Table of Contents

Types of lattices; Postulates for lattices; Structure and representation theory; Geometric lattices; Complete lattices; Universal algebra; Applications to algebra; Transfinite induction; Applications to general topology; Metric and topological lattices; Borel algebras and von Neumann lattices; Applications to logic and probability; Lattice-ordered groups; Lattice-ordered monoids; Vector lattices; Positive linear operators; Lattice-ordered rings.