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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. Mathem_abbrev
of Byzantium Pieri, Mario Piero della Francesca, Piero della Francesca Pisano, Leonardo Fibonacci 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.

42. About Writing In General And The Short Story In Particular An Informal Textbook:
Differential Equations, Mathematical Analysis, and Their Applications Collection of Papers Dedicated to Akademician Sic lev Semenovich pontryagin on.
http://www.bookzbooks.com/49991_lrusthillsrusthills.html
Book review (s) - book summary- buy book online - book note - essay
Book by L Rust Hills Rust Hills- Writing in General and the Short Story in Particular An Informal Textbook
CLICK HERE - Written by L Rust Hills Rust Hills- Writing in General and the Short Story in Particular An Informal Textbook
Written by L Rust Hills Rust Hills- Writing in General and the Short Story in Particular
Link to item: L Rust Hills Rust Hills- Writing in General and the Short Story in Particular
L Ryvarden- Genera of Polypores Nomenclature and Taxonomy Synopsis Fungorum Ser No 5
Genera of Polypores Nomenclature and Taxonomy Synopsis Fungorum Ser No 5 !
L Ryvarden RL Gilbertson- European Polypores Part 1 European Polypores
L Ryvarden RL Gilbertson- European Polypores Part 1 European Polypores
L. S. Blackford- Scalapack Users Guide
L. S. Blackford- Scalapack Users Guide
Literature L. S. Foster- C By Discovery (3rd Edition)
L. S. Foster- C By Discovery (3rd Edition)
Summary L S Pereira- Sustainability of Irrigated Agriculture NATO Asi Series Series E Applied Sciences No 312
L S Pereira- Sustainability of Irrigated Agriculture NATO Asi Series Series E Applied Sciences No 312
L. S. Pontriagin- Current Problems of Mathematics. Differential Equations, Mathematical Analysis and Their Applications: Differential Equations, Mathematical Analysis, and Their Applications : Collection of Papers Dedicated to Akademician Sic Lev Semenovich Pontryagin on

43. Exact Sciences And Engineering Library Catalog - Full View Of
topology. differential equations and their applications collected papers dedicated to the 90th birthday of Academician lev Semenovich pontryagin.
http://valeph.tau.ac.il/ALEPH/ENG/ATA/AAS/AAS/FULL/1465670
Exact Sciences and Engineering Library
Full view
The catalog has moved to a new system which is accessible at: This version of the catalog is no longer updated
to mail the record to your e-mail account.
System No Title Algebra. topology. differential equations and their applications : collected papers dedicated to the 90th birthday of Academician Lev Semenovich Pontryagin
Imprint Moscow : Nauka/Interperiodica, 1999
Pages 309 p.
Subject Pontryagin, Lev Semenovich A; MathematicsCollected works; Algebra; Topology; ... Differential equations;
Series Proceedings of the Steklov Institute of Mathematics ; vol. 224, issue 1, 1999 Holdings
For librarians use only!!

44. Scientific Genealogy
got his PhD thesis in 1980 under the direction of Revaz Gamkrelidze Revaz Gamkrelidze got his PhD thesis under the direction of lev Semenovich pontryagin.
http://www.mat.ua.pt/delfim/delfim/genealogy.html
Scientific Genealogy
I (Delfim F. M. Torres) got my PhD thesis in 2002 under the direction of Andrey Sarychev
Andrey Sarychev got his PhD thesis in 1980 under the direction of Revaz Gamkrelidze
Revaz Gamkrelidze got his PhD thesis under the direction of Lev Semenovich Pontryagin
  • A biography of Lev Semenovich Pontryagin can be find in the following site of math history The Mathematics Genealogy Project can be seen here
Curiosities:

45. Science And Engineering Education Resources
and Hamiltonian Mechanics. The calculus of variations and Hamiltonian mechanics where utilized by the Russian mathematician lev pontryagin to optimize the
http://www.veracom.net/~peterson/W3Mall/scienceeducation.html
This portion of the W3Mall provides resources, software and tutorials for engineering, science and mathematics. Most of the resources are graduate curriculum.
There are many fine tutorials on the Internet. Many students must take calculus as part of their education in college but find the mathematics difficult. One of the best tutorials is called e-calculus. A link to this site is provided below:
Go to e-calculus tutorial.

The calculus of variations is very important branch of mathematics for physics and engineering. Unfortunately, this mathematics is often not taught at many colleges and universities. This mathematics is important for finite element analysis, physics and theoretical mechanics. Some links that provide information about the calculus of variations follow:
Calculus of variations from PlanetMath Organization

Calculus of variations from Wikipedia Organization

Calculus of variations resources

EZ Calculus of Variations
...
Firk's physics books

Another excellent physics book is available on the Internet for free. This book covers physics from the simple to the sublime. Many years ago at the university, I studied Dirac's theory of the relativistic electron using somewhat simplified mathematics by today's standards. I also have an understanding of the variational principle of general relativity. In my opinion, this is one of the finest physics texts that have ever been written. "M theory" which is at the fore front of contemporary physics will eventually be discussed.

46. Maths And Stats At Otago, Applied Maths At Otago
A neat applied mathematics problem that involves the theory of control and the socalled principle 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:

47. Algebraic And Differential Topology (Classics Of Soviet... By Lev Semenovich Pon
by lev Semenovich pontryagin here at low prices. Click here for reviews, and product information. by lev Semenovich pontryagin.
http://www.rbookshop.com/mathematics/t/Topology/Algebraic_and_Differential_Topol
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Last Modified : 5-30-2004 Algebraic and Differential Topology (Classics of Soviet... Home Mathematics Books Topology Algebraic and Differential Topology (Classics of Soviet... by Lev Semenovich Pontryagin, Raymond Bonnett (Hardcover ) Sales Rank: 1,898,236 At Amazon on 5-30-2004. Features Hardcover: 252 pages Back To Top Algebraic and Differential Topology (Classics of Soviet... Available from Amazon Price: $269.00 Updated on 5-30-2004. 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 are subject to verification by their respective retailers.

48. Lev Definition Of Lev. What Is Lev? Meaning Of Lev. What Does Lev Mean? Lev Syno
Demin (enc.) lev Ivanov lev Kamenev (enc.) lev Kopelev (enc.) lev Kuleshov (enc.), lev Landau (enc.) lev Mikhailovich Dovator (enc.) lev pontryagin (enc.) lev
http://www.thefreedictionary.com/Lev
Dictionaries: General Computing Medical Legal Encyclopedia
Lev
Word: Word Starts with Ends with Definition Noun lev - the basic unit of money in Bulgaria Bulgarian monetary unit - monetary unit in Bulgaria stotinka - 100 stotinka equal 1 lev Legend: Synonyms Related Words Antonyms Some words with "Lev" in the definition: bond-servant
Bulgarian monetary unit

Count Lev Nikolayevitch Tolstoy

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(enc.) leukocytosis leukoderma leukoencephalitis leukoma ... Leung Long Chau (enc.) Leung Sheung (enc.) Leunig (enc.) Leupp, Arizona (enc.) Leusden (enc.) Leutnant (enc.) Leuven (enc.) Leuven University (enc.) Leuwenhoek Leuze-en-Hainaut (enc.) Lev Borisovich Kamenev (enc.) Lev D. Landau (enc.) Lev Davidovich Bronstein Lev Davidovich Landau Lev Davidovich Landau (enc.) Lev Demin (enc.) Lev Ivanov Lev Kamenev (enc.) Lev Kopelev (enc.) Lev Kuleshov (enc.) Lev Landau (enc.) Lev Mikhailovich Dovator (enc.) Lev Pontryagin (enc.)

49. Pontryagin Duality - Wikipedia, The Free Encyclopedia
The theory, introduced by lev pontryagin and combined with Haar measure introduced by John von Neumann, André Weil and others depends on the theory of the
http://en.wikipedia.org/wiki/Pontryagin_duality
Pontryagin duality
From Wikipedia, the free encyclopedia.
In mathematics , in particular in harmonic analysis and the theory of topological groups Pontryagin duality explains the general properties of the Fourier transform . It places in a unified context a number of observations about functions on the real line or on finite abelian groups, viz.
  • Suitably regular complex-valued periodic functions on the real line have Fourier series and that these functions can be recovered from their Fourier series; Suitably regular complex-valued functions on the real line have Fourier transforms that are also functions on the real line and, just as for periodic functions, these functions can be recovered from their Fourier transforms; and Complex-valued functions on a finite abelian group have discrete Fourier transforms which are functions on the dual group , which is a (non-canonically) isomorphic group. Moreover any function on a finite group can be recovered from its discrete Fourier transform.

The theory, introduced by Lev Pontryagin and combined with Haar measure introduced by John von Neumann André Weil and others depends on the theory of the dual group of a locally compact abelian group.

50. DE VISU. Historia Del Braille
Translate this page lev Semenovich pontryagin (1908-1988) nacido en Moscú, de familia de escasos recursos, estudió en escuelas de nivel académico bajo.
http://members.tripod.com/DE_VISU/brlhist.html
var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded"
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.

51. 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

52. MIF Database - Formato Breve
3, 0010642, 1986, pontryagin, lev Semenovich LS pontryagin selected works. Volume 2 topological groups. 4, 0011463, 1962, pontryagin, lev Semenovich
http://159.149.45.3:4001/ALEPH/ITA/MIF/MIF/MON/FIND-ACC/0162583
Catalogo ALEPH WWW
della Biblioteca di Fisica
Database MIF - Formato breve di 8 documenti
Per visualizzare il formato completo selezionare l' occhio a sinistra.
Spedire il set nel formato breve al tuo indirizzo e-mail.
Arkhangelskii, A. V. General topology I : basic concepts and constructions dimension theory Arkhangelskii, A. V. General topology I : basic concepts and constructions, dimension theory Pontryagin, Lev Semenovich ... L. S. Pontryagin selected works. Volume 2 : topological groups Pontryagin, Lev Semenovich ... The mathematical theory of optimal processes Pontryagin, Lev Semenovich ... The mathematical theory of optimal processes Pontryagin, Lev Semenovich ... Topological Groups Pontryagin, Lev Semenovich ... Topological groups Pontryagin, Lev Semenovich ... Topological groups Utilizza la funzione BACK del browser per tornare allo schermo immediatamente precedente Torna allo schermo iniziale

53. 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 Nearby AUTHORS are: Prev Next Mark Year Entries 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 Chada. 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-

Ponty, Maurice Merleau-, 1908-1961 See Merleau-Ponty, Maurice, 1908-1961
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54. Detailed Record
differential equations, mathematical analysis, and their applications collection of papers dedicated to Akademician sic lev Semenovich pontryagin on his
http://www.worldcatlibraries.org/wcpa/ow/48fb217870b36e67a19afeb4da09e526.html
About WorldCat Help For Librarians Current problems of mathematics : differential equations, mathematical analysis, and their applications : collection of papers dedicated to Akademician [sic] Lev Semenovich Pontryagin on his seventy-fifth birthday
L S Pontriagin Anatolii Alekseevich Logunov
Find libraries with the item Enter a postal code, state, province or country
WorldCat is provided by OCLC Online Computer Library Center, Inc. on behalf of its member libraries.

55. PhysMath Bookshelf
of Optimal Processes (LS.pontryagin Selected Works, Vol 4) by LS pontryagin Course of 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

56. 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 in their proof of the necessary condition for optimal control now known as the
http://www.nap.edu/readingroom/books/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.

57. Lebensdaten Von Mathematikern
Translate this page 1781 - 1840) Poleni, Giovanni (1683 - 1761) Polya, George (1887 - 1985) Poncelet, Jean Victor (1788 - 1867) pontryagin, lev (1908 - 1988) Poretsky, Platon
http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html
Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers
in some old and distant town
from places no one here remembers
come the things we've handed down.
Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z 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)

58. International Conference Dedicated To The 90th Anniversary Of LS
an International Conference on Mathematics and Applications dedicated to the 90th Anniversary of the prominent mathematician lev Semenovich pontryagin.
http://www-control.eng.cam.ac.uk/extras/conferences/pontryagin98

59. Bibliography
Pontriagin, lev Semenovich, 19081988, Mathematical theory of optimal processes ; LS pontryagin et al. / translator, KN Trirogoff; editor, L W. Neustadt, New
http://www.library.cornell.edu/math/bibliography/display.cgi?start=P&

60. 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)

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