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The New Mathematical Coloring Book

Alexander Soifer ()
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Alexander Soifer: University of Colorado at Colorado Springs, College of Letters, Arts, and Sciences

in Springer Books from Springer

Date: 2024
Edition: 2nd ed. 2024
ISBN: 978-1-0716-3597-1
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Chapters in this book:

Ch Chapter 1 A Story of Colored Polygons and Arithmetic Progressions
Alexander Soifer
Ch Chapter 10 Coloring in Space
Alexander Soifer
Ch Chapter 11 Rational Coloring
Alexander Soifer
Ch Chapter 12 Chromatic Number of a Graph
Alexander Soifer
Ch Chapter 13 Dimension of a Graph
Alexander Soifer
Ch Chapter 14 Embedding 4-Chromatic Graphs in the Plane
Alexander Soifer
Ch Chapter 15 Embedding World Series
Alexander Soifer
Ch Chapter 16 Exoo–Ismailescu: The Final Word on Problem 15.4
Alexander Soifer
Ch Chapter 17 Edge Chromatic Number of a Graph
Alexander Soifer
Ch Chapter 18 Carsten Thomassen’s 7-Color Theorem
Alexander Soifer
Ch Chapter 19 How the Four-Color Conjecture Was Born
Alexander Soifer
Ch Chapter 2 Chromatic Number of the Plane: The Problem
Alexander Soifer
Ch Chapter 20 A Victorian Comedy of Errors and Colorful Progress
Alexander Soifer
Ch Chapter 21 Kempe–Heawood’s Five-Color Theorem and Tait’s Equivalence
Alexander Soifer
Ch Chapter 22 The Four-Color Theorem
Alexander Soifer
Ch Chapter 23 The Great Debate
Alexander Soifer
Ch Chapter 24 How Does One Color Infinite Maps? A Bagatelle
Alexander Soifer
Ch Chapter 25 Chromatic Number of the Plane Meets Map Coloring: Townsend–Woodall’s 5-Color Theorem
Alexander Soifer
Ch Chapter 26 Paul Erdős
Alexander Soifer
Ch Chapter 27 De Bruijn–Erdős’ Theorem and Its History
Alexander Soifer
Ch Chapter 28 Nicolaas Govert de Bruijn
Alexander Soifer
Ch Chapter 29 Edge-Colored Graphs: Ramsey and Folkman Numbers
Alexander Soifer
Ch Chapter 3 Chromatic Number of the Plane: A Historical Essay
Alexander Soifer
Ch Chapter 30 From Pigeonhole Principle to Ramsey Principle
Alexander Soifer
Ch Chapter 31 The Happy End Problem
Alexander Soifer
Ch Chapter 32 The Man Behind the Theory: Frank Plumpton Ramsey
Alexander Soifer
Ch Chapter 33 Ramsey Theory Before Ramsey: Hilbert’s Theorem
Alexander Soifer
Ch Chapter 34 Ramsey Theory Before Ramsey: Schur’s Coloring Solution of a Colored Problem and Its Generalizations
Alexander Soifer
Ch Chapter 35 Ramsey Theory Before Ramsey: Van der Waerden Tells the Story of Creation
Alexander Soifer
Ch Chapter 36 A Japanese Insight into Baudet–Schur–Van der Waerden’s Theorem
Alexander Soifer
Ch Chapter 37 Whose Conjecture Did Van der Waerden Prove? Two Lives Between Two Wars: Issai Schur and Pierre Joseph Henry Baudet
Alexander Soifer
Ch Chapter 38 Monochromatic Arithmetic Progressions or Life After Van der Waerden’ Proof
Alexander Soifer
Ch Chapter 39 In Search of Van der Waerden: The Early Life
Alexander Soifer
Ch Chapter 4 Polychromatic Number of the Plane and Results Near the Lower Bound
Alexander Soifer
Ch Chapter 40 In Search of Van der Waerden: The Nazi Leipzig, 1933–1945
Alexander Soifer
Ch Chapter 41 In Search of Van der Waerden: Amsterdam, Year 1945
Alexander Soifer
Ch Chapter 42 In Search of Van der Waerden: The Unsettling Years, 1946–1951
Alexander Soifer
Ch Chapter 43 How the Monochromatic AP Theorem Became Classic: Khinchin and Lukomskaya
Alexander Soifer
Ch Chapter 44 Monochromatic Polygons in a 2-Colored Plane
Alexander Soifer
Ch Chapter 45 3-Colored Plane, 2-Colored Space, and Ramsey Sets
Alexander Soifer
Ch Chapter 46 The Gallai Theorem
Alexander Soifer
Ch Chapter 47 O’Donnell Earns His Doctorate
Alexander Soifer
Ch Chapter 48 Applications of the Baudet–Schur–Van der Waerden
Alexander Soifer
Ch Chapter 49 Applications of the Bergelson–Leibman and the Mordell–Faltings Theorems
Alexander Soifer
Ch Chapter 5 De Bruijn–Erdős Reduction to Finite Sets and Results Near the Lower Bound
Alexander Soifer
Ch Chapter 50 Solution of an Erdős Problem: The O’Donnell Theorem
Alexander Soifer
Ch Chapter 51 Aubrey D.N.J. de Grey’s Breakthrough
Alexander Soifer
Ch Chapter 52 De Grey’s Construction
Alexander Soifer
Ch Chapter 53 Marienus Johannes Hendrikus “Marijn” Heule
Alexander Soifer
Ch Chapter 54 Can We Reach Chromatic 5 Without Mosers Spindles?
Alexander Soifer
Ch Chapter 55 Triangle-Free 5-Chromatic Unit Distance Graphs
Alexander Soifer
Ch Chapter 56 Jaan Parts’ Current World Record
Alexander Soifer
Ch Chapter 57 A Stroke of Brilliance: Matthew Huddleston’s Proof
Alexander Soifer
Ch Chapter 58 Geoffrey Exoo and Dan Ismailescu, or 2 Men for 2 Forbidden Distances
Alexander Soifer
Ch Chapter 59 Jaan Parts on Two-Distance 6-Coloring
Alexander Soifer
Ch Chapter 6 Polychromatic Number of the Plane and Results Near the Upper Bound
Alexander Soifer
Ch Chapter 60 Forbidden Odds, Binaries, and Factorials
Alexander Soifer
Ch Chapter 61 7- and 8-Chromatic Two-Distance Graphs
Alexander Soifer
Ch Chapter 62 What If We Had No Choice?
Alexander Soifer
Ch Chapter 63 AfterMath and the Shelah–Soifer Class of Graphs
Alexander Soifer
Ch Chapter 64 A Glimpse into the Future: Chromatic Number of the Plane, Theorems, and Conjectures
Alexander Soifer
Ch Chapter 65 What Do the Founding Set Theorists Think About the Foundations?
Alexander Soifer
Ch Chapter 66 So, What Does It All Mean?
Alexander Soifer
Ch Chapter 67 Imagining the Real or Realizing the Imaginary: Platonism Versus Imaginism
Alexander Soifer
Ch Chapter 68 Two Celebrated Problems
Alexander Soifer
Ch Chapter 7 Continuum of 6-Colorings of the Plane
Alexander Soifer
Ch Chapter 8 Chromatic Number of the Plane in Special Circumstances
Alexander Soifer
Ch Chapter 9 Measurable Chromatic Number of the Plane
Alexander Soifer

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DOI: 10.1007/978-1-0716-3597-1

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