For graduate students and researchers in mathematics, Corsini (mathematics and computer sciences, U. of Undine, Italy) and Leoreanu (mathematics, Ai.I Cuza U., Romania) survey how hyperstructure theory, and particularly the hypergroup theory, has been applied in various areas over the past 15 years or so. Among the areas they sample are selected topics in geometry; hypergraphs and graphs; binary relations; lattices; fuzzy sets and rough sets; automata; cryptography; codes; artificial intelligence; median, relation, and algebras; and probabilities. They do not provide an index. Annotation ©2003 Book News, Inc., Portland, OR