21. Lev BERKOVICH List of Selected Publications of lev M. Berkovich. Conference Dedicated to the 90thAnniversary of LS pontryagin, Moscow, Aug 31 Sept 6., 1998, Sec. Dif. http://old.ssu.samara.ru/campus/teachers/berkovich/publications.htm

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.

22. Bibliografia Commentata Per Il Corso Di Modelli Matematici Translate this page 5 (equazioni a derivate parziali, serie di Fourier). pontryagin, lev SemenovichOrdinary Differential Equations , Addison Wesley, Reading (MA, USA), 1962. http://www.dima.unige.it/~patrone/teaching/biblmm02.htm

Bibliografia commentata per il corso di Modelli Matematici Corso di laurea in scienze ambientali A.A. 2002/03 (Fioravante PATRONE) Sistema Bibliotecario di Ateneo Opere utilizzate per le lezioni. Dispense Vengono distribuiti nel corso dell'anno appunti (in TeX) di Patrone e/o Margiocco che complessivamente coprono quasi per intero il programma efettivamente svolto. ULTERIORI RIFERIMENTI PER LE PARTI PRINCIPALI DEL CORSO Modelli finiti, grafi, alberi, teoria dei giochi. Gardner, Martin: La cattura di un mostro , Le Scienze, n. 146, ottobre 1980; ristampato in: Insiemi Gruppi Strutture (a cura di Paolo Pagli), I quaderni de "Le Scienze", 92, 1996, 26-30. Da qui il grafo colorato di Cayley. Homer-Dixon, T.F., Jeffrey H. Boutwell e George W. Rathjens: , Le Scienze, n. 296, aprile 1993, ristampato in: Risorse ambientali (a cura di Giorgio Ruffolo), I quaderni de "Le Scienze", 90, 1996, 47-54. Da qui tratti un paio di esempi sui grafi (quelli con i vertici etichettati con cerchio, rettangolo o rombo). Risorse idriche in pericolo , Le Scienze, n. 255, novembre 1989, ristampato in:

23. Biography-center - Letter P bio/a5041.html; pontryagin, lev www-history.mcs.st-and.ac.uk/~history/Mathematicians/pontryagin.html;Pool, Léa www.northernstars http://www.biography-center.com/p.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish P 510 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Peres.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Peter.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Polya.html Paar, Jack www.pbs.org/wnet/americanmasters/database/paar_j.html Paavolainen, Olavi www.kirjasto.sci.fi/opaavola.htm Pacchia, Girolamo del www.getty.edu/art/collections/bio/a844-1.html Pacchioni, Antonio www.whonamedit.com/doctor.cfm/391.html Pace, Carlos www.grandprix.com/gpe/drv-paccar.html Pacher, Michael www.kfki.hu/~arthp/bio/p/pacher/biograph.html Pacioli, Luca www-history.mcs.st-and.ac.uk/~history/Mathematicians/Pacioli.html Packer, Kerry www.abc.net.au/btn/australians/packer.htm Paczynski, Bohdan www.phys-astro.sonoma.edu/BruceMedalists/Paczynski/index.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Pade.html

24. Minoru SETOYANAGI Painlev'e, Paul (18631933); Po'lya, George (1886-1985); Plemelj, Josip;pontryagin, lev Sem enovich (1908-1988); Poole; Poorten (1942-). Photograph. http://sun1.maizuru-ct.ac.jp/natural/set.html

25. Algebraic And Differential Topology (Classics Of Soviet... By Lev Semenovich Pon by lev Semenovich pontryagin (Hardcover) here at low prices. Click here for reviews,and product information. by lev Semenovich pontryagin (Hardcover) . http://www.rbookshop.com/mathematics/t/Topology/Algebraic_and_Differential_Topol

AMAZON.COM Search All Products Electronics Books Classical Music DVD Kitchen Popular Music Software Toys VHS Video Video Games Enter keywords: Related Stores Math Videos Math Software Computers and Accessories Toys and Games More Stores Ray Ban Store Sporting Goods Store Electronics Store Electronics Store ... Toy Store NOTICE : All prices, availability, and specifications are subject to verification by their respective retailers. Privacy Policy info@rbookshop.com Last Modified : 3-29-2003 Algebraic and Differential Topology (Classics of Soviet... Home Mathematics Books Topology Algebraic and Differential Topology (Classics of Soviet... by Lev Semenovich Pontryagin (Hardcover) List Price: $269.00 At Amazon on 3-29-2003. Algebraic and Differential Topology (Classics of Soviet... Available from Amazon Price: $269.00 Updated on 3-29-2003. Home Mathematics Books Topology Search: All Products Books Magazines Popular Music Classical Music Video DVD Baby Electronics Software Outdoor Living Wireless Phones Keywords: NOTICE: All product prices, availability, and specifications

26. Biography.com Pontius Pilatus, Pontormo, Jacopo da, 1494 1557. pontryagin, lev Semyonovich,1908 1988. Poole, William Frederick, 1821 1894. Poor, Henry Varnum, 1821 1905. http://search.biography.com/bio_browse.pl?letter=P&num=750

27. Maths And Stats At Otago, Applied Maths At Otago A neat applied mathematics problem that involves the theory of control and the socalledprinciple of lev pontryagin, is to plot the best trajectory for the http://www.maths.otago.ac.nz/home/schools/why_maths/applied_at_otago/applied_at_

This picture shows Sir Isaac Newton Fractals and Chaos Start with a complex function and seed it with a complex number. Grind the results through the function over and over again, and plot the resulting orbit on the Argand plane. When this process is applied to the function a "strange attractor" emerges the Ikeda attractor. With a suitable choice of the parameters a b k and p Data Compression These two pictures of a baboon show the effect of a mathematically-based form of data compression. The one on the left has a storage size that is nearly fifty times the size of the one on the right. The same kind of technology is needed when you make a CD or minidisk. Reentry where the set of adjoint variables are such that The optimum values of the control variables at time t are the ones that maximize H . Lev was Russian and presumably helped his mates get their space capsules back too. Black Holes Ice is Nice Pack ice is broken up in the Arctic and Antarctic by the action of waves. Treating each ice floe as a floating viscoelastic plate and using scattering theory can successfully model this process. Agreement with observations is good. The problem has a direct relevance to climate, as the sea-ice modulates the way the atmosphere and ocean interact. Applied Mathematics at Otago To do applied mathematics, students require the basic calculus and algebra skills that are taught in MATH 160 and MATH 170 or equivalent papers elsewhere. After the first year, applied mathematics options begin to emerge but most papers have both a pure and applied flavour, as progression to higher levels in either case needs similar mathematical apparatus. A major with an applied mathematics focus could include some of the 200-level papers:

28. Pronunciation Guide To Mathematicians ?; Poncelet, Jean Victor ? ? ?; pontryagin,lev Semenovich ? ?. Top. R http://puzzle.jmath.net/math/mathcian/

Pronunciation Guide to Mathematicians:¼öÇÐÀÚÀÇ À̸§ Àбâ Home Math Puzzles Links Contents A B C D ... Abel , Niels Henrik ´Ò½º Ç ¾Æº§ Ackermann , Wilhelm ºôÇ︧ ¾ÆÄ¿¸¸ Agnesi , Maria Gaetana ¸¶¸®¾Æ °¡¿¡Å¸³ª ¾Æ³éÁö Ahlfors , Lars Valerian ¶ó¸£½º ¹ß·¹¸®¾È ¾ËÆ÷¸£½º Ampere , Andre Marie ¾Óµå·¹ ¸¶¸® ¾ÓÆ丣 Argand , Jean Robert Àå ·Îº£¸£ ¾Æ¸£°­ Top B Babbage , Charls Âû½º ¹è¹èÁö Bachet de Meziriac, Claude Gaspard Ŭ·Îµå °¡½ºÆĸ£ ¹Ù¼Î µå ¸ÞÁö¸®¾Ç Baire , Rene Louis ¸£³× ·çÀÌ º£¸£ Banach , Stefan ½ºÅ×ÆÇ ¹Ù³ªÈå Barbier , Joseph Emile Á¶Á¦ÇÁ ¿¡¹Ð ¹Ù¸£ºñ¿¡ Barrow , Issac ¾ÆÀÌÀÛ ¹è·Î Bayes , Thomas Å丶½º º£ÀÌÁî Beltrami , Eugenio ¿¡¿ìÁ¦´Ï¿À º§Æ®¶ó¹Ì Bernoulli , Daniel ´Ù´Ï¿¤ º£¸£´­¸®(º£¸£´©ÀÌ) Bernstein , Felix Æ縯½º º£¸¥½´Å¸ÀÎ Bertrand , Joseph Louis Francois Á¶Á¦ÇÁ ·çÀÌ ÇÁ¶û¼ö¾Æ º£¸£Æ®¶û Besicovitch , Abram Samoilovitch ¾Æºê¶÷ »ç¸ðÀϷκñÄ¡ º£½ÄÚºñÄ¡ Betti , Enrico ¿£¸®ÄÚ º£Æ¼ Bezout , Etienne ¿¡Æ¼¿£ º£ÁÖ Bianchi , Luigi ·çÀÌÁö ºñ¾ÈÅ° Bieberbach , Ludwig Georg Elias ·çÆ®ºñÈ÷ °Ô¿À¸£Å© ¿¤¸®¾Æ½º ºñ¹ö¹ÙÈå Binet , Jacques Philippe Marie ÀÚÅ© Çʸ³ ¸¶¸® ºñ³× Birkhoff , George David Á¶Áö µ¥À̺ñµå ¹öÄÚÇÁ Blichfeldt , Hans Frederick Çѽº ÇÁ·¹µ¥¸¯ ºí¸®È÷ÆçÆ®(ºí¸¯ÆçÆ®) Bolyai , Farkas Wolfgan/Janos Æĸ£Ä«½ º¼ÇÁ°­/¾ß³ë½ º¸¿©ÀÌ (º¼¸®¾ÆÀÌ) Bolzano , Bernhard Placidus Johann Nepomuk º£¸¥Çϸ£Æ® ǶóÄ¡µÎ½º ¿äÇÑ ³×Æ÷¹«Å© º¼Â÷³ë Bonnet , Pierre Ossian ÇÇ¿¡¸£ ¿À½¾Ó º¸³× Boole , George Á¶Áö ºÒ Borel , Felix Edouard Justin Emile Æ縯½º ¿¡µÎ¾Æ¸£ Á㽺ÅÊ ¿¡¹Ð º¸·¼ Borsuk , Karol Ä«·Ñ º¸¸£¼÷ Bourbaki, Nicolas ´ÏÄݶó ºÎ¸£¹ÙÅ°

29. Matches For: Differential Equations, Mathematical Analysis and Their Applications Collectionof Papers Dedicated to Akademician lev Semenovich pontryagin on His Seventy http://www.ams.org/bookstore/stekloseries

Quick Search Advanced Search Browse by Subject General Interest Number Theory Analysis Differential Equations Probability Applications Mathematical Physics Proceedings of the Steklov Institute of Mathematics Beginning with Russian volume 74 this series is a cover-to-cover English translation of the proceedings of the Steklov Institute of Mathematics in the Russian Academy of Sciences. The original Russian publication date appears in parentheses following the title of the translation. Each volume contains either one book-length article or a collection of articles on one topic. The topics contained in these volumes are all in the forefront of contemporary mathematical research. Since 1978 the series has also been sold as a journal subscription. No further volumes will be published in this series, however, back volumes are available. (ISSN 0081-5438) Softcover. Number Theory and Analysis A. A. Karatsuba and V. I. Blagodatskikh , Editors - AMS, 1996, 351 pp., Softcover, ISBN 0-8218-0467-7, List: $282, Institutional Member: $226, Individual Member: $169, STEKLO/207 The 21st Hilbert Problem for Linear Fuchsian Systems A. A. Bolibrukh

30. À¯¸íÇÑ ¼öÇÐÀÚ ? Fermat, Pierre de (1601~1665) ? Peano, Giuseppe (1858~1932) pontryagin, lev Semyonovic (1908.9.3~1988.5.3) ? Fourier http://user.chollian.net/~jjang88/mathman/mathman.htm

31. CONF> International Conference Dedicated To The 90th Anniversary Of L.S.Pontryag International Conference on Mathematics and Applications dedicated to the 90th Anniversaryof the prominent mathematician lev Semenovich pontryagin (19081988 http://scout.wisc.edu/addserv/NH/98-08/98-08-31/0027.html

From: FAA [ mailto:faa@mi.ras.ru Sent: Monday, August 31, 1998 9:01 AM International Conference dedicated to the 90th Anniversary of L.S.Pontryagin August, 31 September, 6, 1998, Moscow The Steklov Mathematical Institute of the Russian Academy of Sciences together with Moscow State (Lomonosov) University are organizing an International Conference on Mathematics and Applications dedicated to the 90th Anniversary of the prominent mathematician Lev Semenovich Pontryagin (1908-1988). The Conference will be held in Moscow from August, 31 to September, 6, 1998 and will include the following four sections: Algebra, Geometry and Topology, Differential Equations, Optimal Control. Organizing Committee Co-Chairmen: Members: Yu.S. Osipov , V.A. Sadovnichii V. V. Alexandrov, D. V. Anosov, S. M. Aseev (Executive Secretary), V. I. Blagodatskikh, A. A. Bolibruch, A. T. Fomenko, R. V. Gamkrelidze, R. I. Grigorchuk (Vice-Chairman), N. L. Grigorenko, D. P. Kostomarov, A. I. Kostrikin, V. V. Kozlov, N. N. Krasovskii, A. V. Kryazhymskii, A. B. Kurzhanskii (Vice-Chairman), I. Lasiecka, G. Leitmann

32. Mathem_abbrev of Byzantium Pieri, Mario Piero della Francesca, Piero della Francesca Pisano, LeonardoFibonacci Planck, Max Plato Playfair, John pontryagin, lev Porphyry of http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

33. Full Alphabetical Index Translate this page Polozii, Georgii (213) Pólya, George (324*) Poncelet, Jean (252*) pontryagin, lev(357*) Poretsky, Platon (227) Porta, Giambattista Della (409*) Post, Emil http://www.geocities.com/Heartland/Plains/4142/matematici.html

Completo Indice Alfabetico Cliccare su una lettera sottostante per andare a quel file. A B C D ... XYZ Cliccare sotto per andare agli indici alfabetici separati A B C D ... XYZ Il numero di parole nella biografia e' dato in parentesi. Un * indica che c'e' un ritratto. A Abbe , Ernst (602*) Abel , Niels Henrik (286*) Abraham bar Hiyya (240) Abraham, Max Abu Kamil Shuja (59) Abu'l-Wafa al'Buzjani (243) Ackermann , Wilhelm (196) Adams, John Couch Adams, Frank Adelard of Bath (89) Adler , August (114) Adrain , Robert (79) Aepinus , Franz (124) Agnesi , Maria (196*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (60) Ahmes Aida Yasuaki (114) Aiken , Howard (94) Airy , George (313*) Aitken , Alexander (825*) Ajima , Chokuyen (144) Akhiezer , Naum Il'ich (248*) al'Battani , Abu Allah (194) al'Biruni , Abu Arrayhan (306*) al'Haitam , Abu Ali (269*) al'Kashi , Ghiyath (73) al'Khwarizmi , Abu (123*) Albanese , Giacomo (282) Albert of Saxony Albert, Abraham Adrian (121*) (158*) Alberti , Leone (181*) Alberto Magno, San (109*) Alcuin di York (237*) Aleksandrov , Pave (160*) Alembert , Jean d' (291*) Alexander , James (163) Amringe , Howard van (354*) Amsler , Jacob (82) Anassagora di Clazomenae (169) Anderson , Oskar (67) Andreev , Konstantin (117) Angeli , Stefano degli (234) Anstice , Robert (209) Antemio of Tralles (55) Antifone il Sofista (125) Apollonio di Perga (276) Appell , Paul (1377) Arago , Dominique (345*) Arbogasto , Louis (87) Arbuthnot , John (251*) Archimede di Siracusa (467*) Archita of Tarentum (103) Argand , Jean (81) Aristeo il Vecchio (44) Aristarco di Samo (183) Aristotele Arnauld , Antoine (179)

34. ISDGRus, Mail Distribution an International Conference on Mathematics and Applications dedicated to the90th Anniversary of the prominent mathematician lev Semenovich pontryagin. http://isdgrus.ru/eng/letter7.phtml

35. PhysMath Bookshelf of Optimal Processes (LS.pontryagin Selected Works, Vol 4) by LS pontryagin Courseof Theoretical Physics Physical Kinetics by lev Davidovich Landau, EM http://finmath.com/Chicago/FMPhysMath/Bookshelf.html

PhysMath Bookshelf FinMath.com Click on any title to buy the book from Amazon.com or just scroll down the page to find more books. Theory of Games and Economic Behavior by John Von Neumann, Oscar Morgenstern Continuous-Time Finance by Robert C. Merton Modeling Financial Derivatives With Mathematica (Includes CD-ROM) by William T. Shaw / Published February 1999 (Contents) Mathematica in Education and Research Complex Mathematica by William T. Shaw / Published 1999 Mathematica in Education and Research Computational Economics and Finance : Modeling and Analysis With Mathematica by Hal R. Varian (Editor) / Published 1996 Mathematica in Education and Research Computational Finance (Proceedings of the Sixth International Conference on Computational Finance, New York, January 6-8, 1999) by Y. S. Abu-Mostafa, B. LeBaron, A. W. Lo, A. S. Weigend (Editors) / Published by MIT Press September 1999 ( Contents Mathematical Models of Financial Derivatives by Yue-Kuen Kwok / Published December 1998 Pricing Derivative Securities, An Interactive Dynamic Environment with Maple V and Matlab by Eli Prisman / Published April 2000 Mathematics of Financial Markets by P. Ekkehard Kopp, Robert James Elliott / Published 1999

36. DE VISU. Historia Del Braille Translate this page lev Semenovich pontryagin (1908-1988) nacido en Moscú, de familia deescasos recursos, estudió en escuelas de nivel académico bajo. http://members.tripod.com/DE_VISU/brlhist.html

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.

37. France Diplomatie - Maths Dans La Vie Quotidienne pontryagin obtenu par des chercheurs soviétiques (dont lev pontryagin) vers 1960 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

38. PQ Index 131) Poisson, Siméon (269*) Poleni, Giovanni (152) Polozii, Georgii (213) Pólya,George (324*) Poncelet, JeanVictor (252*) pontryagin, lev (1470*) Poretsky http://www.math.hcmuns.edu.vn/~algebra/history/history/Indexes/PQ.html

39. 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 8-426-3 Pondiczery, Ersatz Stanislaus 41-14,15 pontryagin, lev Semenovich 6-4 8-3 http://libweb.princeton.edu/libraries/firestone/rbsc/finding_aids/mathoral/pm05.

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.

40. Edward James McShane, May 10, 1904 — June 1, 1989 | By Leonard D. Berkovitz And Twenty years later, this idea was used by lev S. pontryagin and his coworkers intheir proof of the necessary condition for optimal control now known as the http://stills.nap.edu/html/biomems/emcshane.html

BIOGRAPHICAL MEMOIRS National Academy of Sciences Edward James McShane By Leonard D. Berkovitz and Wendell H. Fleming D URING HIS LONG CAREER Edward James McShane made significant contributions to the calculus of variations, integration theory, stochastic calculus, and exterior ballistics. In addition, he served as a national leader in mathematical and science policy matters and in efforts to improve the undergraduate mathematical curriculum. McShane was born in New Orleans on May 10, 1904, and grew up there. His father, Augustus, was a medical doctor and his mother, Harriet, a former schoolteacher. He graduated from Tulane University in 1925, receiving simultaneously bachelor of engineering and bachelor of science degrees, as well as election to Phi Beta Kappa. He turned down an offer from General Electric and instead continued as a student instructor of mathematics at Tulane, receiving a master's degree in 1927. In the summer of 1927 McShane entered graduate school at the University of Chicago, from which he received his Ph.D. in 1930 under the supervision of Gilbert Ames Bliss. He interrupted his studies during 1928-29 for financial reasons to teach at the University of Wichita. It was at Chicago that McShane's long-standing interest in the calculus of variations began. From 1930 to 1932 he held a National Research Council Fellowship, spent at Princeton, Ohio State, Harvard, and Chicago. In 1931 he married Virginia Haun. The McShanes had three children, Neill (deceased), Jennifer, and Virginia.

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