Here Are The Names Currently [April 1999] In The Index At Ercegovac, Milos D. Erd elyi, Arthur Erd"os, Paul Erd"s, Paul Erdelyi, Arthur Erd s Paul Erd s, Paul Erdos, P. Erdos, Paul Eremin, Eugene K http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Circle Packing A Mathematical Tale, Volume 50, Number 11 and some years later Reiner Kuhnau pointed out a 1936 proof by P. Koebe, so I refer to it here as the KA-T (Koebe- Andreev-Thurston) Theorem. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Biography Of Koebe, Paul Biography of Koebe, Paul http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
History Of Mathematics Chronology Of Mathematicians Guidobaldo del Monte (15451607) *SB *W Paul Wittich (c. 1546-1586) *W Thomas Digges (c. 1546-1595) *SB *MT *W Tycho Brahe (1546-1601) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Biography-center - Letter K Koebe, Paul wwwhistory.mcs.st-and.ac.uk/~history/M. .. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Koebe Biography of paul koebe (18821945) paul koebe s father was Hermann koebeand his mother was Emma Kramer. Hermann koebe owned a factory and was able to http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Koebe.html
Extractions: Version for printing Paul Koebe 's father was Hermann Koebe and his mother was Emma Kramer. Hermann Koebe owned a factory and was able to give his son a good education. Koebe attended a realgymnasium in Berlin. He entered this school in 1891 and there he studied religion, Latin and modern languages, history and geography, and mathematics and science. The course, which was based more on practical applications than that of the more academic gymnasium, still qualified Koebe to enter university. He studied first at Kiel University which he entered in 1900 but after one semester he moved to Berlin University where he was to study for five years. At Berlin his thesis was directed by Herman Schwarz and his additional examiner for the oral on his thesis was Friedrich Schottky Koebe was appointed to Leipzig University in 1910 as an extraordinary professor of mathematics. He became an ordinary professor in 1914 when he accepted a position at Jena university. He returned to Leipzig, this time as an ordinary professor, in 1926.
The Mathematics Genealogy Project - Paul Koebe According to our current online database, paul koebe has 7 students and 114descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=19497
The Mathematics Genealogy Project - Update Data For Paul Koebe 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=19497
Biography-center - Letter K koebe, paul wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/koebe.html;Koenigs, Gabriel www-history.mcs.st-and. ac.uk/~history/Mathematicians/Koenigs. http://www.biography-center.com/k.html
Extractions: 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 403 biographies K hayyam, Omar
Mathematical Family Tree - L.W. Marcoux Fejér, Leopold 1902; Fuchs, Richard 1897; koebe, paul 1905; Lichtenstein,Leon 1909; Meyer, Hans 1879. Weierstraß, Karl TW, Ph.D. 1854 Honourary http://www.math.uwaterloo.ca/~lwmarcou/FamilyTree.html
Extractions: 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]
Gallery Of Complex Analysts paul koebe (18821945), Arnaud Denjoy (1884-1974), John Edensor Littlewood (1885-1977).Wilhelm Blaschke (1885-1962), Marcel Riesz http://www.math.sunysb.edu/~zakeri/mat542/men/mca.html
Building Convex Polytopes way to construct such a polytope is to use the following theorem of paul koebe, koebe s Theorem Any planar graph is the contact graph of a set of http://compgeom.cs.uiuc.edu/~jeffe/open/makepoly.html
Extractions: convex hull problem. By projective duality, we can also reconstruct the polytope from the plane equations of its facets and one interior point, or equivalently, from a list of halfspaces whose intersection is the polytope. A polyhedral metric on the sphere assigns to each point a neighborhood that is either isometric to an open planar disk, except for a finite number of points whose neighborhoods are isometric to the apex of a cone. If the complete angle around every cone point is at most 2 pi , the metric is said to be convex pi . This glued simple polygon is called a net A net for the cube. Aleksandrov's Theorem: Any convex polyhedral metric can be realized by a unique convex polytope (up to congruence). For any convex polytope, we can define a net by "unfolding" it into the plane. It is open whether every polytope can be unfolded into a simple net, that is, one that does not overlap itself, by cutting along edges any net is an unfolding of a unique convex polytope (up to congruence). This actually requires solving two separate subproblems. The first is to find the preimages of the polytope edges on the polygon; this is usually called the
Jakob Nielsen Papers Box 61 koebe, paul 10 reprints. Lefschetz, Salomon 25 reprints and a 2 pagestyped manuscript by Lefschetz titled Locally Connected Sets and their http://www.math.ku.dk/arkivet/jnielsen/jnpapers.htm
Extractions: THE UNIVERSITY OF COPENHAGEN The homepage of the archive List of collections Jakob Nielsen papers A short description: This collection of Jakob Nielsen papers consists mainly of reprints, which Nielsen has received from other scientists and sorted by authors. In addition to the reprints there is other material from some of the persons, i.e. letters, manuscripts, applications for positions etc. All the material is from the period around 1890-1959 and the reprints are in many different languages. However, the additional material is mainly in Danish or German. Size: The collection is contained in 79 archival boxes of which the first 25 are standard boxes while the rest are Nielsen's original boxes. Handed over: The collection was located in the basement of the mathematical library in the E block of the H. C. Ørsted Institute in the fall of 1996. It is not known when and how it was put here. Photocopies of material from the Staatsarchiv Hamburg was added to box 10 in July 1999.
Jakob Nielsen Papirer Box 61 koebe, paul 10 særtryk. Lefschetz, Salomon 25 særtryk og 2 sidersmaskinskrevet manuskript af Lefschetz med titlen Locally Connected Sets and http://www.math.ku.dk/arkivet/jnielsen/jnarkiv.htm
Extractions: KØBENHAVNS UNIVERSITET Arkivets hjemmeside Samlingsoversigt Jakob Nielsen papirer Kort beskrivelse: Denne samling af Jakob Nielsens papirer består for størstedelen af særtryk, som Nielsen har modtaget fra andre videnskabsfolk og sorteret efter forfatter. Udover særtrykkene er der i forbindelse med nogle af personerne breve, manuskripter, ansøgninger og andet. Alt materiale er fra ca. 1890-1959 og på en lang række sprog hvad angår særtrykkene. Det øvrige materiale er dog fortrinsvis på dansk eller tysk. Omfang: Samlingen omfatter 79 arkivkasser, hvoraf de første 25 er almindelige arkivkasser og resten er Nielsens originale kasser. Overdragelse: Samlingen befandt sig i Matematisk biblioteks kælder i E-bygningen på H. C. Ørsted Institutet i efteråret 1996. Det vides ikke, hvornår eller hvordan den er kommet der. I juli 1999 blev der tilføjet fotokopier af materiale fra Staatsarchiv Hamburg til box 10 Klausuler: Ingen.
