WorldCat Identities

Haken, Wolfgang

Overview
Works: 11 works in 25 publications in 3 languages and 369 library holdings
Classifications: QA612.18, 511.5
Publication Timeline
Key
Publications about  Wolfgang Haken Publications about Wolfgang Haken
Publications by  Wolfgang Haken Publications by Wolfgang Haken
Most widely held works about Wolfgang Haken
 
Most widely held works by Wolfgang Haken
Every planar map is four colorable by Kenneth I Appel ( Book )
11 editions published between 1989 and 1992 in English and held by 348 WorldCat member libraries worldwide
Les Progrès des mathématiques by Kenneth I Appel ( Book )
1 edition published in 1981 in French and held by 8 WorldCat member libraries worldwide
Un ouvrage de haute vulgarisation, constitué d'une quinzaine d'articles de qualité, parus dans ##Scientific American## et dans ##Pour la science##. Trois grandes parties: Le kaléidoscope géométrique - Les mathématiques du hasard - Mathématiques et informatique. Les annexes comprennent: un index des matières, de brèves biographies des auteurs et des bibliographies sélectives correspondant à chacun des articles
Theorie der Normalflächen : ein Isotopiekriterium für den Kreisknoten by Wolfgang Haken ( Book )
3 editions published between 1958 and 1961 in German and held by 3 WorldCat member libraries worldwide
Ein topologischer Satz über die Einbettung <d-1>-dimensionaler Mannigfaltigkeiten in d-dimensionale Mannigfaltigkeiten by Wolfgang Haken ( Book )
3 editions published between 1953 and 1955 in German and held by 3 WorldCat member libraries worldwide
The solution of the four-color-map problem by Kenneth I Appel ( Book )
1 edition published in 1977 in English and held by 2 WorldCat member libraries worldwide
Nachtrag zu: Theorie der Normalflaechen : ein Isotopiekriterium für den Kreisknoten by Wolfgang Haken ( Book )
1 edition published in 1959 in German and held by 1 WorldCat member library worldwide
Über das Homöomorphieproblem der 3-Mannigfaltigkeiten by Wolfgang Haken ( Book )
1 edition published in 1962 in Undetermined and held by 1 WorldCat member library worldwide
Enumeration and classification of ribbon knots by Scott Allen Brown ( )
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
A ribbon knot is one which bounds a certain type of singular disk in the 3-sphere. In this work we investigate an enumeration procedure for such disks and study a natural topological grouping of related ribbons which differ by twists along imbedded bands. When the knots under consideration possess a hyperbolic structure, we use a limiting process to show that a given knot can only be obtained in finitely many ways by adding twists to a suitably chosen ribbon. The resulting families of ribbons yield, even for relatively simple cases, ribbon surfaces for many knots in the knot tables
Spectral geometry of hyperbolic 3-manifolds by Patrick James Callahan ( )
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
This thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Shalen, Meyerhoff, and others to obtain various estimates and inequalities involving geometric data of hyperbolic 3-manifolds. These give numerical relationships between quantities like volume, length of geodesics, area of embedded surfaces, isoperimetric constants, eigenvalues of the Laplacian, and Margulis numbers for hyperbolic 3-manifolds
The Four color theorem by Wolfgang Haken ( Visual )
1 edition published in 1976 in English and held by 0 WorldCat member libraries worldwide
A lecture on the history, development and survey of the proof of the four-color theorem
 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.77 (from 0.00 for The Four c ... to 1.00 for Enumeratio ...)
Alternative Names
Haken, W. (Wolfgang)
Languages
English (16)
German (7)
French (1)