Ramsey theory, an important area of contemporary combinatorics, is basically the study of structure preserved under partitions. The ideas of Ramsey theory are shared by logicians, set theorists and combinatorists, and have been successfully applied in other branches of mathematics. This homogeneous collection of research and survey articles reviews recent activity in this diverse subject, covering all the main approaches and suggesting various problems for individual research. Annotation copyright Book News, Inc. Portland, Or.