÜY
    lev Semenovich pontryagin (1908-1988), devenu aveugle à l âge de quatorze ans à la suite d un accident.
    http://www.avh.asso.fr/revues/mag.php?v=70&id=26

    75. 123PriceCheck.com - Compare Book, Music, DVD And VHS Video Prices To Get The Bes
    731) LS.pontryagin Selected Works Classics of Soviet Mathematics Algebraic and Differential Topology lev Semenovich Pontriagin 2881240356 RRP£193.00 06
    http://www.123pricecheck.com/cgi-bin/aws/displaytitles.cgi?Node=564352&SORTBY= s

    76. New Page 2
    Sir William Rowan Hamilton 18051865. lev Semenovich pontryagin 1908-1988. Pictures collected from. The MacTutor History of Mathematics archive.
    http://www.itk.ntnu.no/fag/TK8101/links.htm
    Some famous contributors to our course ... Leonhard Euler 1707-1783 Joseph-Louis Lagrange 1736-1830 Sir William Rowan Hamilton 1805-1865 Lev Semenovich Pontryagin 1908-1988 Pictures collected from The MacTutor History of Mathematics archive

    77. MATHEMATICS AND WAR
    Perhaps lev Semyonovich pontryagin s (19081988) mathematical work has had the greatest influence on peace and war in the 20th century.
    http://mmf.ruc.dk/~booss/mathwar/bb_mathwar.htm
    MATHEMATICS AND WAR Draft Essay for Hutchinson Companion Encyclopedia of Mathematics Bernhelm Booss-Bavnbek, Roskilde University (Denmark) In his farewell Anniversary Address (30 November 1995) as leaving President of the Royal Society, Sir Michael F. Atiyah (1929-) devotes quite some lines to the interrelations between science and military. He emphasizes that "the atomic bomb was unique in many respects, particularly in the speed with which a discovery in fundamental physics was put to use... No longer would scientists, conducting pure research for its own sake, be ignored on the grounds that their work was not relevant to the real world. The ivory tower was no longer a sanctuary..." He expresses his delight about "the large number of British scientists who publicly refused to have anything to do with the infamous 'Star Wars' research of the Reagan era. The British Government of the time encouraged our scientists to apply for American funds for this purpose, but many refused because they believed the whole project was scientifically doubtful, economically wasteful and politically destabilising." We consider here mathematics as a bellicose art. We address:

    78. The Princeton Mathematics Community In The 1930s : Index Of Names
    Everett 1116 15-3,4 18-15 34-5 Poincare, Henri 6-2 31-4 33-3 Polya, George 8-4 26-3 Pondiczery, Ersatz Stanislaus 41-14,15 pontryagin, lev Semenovich 6-4 8-3
    http://infoshare1.princeton.edu/libraries/firestone/rbsc/finding_aids/mathoral/p
    The Princeton Mathematics Community in the 1930s
    ©The Trustees of Princeton University, 1985
    INDEX OF NAMES
    The number of the transcript is given first, followed by the page number for that transcript. Thus 16-23 is a reference to page 23 of transcript 16. (The designation (PMC16) 23 appears at the bottom of that page.) The transcript number is not repeated when, for a given name, there are references to several pages of the same transcript. The transcripts are in numerical order. (The name of the person being interviewed is not indexed for that interview. The occurrences of Albert Tucker's name are indexed only for those interviews in which he did not take part.) A B C D ... Z A
    Ackermann, W. Adams, C.R., [mathematician at Brown] Adams, Edwin Plimpton Addison, John Agnew, Ralph P. Ahlfors, Lars V. Albert, Adrian A. Alder, Henry Alexander, J(ames) W(addell) Alexander, Mrs. James, [wife of J.W. Alexander] Alexander, Mrs. John, [mother of J.W. Alexander] Alexandroff, Paul Alfing Alfven, H. Alger, P(hilip) L(angdon) Allen, R.G.D.

    79. Editorials
    Specifically, he pointed to optimality theory, developed simultaneously by Richard Bellman ( Principle of Optimality , 1958) and lev pontryagin ( The Maximum
    http://www.isip.msstate.edu/publications/journals/ieee_spmag/1999/editorial/

    80. TutorGig.com Encyclopedia Pontryagin Duality
    The theory, introduced by lev pontryagin and combined with Haar measure by André Weil , depends on the theory of the dual group and is its expression in the
    http://www.tutorgig.com/encyclopedia/getdefn.jsp?keywords=Pontrjagin_dual

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