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Introduction to Ramsey Theory:
Students' Projects
Veselin Jungic
Contents
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Contents
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Front Matter
Colophon
Dedication
Acknowledgements
Preface
1
Life of Ramsey - 26 Year Long Story
2
Ramsey and Friends: A Story of Ramsey Theory
3
Order to Chaos: The Evolution of Ramsey Theory
Script
References
4
Ramsey Theory – An Introduction
5
Three Ramsey Theorists
Transcript
Maria Axenovich
Steve Butler
Julian Sahasrabudhe
6
The Ramsey Theory Podcast
7
Tom Brown's Wikipage
Interview with Professor Tom Brown
8
Aaron Robertson's Wikipedia Page
9
Life as Ramsey Theory Students
10
Model of \(R(3,3)\)
11
“Deadly-Trio” - A Ramsey's Game
12
Complete a Complete Graph: A Game
13
Applet: Games we always win
14
\(R(3,3,3) = 17\text{:}\) Before Your Eyes
15
A proof without words that \(R(a,b,c)\) exists
16
Happy Ending Problem Applet
17
How Big are Ramsey Numbers?
18
Mission Impossible
19
Quad-Tac-Toe Game
20
Schur's Theorem: A Game
21
Ramsey's Nocturne
22
Music on the Theme of van der Waerden's Theorem
23
Animation of the Proof of van der Waerden's Theorem
24
A Graphic Novel About the creation of the proof of van der Waerden's Theorem
25
Ramsey's Main Coure – A Comic
26
The Rise and Fall of Chaos – Comic
27
Canonical Form of van der Waerden's Theorem
28
Graham's Number
29
Moser's Spindle
30
“The Moser Spindle” – A Graphic Novel
31
The Hidden Order: A Painting
32
Happy Ending Problem: A Play
33
Roth's Theorem in Ten Minutes
34
Enhancement of the Course Notes
Exercises
Fractional Chromatic Number
Density of planar sets avoiding unit distance
35
Ramsey Theory: “Complete Chaos Is Impossible” Course Essay
Authored in PreTeXt
Introduction to Ramsey Theory:
Students' Projects
Veselin Jungic
Department of Mathematics
Simon Fraser University
Colophon
Dedication
Acknowledgements
Preface