Introduction to Lattices and Order [Paperback]

The second edition of a successful and unique textbook for students in mathematics or theoretical computer science.The importance of ordered structures is addressed here. Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. Exposure to elementary abstract algebra and the rotation of set theory are the only prerequisites for this text, intended primarily as a textbook. The level is suitable for advanced undergraduates and first year graduate students.For the new edition, much has been rewritten or expanded and new exercises have been added.The importance of ordered structures is addressed here. Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. Exposure to elementary abstract algebra and the rotation of set theory are the only prerequisites for this text, intended primarily as a textbook. The level is suitable for advanced undergraduates and first year graduate students.For the new edition, much has been rewritten or expanded and new exercises have been added.Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. This book covers areas such as ordered sets and lattices. A key feature of ordered sets, one which is emphasized in the text, is that they can be represented pictorially. Lattices are also considered as algebraic structures and hence a purely algebraic study is used to reinforce the ideas of homomorphisms and of ideals encountered in group theory and ring theory. Exposure to elementary abstract algebra and the rotation of set theory are the only prerequisites for this text. For the new edition, much has been rewritten or expanded and new exercises have been added.Preface; Preface to the first edition; 1. OrdlÓR