1. Gudermann Christoph Gudermann. Born 25 March 1798 in Christoph Gudermann s fatherwas a school teacher. Christoph was academically able in http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Gudermann.html

Christoph Gudermann Born: 25 March 1798 in Vienenburg (near Hildesheim), Germany Died: Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Christoph Gudermann Gudermann worked almost exclusively on spherical geometry and special functions but he is not remembered for any original mathematical results in these areas. This is not to say that he did not do useful original research but just that he suffered the fate that many mathematicians have suffered, namely that a comprehensive theory was developed later which meant that his contributions fused into the theory. His own contributions tended to be a whole series of special cases (although this could not have been obvious at the time) which were forgotten later when the general results which included them were found. He did write a book on spherical geometry and [1]:- In the introduction he pointed out that a plane was a special case of a spherical surface, that is a sphere with infinite radius. For this reason and because of its constant curvature there exist many similarities between spherical geometry and plane geometry; yet at the same time Gudermann considered more interesting the study of cases where the similarity no longer holds. In his more extensive work on the theory of special functions Gudermann published several papers beginning in 1830 which extended work which was developed by Euler Landen Legendre Abel and Jacobi . He summarised his contributions in two monographs published in 1833 and 1844. A third monograph, which he promised to write on the topic, was not written because of his early death.

2. Gudermann Translate this page gudermann christoph, allemand, 1798-1852. Étudiant les mathématiquestout en suivant à Göttingen des études théologiques, Gudermann http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Gudermann.html

GUDERMANN Christoph, allemand, 1798-1852 Weierstrass fonctions elliptiques dont Abel fut l'initiateur (1823) ce qui explique les premiers travaux de Weierstrass convergence uniforme Cauchy et Weierstrass fonctions elliptiques, notations de Gudermann : Duhamel Sarrus

3. Gudermann Christoph Gudermann. Born 25 Christoph Gudermann taught at Münsterand worked on spherical geometry and special functions. He is http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Gdrmnn.htm

Christoph Gudermann Born: 25 March 1798 in Vienenburg (near Hildesheim), Germany Died: Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Christoph Gudermann Weierstrass between 1839 and 1841 while Weierstrass worked for his secondary school teacher's certificate. Gudermann, at this time, was particularly interested in the theory of elliptic functions and in the expansion of functions by power series. This was to influence Weierstrass in the direction his research would take. References (3 books/articles) Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Gudermann.html

4. Biography-center - Letter G doctor.cfm/491.html. gudermann, christoph. wwwhistory.mcs.st-and.ac.uk/~history/ Mathematicians/gudermann.html. Guðmundsson, Kristmann http://www.biography-center.com/g.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 G 558 biographies www.pathfinder.com/time/time100/scientist/profile/godel.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Godel.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Gopel.html G.i., American www.pathfinder.com/time/time100/heroes/profile/gi01.html Gabbiani, Beppe www.grandprix.com/gpe/drv-gabbep.html Gabelich, Gary www.hickoksports.com/biograph/gabelichg.shtml Gable, Daniel M. www.hickoksports.com/biograph/gabledan.shtml Gabor, Dennis www.nobel.se/physics/laureates/1971/gabor-autobio.html Gachot, Bertrand www.grandprix.com/gpe/drv-gacber.html Gaddi, Taddeo www.kfki.hu/~arthp/bio/g/gaddi/taddeo/biograph.html Gadgil, Ashok web.mit.edu/invent/www/inventorsA-H/gadgil.html Gadgil, Ashok

5. Week166 at Muenster to study under christoph gudermann, who worked on elliptic functions and spherical geometry. gudermann strongly encouraged Weierstrass in his mathematical http://math.ucr.edu/home/baez/week166.html

March 27, 2001 This Week's Finds in Mathematical Physics (Week 166) John Baez Do you know this number? They say that mathematics is not really about numbers, and they're right. But sometimes it's fun to play around with the darn things! Given any positive number you can work out its continued fraction expansion, like this: sqrt(2) = 1 + 1 - 2 + 1 2 + 1 - 2 + 1 2 + 1 2 + 1 . . . But normally it won't look so pretty! A number is rational if and only if the continued fraction stops after finitely many steps. If its continued fraction expansion eventually repeats, like this: sqrt(3) = 1 + 1 - 1 + 1 2 + 1 - 1 + 1 2 + 1 1 + 1 . . . then it satisfies a quadratic equation with integer coefficients. So the continued fraction expansion of e can't ever repeat... but it's cute nonetheless:

6. Bio For Dave Rusin Felix Klein (1868) christoph gudermann. Julius Plücker (1823) Rudolf Lipschitz (1853) gudermann's training unclear; Univ. Marburg, Advisor unknown 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).

7. Bthomas Emilie Virginia Haynsworth. 1916 1985. Her Mathematical Lineage (Part II) Return to. Part I. Dr. His chief mentor was christoph gudermann in the 1840s. gudermann ( no picture available) was a http://science.kennesaw.edu/~bthomas/page7.html

Emilie Virginia Haynsworth Her Mathematical Lineage (Part II) Return to Part I Dr. Haynsworth, a proud native of Sumter in South Carolina, earned her Ph.D at the University of North Carolina in Chapel Hill in the mid-1950s, where her work was directed by Alfred T. Brauer. Dr. Brauer came to the United States in the late 1930s, a displaced Jew from Nazi Germany. He earned his doctorate at the University of Berlin in the late 1920s, and was a student of Issai Schur. Frobenius also earned his doctorate at the University of Berlin, in 1870, where he studied under the great Karl Weierstrass. Gudermann Thus, Emilie Haynsworth is among the pantheon of mathematicians with doctorates whose mathematical lineage links directly back to "The Prince of Mathematics," Johann Carl Friedrich Gauss. Math 1101 Math 1106 TI-83 Other Information ... bthomas@kennesaw.edu

8. My Mathematical Lineage Howie Carl Gauss. christoph gudermann. Karl Weierstrass http://www.math.psu.edu/weiss/lin.html

9. Untitled Karl Weierstrass 1854. christoph gudermann 1841. Carl Friedrich Gauss 1799 Christian Hausen 1713. Johann christoph Wichmannshausen 1685 http://math.berkeley.edu/~allenk/AK1996.html

This is my family tree. All info from, and links to, the Mathematics Genealogical Project. Note that they've corrected (?) some of the links, and I did too on Dec 1 2003. I had two advisors, as did many of my (known) ancestors. Allen Knutson 1996 Victor Guillemin 1962 Shlomo Sternberg 1957 Aurel Wintner 1928 ... Carl Friedrich Gauss 1799 (continued elsewhere) Heinrich Brandes 1800 G. Lichtenberg 1765 Abraham Kaestner 1739 (continued elsewhere) Karl Weierstrass 1854 (continued elsewhere) Friedrich Schottky 1875 Karl Weierstrass 1854 Christoph Gudermann 1841 Carl Friedrich Gauss 1799 ... Sir William Hodge My wife, a geophysicist, also traces back to Helmholtz!

10. Iterated Function System Weierstrass' advisor christoph gudermann. Klein's advisor - Julius Plücker from the University of Bonn http://www.uwec.edu/gouletmr/tree.htm

My PhD Advisor - Robert M. Burton Bob's Advisor - Donald S. Ornstein Ornstein's advisor - Irving Kaplansky Kaplansky's advisor - Saunders MacLane MacLane's advisor - Paul Isaac Bernays MacLane's advisor - Hermann Weyl Bernays' advisor - Edmund Landau Weyl's advisor - David Hilbert Landau's advisor - Ferdinand Frobenius Hilbert's advisor - Carl Louis Ferdinand von Lindemann Frobenius's advisor - Karl Weierstrass Lindemann's advisor - Felix Klein Weierstrass' advisor - Christoph Gudermann Klein's advisor - Julius Plücker from the University of Bonn

11. Gudermann Biography of christoph gudermann (17981852) christoph gudermann. Born 25 March 1798 in Vienenburg (near Hildesheim), Germany christoph gudermann's father was a school teacher. christoph was http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Gudermann.html

Christoph Gudermann Born: 25 March 1798 in Vienenburg (near Hildesheim), Germany Died: Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Christoph Gudermann Gudermann worked almost exclusively on spherical geometry and special functions but he is not remembered for any original mathematical results in these areas. This is not to say that he did not do useful original research but just that he suffered the fate that many mathematicians have suffered, namely that a comprehensive theory was developed later which meant that his contributions fused into the theory. His own contributions tended to be a whole series of special cases (although this could not have been obvious at the time) which were forgotten later when the general results which included them were found. He did write a book on spherical geometry and [1]:- In the introduction he pointed out that a plane was a special case of a spherical surface, that is a sphere with infinite radius. For this reason and because of its constant curvature there exist many similarities between spherical geometry and plane geometry; yet at the same time Gudermann considered more interesting the study of cases where the similarity no longer holds. In his more extensive work on the theory of special functions Gudermann published several papers beginning in 1830 which extended work which was developed by Euler Landen Legendre Abel and Jacobi . He summarised his contributions in two monographs published in 1833 and 1844. A third monograph, which he promised to write on the topic, was not written because of his early death.

12. References For Gudermann References for christoph gudermann. Biography in 1990). Articleschristoph gudermann, Neue deutsche Biographie VII, 252253. KR http://www-gap.dcs.st-and.ac.uk/~history/References/Gudermann.html

References for Christoph Gudermann Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: Christoph Gudermann, Neue deutsche Biographie VII, K R Manning, The emergence of the Weierstrassian approach to complex analysis, Arch. History Exact Sci. T S Visser, From Nunez to Gudermann (loxodromy and logarithm) (Dutch), Euclides (Groningen) Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR September 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Gudermann.html

13. Education World Search netstoreusa.com/rkbooks/052/0521638739. shtml. gudermann. christoph. http//wwwgroups.dcs.st-and.ac.uk/~ history/Mathematicians/gudermann.html. Koch, christoph http://db.educationworld.com/search97cgi/s97r_cgi?queryText=Christoph Daniel Ebe

14. The Mathematics Genealogy Project - Christoph Gudermann christoph gudermann Biography According to our current online database,christoph gudermann has 1 students and 7189 descendants. http://www.genealogy.ams.org/html/id.phtml?id=29458

15. References For Gudermann References for christoph gudermann. Biography in 1990). Articleschristoph gudermann, Neue deutsche Biographie VII, 252253. TS http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ5EF7.htm

References for Christoph Gudermann Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: Christoph Gudermann, Neue deutsche Biographie VII, T S Visser, From Nunez to Gudermann (loxodromy and logarithm) (Dutch), Euclides (Groningen) Close this window or click this link to go back to Gudermann Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Gudermann.html

16. Christoph Gudermann Translate this page christoph gudermann (1798 - 1851) Matemático germânico nascido em Vienenburg,próximo a Hildesheim, instrutor de Münster, professor http://www.sobiografias.hpg.ig.com.br/ChrstopG.html

Christoph Gudermann gudermanianas Weierstrass Nova B U S C A :

17. So Biografias Britanicos Em G Translate this page Gilbert Hovey Grotius, Hugo Grove, George Grumman, Leroy Randle Guagliardi, CasteloCarlos Guarneri, Giuseppe Antonio gudermann, christoph Gudin, Eugênio Che http://www.sobiografias.hpg.ig.com.br/LetraGB.html

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18. Earliest Known Uses Of Some Of The Words Of Mathematics (M) Das Fachwort Mantisse hatte Briggs noch nicht" (p. 252). christoph J. Scriba MODULAR FUNCTION. christoph gudermann (17981852) called elliptical functions "Modularfunctionen" (DSB http://members.aol.com/jeff570/m.html

Earliest Known Uses of Some of the Words of Mathematics (M) Last revision: May 29, 2004 MACLAURIN'S SERIES is named for Colin Maclaurin Maclaurin's theorem appears in 1820 in Collection of Examples of the Applications of the Differential and Integral Calculus by G. Peacock [Mark Dunn]. In 1849, An Introduction to the Differential and Integral Calculus, 2nd ed., by James Thomson has: "A particular case of this formula is commonly called Maclaurin's theorem, because it was first made generally known by that writer. It had been given previously, however, by Stirling, another Scotch mathematician; and therefore, if a particular case of Taylor's general theorem should be named after any other mathematician, this ought to be called Stirling's theorem. " Thomson subsequently uses the term Stirling's theorem throughout the book. McLaurin's formula is found in English in 1855 in Elements of the differential and integral calculus by Albert Ensign Church [University of Michigan Digital Library]. Nouv. Ann. Maclaurin's series is found in English in 1831 in the second edition of Elements of the Differential Calculus (1836) by John Radford Young: "All that is meant is, that the function in

19. Mathematicians From DSB Translate this page Gregory, James, 1638-1675. Gua de Malves, Jean Paul de, $\sim$1712-1786. gudermann,christoph, 1798-1852. Hamilton, William Rowan, 1805-1865. Hankel, Hermann, 1839-1873. http://www.henrikkragh.dk/hom/dsb.htm

Last modification: document.write(document.lastModified) Webmaster Validate html Mathematicians from the Dictionary of Scientific Biography (DSB) Abel, Niels Henrik Argand, Jean Robert Artin, Emil Beltrami, Eugenio Bérard, Jacques Étienne Bérard, Joseph Frédéric Berkeley, George Bernoulli, Johann (Jean) I Bernoulli, Jakob (Jacques) I Bertrand, Joseph Louis François Bessel, Friedrich Wilhelm Bianchi, Luigi Bjerknes, Carl Anton Bjerknes, Vilhelm Frimann Koren Bolyai, Farkas (Wolfgang) Bolyai, János (Johann) Bolzano, Bernard Bombelli, Rafael Borel, Émile (Félix-Édouard-Justin) Bouquet, Jean-Claude Briot, Charles Auguste Cantor, Georg Carathéodory, Constantin Cardano, Girolamo Cauchy, Augustin-Louis Cayley, Arthur Chebyshev, Pafnuty Lvovich Clairaut, Alexis-Claude Clausen, Thomas Clebsch, Rudolf Friedrich Alfred Colden, Cadwallader Collinson, Peter Condorcet, Marie-Jean-Antoine-Nicolas Caritat, marquis de Cramer, Gabriel Crelle, August Leopold d'Alembert, Jean le Rond de Morgan, Augustus Dedekind, (Julius Wilhelm) Richard Delambre, Jean-Baptiste Joseph Descartes, René du Perron

20. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï 1855 in Palermo, Italy Died 29 Oct 1914 in Palermo, Italy gudermann, christoph gudermannBorn 25 March 1798 in Vienenburg (near Hildesheim), Germany Died 25 http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=G

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