WorldCat Identities

Haken, Wolfgang

Overview
Works: 17 works in 31 publications in 3 languages and 416 library holdings
Roles: Author
Classifications: QA611, 513.83
Publication Timeline
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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 )

14 editions published between 1989 and 1992 in English and held by 354 WorldCat member libraries worldwide

Les Progrès des mathématiques by Kenneth I Appel( Book )

1 edition published in 1981 in French and held by 9 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
Handbuch der Flak-Entfernungsmesser : Verf. im Auftr. d. Kommandierenden Generals d. Luftstreitkräfte. Nur f. d. Dienstgebrauch by Wolfgang Haken( Book )

2 editions published in 1917 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

The existence of unavoidable sets of geographically good configurations by Kenneth I Appel( Book )

1 edition published in 1976 in English and held by 1 WorldCat member library worldwide

A set of configurations is unavoidable if every planar map contains at least one element of the set. A configuration L is called geographically good if whenever a member country M of L has any three neighbors N₁, N₂, N₃ which are not members of L then N₁, N₂, N₃ are consecutive (in some order) about M. The main result is a constructive proof that there exist finite unavoidable sets of geographically good configurations. This result is the first step in an investigation of an approach towards the Four Color Conjecture
Theorie der Normalflächen : ein Isotopiekriterium für den Kreisnoten by Wolfgang Haken( Book )

in German and held by 1 WorldCat member library worldwide

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
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
Studies in modern topology by Peter Hilton( Book )

1 edition published in 1968 in English and held by 1 WorldCat member library 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

Only Four Colours by John Fauvel( Visual )

1 edition published in 2002 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

Theorie der Normalflächen : ein Isotopiekriterium für den Kreisknoten by Wolfgang Haken( Book )

1 edition published in 1961 in German and held by 1 WorldCat member library worldwide

Every planar map is four colorable : part I : discharging by Kenneth Appel( Book )

in English and held by 1 WorldCat member library worldwide

Theorie der Normalflaechen : ein Isotopiekriterium für den Kreisknoten by Wolfgang Haken( Book )

1 edition published in 1958 in German and held by 1 WorldCat member library worldwide

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
 
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Audience level: 0.64 (from 0.13 for Only Four ... to 1.00 for The Four c ...)

Alternative Names
Haken, W.

Haken, W. (Wolfgang)

Wolfgang Haken Duits wiskundige

Wolfgang Haken German topologist

Wolfgang Haken matematico tedesco

Wolfgang Haken mathématicien américain

Wolfgang Haken tysk matematikar

Wolfgang Haken tysk matematiker

ヴォルフガング・ハーケン

沃夫冈·哈肯

Languages
English (22)

German (6)

French (1)