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. May...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York,
2009.
|
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
