Garibaldi, Julia; Iosevich, Alex; Senger, Steven The Erdős distance problem. (English) Zbl 1234.00002 Student Mathematical Library 56. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5281-1/pbk). xii, 150 p. (2011). The readers of this excellent book are familiarized with some of the results in the study of Erdős distance problem. The book is problem oriented as most of the learning is meant to be done by working through the exercises. Solutions to these exercises are provided, but in several places, steps are intentionally left out of proofs, and the reader is then asked to fill them in. There are 12 chapters, with 3 appendix, bibliography, biographical informations and index. Reviewer: Cristinel Mortici (Targoviste) Cited in 2 ReviewsCited in 19 Documents MSC: 00A05 Mathematics in general 00A35 Methodology of mathematics 97F60 Number theory (educational aspects) 11A99 Elementary number theory 51M99 Real and complex geometry 05A99 Enumerative combinatorics Keywords:Erdős distance; graph theory; Cauchy-Schwarz inequality; dot products; vector spaces; information theory PDFBibTeX XMLCite \textit{J. Garibaldi} et al., The Erdős distance problem. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1234.00002)