\input zb-basic \input zb-ioport \iteman{io-port 06006014} \itemau{Caspard, Nathalie; Leclerc, Bruno; Monjardet, Bernard} \itemti{Finite ordered sets. Concepts, results and uses.} \itemso{Encyclopedia of Mathematics and its Applications 144. Cambridge: Cambridge University Press (ISBN 978-1-107-01369-8/hbk). xi, 337~p. \sterling~55.00; \\$~90.00 (2012).} \itemab The book exclusively deals with finite ordered sets, which have significant applications in computer science, statistics, biology, and social sciences. The book is recommended for graduate students and researchers. Each chapter begins with fundamental definitions and theorems, many remarks, examples and results of key concepts such as Dilworth's theorem and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding, and dimension theory. In every chapter the authors present Further topics and references". Exercises are included at the end of each chapter with helpful hints. The last and largest chapter focuses on the notion of a preference, which concerns cognitive science, microeconomics, operations research, artificial intelligence, and databases. Moreover, the problem of the aggregation of several preference relations into a global preference relation is considered and a number of Arrowian theorems are established. The book is well organized and provides a very good survey over the theory and its applications. The authors also point to further topics of research. \itemrv{Renata Majovsk\'a (Horn\'{\i} Such\'a)} \itemcc{} \itemut{finite ordered sets; Dilworth's theorem; Sperner's theorem; semiorder; Galois connection; duality; distributive lattices; chain; order coding; Arrowian theorems; algorithmic complexity; preferences} \itemli{} \end