Beck, József Inevitable randomness in discrete mathematics. (English) Zbl 1186.60001 University Lecture Series 49. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4756-5/pbk). xi, 250 p. (2009). The aim of this book is to understand randomness and complexity. The author studies interesting concrete systems which can give new insights into the mystery of complexity.The book is divided into three parts. Part A is mostly an essay on the big picture. Part B partly contains new results and is partly a survey of game theory. Part C contains new results about graph games, supporting the main conjecture. To make it accessible to a wide audience, the book is mostly self-contained. Reviewer: Nicko G. Gamkrelidze (Moskva) Cited in 2 ReviewsCited in 6 Documents MSC: 60-02 Research exposition (monographs, survey articles) pertaining to probability theory 11K38 Irregularities of distribution, discrepancy Keywords:randomness; complexity; graph games PDFBibTeX XMLCite \textit{J. Beck}, Inevitable randomness in discrete mathematics. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1186.60001) Online Encyclopedia of Integer Sequences: Prime gaps: differences between consecutive primes.