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         Lipschitz Rudolf:     more detail
  1. Lehrbuch Der Analysis, Volume 2 (German Edition) by Rudolf Lipschitz, 2010-02-13
  2. Lehrbuch Der Analysis, Volume 1 (German Edition) by Rudolf Lipschitz, 2010-02-03
  3. Lehrbuch Der Analysis, Volume 1 (German Edition) by Rudolf Lipschitz, 2010-04-20
  4. Briefwechsel mit Cantor, Dedekind, Helmholtz, Kronecker, Weierstrass und anderen (Dokumente zur Geschichte der Mathematik) (German Edition) by Rudolf Lipschitz, 1986
  5. Untersuchungen Ueber Die Summen Von Quadraten (German Edition) by Rudolf Lipschitz, 2010-01-01
  6. Rudolf Lipschitz
  7. Grundlagen der Analysis by Rudolf Lipschitz, 2006-01-01
  8. Lehrbuch der analysis (German Edition) by Rudolf Lipschitz, 1877-01-01
  9. Lehrbuch Der Analysis: Bd. Grundlagen Der Analysis (German Edition) by Rudolf Lipschitz, 2010-02-09
  10. Lehrbuch Der Analysis, Volume 1 (German Edition) (2010 Reprint) by Rudolf Lipschitz, 2010-01-26
  11. Lehrbuch der Analysis. Band 1: Grundlagen der Analysis by Rudolf Lipschitz, 1877
  12. Lehrbuch der Analysis. Band 1: Grundlagen der Analysis Band 2: Differential- und Integralrechnung by Rudolf Lipschitz, 1877

61. Bio For Dave Rusin
Christoph Gudermann, Julius Plücker (1823), rudolf lipschitz (1853). Gudermann straining unclear;, Univ. Marburg, Advisor unknown, Gustav Dirichlet (1820s)
http://www.math.niu.edu/~rusin/bio.html
Dave Rusin
Publishing under the sneaky pseudonym "David J. Rusin"
Born
  • yes (OK, it was in 1957)
Education
  • Freehold (N.J.) High '75 (Bruce Springsteen went here!) Princeton A.B. '78 (Brooke Shields went here!) U of Chicago Ph.D. '84 (Ed Asner went here!)
Employment
  • Northwestern '84-'86 (Cindy Crawford went here!) Northern Illinois University '86- (Dennis Hastert went here!) MSRI '89 (Tom Lehrer was here!)
NIU is in DeKalb, Illinois, home town of Cindy Crawford, barbed wire, and DeKalb Seed Corn famous for its winged-ear-of-corn logo).
Publications
As soon as I can find them I will put the TeX files for these papers in the directory of research materials.
  • What is the probability that two elements of a finite group commute?, Pacific Jour. Math. 82 (1979), 237-247. Cyclotomic polynomials and nonstandard dice, Discrete Math. 27 (1979), 245-259. (with Joseph Gallian) Representations of metabelian groups, J. Pure Appl. Algebra 18 (1980), 283-291. Groups admitting nilpotent fixed-point-free automorphism groups, Jour. Algebra 64 (1980), 89-92. Factoring groups of integers modulo $N$, Math. Mag. 53 (1981), 33-36. (with Joseph Gallian).

62. People Whose Names Are Embedded In Math Subject Classifcation
Julius Wihelm Richard (18321903) lipschitz, rudolf (1832-1918) Sylow,Peter (1832-1925) Neumann, Carl (1833-1902) Fuchs, Lazarus (1834-1886) Laguerre,
http://www.math.niu.edu/~rusin/known-math/98/MSC.names
Date: Sun, 6 Jun 1999 12:40:49 +0200 From: "Yuri I. Manin" Date: Thu, 28 Mar 2002 12:43:10 -0800 From: "Antreas P. Hatzipolakis" Cc: rusin@math.niu.edu, a_arakelov@yahoo.co.uk To: hyacinthos@yahoogroups.com Subject: Suren Arekelov This list is devoted to Triangle Geometry. However, from time to time, will be allowed discussions on themes of general interest. Especially when the geometric traffic is not too much. (like this day). Some time ago I asked for information (in fact I FWD-ed an e-mail of D. Rusin) about a notable mathematician who disappeared from the math. horizon. The mathematician is the algebraic geometer Suren Arakelov. Andrei Arakelov has kindly sent the following: > > Date: Thu, 28 Mar 2002 11:29:55 +0000 (GMT) > From: Andrei Arakelov > Subject: Suren Arakelov > To: Antreas P. Hatzipolakis Date: Sat, 05 Feb 2005 11:35:53 +0000 Message-ID:

63. Kevin McCurley's Mathematical Lineage
He is known to have two advisors Julius Plücker and rudolf lipschitz (1853,Berlin, Germany); Plücker s PhD was in 1823 under Christian Ludwig Gerling in
http://www.swcp.com/~mccurley/lineage.html
Mathematics research has a long and rich history. For some reason mathematicians like to trace their mathematical lineage (represented by teachers). Mine is given below, and you can find a visual representation in SVG
  • My Ph.D. advisor was in 1981 under Paul T. Bateman in Illinois. Illinois 1981)
  • Bateman's PhD was in 1947 under Hans Rademacher at the University of Pennsylvania.
  • Rademacher's PhD was in 1916 under
  • Hermann Minkowski David Hilbert
  • Minkowski's PhD was in 1885 under C. L. Ferdinand Lindemann
  • Lindemann's PhD was in 1873 under C. Felix Klein
  • Klein received his PhD in 1868 in Bonn. He is known to have two advisors: and Rudolf Lipschitz (1853, Berlin, Germany)
  • Christian Ludwig Gerling in Marburg, Germany.
    • Gerling's PhD was in 1812 under
    • Johann Friedrich Pfaff in Helmstedt, Germany.
    • Pfaff's PhD was in 1786 under Abraham Gotthelf Kaestner
    • Kaestner's PhD was in 1739 under Christian August Hausen in Leipzig, Germany)
    • Hausen's PhD was in 1713 under Christian Andreas Siber in Wittenberg, Germany)
    • Siber's PhD was in 1682 in Wittenberg, Germany. His advisor is apparently unknown.
  • Lipschitz's PhD was in 1853 in Berlin. He had two advisors:

64. Pavol Hell Gert Sabidussi Edmund Hlawka Nikolaus Hofreiter Philipp
rudolf lipschitz (and Julius Pluecker with ancestors Christian Ludwig Gerlingand Carl Friedrich Gauss) Gustav Dirichlet (and Martin Ohm)
http://www.cs.sfu.ca/~pavol/tree.html
Pavol Hell
Gert Sabidussi
Edmund Hlawka
Nikolaus Hofreiter
Philipp Furtwaengler
Felix Klein
Rudolf Lipschitz (and Julius Pluecker with ancestors
Christian Ludwig Gerling and Carl Friedrich Gauss)
Gustav Dirichlet (and Martin Ohm)
Simeon Poisson (and Jean-Baptiste Fourier)
Joseph Luis Lagrange (for both Poisson and Fourier) Leonhard Euler Johann Bernoulli Jacob Bernoulli Gottfried Leibnitz Erhard Weigel

65. Academic Genealogy
rudolf lipschitz (1853) Gustav Dirichlet (1827) Simeon Poisson Joseph LagrangeLeonhard Euler (1726) Johann Bernoulli (1694) Jacob Bernoulli
http://www.milosh.net/us/genealogy.htm

66. Origins Of Hestenes' Work
However, it should be mentioned that rotations of Euclidean spaces were representedby spin groups, Clifford algebras, first by rudolf lipschitz 1880/1886.
http://world.std.com/~sweetser/quaternions/spr/origins.html
Origins of Hestenes' work
Subject: Re: Solving problems in special relativity w/quate
Date: 1997/04/06
Newsgroups: sci.physics.research
[More Headers]
mark@omnifest.uwm.edu (Mark Hopkins) writes:
> "Spacetime Algebra", by David Hestenes.
Hestenes' "Space-Time Algebra", 1966, is a nice book. The issues you
mention were discussed already by Marcel Riesz: "Clifford Numbers and
Spinors", 1958, reprinted in a volume edited by E.F. Bolinder et al.,
Kluwer, 1993, ISBN 0-7923- 2299-1, see Zentralblatt fur Mathematik
823/1995, 15028. Riesz deals with Lorentz transformations of the Minkowski space-time. However, it should be mentioned that rotations of Euclidean spaces were represented by spin groups, Clifford algebras, first by Rudolf Lipschitz 1880/1886. Pertti Lounesto http://www.math.hut.fi/~lounesto Back to: SPR posts Home Page Quaternion Physics Pop Science ... Contact Doug

67. This Information Was Taken From The Mathematics Genealogy Project
Klein s Advisors rudolf Otto Sigismund lipschitz, Ph.D. Universität Berlin 1853and Julius Plücker, Ph.D. Universität Marburg 1823.
http://www.math.usf.edu/~eclark/genealogy.html
    This information was taken from the Mathematics Genealogy Project.
  • Me: William Edwin Clark, Ph.D. Tulane University, 1964. My Advisor: Alfred Hoblitzelle Clifford, Ph.D. California Institute of Technology 1933. Clifford's Advisor: Eric Temple Bell, Ph.D. Columbia University 1912 Bell's Advisor: Frank Nelson Cole, Ph.D. Harvard University 1886. Cole's Advisor: C. Felix Klein, Klein's Advisors: Rudolf Otto Sigismund Lipschitz Lipschitz' Advisor: Gustav Peter Lejeune Dirichlet. Dirichlet's Advisors: Simeon Denis Poisson and Jean-Baptiste Joseph Fourier. Advisor of both Fourier and Poisson: Joseph Louis Lagrange. Lagrange (1736-1813) apparently was self-taught and had no advisor.

  • Since I wrote the above more links have been added to the Mathematics Genealogy Project and I can now trace my ancestory back to Gauss himself. For more information on some of the mathematicians listed above see: The MacTutor History of Mathematics Archive. by John J. O'Connor and Edmund F. Robertson, St Andrews University, Scotland The History of Mathematics by David R. Wilkins Trinity College, Dublin, Ireland

68. Benjamin Kuipers, Academic Genealogy
1911); William Edward Story (Leipzig, 1875); C. Felix Klein (RheinischeFriedrichWilhelms-Universität Bonn, 1868); rudolf lipschitz (Berlin, 1853)
http://www.cs.utexas.edu/users/kuipers/genealogy.html
Benjamin Kuipers
Department of Computer Sciences
The University of Texas at Austin
  • B.A. in Mathematics, Swarthmore College, 1970.
  • Ph.D. in Mathematics, MIT, 1977.
Academic Genealogy
One's doctoral advisor is one's academic parent.
  • Benjamin Kuipers (MIT, 1977)
  • Marvin Minsky (Princeton, 1954)
      "[Albert] Tucker was official thesis advisor. But he was mainly a topologist, and
      [John] Tukey was the faculty member with closest interests in my work.
      John von Neumann at the IAS was the one who convinced them that
      my neural net theories would be important in the future.
      But actually it was Lloyd Shapley, a fellow graduate student
      and a world-class game-theorist, who actually read the thesis in detail.
      So, really, the 'academic genealogy' is conceptually somewhat defective."
  • Albert Tucker (Princeton, 1932)
  • Solomon Lefschetz (Clark U., 1911)
  • William Edward Story (Leipzig, 1875)
  • Rudolf Lipschitz (Berlin, 1853)
  • Simeon Poisson and Jean-Baptiste Fourier
  • Joseph Lagrange (mentored by Euler, from about 1754)
  • Leonhard Euler (Basel, 1726)

69. C. Lee Giles Academic Genealogy
Ph.D. PhilippsUniversität Marburg, and Professor rudolf lipschitz, Dr. phil . Back to lipschitz, his advisors were Professor Gustav Peter Lejeune
http://clgiles.ist.psu.edu/academic_genealogy.shtml

70. Erik Demaine's Academic Geneology
rudolf lipschitz, PhD, Universität Berlin 1853. Gustav Dirichlet, HonoraryUniversität Bonn 1827. Simeon Denis Poisson, PhD. same advisor as Fourier
http://theory.csail.mit.edu/~edemaine/geneology.html
Erik Demaine 's Academic Geneology
Erik D. Demaine , PhD, University of Waterloo, 2001

71. The Mathematics Genealogy Project - Update Data For Rudolf Lipschitz
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=19964

72. Cornell Univeristy Mathematics Library
lipschitz, rudolf, Lehrbuch der Analysis. Bd.2 ,1880, 754
http://www.library.cornell.edu/math/reformatjkl.php
Catalog Library Gateway Articles Databases ... ASTech
Reformatted Books: J K L
Available for purchase from the Mathematics Library
J
[On to K] [Back to Top] Author Title # of images Jaenisch, Karl Friedreich von "Traite des Applications de l'Analyse Mathematique au Jeu des Echecs",1862 Jessop, Charles Minshall "Quartic Surfaces with Singular Points",1916 Jessop, Charles Minshall "Treatise on the line complex",1903 Joachimsthal, Ferdinand "Anwendung der Differential und Integralrechnung auf die Allgemeine Theorie...",1890 Joly, Charles Jasper "Manual for Quaternions",1905 Jones, A. Clement "Introduction to algebraical geometry",1912 Jones, George William "Treatise on Projective Geometry",1888 Jouffret, E. "Melanges de Geometrie a Quatre Dimensions",1906 Jouffret, E. "Traite Elementaire de Geometrie a Quatre Dimensions et Introduction a la Geometrie...",1903 Junker, Friedrich H "Symmetrischen Functionen der Gemeinschaftlichen Variablenpaare Ternarer...",1897

73. Famous And Infamous Lifshitzs
rudolf Otto Sigismund lipschitz born nr Konigsberg, Germany 14 May 1832 diedBonn, Germany 1903. lipschitz carried out many important and fruitful
http://benchpost.com/famtree/lifshitz/famouslifshitz.htm
Famous and Infamous Lifshitzes in History
Lifshitz and the Vilna Goans There are a number of Lipshitz (etc) families appearing in book "Eliyahu's Branches, the Descendants of the Vilna Gaon and His Family" (published by Avotaynu). Treina Vilner, daughter of Shlomo-Zalmen Vilner( the son of Eliyahu Goan of Vilna) and Rikhel Kissin was born c 1776 in Vilna, Lithuania. She married Tsvi Hersh Lipshitz. The Lipshitz, Grad, Segal, Olkenitsky, Helman, Gurwicz and Kushilevky families are descended from this branch. Shlomo-Zalmen's brother Avraham, b 1765 married Sarah Mindes Lipshitz, daughter of Noakh "Mindes" Lipshitz and Minda Pesseles., Chaim Freedman Petah Tikvah, Israel email: chaimjan@zahav.net.il Lifshitz and fashion Ralph Lauren changed his name from Ralph Lipschitz Lifshitz equation Rudolf Otto Sigismund Lipschitz born nr Konigsberg, Germany 14 May 1832 died Bonn, Germany 1903 Lipschitz carried out many important and fruitful investigations in number theory, in the theory of Bessel functions and of Fourier series, in ordinary and partial differential equations, and in analytical mechanics and potential theory. Of special note are his extensive investigations concerning n-dimensional differential forms and related questions of the calculus of variations, geometry, and mechanics. This work in which he drew upon the developments that Riemann had presented in his famous lecture on the basic hypotheses underlying geometry contributed to the creation of a new branch of mathematics.

74. Probably Almost All Mathematicians Working Today, If They Trace
lipschitz, rudolf Otto Sigismund von Littrow, Joseph Johann Markov, AndreiAndreyevich Mazurkiewicz, Stefan Mencke, Otto Ohm, Martin Pfaff, Johann Friedrich
http://www.math.technion.ac.il/~mcwikel/genealogy/gen-0.htm
Probably almost all mathematicians working today, if they trace back to find who were their teachers and the teachers of their teachers, and so on, will find that they are the "descendants" of a number of very famous mathematicians. In my case I found that, via my splendid Ph.D. supervisor Yoram Sagher, I am the "descendant" of, among others, Jacob and Johann Bernoulli, Chebyshev, Darboux, Dirichlet, Euler, Fourier, Gauss, Hilbert, Klein, Lagrange, Leibniz, Markov, Picard, Poisson, Sierpinski, Steinhaus, and Zygmund. My mathematical "genealogy" is shown in five files. (Several files are needed because some of my "ancestors" had two Ph.D. supervisors.) Just click on each number to go to the corresponding file. I obtained the information in these files from the mathematical genealogy website.
http://www.genealogy.math.ndsu.nodak.edu

or its "mirror", which currently works better, at
http://www.genealogy.ams.org
More information about my teacher and my teacher's teacher's (where "teacher" means supervisor for Ph.D.) etc. and their theses can be found via this website. In these files, the year when, and city or university where a mathematician obtained his doctoral degree is written under his name, if these are known. A number in square brackets [N] next to the name of some mathematician where N=1,2,3,4 or 5, means that by clicking on that "[N]" you can move to the file which contains details of the mathematical "ancestry" of that mathematician.

75. List Of Scientists By Field
Translate this page lipschitz, rudolf Otto Sigismund. Lisboa, João de. Lisboa, João de. Lissajous,Jules Antoine. Lister, Joseph. Lister, Joseph Jackson. Lister, Martin
http://www.indiana.edu/~newdsb/l.html
La Brosse, Guy de La Brosse, Guy de La Brosse, Guy de La Condamine, Charles-Marie de La Condamine, Charles-Marie de La Faille, Charles de La Hire, Gabriel-Philippe de La Hire, Gabriel-Philippe de La Hire, Gabriel-Philippe de La Hire, Philippe de La Hire, Philippe de La Hire, Philippe de La Hire, Philippe de La Mettrie, Julien Offray de La Mettrie, Julien Offray de La Mettrie, Julien Offray de La Mettrie, Julien Offray de La Rive, Arthur-Auguste de La Rive, Charles-Gaspard de La Rive, Charles-Gaspard de La Rive, Charles-Gaspard de La Roche, Estienne de Lacaille, Nicolas-Louis de Lacaille, Nicolas-Louis de Lack, David Lambert Lacroix, Alfred Ladenburg, Albert Ladenburg, Rudolf Walther Lagny, Thomas Fantet de Lagny, Thomas Fantet de Lagrange, Joseph Louis Lagrange, Joseph Louis Lagrange, Joseph Louis Laguerre, Edmond Nicolas Lalla Lamarck, Jean-Baptiste-Pierre- Antoine De Monet de Lamb, Horace Lamb, Horace Lamb, Horace Lambert, Johann Heinrich Lambert, Johann Heinrich Lambert, Johann Heinrich Lambert, Johann Heinrich Lamont, Johann von Lamont, Johann von

76. New Dictionary Of Scientific Biography
Translate this page lipschitz, rudolf Otto Sigismund Littlewood, John Edensor Liu Hui Lobachevsky,Nikolai Ivanovich Loewner, Charles Loewy, Alfred Loomis, Elias Loria, Gino
http://www.indiana.edu/~newdsb/math.html
Make Suggestions
Mathematics
Abel, Niels Henrik
Abraham Bar ?iyya Ha-Nasi
Abu Kamil Shuja? Ibn Aslam Ibn Mu?ammad Ibn Shuja?
Abu'l-Wafa? al-Buzjani, Mu?ammad Ibn Mu?ammad Ibn Ya?ya Ibn Isma?il Ibn al- ?Abbas
Adams, John Couch
Adelard of Bath
Adrain, Robert
Aepinus, Franz Ulrich Theodosius
Agnesi, Maria Gaetana
Aguilon, François d'
A?mad Ibn Yusuf Aida Yasuaki Ajima Naonobu Akhiezer, Naum Il'ich Albert, Abraham Adrian Albert of Saxony Alberti, Leone Battista Aleksandrov, Pavel Sergeevich Alembert, Jean Le Rond d' Alzate y Ramírez, José Antonio Ampère, André-Marie Amsler, Jakob Anatolius of Alexandria Anderson, Oskar Johann Viktor Andoyer, Henri Angeli, Stefano Degli Anthemius of Tralles Antiphon Apollonius of Perga Appell, Paul Arbogast, Louis François Antoine Arbuthnot, John Archimedes Archytas of Tarentum Argand, Jean Robert Aristaeus Aristarchus of Samos Arnauld, Antoine Aronhold, Siegfried Heinrich Artin, Emil Atwood, George Autolycus of Pitane Auzout, Adrien

77. Www.mathematik.de | Differentialgleichungen
rudolf lipschitz,Sofia Kowalewskaja, Tolme Runge, David Hilbert, Ivar Fredholm
http://www.mathematik.de/mde/information/landkarte/gebiete/differentialgleichung
Impressum Kontakt Suchen [Druckversion]
Differentialgleichungen
x f(x) aus einer Gleichung errechnet werden soll, in der eine oder mehrere ihrer Ableitungen ( f'(x) f''(x) , usw.) vorkommen.
f'(x) f(x) f(x) ce x c c f(0) f(x) ce x nur noch die eine f(x) e x . Ein solches Problem (eine Differentialgleichung und ein vorgegebener Punkt) bezeichnet man als "Anfangswertproblem".
f'''(x)f'(x) f(x)''/f'(x) f (x)
f''(x) g
= beschrieben, wobei g Isaac Newton Gottfried Leibniz Jakob Bernoulli Daniel Bernoulli Leonhard Euler Zu unterscheiden sind auch zwei Arten von Differentialgleichungen:
Joseph-Louis Lagrange Augustin Cauchy Carl-Gustav Jacobi I. Newton (1643-1727) und G. Leibniz
Im 18. Jahrhundert kamen dann Mathematiker wie J. Bernoulli (1654-1705), der Differentialgleichungen benutzte, um mit ihrer Hilfe die Planetenbahnen zu beschreiben oder L. Euler D. Bernoulli J.L. Lagrange
komplexen
(1777-1855) und A. Cauchy Rudolf Lipschitz Sofia Kowalewskaja Tolme Runge David Hilbert Ivar Fredholm C.G. Jacobi R. Lipschitz S. Kowalewskaja (1850-1891) und (1815-1897) und im 20. Jahrhundert durch die Ergebnisse, welche von

78. Tran Thong, PhD, Princeton University 1975, Advisor: Bede Liu
Translate this page rudolf Otto Sigismund lipschitz, Dr. phil. Universität Berlin 1853. AdvisorsGustav Dirichlet, Martin Ohm. 9. Gustav Peter Lejeune Dirichlet,
http://www.bme.ogi.edu/~trant/Advisorgenealogy.htm
Tran Thong , Ph.D., Princeton University Advisor: Bede Liu Bede Liu , Sc.D., Polytechnic Institute of Brooklyn Advisor: John G. Truxal 3. John G. Truxal, Sc.D. Massachusetts Institute of Technology 1950, Advisor: Ernst Guillemin 4. Ernst Adolph Guillemin, Ph.D. Ludwig-Maximilians-Universität München 1926, Advisor: Arnold Sommerfeld 5. Arnold Johannes Wilhelm Sommerfeld , Ph.D. Universität Königsberg 1891, Advisor: C. L. Ferdinand Lindemann 6. C. L. Ferdinand Lindemann , Ph.D. Friedrich-Alexander-Universität Erlangen-Nürnberg 1873 Advisor: C. Felix Klein 7. C. Felix Klein , Ph.D. Rheinische Friedrich-Wilhelms-Universität Bonn 1868, Advisors: Julius Plücker, Rudolf Lipschitz 8. Julius Plücker , Ph.D. Philipps-Universität Marburg 1823, Advisor: Christian Gerling 9. Christian Ludwig Gerling, Dr.phil. Georg-August-Universität Göttingen 1812, Advisor: Carl Gauss 10. Carl Friedrich

79. Georg Cantor
Translate this page lipschitz, rudolf (1832-1903). Briefwechsel mit Cantor, Dedekind, Helmholtz,Kronecker, Weierstrass und anderen, Freiburg i.
http://www.dean.usma.edu/math/people/rickey/hm/cantor.htm
Georg Cantor (1845-1918) This is intended to be a complete list of the publications of Georg Cantor as well as translations of those works. It is followed by works which contain his correspondence and by a list of some of the most valuable English language historical books and papers dealing with Cantor and his work. Corrections and suggestions would be most welcome. Send email to fred-rickey@usma.edu
  • De aequationibus secundi gradus indeterminatis.
    Diss. Phil. Berlin 1867.
    = Gesammelte Abhandlungen,
    Über einfache Zahlensysteme.
    Zeitschrift für Math. und Physik 14(1869), 121-128.
    = Gesammelte Abhandlungen,
    De transformatione formarum ternarium quadricarum.
    Habilitationsschrift Halle 1869.
    = Gesammelte Abhandlungen,
    Über einen die trigonometrischen Reihen betreffenden Lehrsatz.
    Journal f. reine und angew. Math. 72(1870), 130-138. = Gesammelte Abhandlungen, Beweis, daß eine für jeden reellen Wert von x durch eine trigonometrische Reihe gegebene Funktion f(x) sich nur auf eine einzige Weise in dieser Form darstellen läßt. Journal f. reine und angew. Math. 72(1870), 139-142.
  • 80. Olivier Ledoit Homepage
    Translate this page rudolf lipschitz, Universität Berlin, 1853 rudolf Otto Sigismund lipschitzBiography. Famous for the lipschitz condition.
    http://www.ledoit.net/genealogy.htm
    My mathematical lineage was established thanks to the Mathematics Genealogy Website Gottfried Wilhelm Leibniz
    Biography
    Famous for inventing differential and integral calculus. Dr. jur. Universität Altdorf Dissertation: Disputatio Inauguralis De Casibus Perplexis In Jure
    Student: Jacob Bernoulli Jacob Bernoulli
    Biography
    Famous for inventing the Law of Large Numbers. Advisor: Gottfried Leibniz
    Student: Name Year Johann Bernoulli Johann Bernoulli
    Biography
    Famous for inventing de l'Hopital's rule. Advisor: Jacob Bernoulli
    Student: Name School Year Leonhard Euler Universität Basel Leonhard Euler
    Biography
    Famous for the Euler constant and more. Ph.D. Universität Basel Advisor: Johann Bernoulli
    Student: Joseph Lagrange
    Joseph Louis Lagrange
    Biography
    Famous for the Lagrange multiplier. Advisor: Leonhard Euler Students: Name School Jean-Baptiste Fourier Giovanni Plana École Polytechnique Simeon Poisson Jean-Baptiste Joseph Fourier Biography Famous for the Fourier series. Advisor: Joseph Lagrange Students: Name School Year Gustav Dirichlet Rheinische Friedrich-Wilhelms-Universität Bonn Giovanni Plana École Polytechnique Gustav Peter Lejeune Dirichlet Biography Famous for the Dirichlet boundary conditions for partial differential equations.

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