Ramsey Theory Yesterday, Today, and Tomorrow /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Soifer, Alexander (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
• Edition: 1.
• Series: Progress in Mathematics ; 285
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Convex geometry.; Discrete geometry.; Combinatorics.; Dynamical Systems and Ergodic Theory.; Convex and Discrete Geometry.

Ramsey theory is a relatively “new,” approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory. Ramsey th...

Table of Contents:

• How This Book Came into Being
• Table of Contents
• Ramsey Theory before Ramsey, Prehistory and Early History: An Essay in 13 Parts
• Eighty Years of Ramsey R(3, k). . . and Counting!
• Ramsey Numbers Involving Cycles
• On the function of Erdὅs and Rogers
• Large Monochromatic Components in Edge Colorings of Graphs
• Szlam’s Lemma: Mutant Offspring of a Euclidean Ramsey Problem: From 1973, with Numerous Applications
• Open Problems in Euclidean Ramsey Theory
• Chromatic Number of the Plane and Its Relatives, History, Problems and Results: An Essay in 11 Parts
• Euclidean Distance Graphs on the Rational Points
• Open Problems Session.