I used introduction to lattices and order as the sole textbook in a one semester course the students enrolled were a heterogeneous group including modestly prepared undergraduates well trained graduate students and a few applications oriented computer science students in short the textbook was a success. This new edition of introduction to lattices and order presents a radical reorganization and updating though its primary aim is unchanged the explosive development of theoretical computer science in recent years has in particular influenced the books evolution a fresh treatment of fixpoints testifies to this and galois connections now feature prominently. This new edition of introduction to lattices and order presents a radical reorganization and updating though its primary aim is unchanged. 1 ordered sets 2 special types of ordered set 3 lattices as algebraic structures 4 boolean algebras 5 the structure of finite distributive lattices and finite boolean algebras 6 ideals filters and congruences 7 the stone representation theorem for boolean algebras 8 lattices in algebra appendix outline of relevant basic topology
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