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....
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| Format: | Electronic |
| Language: | English |
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New York, NY :
Springer New York,
2009.
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| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-74642-5 |
Table of Contents:
- Epigraph: To Paint a Bird by Jacques Prv̌ert
- Foreword by Branko Gr<U+00fc>nbaum
- Foreword by Peter D. Johnson Jr
- Foreword by Cecil Rousseau
- Greetings to the Reader
- Merry-Go-Round
- A Story of Colored Polygons and Arithmetic Progressions
- Colored Plane: Chromatic Number of the Plane
- Chromatic Number of the Plane: The Problem
- Chromatic Number of the Plane: An Historical Essay
- Polychromatic Number of the Plane & Results near the Lower Bound
- De Bruijn-Erdos Reduction to Finite Sets & Results near the Lower Bound
- Polychromatic Number of the Plane & Results near the Upper Bound
- Continuum of 6-Colorings
- 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<U+0019>s 7-Color Theorem
- Coloring Maps
- How The Four Color Conjecture Was Born
- Victorian Comedy of Errors & Colorful Progress
- Kempe-Heawood<U+0019>s 5-Color Theorem & Tait<U+0019>s Equivalence
- The 4-Color Theorem
- The Great Debate
- How does one Color Infinite Maps? A Bagatelle
- Chromatic Number of the Plane Meets Map Coloring: Townsend-Woodall<U+0019>s 5-Color Theorem
- Colored Graphs
- Paul Erdos
- Proof of De Bruijn-Erdos<U+0019>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 & Its AfterMath
- Ramsey Theory before Ramsey: Hilbert<U+0019>s 1892 Theorem
- Theory before Ramsey: Schur<U+0019>s Coloring Solution of a Colored Problem & 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 Nazi Leipzig, 1933-1945
- In search of Van der Waerden: The Post War Amsterdam, 1945
- 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<U+0019>s Theorem
- Colored Integers in Service of Chromtic Number of the Plane: How O<U+0019>Donnell Unified Ramsey Theory and No One Noticed
- Application of Baudet-Schur-Van der Waerden<U+0019>s Theorem
- Applications of Bergelson-Leibman<U+0019>s and Mordell-Faltings<U+0019> Theorems
- Solution of an Erdos Problem: O<U+0019>Donnell<U+0019>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 Coloring Problems on the Plane
- Bibliography
- Index of Names
- Index of Terms
- Index of Notations
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