"Karpenkov . begins with a distinctive treatment of continued fraction foundations emphasizing lattice geometry. One-dimensional continued fractions connect to two-dimensional lattices--very apt for illustration. . Summing Up: Recommended. Upper-division undergraduates through researchers/faculty." (D. V. Feldman, Choice, Vol. 51 (10), June, 2014)

"The book is well written and is easy to read and navigate. . The book features a number of helpful illustrations and tables, a detailed index, and a large bibliography.This text is likely to become a valuable resource for researchers and students interested in discrete geometry and Diophantine approximations, as well as their rich interplay and many connections." (Lenny Fukshansky, zbMATH, Vol. 1297, 2014)