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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. DE VISU. Historia Del Braille
Translate this page lev Semenovich pontryagin (1908-1988) nacido en Moscú, de familia de escasosrecursos, estudió en escuelas de nivel académico bajo.
http://members.tripod.com/DE_VISU/brlhist.html
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DE VISU
Información sobre y para personas ciegas o con deficiencia visual
Historia del Braille
Busto de bronce de Louis Braille por Etienne Leroux en Coupvray, Francia. Louis Braille nació el 4 de enero de 1809, en Coupvray, cerca de París. Privado de la vista por un accidente a los 3 años, fue enviado a la Escuela para Ciegos de París, creada por Valentin Hauy, donde hizo rápidos progresos en todos sus estudios. En 1826, siendo un prominente organista en una iglesia de París fue electo profesor de la institución. Louis Braille dedicó mucho de su tiempo libre, como alumno y como profesor, a hallar un sistema que permitiera al ciego escribir en relieve, adaptando la idea de Charles Barbier de la Serre, un oficial de artillería francés Existen varios ejemplos en la historia de personas que han logrado superar las limitaciones de la ceguera. Aunque no puedan considerarse como la norma, no es menos cierto que pueden darnos una idea de lo que puede lograr la voluntad humana... Yo particularmente no tenía idea de que algunos de estos personajes fuera ciego... y ustedes? Joseph Antoine Ferdinand Plateau (1801-1883), nació en Bélgica y muchos escolares le conocen indirectamente por su relación con las llamadas figuras de Plateau, esas figuritas divertidas que a veces haciamos en el colegio con agua jabonosa y una figura de alambre. Aunque Plateau era físico, se le cita a menudo en matemática en relación al llamado Problema de Plateau, el cual tiene que ver con la teoría de superfícies mínimas. Plateau no tenía en su época herramientas matemáticas para trabajar este problema, el cual fue resuelto posteriormente por otros matemáticos. Plateau incursionó también en matemática escribiendo algunos trabajos sobre teoría de números. El caso es que él estuvo ciego la segunda mitad de su vida.

62. [Blindmath] Blind Mathematicians
The most famous of these is lev Semen ovich pontryagin (1908–1988), who wentblind at the age of fourteen as the result of an accident.
http://www.nfbnet.org/pipermail/blindmath/2005-June/000896.html
[Blindmath] Blind mathematicians
Judy Fisher jejudy at hotmail.com
Wed Jun 1 03:26:10 CDT 2005

63. [Blindmath] Blind Mathematicians
The most famous of these is lev Semen ovich pontryagin (1908-1988), who wentblind at the age of fourteen as the result of an accident.
http://www.nfbnet.org/pipermail/blindmath/2005-June/000904.html
[Blindmath] Blind mathematicians
Laura Eaves leaves1 at carolina.rr.com
Fri Jun 3 04:44:40 CDT 2005 Thank you for posting this very fascinating article it's definitely a keeper. You know, I believe I wrote a letter to Dr Baggett in Colorado when I was still in high school, in order to find out how he was able to function in his job as a professor without sight. (I had just chosen math as my major in college and was extremely excited to learn of a blind mathematician so close to where I lived (then in Arizona). )He wrote back a very nice letter which I may still have, but perhaps it has been lost in all the shuffle. Funny how you remember things like that as high school is such a memorable time with all the hope and aspirations. Anyway, thanks again. le - Original Message - From: "Judy Fisher" < jejudy at hotmail.com blindmath at nfbnet.org http://garnet.acns.fsu.edu/djacobso/ http://www.geom.uiuc.edu/ locate/oi. [O] The Optivers e, http://new.math.uiuc.edu/

64. Blind Bookworm: Making Math Accessible
lev Semenovich pontryagin, (1908­1988), Russian mathematician whose mostinfluential works are in topology and homotopy theory.
http://www.panix.com/~kestrell/math.html
Top of page
Making Math Accessible for Blind Students
Stay tuned to this space for a guide I am writing on the subject of making math accessible to blind and low-vision college students. Meanwhile, you can
More about Accessible Math
Geometria est archetypus pulchritudinis mundi.
(Geometry is the archetype of the beauty of the world.) Johannes Kepler (1571-1630) Blind Mathematicians Birth-Death Dates Biographical Info Nicolas Saunderson English mathematician who went blind in his first year, due to smallpox and was recommended by Isaac Newton to the Lucasian Chair of Mathematics at Cambridge. This is the famous position which Newton himself held, and which was later held by Charles Babbage, and is currently held by Stephen Hawking. Cambridge had previously denied Saunderson entrance to the university as a student due to his blindness. Leonhard Euler Swiss mathematician known by contemporaries as "Analysis Incarnate" for his ability to make calculations seemingly without effort; Euler's abilities won him a place in the courts of Frederick the Great and Catherine the Great of Russia.

65. UNM Physics And Astronomy Department Web Site
Pontr�i�agin, LS (lev Semenovich), Topological Groups by LS pontryagin,In, MA 7109. Poole, Charles Jr. Superconductivity, In
http://panda.unm.edu/library/index.php?sort_by=author&letter=p

66. Publications 1990-2005
(Russian) Dedicated to Academician lev Semenovich pontryagin on the occasion ofhis 90th birthday (Russian). Tr. Mat. Inst. Steklova 224 (1999), Algebra.
http://homepages.wmich.edu/~ledyaev/publ.html
Publications 1990-2005
Ledyaev, Yu. S. and Zhu, Q. J.,
Multidirectional mean value inequalities and weak monotonicity, J. London Math. Soc. (2),
Ledyaev, Yu. S.,On an infinite-dimensional variant of the Rashevskii-Chow theorem,
Dokl. Akad. Nauk, 398 (2004),6,735737
Deformations and flows, in Optimal control, stabilization and nonsmooth analysis,Lecture Notes
in Control and Inform. Sci.,301,299311,Springer, Berlin, 2004.
Local problems, Optimal control, stabilization and nonsmooth analysis, Lecture Notes in Control and Inform. Sci.,
301, 283297, Springer,Berlin, 2004.
Ledyaev, Yuri S., On generic existence and uniqueness in nonconvex optimal control problems, Set-Valued Anal.,
Nonlinear Anal.,43 (2001) 861882.
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. Proximal techniques of feedback construction. Dynamical

67. Lev BERKOVICH
List of Selected Publications of lev M. Berkovich Conference Dedicated tothe 90th Anniversary of LS pontryagin, Moscow, Aug 31 Sept 6., 1998, Sec.
http://www.ssu.samara.ru/~berkovich/publications.html
Curriculum Vitae Publications Preprints Links ... Demo programs
List of Selected Publications of Lev M. Berkovich
  • Transformations of variables as a method of finding enact invariant solutions of the Kolmogorov-Petrovskii-Piskunov Equation and related nonlinear heat equations "Soviet Math. Dokl., vol.32(1992) N 1, 146-150 (Translated from Dokl. Akad. Nauk USSR vol. 322 (1992) N 4, 635-640 ps
  • Factorization as a method of finding exact invariant Solutions of the Kolmagorov-Petrovskii-Piskunov Equation and the related Semenov and Zel'dovich equation "Soviet Math. Dokl." vol.45(1992), N 1 , 162-167 (Translated from Dokl. Akad. Nauk USSR , vol.322 (1992 , N 5 ,823-827 )) ps
  • SOLDE: A REDUCE package for solving of second order linear ordinarydifferential equations, "Modern Group Analysis and Problems of Mathematical Modeling", XI Russian Colloquium, June 7-11, Samara, 1993, Publishers "SamaraUniversity", 1993, 38-45 (jointly with F.L. Berkovich). ps
  • Transformation and factorization of second order linear ordinary differential equations and its implementation in REDUCE, "Publ. Elektr. Fak., University Beograd, Ser. Mat." 1995, N 6, 11-24 (with jointly Fedor (Ephraim) Berkovich). ps
  • The method of an exact linearization of n-order ordinary differential equations, "J. Nonlin. Math. Phys. (Kiev)", 1996, v. 3, N 3-4, 341-350.
  • 68. Lev BERKOVICH
    (8462) 345438, FAX (8462) 345417 lev M. Berkovich International ConferenceDedicated to the 90th Anniversary of LS pontryagin cmc.cs.msu.su/pont/; 1998.
    http://www.ssu.samara.ru/~berkovich/cv.html
    Curriculum Vitae Publications Preprints Links ... Programs
    Curriculum Vitae of Lev M. Berkovich
    Personal Information
    Birth date: September 22, 1935. Citizenship: Russia Address: official tel.: (8462) 345438, FAX (8462) 345417 Lev M. Berkovich (http://www.ssu.samara.ru/Campus/Teachers/Berkovich) e-mail: berk@ssu.samara.ru Fields of scientific involvements:
    • Ordinary Differential Equations and Applications
    • Dynamical Systems,
    • Differential Algebra,
    • Computer Algebra
      Education
    • 1962-1965 Postgraduate studies at Kuibyshev State PolyTechnic Institute
    • 1967, Candidat in Mathematics (Ph.D). My thesis: "Method of Factorization for differential operators and its application to solving of ordinary differential equations with variable coefficients", Ural State University, Sverdlovsk, 1967.
    • 1998, Moscow, MSU, Thesis for seeking Doctor in Mathematics: "Factorization, Transformations and Integrability of Ordinary Differential Equations".
      Teaching experience
    • 1974 - up to date - Professor of Algebra and Geometry Department
    • 1960 - 1974 Assistant Professor, Associate Professor at the Mathematical Department of Kuibyshev State PolyTechnic Institute

    69. France Diplomatie - Maths Dans La Vie Quotidienne
    de pontryagin obtenu par des chercheurs soviétiques (dont lev pontryagin)
    http://www.france.diplomatie.fr/culture/expositions_scientifiques/maths_quot/pag
    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

    70. Editorials
    Bellman ( Principle of Optimality , 1958) and lev pontryagin ( The MaximumPrinciple , 1959) as a fundamental breakthrough in optimization theory.
    http://www.cavs.msstate.edu/hse/ies/publications/journals/ieee_spmag/1999/editor
    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.

    71. Professor Cardy - Personalidades
    Translate this page pontryagin.jpeg lev Semenovich pontryagin – 201 visualizações. Pringsheim.jpeg AlfredPringsheim – 172 visualizações. Ramsden.jpeg
    http://www.profcardy.com/slides/cpg1.3.1/thumbnails.php?album=6&page=7

    72. ULISSE - Nella Rete Della Scienza
    Translate this page Nasce lev Semenovich pontryagin (1908-1988), matematico russo che darà importanticontributi nel campo della topologia (Fondamenti di topologia combinatoria
    http://ulisse.sissa.it/og040903.jsp

    73. Pontryagin Duality
    The theory, introduced by lev pontryagin and combined with Haar measure byAndr?eil, depends on the theory of the dual group and is its expression in the
    http://www.fact-index.com/p/po/pontryagin_duality.html
    Main Page See live article Alphabetical index
    Pontryagin duality
    In mathematics , in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general features of the Fourier transform . It places in context the observations that periodic functions have Fourier series , functions on the real line transforms that are also functions of one continuous variable, and functions on a finite abelian group can be expressed (as in fast Fourier transform techniques) as transforms of functions on an isomorphic group but with some bit-reversal . 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 language of category theory ; that is, it also includes the behaviour of frequency domains with respect to group homomorphisms. Table of contents 1 The dual group
    2 Haar measure

    3 Examples

    4 Fourier transforms in general
    ...
    9 References
    The dual group
    If G is an abelian locally compact group, we define a character of G to be a continuous group homomorphism G S . The set of all characters on G is another locally compact abelian group, the

    74. Matematica - Articoli - Interventi Di…
    Translate this page lev S. pontryagin lasciò una ricerca estremamente fruttuosa in topologia algebricaper creare la teoria del controllo. In prospettiva questo sembra essere
    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

    75. Kamenev, Lev --  Britannica Concise Encyclopedia Online Article
    lev Semenovich pontryagin University of St.Andrews Brief introduction to the lifeand works of this Russian mathematician known for his contributions to
    http://concise.britannica.com/ebc/article?tocId=9368868

    76. WXYZ
    Translate this page Bien que la méthode proposée par lev pontryagin (ci-contre) réduit le nombre despossibles, encore reste-t-il à les trouver. Texte intégral
    http://www.cmla.ens-cachan.fr/Utilisateurs/scopos/actualite.html
    et Avec la nouvelle formule (parution le 17 Octobre 2002) du journal W xyz Juin 2005 Quel est le point commun entre un atome radioactif et le bon fonctionnement d'un standard téléphonique ? Dans les deux cas, les mathématiques sous-jacentes font appel à des " processus sans mémoire " Mai 2005 La forme mouvante des implants oculaires
    en kiosque Avril 2005
    Mars 2005
    Janvier 2005
    Novembre 2004 Les images sortent du flou
    Octobre 2004 Grenouilles "in silico"
    "Ils se trompent tout le temps !" Mais à l'inverse ce ce que l'on entend, les prévisions météorologiques, stimulées par les travaux du français Urbain Le Verrier au XIX° siècle, ont gagné en qualité au cours des dernières années. Ce n'est pas seulement l'accroissement de la capacité des ordinateurs qui explique ce progrès.
    Septembre 2004
    Juin 2004
    Mai 2004
    Avril 2004
    Mars 2004 L'art de faire rentrer les erreurs dans le rang Janvier 2004 Sous la protection des courbes elliptiques Novembre 2003 Octobre 2003 Des statistiques contre la pollution Septembre 2003 Juin 2003 Les ondelettes font des vagues Mai 2003 Bonnes mesures, bonne moyenne

    77. Boletim E-Access Boletim Electrónico On-line De Notícias Sobre
    Translate this page matemática - pessoas como Leonhard Euler, Nicholas Saunderson, lev pontryagin,Alfred Loewy, Stephen Smale, WG Bickley, Bernard Morin e Joseph Plateau.
    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:

    78. Pontryagin's Maximum Principle
    pontryagin s Maximum Principle applies to a particular type of problem called a pontryagin s Maximum Principle provides a neat, systematic solution.
    http://www2.sjsu.edu/faculty/watkins/pontryag.htm
    Pontryagin's Maximum Principle
    Lev Pontryagin Pontryagin's Maximum Principle applies to a particular type of problem called a Bolzano Problem. Most optimization problems can be put into the form of a Bolzano problem, but more about that later. A Bolzano problem involves a number of state variables which can change over time where time t runs from to T. Let us suppose the state variables are X (t),X (t),...,X n (t). We want to maximize V(T) = c X (T) + c X (T) + ...+c n X n (T), given that we start at the point X (0), X (0),..., X n (0), and where the coefficients c , c , ...,c n are given and T is some definite finite time. We are given so-called steering functions for controlling the changes in the state variables; i.e., dX /dt = f (X ,X ,.., X n ,u ,u ,..,u m
    dX /dt = f (X ,X ,.., X n ,u ,u ,..,u m
    dX n /dt = f n (X ,X ,.., X n ,u ,u ,..,u m
    where the variables u ,u ,...,u m are functions of time and are called the control variables. The objective is to choose the control variables at each instant of time so as to steer the state variables from their initial values X (0), X

    79. A Passion For Mathematics
    154, 325 plays, 40 Pochhammer notation, 106, 107 polyhedreal universe, 340Pontryagin, lev, 274 Pope Sylvester II, 23 Poussin proof, 78 prime numbers,
    http://sprott.physics.wisc.edu/pickover/passion-math.html
    Contact
    News!
    Books
    Home
    A Passion for Mathematics
    Numbers, Puzzles, Madness, Religion,
    and the Quest for Reality Clifford A. Pickover
    Mathematics is the hammer
    that shatters the ice of our unconscious. Numbers percolate like bubbles in the ocean of mathematics.
    The mathematician's job is to transport us to new seas,
    while deepening the waters and lengthening horizons. Math puzzles, factoids, quotations, trivia, formulas... Click here to see the book at Amazon.Com Read Chapter 1!
    Are you Fascinated by Numbers?
    A Smorgasbord of math puzzles, factoids, quotations, trivia, formulas, and much more... Are you fascinated by numbers and want to learn more? Does the vast world of math problems that humans have solved—and the ones we have yet to begin to comprehend—give you goose bumps? If so, this is the book for you. A Passion for Mathematics is an educational, entertaining trip through the curiosities of the math world, blending an eclectic mix of history, biography, philosophy, number theory, geometry, probability, huge numbers, and mind-bending problems into a delightfully compelling collection that is sure to please math buffs, students, and experienced mathematicians alike. In each chapter, Clifford Pickover provides factoids, anecdotes, definitions, quotations, mathematical art, and captivating challenges that range from fun, quirky puzzles to insanely difficult problems. You'll encounter mad mathematicians, strange number sequences, obstinate numbers, curious constants, magic squares, fractal geese, monkeys typing Hamlet, infinity, and much, much more.

    80. Macmillan Publishers New Zealand
    ISBN, 2881240356. Price. Stock, Special Order. Title, LSPontryagin Selected Works.Author, Pontriagin, lev Semenovich. Publisher, Harwood Academic
    http://www.macmillan.co.nz/getbook/2881240356/showbook
    @import "css/complex.css"; @import "css/complex_vnav.css"; @import "css/complex_hnav.css"; This site will look much better in a browser that supports web standards , but it is accessible to any browser or Internet device.
    Macmillan Publishers New Zealand
    L.S.Pontryagin Selected Works
    ISBN Price Stock Special Order Title L.S.Pontryagin Selected Works Author Pontriagin, Lev Semenovich Publisher Harwood Academic Type Hardback Year
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    (c) Macmillan Publishers 2004

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