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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2009.
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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.