Title:
The Mathematical Coloring Book Mathematics of Coloring and the Colorful Life of its Creators / by Alexander Soifer.
Main Entry:
Soifer, Alexander.
SpringerLink (Online service)
Publisher:
Springer New York,
Publication Date:
2009.
Publication Place:
New York, NY :
ISBN:
9780387746425
Subject:
Mathematics.
Combinatorics.
Mathematics_$xHistory.
Logic, Symbolic and mathematical.
Mathematics.
Combinatorics.
History of Mathematics.
Mathematical Logic and Foundations.
Contents:
<P>Epigraph: To Paint a Bird by Jacques Prévert -- Foreword by Branko Grünbaum -- 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’s 7-Color Theorem -- Coloring Maps -- How The Four Color Conjecture Was Born -- Victorian Comedy of Errors & Colorful Progress -- Kempe-Heawood’s 5-Color Theorem & Tait’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’s 5-Color Theorem -- Colored Graphs -- Paul Erdos -- Proof of De Bruijn-Erdos’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’s 1892 Theorem -- Theory before Ramsey: Schur’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’s Theorem -- Colored Integers in Service of Chromtic Number of the Plane: How O’Donnell Unified Ramsey Theory and No One Noticed -- Application of Baudet-Schur-Van der Waerden’s Theorem -- Applications of Bergelson-Leibman’s and Mordell-Faltings’ Theorems -- Solution of an Erdos 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 Coloring Problems on the Plane -- Bibliography -- Index of Names -- Index of Terms -- Index of Notations.-</P> <P> </P> <P> </P> .
Related Records:
Springer eBooks
Printed edition: 9780387746401
Cover Image:
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