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The New Mathematical Coloring Book Mathematics of Coloring and the Colorful Life of Its Creators
Author
Title
The New Mathematical Coloring Book [electronic resource] : Mathematics of Coloring and the Colorful Life of Its Creators / by Alexander Soifer.
ISBN
9781071635971
Edition
2nd ed. 2024.
Publication
New York, NY : Springer US : Imprint: Springer, 2024.
Physical Description
1 online resource (XLVIII, 841 p.) 80 illus., 77 illus. in color.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
The New Mathematical Coloring Book (TNMCB) includes striking results of the past 15-year renaissance that produced new approaches, advances, and solutions to problems from the first edition. A large part of the new edition "Ask what your computer can do for you," presents the recent breakthrough by Aubrey de Grey and works by Marijn Heule, Jaan Parts, Geoffrey Exoo, and Dan Ismailescu. TNMCB introduces new open problems and conjectures that will pave the way to the future keeping the book in the center of the field. TNMCB presents mathematics of coloring as an evolution of ideas, with biographies of their creators and historical setting of the world around them, and the world around us. A new thing in the world at the time, TMCB I is now joined by a colossal sibling containing more than twice as much of what only Alexander Soifer can deliver: an interweaving of mathematics with history and biography, well-seasoned with controversy and opinion. -Peter D. Johnson, Jr. Auburn University Like TMCB I, TMCB II is a unique combination of Mathematics, History, and Biography written by a skilled journalist who has been intimately involved with the story for the last half-century. ...The nature of the subject makes much of the material accessible to students, but also of interest to working Mathematicians. ... In addition to learning some wonderful Mathematics, students will learn to appreciate the influences of Paul Erdős, Ron Graham, and others. -Geoffrey Exoo Indiana State University The beautiful and unique Mathematical coloring book of Alexander Soifer is another case of "good mathematics", containing a lot of similar examples (it is not by chance that Szemerédi's Theorem story is included as well) and presenting mathematics as both a science and an art... -Peter Mihók Mathematical Reviews, MathSciNet A postman came to the door with a copy of the masterpiece of the century. I thank you and the mathematics community should thank you for years to come. You have set a standard for writing about mathematics and mathematicians that will be hard to match. - Harold W. Kuhn Princeton University 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 you enjoy the book as much as I did! - Branko Grünbaum University of Washington I am in absolute awe of your 2008 book. -Aubrey D.N.J. de Grey LEV Foundation.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
April 10, 2024
Contents
Epigraph: To Paint a Bird
Foreword for the New Mathematical Coloring Book by Peter D. Johnson, Jr
Foreword for the New Mathematical Coloring Book by Geoffrey Exoo
Foreword for the New Mathematical Coloring Book by Branko Grunbaum. Foreword for The Mathematical Coloring Book by Peter D. Johnson, Jr., Foreword for The Mathematical Coloring Book by Cecil Rousseau
Acknowledgements
Greetings to the Reader 2023
Greetings to the Reader 2009
I. Merry-Go-Round.-1. A Story of Colored Polygons and Arithmetic Progressions
II. Colored Plane
2. Chromatic Number of the Plane: The Problem
3. Chromatic Number of the Plane: An Historical Essay
4. Polychromatic Number of the Plane and Results Near the Lower Bound
5. De Bruijn-Erdős Reduction to Finite Sets and Results Near the Lower Bound
6. Polychromatic Number of the Plane and Results Near the Upper Bound
7. Continuum of 6-Colorings of the Plane
8. Chromatic Number of the Plane in Special Circumstances
9. MeasurableChromatic Number of the Plane
10. Coloring in Space
11. Rational Coloring
III. Coloring Graphs
12. Chromatic Number of a Graph
13. Dimension of a Graph
14. Embedding 4-Chromatic Graphs in the Plane
15. Embedding World Series
16. Exoo-Ismailescu: The Final Word on Problem 15.4
17. Edge Chromatic Number of a Graph
18. The Carsten Thomassen 7-Color Theorem
IV.Coloring Maps
19. How the Four-Color Conjecture Was Born
20. Victorian Comedy of Errors and Colorful Progress
21. Kempe-Heawood's Five-Color Theorem and Tait's Equivalence
22. The Four-Color Theorem
23. The Great Debate
24. How Does One Color Infinite Maps? A Bagatelle
25. Chromatic Number of the Plane Meets Map Coloring: The Townsend-Woodall 5-Color Theorem
V. Colored Graphs
26. Paul Erdős
27. The De Bruijn-Erdős Theorem and Its History
28. Nicolaas Govert de Bruijn
29. Edge Colored Graphs: Ramsey and Folkman Numbers
VI. The Ramsey Principles
30. From Pigeonhole Principle to Ramsey Principle
31. The Happy End Problem
32. The Man behind the Theory: Frank Plumpton Ramsey
VII. Colored Integers: Ramsey Theory Before Ramsey and Its AfterMath
33. Ramsey Theory Before Ramsey: Hilbert's Theorem
34. Ramsey Theory Before Ramsey: Schur's Coloring Solution of a Colored Problem and Its Generalizations
35. Ramsey Theory Before Ramsey: Van der Waerden Tells the Story of Creation
36. Whose Conjecture Did Van der Waerden Prove? Two Lives Between Two Wars: Issai Schur and Pierre Joseph Henry Baudet
38. Monochromatic Arithmetic Progressions or Life After Van der Waerden
39. In Search of Van der Waerden: The Early Years
40. In Search of Van der Waerden: The Nazi Leipzig, 1933-1945
41. In Search of Van der Waerden: Amsterdam, Year 1945
42. In Search of Van der Waerden: The Unsettling Years, 1946-1951
43. How the Monochromatic AP Theorem Became Classic: Khinchin and Lukomskaya
VIII. Colored Polygons: Euclidean Ramsey Theory
44. Monochromatic Polygons in a 2-Colored Plane
45. 3-Colored Plane, 2-Colored Space, and Ramsey Sets
46. The Gallai Theorem
IX. Colored Integers in Service of the Chromatic Number of the Plane: How O'Donnell Unified Ramsey Theory and No One Noticed
47. O'Donnell Earns His Doctorate
48. Application of Baudet-Schur-Van der Waerden
48. Application of Bergelson-Leibman's and Mordell-Faltings' Theorems
50. Solution of an Erdős Problem: The O'Donnell Theorem
X. Ask What Your Computer Can Do for You
51. Aubrey D.N.J. de Grey's Breakthrough
52. De Grey's Construction
53. Marienus Johannes Hendrikus 'Marijn' Heule
54. Can We Reach Chromatic 5 Without Mosers Spindles?
55. Triangle-Free 5-Chromatic Unit Distance Graphs
56. Jaan Parts' Current World Record
XI. What About Chromatic 6?
57. A Stroke of Brilliance: Matthew Huddleston's Proof
58. Geoffrey Exoo and Dan Ismailescu or 2 Men from 2 Forbidden Distances
59. Jaan Parts on Two-Distance 6-Coloring
60. Forbidden Odds, Binaries, and Factorials
61. 7-and 8-Chromatic Two-Distance Graphs
XII. Predicting the Future
62. What If We Had No Choice?
63. AfterMath and the Shelah-Soifer Class of Graphs
64. A Glimpse into the Future: Chromatic Number of the Plane, Theorems and Conjectures
XIII. Imagining the Real, Realizing the Imaginary
65. What Do the Founding Set Theorists Think About the Foundations?
66. So, What Does It All Mean?
67. Imagining the Real or Realizing the Imaginary: Platonism versus Imaginism
XIV. Farewell to the Reader
68. Two Celebrated Problems
Bibliography
Name Index
Subject Index
Index of Notations.
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