Recently the theory of partially ordered groups has been used by analysts, algebraists, topologists and model theorists. This book presents the most important results and topics in the theory with proofs that rely on (and interplay with) other areas of mathematics. It concludes with a list of some unsolved problems for the reader to tackle. In stressing both the special techniques of the discipline and the overlap with other areas of pure mathematics, the book should be of interest to a wide audience in diverse areas of mathematics.Contents: Definitions and ExamplesBasic PropertiesValues, Primes and PolarsAbelian and Normal-Valued Lattice-Ordered GroupsArchimedean Function GroupsSoluble Right Partially Ordered Groups and GeneralisationsPermutationsApplicationsCompletionsVarieties of Lattice-Ordered GroupsUnsolved ProblemsReadership: Pure mathematicians.Key Features:Presents a thorough account of the state-of-the-art of tunable external cavity diode lasersProvides an up-to-date survey on physics, technology, and performance of widely applicable coherent radiation sources of tunable external cavity diode lasersMay be used as a textbook for related undergraduate and graduate courses