Basics of Ramsey Theory serves as a gentle introduction to Ramsey
theory for students interested in becoming familiar with a dynamic
segment of contemporary mathematics that combines ideas from number
theory and combinatorics. The core of the of the book consists of
discussions and proofs of the results now universally known as
Ramsey's theorem, van der Waerden's theorem, Schur's theorem,
Rado's theorem, the Hales-Jewett theorem, and the Happy End Problem
of Erdos and Szekeres. The aim is to present these in a manner that
will be challenging but enjoyable, and broadly accessible to anyone
with a genuine interest in mathematics. Features Suitable for any
undergraduate student who has successfully completed the standard
calculus sequence of courses and a standard first (or second) year
linear algebra course. Filled with visual proofs of fundamental
theorems. Contains numerous exercises (with their solutions)
accessible to undergraduate students. Serves as both a textbook or
as a supplementary text in an elective course in combinatorics and
aimed at a diverse group of students interested in mathematics.
General
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