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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

41. Neue Seite 1
Translate this page Poncelet, Jean Victor (1788 - 1867). pontryagin, lev (1908 - 1988). Poretsky,Platon (1846 - 1907). Porta, Giambattista Della (1535 1615).
http://www.mathe-ecke.de/mathematiker.htm
Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843) Aepinus, Franz Ulrich Theodosius (13.12.1724 - 10.8.1802) Agnesi, Maria (1718 - 1799) Ahlfors, Lars (1907 - 1996) Ahmed ibn Yusuf (835 - 912) Ahmes (um 1680 - um 1620 v. Chr.) Aida Yasuaki (1747 - 1817) Aiken, Howard Hathaway (1900 - 1973) Airy, George Biddell (27.7.1801 - 2.1.1892) Aithoff, David (1854 - 1934) Aitken, Alexander (1895 - 1967) Ajima, Chokuyen (1732 - 1798) Akhiezer, Naum Il'ich (1901 - 1980) al'Battani, Abu Allah (um 850 - 929) al'Biruni, Abu Arrayhan (973 - 1048) al'Chaijami (? - 1123) al'Haitam, Abu Ali (965 - 1039) al'Kashi, Ghiyath (1390 - 1450) al'Khwarizmi, Abu Abd-Allah ibn Musa (um 790 - um 850) Albanese, Giacomo (1890 - 1948) Albert von Sachsen (1316 - 8.7.1390)

42. Untitled
Translate this page il noua des liens durables avec d'éminents mathématiciens soviétiques, telsque Guri Marchuk, Olga Oleinik, lev Semenovitch pontryagin, Ilia Vekua, Mark
http://smai.emath.fr/matapli/66/ciarlet.php
Jacques-Louis LIONS
Philippe G. Ciarlet

43. 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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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.

44. 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.

45. MATHEMATICS AND WAR
Perhaps lev Semyonovich pontryagin's (19081988) mathematical work hashad 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:

46. Algebraic Conference In Ukraine
VV.Kirichenko, GO.Tsejtlin, ID.Ivanyuta (first schoolboy lev Arkadjevich in Categorythe version of the theorem Lifshits Nobelin - pontryagin (NN Zarichny
http://algebra.hypermart.net/eng/second.html
Conferences News All word Links Persones ... Algebraic conference in Ukraine THE SECOND INTERNATIONAL ALGEBRAIC CONFERENCE In UKRAINE DEVOTED to MEMORY of the PROFESSOR L.A.KALOUJNINE. The basic representation of a conference was arguing and estimation of a condition of the basic directions of researches in Ukraine in modern algebra and its application. Prior to the beginning a conference the collection of the theses and reports sent on a conference, with a title "The Second international algebraic conference in Ukraine devoted to memory of the professor L.A.Kaloujnine (1914-1990)" and collections of materials and memories about L.A.Kaloujnine was issued in which some original materials from other issuings, for example, written to 150-eags of the Kiev university also are reprinted and 25-years of faculty of algebra and mathematical logic paper L.A.Kaloujnine, S.T.Zavalo, Yu.A.Drozd from a magazine "the Bulletin of the Kiev university" for 1984. In work of a conference took part 86 algebraicmen from different cities of Ukraine, and also from Byelorussia, Bulgaria, Moldova, Canada, Poland, Russia. Most representative on a Vinnitsa part of a conference was the Lvov algebraic school (26 participants). After that the memories about L.A.Kaloujnoine have informed AS of Republic Belaruss, rector of the Gomel university Skoriny L.O.Shemetkov, terms - correspondents NAS of Ukraine of the professor N.J.Yadrenko and N.O.Perestuk, professor P.M.Gudivok, V.V.Kirichenko, G.O.Tsejtlin, I.D.Ivanyuta (first schoolboy Lev Arkadjevich in Ukraine), employee of institute cibernetics NAS of Ukraine N.N.Glazunov.

47. Jacques-Louis LIONS, 1928-2001
he initiated manifold scientific exchanges with eminent soviet mathematicians suchas Guri Marchuk, Olga Oleinik, lev Semenovitch pontryagin, Ilia Vekua, Mark
http://www.worldscinet.com/cam/23/2302/S0252959902000146.html
What's New New Journals Browse Journals Search ... Advertising Enquiries
Chinese Annals of Mathematics, Vol. 23, No. 2 (2002) 137-148
Jacques-Louis LIONS, 1928-2001
PH. G. CIARLET Jacques-Louis Lions was born in the heart of Provence in the charming city of Grasse, much renowned for its perfume industry and its historical center.
Their son Pierre-Louis, who was born in 1956, would also be distinguished by mathematical talent. This gift earned him the highest mathematical distinction, the Fields Medal, awarded to him during the 1994 International Congress of Mathematicians in Zurich. His parents had the great joy of being present for this unique occasion.
At the early age of nineteen, Jacques-Louis Lions passed the entrance exam to the highly coveted Ecole Normale Supérieure de la rue d'Ulm. There he met Bernard Malgrange among others and at the end of their studies, they both decided to opt for a university carrier in mathematics (a rather uncommon choice at a time when most "Normaliens" would rather teach the famed "classes de Mathématiques Spéciales" in the lycées). They were then awarded a grant by CNRS (National Center for Scientific Research) to prepare their doctoral dissertations. And so they both went to Nancy to work under the guidance of a prestigious thesis advisor, Laurent Schwartz, who had just received the Fields Medal for his theory of distributions in 1950.
After defending his thesis in 1954, Jacques-Louis Lions began his career "en province", which is to say outside of the Paris region as was then customary, at the University of Nancy, where he held a professorship from 1954 to 1962.

48. Editorials
Specifically, he pointed to optimality theory, developed simultaneously by RichardBellman ( Principle of Optimality , 1958) and lev pontryagin ( The Maximum
http://www.isip.msstate.edu/publications/journals/ieee_spmag/1999/editorial/
FROM THE GUEST EDITOR
During my undergraduate studies, a professor I greatly admired (perhaps feared would be a better word) once told me that optimization theory was perhaps one of the most important advances of this century. Specifically, he pointed to optimality theory, developed simultaneously by Richard Bellman ("Principle of Optimality", 1958) and Lev Pontryagin ("The Maximum Principle", 1959) as a fundamental breakthrough in optimization theory. It is hard to underemphasize the impact on society of these advances. Every time you make a telephone call, travel reservation, stock transaction, or purchase at the supermarket, you are benefiting from advances in optimization theory. Modern manufacturing processes are dominated by optimization engines today (what is the best way to cut a tree so that it yields the most lumber?). Problems such as speech recognition would be far beyond the capabilities of even today's most powerful computers without innovations such as dynamic programming (DP).
The two featured papers in this issue deal with the problem of search in speech recognition. Search is perhaps the single most important part of a speech recognizer today. The search algorithms in use today are rooted in dynamic programming (DP). However, we must add many enhancements to these algorithms beyond classic DP to even approach a system capable of performing the tasks embodied in commercial products such as Dragon Systems' Naturally Speaking or IBM's ViaVoice. A reasonable analogy might be DP is to search what wheels are to an automobile. There is a lot more to an automobile beyond its spinning wheels.

49. Brooklyn Public Library /All Locations
1908 1 pontryagin, LS (lev Semenovich), 1908- See Pontriagin, LS (lev Semenovich),1908- 1 pontryagin, lev Semenovich, 1908- See Pontriagin, LS (lev
http://catalog.brooklynpubliclibrary.org:90/kids/10,505,713,815,841/search/aPont
KEYWORD AUTHOR TITLE SUBJECT Mark Nearby AUTHORS are: Year Entries Pontrjagin, L. S., 1908- See Pontriagin, L. S. (Lev Semenovich), 1908-
Pontrjagin, Lev S., 1908- See Pontriagin, L. S. (Lev Semenovich), 1908-
Pontryagin, L. S. (Lev Semenovich), 1908- See Pontriagin, L. S. (Lev Semenovich), 1908-
Pontryagin, Lev Semenovich, 1908- See Pontriagin, L. S. (Lev Semenovich), 1908-
Pontsh, Re'uven See Pauncz, Ruben
Pontulu, Kandukuri Veeresalingam, 1848-1919 See V¯ir¯esalingam, Kanduk¯uri, 1848-1919
Pontusson, Jonas.
Ponty, Clara. Ponty, J. L. (Jean Luc), 1942- See Ponty, Jean Luc, 1942-
Ponty, Jacques Merleau- See Merleau-Ponty, Jacques
Ponty, Jean Jacques Maurice Merleau-, 1908-1961 See Merleau-Ponty, Maurice, 1908-1961
Ponty, Jean Luc, 1942-

50. Amazon: Topology
Algebraic and Differential Topology (LS.pontryagin Selected Works, Vol3); lev Semenovich pontryagin; Hardcover; $183.00 (Special Order).
http://www.maa.org/amazon/topology/topology1.html
Topology books available from Amazon
Combinatorial Group Theory and Topology (Annals of Mathematics Studies, No 111) Vol 111 ; John R. Stallings (Editor), S. M. Gersten; Hardcover; $75.00 Elementary Topology ; Michael C. Gemignani; Paperback; $6.36 Elements of Point Set Topology (Dover Books on Advanced Mathematics) ; John D. Baum; Paperback; $5.56 Elements of the Topology of Plane Sets of Points ; M. H. A. Newman; Paperback; $5.56 Experiments in Topology ; Stephen Barr; Paperback; $5.56 A First Course in Geometric Topology and Differential Geometry ; Ethan D. Bloch; Hardcover; $64.50 Fractals Everywhere ; Michael F. Barnsley; Hardcover; $34.97; Read more about this title... A General Topology Workbook ; Iain T. Adamson; Paperback; $29.50 Geometry of Four-Manifolds (Oxford Mathematical Monographs) ; P.B. Kronheimer, S. K. Donaldson; Hardcover; $90.00 The Hauptvermutung Book : A Collection of Papers of the Topology of Manifolds (K-Monographs in Mathematics, V. 1) ; Andrew Ranicki (Editor), et al; Hardcover; $108.00 How Surfaces Intersect in Space : An Introduction to Topology (Series on Knots and Everything - Vol. 2)

51. FROM INTEGRABLE MODELS TO GAUGE THEORIES
A pedagogical essay by lev Okun concentrates on the problem of Winding Number VersusChern–pontryagin Charge (T Tchrakian); Magnetically Induced VacuumEnergy
http://www.wspc.com/books/physics/4939.html
A Volume in Honor of Sergei Matinyan Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Keyword Author Concept ISBN Series New Titles Editor's Choice Bestsellers Book Series ... Join Our Mailing List FROM INTEGRABLE MODELS TO GAUGE THEORIES
A Volume in Honor of Sergei Matinyan

edited by V G Gurzadyan (University of Rome "La Sapienza", Italy) (Yerevan Physics Institute, Armenia)
This collection of twenty articles in honor of the noted physicist and mentor Sergei Matinyan focuses on topics that are of fundamental importance to high-energy physics, field theory and cosmology. The topics range from integrable quantum field theories, three-dimensional Ising models, parton models and tests of the Standard Model, to black holes in loop quantum gravity, the cosmological constant and magnetic fields in cosmology. A pedagogical essay by Lev Okun concentrates on the problem of fundamental units. The articles have been written by well-known experts and are addressed to graduate students and researchers.
Contents:
  • 3D Ising Model on Dual BCC Lattice: The Sign-Factor (J Ambjorn et al.)

52. Untitled Document
Translate this page Bolza *Willian Fogg Osgood *Maurice René Fréchet *Constantin Carathéodory *MikhaiVasilevich Ostrogradski *Naum Il'ch Akhiezer *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) :

53. E-access Bulletin, News And Research On Technology For The Blind And Visually Im
this point are the large number of blind people among the mathematical greats peoplesuch as Leonhard Euler, Nicholas Saunderson, lev pontryagin, Alfred Loewy
http://www.e-accessibility.com/issues/jan2002.html
news our privacy promise
ISSUE 25, JANUARY 2002
IN THIS ISSUE:
Section One: News Mobile industry to guide itself Classic heist movie captured in words Call for European Treaty reform Government site updated, at last ; ... News in brief: Irish disability bill; Keyboard tutorials; accessibility monitoring. .Section Two: 'The inbox'
-A complilation of readers emails

Section Three: Focus. Mathematics
- Beyond pencil and paper.

Section Four: Conference report
- Design for all: Motivating the universal designer.

Section Five: Law.
- Access legislation jigsaw nears completion
SECTION ONE: NEWS But many display a good grasp of accessibility including clear, resizable text; helpful information about how to navigate the site; pages dedicated to accessibility, and invitations for feedback on accessibility issues. All in all, council sites are ahead of commercial sites for accessibility, the report finds. The accessibility assessments were carried out for SOCITM by the charity AbilityNet ( http://www.abilitynet.co.uk

54. 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/Die3913/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

55. Foundations Of Combinational Topology
i think pontryagin was a truly educational teacher. lev here develops very comprehensivelythe basic properties of polyhedra, as well as many of their basic
http://www.wkonline.com/a/Foundations_of_Combinational_Topology_0486406857.htm
Book > Foundations of Combinational Topology Foundations of Combinational Topology
by Authors: L .S. Pontryagin
Released: March, 1999
ISBN: 0486406857
Paperback
Sales Rank:
List price:
Our price:
Foundations of Combinational Topology > Customer Reviews: Average Customer Rating:
Foundations of Combinational Topology > Customer Review #1: readable
proofs are very detailed almost pedagogic. the author always points out the goal first then digs in. the only flaw is its visual presentation - rather condensed type set. i think Pontryagin was a truly educational teacher. good for self study. Foundations of Combinational Topology > Customer Review #2: A cheap classic by one of the masters This book covers, as the title says, the foundations of combinatorial topology. What that refers to, essentially, is the topology of polyhedra and the machinery of simplicial homology groups. The first part of the book establishes the basic facts about these topological spaces and about abstract complexes as well. The second part shows the topological invariance of simplicial homology. The third features applications of the material to fixed point theory. Throughout the book there is also a recurring digression on dimension theory, which culminates in a proof of the very non-trivial fact that manifolds have the appropriate topological dimension.

56. Www.gesta.org/eaccess/25_0102pt.txt
Translate this page provar isto mesmo, está o grande número de cegos licenciados em matemática -pessoas como Leonhard Euler, Nicholas Saunderson, lev pontryagin, Alfred Loewy
http://www.gesta.org/eaccess/25_0102pt.txt
* Boletim E-Access Boletim electrónico on-line de notícias sobre tecnologia para pessoas com deficiência visual. Endereço do Boletim E-Access: Patrocinado pelo Royal National Institute for the Blind: o National Library for the Blind (Biblioteca Nacional para os cegos): e a Guide Dogs for the Blind Association (Associação de Cães-Guia para cegos): Versão portuguesa: cortesia do GESTA-MP (Grupo de Estudos Sociais, Tiflológicos e Associativos) Divulgue, por favor, este boletim pelos seus amigos e colegas, e diga-lhes que o podem subscrever em Português, bastando para tal enviar uma mensagem para o endereço electrónico: Pode ainda colocar uma lista de endereços, potenciais leitores, no corpo da mensagem. Encoraje, por favor, todos os seus amigos para assinar! Para retirar o seu endereço da lista Portuguesa do E-Access, envie uma mensagem para:

57. 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
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.

58. Istituto F. Cavazza
Translate this page Prova ne sia il gran numero di ciechi fra i grandi della matematica persone comeLeonhard Euler, Nicholas Saunderson, lev pontryagin, Alfred Loewy, Stephen
http://www.cavazza.it/eab/eabgen02.php3
Il notiziario e-mail sugli strumenti tecnologici per persone ipovedenti e non vedenti.
Sito web di accesso per il notiziario in lingua inglese: http://www.e-accessibility.com Sito web di accesso per il notiziario in lingua italiana: http://www.cavazza.it/eab
Sponsorizzato dal Royal National Institute for the Blind http://www.rnib.org.uk dalla National Library for the Blind http://www.nlbuk.org e dalla Guide Dogs for the Blind Association http://www.guidedogs.org.uk
Vi preghiamo di diffondere questo notiziario tra gli amici e i colleghi, in modo che possano abbonarsi inviando una e-mail a: mailto:eab-it-subs@headstar.com Tutti i particolari sono riportati alla fine del notiziario.
[Inizio del notiziario].
* Numero 25, Gennaio 2002
* IN QUESTO NUMERO:
Notizie:
- revisione annuale dei siti web dei diversi Consigli inglesi.
- le aziende si scambiano le migliori idee pratiche.
Richiesta di riforma del Trattato Europeo Finalmente aggiornato il sito governativo - rilanciato il sito disability.gov.uk - La corrispondenza dei lettori. Sezione tre: Servizio speciale. La matematica: non solo carta e matita.

59. Publications 1990-2001
(Russian) Dedicated to Academician lev Semenovich pontryagin on the occasionof his 90th birthday (Russian). Tr. Mat. Inst. Steklova 224 (1999), Algebra.
http://unix.cc.wmich.edu/~ledyaev/publ.html
Publications 1990-2001
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J. Feedback stabilization and Lyapunov functions. SIAM J. Control Optim. 39 (2000), no. 1, 2548.
Lakshmikantham, V.; Ledyaev, Yu. S. Proximal(sub-)differential inequalities. Nonlinear Anal. 39 (2000), no. 2, Ser. A: Theory Methods, 111133.
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J. Proximaltechniques of feedback construction. Dynamical systems and differential equations, Vol. I (Springfield, MO, 1996). Discrete Contin. Dynam. Systems1998, Added Volume I, 177194.
Clarke, F.H.; Ledyaev, Yu. S.; Subbotin, A. I. Universal positional control and proximal aiming in control problems under perturbations and in differential games. (Russian) Dedicated to Academician Lev Semenovich Pontryagin on the occasion of his 90th birthday (Russian). Tr. Mat. Inst. Steklova 224 (1999), Algebra. Topol. Differ. Uravn. i ikh Prilozh., 165186.
Ledyaev, Yuri S.; Zhu, Qiji J. Implicit multifunction theorems. Set-Valued Anal. 7 1999), no. 3, 209238
Ledyaev, Yuri S.; Sontag, Eduardo D. A Lyapunov

60. Www.math.auckland.ac.nz/~wilson/Personal/quiz
14. Hypatia. 15. Canadian. 16. 16th. 17. lev pontryagin. 18. Norbert Wiener; PaulHalmos. 19. Norbert Wiener. 20. FrancoPrussian war of 1870. 21. Jean Leray.
http://www.math.auckland.ac.nz/~wilson/Personal/quiz
[Mathematical trivia quiz] [By Mark Wilson. No responsibility taken for silly questions, bogus answers, etc] Give the first names of the following mathematicians: Legendre, Laplace, Lagrange, Newton, Lie, Klein, Hilbert, Poincare, Leray, Kolmogorov, Faltings, Donaldson, Atiyah, Fibonacci, Leibniz, Chebyshev, Cauchy, Milnor, Napier, Fourier, Monge, d'Alembert, Riemann, Wedderburn, Hardy, Brouwer. 1. Who stated the Erlanger Programm in 1872, and what was its central idea? 2. Which mathematician was Emil Artin's son-in-law? 3. State the (generalized) Poincare conjecture. Who proved it in dimension 4? 4. Name the 1986 Fields' medallists. 5. Which famous American mathematician had artificial hands? 6. Who wrote 'Space, Time, Matter' ? 7. What was Gauss's famous motto? 8. The nephew of which founding member of Bourbaki is (in)famous for his publicity of fractals? 9. What is the name of the lobby at Gottingen containing the bust of Hilbert? 10. Whose name is usually attached to the Schubfachprinzip (pigeonhole principle)? 11. Which great American differential topologist died in 1989? 12. Who was the first director of MSRI, and who was his Ph.D supervisor? 13. Who looked like "a nearsighted washerwoman" ? 14. Which famous female mathematician was brutally murdered by a Christian sect? 15. What nationality was Fields, of medal fame? 16. In which century was the modern = sign adopted? 17. Which great Soviet mathematician of this century was blind and anti-Semitic? 18. Who wrote 'I am a Mathematician' ? 'I want to be a Mathematician' ? 19. Who invented the term cybernetics? 20. In which war was Sophus Lie arrested as a German spy? 21. Who "revolutionized topology while in a WW2 prisoner-of-war camp" ? 22. Who published 'General investigations into curved surfaces' in 1827? 23. Which proponent of rigour in analysis overlooked the concept of uniform convergence in his 1821 text? 24. What happened to Felix Klein which ended his career as a researcher in 1883? 25. Who first showed the correspondence between Boolean algebras and Boolean rings? 26. Who developed linear and multilinear algebra decades ahead of his time? 27. Who systematically developed the theory of group representations in the 1890's? 28. Who wrote 'The Sand Reckoner' ? 29. Which Indian mathematician died in 1987, having done much fundamental work on representations of semisimple Lie groups? 30. Which famous philosopher was born in Konigsberg 138 years before Hilbert? 31. Which Nazi activist, whose work relates to quasiconformal mapping, died in 1941 aged 28? 32. Who were the first 2 recipients of the Fields' medals, in 1936? 33. Which "prima donna of mathematics" referred to applied mathematics as 'Schmierol' (grease)? 34. Who tied for the French Academy prize in 1881, aged 17? 35. What was Poincare doing when he realized the connection between hyperbolic geometry and Fuchsian groups? 36. Name the first 6 mathematics professors of the Institute for Advanced Study in Princeton. 37. Which future peer proved transcendence of pi in 1882? 38. Name the theorem: An everywhere-defined symmetric operator on a Hilbert space is self-adjoint. 39. Who first gave, in 1957, an explicit example of a PDE with smooth coefficients which has no (distributional) solution? 40. Hilbert's 5th problem asks whether every locally Euclidean group is a Lie group. In which year was it solved? 41. What did Paul Cohen do in 1963 to warrant the Fields' medal? 42. Who was the chief developer of the the representation theory of Banach algebras in the early 1940's? 43. Gerd Faltings got the Fields' medal for proving Mordell's conjecture. What was it? 44. Who showed that, for differential manifolds, diffeomorphism is a stricter classification than homeomorphism? 45. Which important concept of analysis was discovered by Seidel in 1847, having been missed by Abel and Cauchy among others? 46. What, according to Legendre, was "a monument more lasting than bronze" ? 47. Apart from his earlier work in differential topology, for what is Rene Thom famous? 48. What did Kruskal and Zabusky discover in 1965 when studying nonlinear D.E. by computer? 49. Which mathematician's collected works are by far the largest? 50. Who were the 'invariant trinity' of 19th century British mathematics? 51. Walter Feit and John Thompson proved Burnside's conjecture in 1963, the proof occupying an entire journal issue. What was the conjecture? 52. Who, in 1890, mapped the unit interval continuously onto the unit square, thereby demolishing the current definition of 'dimension'? 53. For work on which problem in celestial mechanics did Poincare win the prize of 2500 crowns offered by King Oscar II of Sweden in 1887? 54. Which early topologist created intuitionism? 55. Louis de Branges proved Bieberbach's conjecture in 1984. What was it, in words? 56. Who said "I see it but I do not believe it" after showing that euclidean 1-space and n-space have the same cardinality for all n? 57. Who is usually credited with discovering the famous V - E + F= 2 formula for polyhedra in the 17th century? 58. Who, in 1844, exhibited the first known transcendental number? 59. Both the brachistochrone and tautochrone problem had a certain well-known curve as their solution. What was it? 60. Which two mathematicans, who each lived to be over 90, proved the Prime Number Theorem in 1896? 61. The cousin of which famous mathematician was premier of France during WW I? 62. Which Swede developed a theory of integral equations in the late 1890's which was generalized by Hilbert and the Gottingen school during the next decade? 63. Who introduced the concept of metric space in his 1906 thesis? 64. Which Texas topologist wrote "Mathematics as a Cultural System"? 65. Who heard about Russell's paradox, which in effect scuttled his book on set theory, when the book was already in the press? 66. Who wrote "Algebraic Theory of fields" (in German) in 1910? 67. Which French analyst of the early 20th century had a gold nose? 68. Which Russian topologist drowned off Brittany in 1924 at the age of 26? 69. Which mathematician was a member of the 1908 Danish Olympic soccer team? 70. Which French mathematician got his name from the fact that he was found as a baby on the steps of the church of St Jean le Rond? 71. Which theorem of Gauss did he call his "Theorema Aurema" ? 72. The Lasker of Lasker-Noether is better known as world champion in which sport for 27 years? ANSWERS Adrien-Marie, Pierre-Simon, Joseph-Louis, Isaac, Marius Sophus, Christian Felix, David, Jules Henri, Jean, Andrei Nikolaievich, Gerd, Simon, Michael Francis, Leonardo Pisano, Gottfried Wilhelm, Pafnuti Lvovich, Augustin Louis, John, William, Gaspard, Jean-Baptiste Joseph, Jean le Rond, Georg Bernhard, Joseph Henry MacLagan, Godfrey Harold, L Egbertus Johannes? 1. Felix Klein; geometries should be studied via their automorphism groups. 2. John Tate. 3. A simply-connected n-manifold without boundary having the same homology groups as an n-sphere is homeomorphic to an n-sphere; Michael Freedman. 4. Gerd Faltings, Michael Freedman, Simon Donaldson. 5. Solomon Lefschetz. 6. Hermann Weyl. 7. Pauca sed matura (few but ripe). 8. Szolem Mandelbrojt. 9. Hilbertraum. 10. P.G.L. Dirichlet. 11. Hassler Whitney. 12. Irving Kaplansky; Saunders Mac Lane. 13. Emmy Noether. 14. Hypatia. 15. Canadian. 16. 16th. 17. Lev Pontryagin. 18. Norbert Wiener; Paul Halmos. 19. Norbert Wiener. 20. Franco-Prussian war of 1870. 21. Jean Leray. 22. Gauss. 23. Cauchy. 24. Nervous breakdown caused by competition with Poincare. 25. Marshall Stone. 26. Hermann Grassmann. 27. Georg Frobenius. 28. Archimedes. 29. Harish-Chandra. 30. Immanuel Kant. 31. Oswald Teichmuller. 32. Lars Ahlfors and Jesse Douglas. 33. Edmund Landau. 34. Hermann Minkowski. 35. Stepping onto a bus. 36. Einstein, Morse, Alexander, von Neumann, Weyl, Veblen. 37. Ferdinand Lindemann, later Lord Cherwell. 38. Hellinger-Toeplitz theorem. 39. Hans Lewy. 40. 1952 (by Gleason, Montgomery and Zippin). 41. He showed that the axiom of choice and the continuum hypothesis are independent of Zermelo-Fraenkel set theory. 42. I. M. Gelfand. 43. Every equation of genus at least 2 has only finitely many rational points. 44. John W. Milnor, in 1956. 45. Uniform convergence. 46. Abel's memoir on elliptic functions. 47. Being a proponent of catastrophe theory. 48. Solitons. 49. Euler. 50. Cayley, Sylvester and Salmon. 51. Every nonabelian simple group has even order. 52. Guiseppe Peano. 53. Stability of the solar system. 54. L.E.J. Brouwer. 55. The nth Taylor coefficient of a schlicht function has modulus at most n. 56. Georg Friedrich Cantor. 57. Rene Descartes (see Lakatos, 'Proofs and Refutations' for the convoluted history of this formula). 58. Joseph Liouville. 59. Cycloid. 60. Jacques Hadamard and Charles de la Vallee-Poussin. 61. Poincare. 62. Ivar Fredholm. 63. Maurice Frechet. 64. Raymond Wilder. 65. Gottlob Frege. 66. Ernst Steinitz. 67. Gaston Julia. 68. P. Urysohn. 69. Harald Bohr. 70. Jean le Rond d'Alembert. 71. The law of quadratic reciprocity. 72. Chess. Who are we quoting (often in translation)? 1. We must know. We shall know. 2. I turn away in fear and horror from this lamentable plague of functions having no derivatives. 3. Just go on, and faith will soon return. 4. A quantity which is diminished or increased by an infinitely small quantity is neither increased nor decreased. 5. The hypothesis of the acute angle is absolutely false, being repugnant to the nature of the straight line. 6. I fear the cries of the Boeotians... 7. The divine spirit found a sublime outlet in that wonder of analysis, that portent of the ideal world, that amphibian between being and not-being, which we call the imaginary root of negative unity. 8. God ever arithmetizes. 9. One must be able to say at all times, instead of points, lines and planes, tables, chairs and beer mugs. 10. God made the integers - all else is the work of man. 11. I was, for a time, the fifth best pure mathematician in the world. 1. David Hilbert. 2. Charles Hermite. 3. Jean le Rond d'Alembert. 4. Johann Bernoulli. 5. Girolamo Saccheri, being unable to derive a contradiction after dropping Euclid's parallel axiom (Euclid Freed of Every Flaw, 1733). 6. J.C.F. Gauss, on why he did not publicize his knowledge of the existence of noneuclidean geometries. 7. G.W. Leibniz (a lot of words to describe i). 8. Carl Gustav Jacob Jacobi. 9. David Hilbert, speaking of the axiomatic method in geometry. 10. Leopold Kronecker. 11. G.H. Hardy.

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