Ramsey Theory for Discrete Structures

From the book reviews:

“The results and proofs covered in the book are clearly explained and the material covered is extensive. I therefore think this book provides a strong introductory reference for students. … Further, the monograph will be a great addition to the bookshelves of researchers in the field of Ramsey theory and related areas, as a reference on both classical results and some of the more recent breakthroughs in the subject.” (Andrew Clark Treglown, Mathematical Reviews, October, 2014)

“Prömel (Technical Univ. Darmstadt, Germany) includes three gems of this episodic subject, each sufficient to sell the book: a self-contained treatment of the Paris-Harrington theorem showing that a certain Ramsey-type theorem witnesses the incompleteness of Peano arithmetic; a detailed treatment of the Graham-Rothschild theorem long ago made famous for its fast-growing functions by M. Gardner’s Scientific American column; and a very short proof (now) of Szemerédi’s theorem …. Summing Up: Highly recommended. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 51 (11), August, 2014)