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The Mathematical Coloring Book Mathematics of Coloring and the Colorful Life of its Creators /

I have never encountered a book of this kind. The best description of it I can give is that it is a mystery novel... I found it hard to stop reading before I finished (in two days) the whole text. Soifer engages the reader's attention not only mathematically, but emotionally and esthetically. M...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Soifer, Alexander (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Merry-Go-Round
  • A Story of Colored Polygons and Arithmetic Progressions
  • Colored Plane
  • Chromatic Number of the Plane: The Problem
  • Chromatic Number of the Plane: An Historical Essay
  • Polychromatic Number of the Plane and Results Near the Lower Bound
  • De Bruijn-Erd?s Reduction to Finite Sets and Results Near the Lower Bound
  • Polychromatic Number of the Plane and Results Near the Upper Bound
  • Continuum of 6-Colorings of the Plane
  • Chromatic Number of the Plane in Special Circumstances
  • Measurable Chromatic Number of the Plane
  • Coloring in Space
  • Rational Coloring
  • Coloring Graphs
  • Chromatic Number of a Graph
  • Dimension of a Graph
  • Embedding 4-Chromatic Graphs in the Plane
  • Embedding World Records
  • Edge Chromatic Number of a Graph
  • Carsten Thomassen's 7-Color Theorem
  • Coloring Maps
  • How the Four-Color Conjecture Was Born
  • Victorian Comedy of Errors and Colorful Progress
  • Kempe-Heawood's Five-Color Theorem and Tait's Equivalence
  • The Four-Color Theorem
  • The Great Debate
  • How Does One Color Infinite Maps? A Bagatelle
  • Chromatic Number of the Plane Meets Map Coloring: Townsend-Woodall's 5-Color Theorem
  • Colored Graphs
  • Paul Erd?s
  • De Bruijn-Erd?s's Theorem and Its History
  • Edge Colored Graphs: Ramsey and Folkman Numbers
  • The Ramsey Principle
  • From Pigeonhole Principle to Ramsey Principle
  • The Happy End Problem
  • The Man behind the Theory: Frank Plumpton Ramsey
  • Colored Integers: Ramsey Theory Before Ramsey and Its AfterMath
  • Ramsey Theory Before Ramsey: Hilbert's Theorem
  • Ramsey Theory Before Ramsey: Schur's Coloring Solution of a Colored Problem and Its Generalizations
  • Ramsey Theory before Ramsey: Van der Waerden Tells the Story of Creation
  • Whose Conjecture Did Van der Waerden Prove? Two Lives Between Two Wars: Issai Schur and Pierre Joseph Henry Baudet
  • Monochromatic Arithmetic Progressions: Life After Van der Waerden
  • In Search of Van der Waerden: The Early Years
  • In Search of Van der Waerden: The Nazi Leipzig, 1933-1945
  • In Search of Van der Waerden: The Postwar Amsterdam, 1945166
  • In Search of Van der Waerden: The Unsettling Years, 1946-1951
  • Colored Polygons: Euclidean Ramsey Theory
  • Monochromatic Polygons in a 2-Colored Plane
  • 3-Colored Plane, 2-Colored Space, and Ramsey Sets
  • Gallai's Theorem
  • Colored Integers in Service of Chromatic Number of the Plane: How O'Donnell Unified Ramsey Theory and No One Noticed
  • Application of Baudet-Schur-Van der Waerden
  • Application of Bergelson-Leibman's and Mordell-Faltings' Theorems
  • Solution of an Erd?s Problem: O'Donnell's Theorem
  • Predicting the Future
  • What If We Had No Choice?
  • A Glimpse into the Future: Chromatic Number of the Plane, Theorems and Conjectures
  • Imagining the Real, Realizing the Imaginary
  • Farewell to the Reader
  • Two Celebrated Problems.