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         Frobenius Georg:     more detail
  1. Verleger (17. Jahrhundert): Johann Theodor de Bry, Joan Blaeu, Lucas Jennis, Georg Ludwig Frobenius, John Ogilby, Adam Berg, Johann van Ghelen (German Edition)
  2. Gesammelte Abhandlungen (German Edition) by Ferdinand Georg Frobenius, 1968-12-01
  3. Gesammelte Abhandlungen. Three Volumes by Ferdinand Georg Frobenius, 1968

21. The Mathematics Genealogy Project - Georg Frobenius
According to our current online database, georg frobenius has 17 students and3719 descendants. We welcome any additional information.
http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=4642

22. The Mathematics Genealogy Project - Update Data For Georg Frobenius
If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor)
http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=4642

23. Ferdinand Georg Frobenius - Wikipedia, The Free Encyclopedia
Picture of frobenius. Ferdinand georg frobenius (October 26, 1849 August 3,1917) was a German mathematician, best-known for his contributions to the
http://en.wikipedia.org/wiki/Ferdinand_Georg_Frobenius
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Ferdinand Georg Frobenius
From Wikipedia, the free encyclopedia.
Picture of Frobenius Ferdinand Georg Frobenius October 26 August 3 ) was a German mathematician , best-known for his contributions to the theory of differential equations and to group theory Frobenius was born in Charlottenburg , a suburb of Berlin , and was educated at the University of Berlin . His thesis was on the solution of differential equations, under the direction of Weierstrass . After its completion in , he taught in Berlin for a few years before receiving an appointment at the Polytechnicum in Zurich (now ETH Zurich ). In he returned to Berlin, where he was elected to the Prussian Academy of Sciences. edit
Contributions to group theory
Group theory was one of Frobenius' principal interests in the second half of his career. One of his first notable contributions was the proof of the Sylow theorems for abstract groups. Earlier proofs had been for permutation groups. His proof of the first Sylow theorem (on the existence of Sylow groups) is the one still used today.

24. Ferdinand Georg Frobenius - Wikipedia, The Free Encyclopedia
(Redirected from georg frobenius). Picture of frobenius Enlarge. Picture offrobenius. Ferdinand georg frobenius (October 26, 1849 August 3,
http://en.wikipedia.org/wiki/Georg_Frobenius
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Over US$155,000 has been donated since the drive began on 19 August. Thank you for your generosity!
Ferdinand Georg Frobenius
From Wikipedia, the free encyclopedia.
(Redirected from Georg Frobenius Picture of Frobenius Ferdinand Georg Frobenius October 26 August 3 ) was a German mathematician , best-known for his contributions to the theory of differential equations and to group theory Frobenius was born in Charlottenburg , a suburb of Berlin , and was educated at the University of Berlin . His thesis was on the solution of differential equations, under the direction of Weierstrass . After its completion in , he taught in Berlin for a few years before receiving an appointment at the Polytechnicum in Zurich (now ETH Zurich ). In he returned to Berlin, where he was elected to the Prussian Academy of Sciences. edit
Contributions to group theory
Group theory was one of Frobenius' principal interests in the second half of his career. One of his first notable contributions was the proof of the Sylow theorems for abstract groups. Earlier proofs had been for permutation groups. His proof of the first Sylow theorem (on the existence of Sylow groups) is the one still used today.

25. Frobenius
frobenius, georg. (18491917). Nemecký matematik, který se zabýval teoriíreprezentací v teorii grup. Udelal také mnoho práce v algebre,
http://www.aldebaran.cz/famous/people/Frobenius_Georg.html
Frobenius, Georg
Nìmecký matematik, který se zabýval teorií reprezentací v teorii grup. Udìlal také mnoho práce v algebøe, kde je po nìm pojmenována Frobéniova vìta, která udává podmínky øešitelnosti soustavy lineárních rovnic. zabýval se také øešením rovnic v okolí singulárních bodù.

26. Allmath.com - Math Site For Kids! Home Of Flashcards, Math
frobenius, Ferdinand georg. frohbeenius. (18491917). Mathematician, born inBerlin, Germany. He studied at Göttingen and Berlin, where he took his
http://www.allmath.com/biosearch.php?QMeth=ID&ID=12468

27. Math Lessons - Ferdinand Georg Frobenius
Math Lessons Ferdinand georg frobenius. Picture of frobenius. Ferdinand georgfrobenius (October 26, 1849 - August 3, 1917) was a German mathematician
http://www.mathdaily.com/lessons/Ferdinand_Georg_Frobenius
Search
Mathematics Encyclopedia and Lessons
Lessons
Popular Subjects
algebra arithmetic calculus equations ... more
References
applied mathematics mathematical games mathematicians more ... Group theorists
Ferdinand Georg Frobenius
Picture of Frobenius Ferdinand Georg Frobenius October 26 August 3 ) was a German mathematician , best-known for his contributions to the theory of differential equations and to group theory Frobenius was born in Charlottenburg , a suburb of Berlin , and was educated at the University of Berlin . His thesis was on the solution of differential equations, under the direction of Weierstrass . After its completion in , he taught in Berlin for a few years before receiving an appointment at the Polytechnicum in Zurich (now ETH Zurich ). In 1893 he returned to Berlin, where he was elected to the Prussian Academy of Sciences.
Contributions to group theory
Group theory was one of Frobenius' principal interests in the second half of his career. One of his first notable contributions was the proof of the Sylow theorems for abstract groups. Earlier proofs had been for permutation groups. His proof of the first Sylow theorem (on the existence of Sylow groups) is the one still used today.

28. Frobenius: A Sesquilogue
(georg frobenius, exhausted and delirious after proving. the uniqueness of theQuaternions, reflects on the philosophy,. life, and works of his mentor SIR
http://aleph0.clarku.edu/~lrudolph/poetry/frobenius/
FROBENIUS: A SESQUILOGUE
(GEORG FROBENIUS, exhausted and delirious after proving the uniqueness of the Quaternions, reflects on the philosophy, life, and works of his mentor SIR WILLIAM ROWAN HAMILTON, and thus invokes SIR WILLIAM's ghost)
Quod erat demonstrandum , Q. E. D. FROBENIUS, his proof SIR WILLIAM would have been so proud of me! completed at last, Now his Quaternions are proved unique, And though some scornful men may cry, "A freak," but fearful of I know that they are good, and useful, too! his detractors, State your theorem: struggle with it: prove it true. What then's more glorious? He said, "Alone, remembers the late Beauty stands naked. After one has shown SIR WILLIAM ROWAN The use of a new theory, tailored clothes HAMILTON's poor For Beautynot to cover her, but to disclose opinion of Pure New charms beside the oldthen one is worth Mathematics, The name of Mathematician." Scorn and mirth Does them ill credit; for they know I've tried, Tried and succeeded. My work is applied, No doubt of it! Can't they let me be?

29. Great Mathematicians
frobenius, georg, (18491917), Germany, Theory of Matrices. Lamb, Horace,(1849-1934), England, Fluid Dynamics, Acoustics. Heaviside, Oliver, (1850-1925)
http://www.sali.freeservers.com/engineering/maths.html
Free Web Hosting Provider Web Hosting E-commerce High Speed Internet ... Photo Sharing if(window.ivnRotate) window.ivnRotate1 = new window.ivnRotate('ivnRotate1',0,document.awsSearch1.Keywords) Popular Searches:
Home Page About Me Contact Me Photo Gallery 1 Photo Gallery 2 Family Album Engineering Stuff Sports Stuff Tennis Page Favorite People Links Galore Cool Links Kerala Page About Calicut HTML Tutorial Guest Book Home Page Engg. Home CFD Engg. Books ... NITT Faculty
The finest mathematicians of all time who had a profound influence in the development of pure and applied mathematics
Name Period Country Field of Contribution Descartes, Rene France Invented Analytical Geometry Fermat, Pierre de France Gregory, James Scotland Numerical Interpolation Newton, Isaac England Inventor of Differential and Integral Calculus Leibnitz, Gottfried Wilhem Germany Along with Newton he is also credited for invention of Calculus Raphson, Joseph England Numerical Integration Rolle, Michel France Rolle's Theorem Bernoulli, Jakob Swiss Mathematical Probability and Elasticity L'Hôpital, Guillaume François

30. Frobenius Series Solution Of A D. E.
Method of frobenius. This method is attributed to the german mathemematicanFerdinand georg frobenius (18491917 ).
http://math.fullerton.edu/mathews/n2003/FrobeniusSeriesMod.html
Module for Frobenius Series Solution of a Differential Equation Background.
Consider the second order linear differential equation
Rewrite this equation in the form , then use the substitutions and and rewrite the differential equation (1) in the form
Definition ( Analytic The functions and are analytic at if they have Taylor series expansions with radius of convergence and , respectively. That is
which converges for
and
which converges for Definition ( Ordinary Point If the functions and are analytic at , then the point is called an ordinary point of the differential equation
Otherwise, the point is called a singular point Definition ( Regular Singular Point) Assume that is a singular point of (1) and that and are analytic at
They will have Maclaurin series expansions with radius of convergence and , respectively. That is
which converges for
and which converges for Then the point is called a regular singular point of the differential equation (1). Method of Frobenius.

31. Frobenius Series Solution Of D. E.
Method of frobenius. This method is attributed to the german mathematicianFerdinand georg frobenius (18491917 ).
http://math.fullerton.edu/mathews/n2003/FrobeniusSeriesProof.html
Theory and Proof for Frobenius Series Solution of a Differential Equation Background.
Consider the second order linear differential equation
Put this equation in the form , then use the substitutions and and rewrite the differential equation (1) as follows
Definition ( Analytic The functions and are analytic at if they have Taylor series expansions with radius of convergence and , respectively. That is
which converges for
and
which converges for Definition ( Ordinary Point If the functions and are analytic at , then the point is called an ordinary point of the differential equation
Otherwise, the point is called a singular point of the differential equation (1). Definition ( Regular Singular Point) Assume that is a singular point of (1) and that and are analytic at . They will have Maclaurin series expansions with radius of convergence and , respectively. That is
which converges for
and
which converges for Then the point is called a regular singular point of the differential equation (1). Remark.

32. Ferdinand Georg Frobenius - Anagrams
Find more anagrams of ferdinand georg frobenius (or any other text)! Download FREEanagramgenerating software for your Windows computer
http://www.anagramgenius.com/archive/ferdin2.html
Archive The definitive site for fun anagrams!
Ferdinand Georg Frobenius anagrams
Rearranging the letters of Ferdinand Georg Frobenius (Mathematician) gives: Finger bone user for adding. (by Mike Mesterton-Gibbons by hand)
Download FREE anagram-generating software for your Windows computer Webmasters: make money from your website! Instructions for linking to this page! Learn about the Anagram Genius software (Windows/MacOS) Search the Archive Add YOUR anagrams to the Archive! League table of top contributors Find anagram aliases of ferdinand georg frobenius (or any other text)! Find gold service anagrams of ferdinand georg frobenius (or any other text)! Anagram Genius Archive Main Index Anagram Genius Archive Germany Index www.anagramgenius.com home page
Search the anagram archive (e.g. osama) Subject Author Anagram
See this page for more relating to
ferdinand georg frobenius
ferdinand georg frobenius - anagrams page and
William Tunstall-Pedoe

33. Findings:@Everything2.com
georg Christoph Lichtenberg georg Luger georg frobenius Bengt georgDaniel Strömgren If you Log in you could create a georg Jacoby node.
http://everything2.com/index.pl?node=Georg Jacoby

34. Mathematical Family Tree - L.W. Marcoux
Bruns, Heinrich ; Bugaev, Nicolay 1860; frobenius, georg 1870; Fuchs,Immanuel 1858; Hettner, georg ; Kiepert, Ludwig ; Killing,
http://www.math.uwaterloo.ca/~lwmarcou/FamilyTree.html
Mathematical Family Tree
  • Marcoux, Laurent W. , Ph.D. [1988] University of Waterloo
    On the distance between unitary orbits of weighted shifts
    • [1998] University of Alberta
      Closures of (U+K)-orbits of essentially normal models
  • Davidson, Kenneth R. , Ph.D. [1976] University of California, Berkeley
    Compact perturbations of operator algebras
    • Huang, Houben [1993]
    • Kribs, David [2000]
    • Marcoux, Laurent [1988]
  • Arveson, William B. , Ph.D. [1964] University of California, Los Angeles
    Prediction theory and group representations
    • Alveras, Alexander [1995]
    • Andersen, Neils [1979]
    • Aotani, Masayasu [1996]
    • Baker, Richard [1987]
    • Bleecker, Cecelia [1976]
    • Davidson, Kenneth R. [1976]
    • Dinh, Hung [1989]
    • Fall, Thomas [1977]
    • Fowler, Neal [1993]
    • Kraus, Jon [1977]
    • Laca, Marcelo [1989]
    • Lamoureux, Michael [1988]
    • Larson, David [1976]
    • Loebl, Richard [1973]
    • O'Donovan, Donal [1973]
    • Pai, Chikaung [1988]
    • Pitts, David [1986]
    • SeLegue, Dylan [1997]
    • Semwogerere, Frederick [1994]
    • Shaio, Jack [1985]

35. Mathematiker In Berlin (17.-20. Jahrhundert)
Translate this page Ferdinand georg 1849-1917, Feigl Feigl georg 1890-1945, frobenius frobeniusFerdinand georg 1849-1917, Fuchs Fuchs Immanuel Lazarus 1833-1902, Fuchs
http://page.mi.fu-berlin.de/~begehr/buch/mathematicians.html
Mathematiker in Berlin (17.-20. Jahrhundert)
Ordnung: Geburtsjahr nach Jahrhunderten; dann alphabetisch nach Nachnamen.
Mathematiker in Berlin - 17. Jahrhundert
Leibniz
Gottfried Wilhelm
Leibniz
Gottfried Wilhelm
de Maupertuis
Pierre Louis Moreau
de Maupertuis
Pierre Louis Moreau
Mathematiker in Berlin - 18. Jahrhundert
Crelle
August Leopold
Gauß
Carl Friedrich Euler Leonhard Euler Leonhard von Humboldt Alexander Lagrange Joseph Louis Mendelssohn Moses Ohm Martin Steiner Jakob Steiner Jakob Steiner Jakob
Mathematiker in Berlin - 19. Jahrhundert
Abel Niels Henrik Aronhold Siegfried Bieberbach Ludwig Bieberbach Ludwig Bois-Reymond Paul du Bois-Reymond Paul du Borchardt Carl Wilhelm Brauer Alfred Bruns Heinrich Cantor Georg Christoffel Elwin Bruno Dirichlet Peter Gustav Lejeune Dirichlet Peter Gustav Lejeune Dirichlet Peter Gustav Lejeune Eisenstein Gotthold Friedrich Max Frobenius Ferdinand Georg Feigl Georg Frobenius Ferdinand Georg Fuchs Immanuel Lazarus Fuchs Immanuel Lazarus Gegenbauer Leopold Graßmann Hermann Günther Hamel Georg Karl Wilhelm Hauck Guido Hensel Kurt Hensel Kurt Hertzer Hugo Ottomar Hessenberg Gerhard Hessenberg Gerhard Hettner Hermann Georg Jacobi Carl Gustav Jacob Jacobi Carl Gustav Jacob Jacobsthal Ernst Jacobsthal Ernst Jahnke Paul Rudolf Eugen Jolles Stanislaus Knoblauch Johannes Knopp Konrad Koenigsberger Leo Kowalewski Sonja Kronecker Leopold Kronecker Leopold Kummer Ernst Eduard Lampe Karl Otto Emil Landau Edmund Levi Friedrich Wilhelm Mises Richard

36. List Of Mathematical Topics: Information From Answers.com
frobenius algebra frobenius automorphism frobenius, georg frobeniusgroup frobenius method frobenius normal form frobenius pseudoprime
http://www.answers.com/topic/list-of-mathematical-topics-f
showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping List of mathematical topics Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); List of mathematical topics (F) List of mathematical topics
A
B C ... E F G H I J ... Mathematicians
F
F-coalgebra F-distribution F-sigma set F-space ... Faultfree tiling Fauquembergue Fauquembergue, E. Feigenbaum constant Feit-Thompson theorem Fej©r kernel Fencepost error ... Fermi problem Ferro, Scipione Feynman-Kac formula Feynman point Feynman, Richard Fiber bundle ... First-order predicate calculus Fischer equation Fischer group Fisher information Fisher information metric Fisher-Tippett distribution ... Fraenkel, Adolf Frans©n-Robinson constant Frattini subgroup Frechet filter Fr©chet space Fredholm integral equation ... Frobenius normal form Frobenius pseudoprime Frobenius theorem Fr¶hlich Prize Frustum Fubini's theorem ... Fuzzy set operations
This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Mentioned In List of mathematical topics is mentioned in the following topics: List of mathematical topics (X) List of mathematical topics (Y) List of mathematics reference tables List of mathematical topics (J) list of mathematical topics Jacobson List of mathematical topics (Z) List of mathematical topics in relativity List of lists of mathematical topics List of mathematical topics (V-Z)

37. 18.03IS, Spring 2005 - Frobenius Integrals
Above are two pictures of Ferdinand georg frobenius. This page contains links tosupplemental notes, figures, MAPLE commands and an overall explanation of
http://web.mit.edu/18.03-esg/www/cws05/maple/froblog.html
Independent Study
Frobenius Integrals Above are two pictures of Ferdinand Georg Frobenius This page contains links to supplemental notes, figures, MAPLE commands and an overall explanation of what's going on in Example 4 of Section 3.4 of the text, Pages 238-239 (244-245 in the fourth edition). For a simpler example demonstrating what's going on and why, check out the notes
A Cautionary Note Related to Exceptional Frobenius Solutions Xdvi or PDF All of the MAPLE commands used in this example are available in ASCII format, at Series Manipulation Commands , and may be copied and pasted into your MAPLE session. The figures on this page were generated with Release 3. To begin, MAPLE has its own syntax for Bessel functions. To enter y x J x , the command is y1:=BesselJ(1,x); To see how good MAPLE is, do the integration prescribed by the Reduction of Order technique, with the command y2:=y1*int(1/(x*y1^2),x); This gives you what may seem to be a peculiar result, in that MAPLE could do the integral at all, and that the leading factor, anticipating Equation (53) on Page 245 is present. To see the motivation for this, try Except for the output colors and size, you should get something like this:

38. Course Outline, Honors 228J
Karl Weierstrass (18151897); Richard Dedekind (1831-1916); georgCantor (1845-1918); Ferdinand georg frobenius (1849-1917); Henri Poincaré (1854-1912)
http://www.math.umd.edu/~jmr/HonorsSem/
Course Outline - Honors Seminar 228J
Selected Mathematical Classics
Spring Term, 1999
Class Meetings: Tu and Th, 12:30-1:45, ANA 0100. Instructor: Prof. Jonathan Rosenberg Office: Room 2114, Mathematics Building campus phone: 55166 email: jmr@math.umd.edu
General Description
This course is intended to give an idea of what serious mathematical reasoning and mathematical research are all about, by looking carefully at selected writings by great mathematicians from the past, such as Euclid, Newton, Gauss, and Hilbert. At the same time, it will be in part a "humanities" course, as we will study by example the history and literature of mathematics. The course is not in any way intended as a substitute for more traditional math courses, such as the calculus sequence. Instead, it will deal with questions which are rarely if ever treated in such courses, such as
  • what does it mean to do "research" in mathematics?
  • how does one go about reading the original literature in science and mathematics?
  • what makes great mathematics and mathematicians great?
  • how are mathematicians led to their ideas?
  • 39. La Galerie De Portraits Des Mathématiciens
    frobenius Ferdinand georg 18491917, FUCHS Lazare 1833-1902, FOURIER Joseph1768-1830, FOURIER Joseph 1768-1830. G. GALOIS Evariste 1811-1832
    http://trucsmaths.free.fr/images/matheux/matheux_complet.htm
    La galerie de portraits des mathématiciens "Les mathématiciens ne meurent pas.
    Ils perdent juste certaines de leurs fonctions."

    Retour à la page des trucs
    A ABEL Niels Henrik
    AGNESI Maria
    AL KHWARIZMI
    Abu Ja'far Mohammed Ben Mussa
    v.770-840 (ou 790-850 ou 800-847)
    APPOLONIUS (de Perge)
    250-190 BC
    ARTIN Emil ARCHIMEDE 287-212 BC Détail du bonnet d'Archimède (son nom en grec) B BARROW Isaac BERNOULLI Daniel (fils de Jean) BERNOUILLI Jacques (Jacob) (frère de Jean) BERNOUILLI Jean (Johann) (frère de Jacques) BESSEL Frederich William BEZOUT Etienne BOLTZMANN Ludwig BOLYAI Janos BOLZANO Bernhard BOOLE George BOREL Emile BOURBAKI Nicolas BROUNKER William BUFFON Georges Louis le Clerc BUFFON Georges Louis le Clerc C CANTOR Georg CARATHEODORY Constantin CARATHEODORY CARDAN Girolamo (Jérôme) CARTAN Elie CARTAN Henri (fils d'Elie) 1904- CAYLEY Arthur CAYLEY Arthur CAUCHY Augustin-Louis CHASLES Michel CHOQUET Gustave CLAIRAUT Alexis CONWAY John D D'ALEMBERT Jean le Rond DARBOUX Gaston DEDEKIND Richard Julius Wilhelm DEDEKIND Richard Julius Wilhelm DE MOIVRE Abraham DESCARTES René DESCARTES René DIRICHLET Gustav DIEUDONNE Jean DIEUDONNE Jean E Remarque : Einstein n'est pas vraiment un mathématicien (un physicien tout au plus ...) mais je l'aime bien et il a une bonne tête !

    40. La Galerie De Portraits Des Mathématiciens
    Translate this page 1180-1250, FREGE Gottlob 1848-1925, frobenius Ferdinand georg 1849-1917.FUCHS Lazare 1833-1902, FOURIER Joseph 1768-1830. G. GALOIS Evariste 1811-1832
    http://trucsmaths.free.fr/images/matheux/matheux_simpl.htm
    La galerie de portraits des mathématiciens "Les mathématiciens ne meurent pas.
    Ils perdent juste certaines de leurs fonctions."

    Retour à la page des trucs
    A ABEL Niels Henrik
    AGNESI Maria
    AL KHWARIZMI
    Abu Ja'far Mohammed Ben Mussa
    v.770-840 (ou 790-850 ou 800-847)
    APPOLONIUS (de Perge)
    250-190 BC
    ARTIN Emil ARCHIMEDE 287-212 BC Détail du bonnet d'Archimède (son nom en grec) B BERNOULLI Daniel BERNOUILLI Jean (Johann) BEZOUT Etienne BOLTZMANN Ludwig BOLYAI Janos BOREL Emile BOURBAKI Nicolas BROUNKER William BUFFON Georges Louis le Clerc d'autres photos C CANTOR Georg CARATHEODORY Constantin d'autres photos CARDAN Girolamo (Jérôme) CARTAN Elie CARTAN Henri (fils d'Elie) 1904- CAYLEY Arthur d'autres photos CAUCHY Augustin-Louis CHOQUET Gustave D D'ALEMBERT Jean le Rond DARBOUX Gaston DEDEKIND Richard Julius Wilhelm d'autres photos DESCARTES René d'autres photos DIRICHLET Gustav DIEUDONNE Jean d'autres photos E EINSTEIN Albert d'autres photos ERATHOSTENE 276-194 BC EUCLIDE 330-275 BC EULER Leonard d'autres photos F FERMAT Pierre (de) d'autres photos FIBONACCI (Leonard de Pise) FREGE Gottlob FROBENIUS Ferdinand Georg FUCHS Lazare FOURIER Joseph G GALOIS Evariste d'autres photos GAUSS Carl Friedrich d'autres photos GERMAIN Sophie GODEL Kurt GREGORY James GROTHENDIECK Alexandre H HADAMARD Jacques HASSE Helmut HAUSSDORF Félix HERMITE Charles HILBERT David d'autres photos I J JACOBI (Karl) Gustav JORDAN Camille Marie Ennemond K KHAYAM Omar 1048-1131 (ou 1122) KLEIN Félix KOLMOGOROV Andreï (Nikoloevich) KOVALEVSKAÏA Sonya L LAGRANGE Joseph Louis LAMBERT Johann Heinrich LANDAU Edmund Georg LAPLACE Pierre Simon

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