Introduction to Lattices and Order

Davey, B. A.; Priestley, H. A.

ISBN 10: 0521367662 / ISBN 13: 9780521367660

Verlag: Cambridge University Press, 1990

Very Good condition. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp. Bestandsnummer des Verkäufers L17B-03443

Inhaltsangabe:

This is the first introductory textbook on ordered sets and lattices, and covers both the basic theory and its applications. The importance of ordered structures has been increasingly recognised in recent years due to an explosion of interest in computer science and all areas of discrete mathematics. The authors provide a thorough introduction to ordered sets, lattices, distributive lattices and Boolean algebras. Ordered sets, and in particular lattices, can be represented pictorially, and this key feature is emphasised throughout. Lattices are also considered as algebraic structures and their study from this viewpoint reinforces ideas encountered in the theory of groups and rings. The representation of distributive lattices by ordered topological spaces is presented; a self-contained treatment of the requisite topology is included. Two chapters are devoted to topics with application to computer science. These cover complete partial orders, domains (including their relation to information systems), and fixpoint theory. Another chapter deals with formal concept analysis - a new and important application of lattice theory of interest to mathematicians and social scientists. Prerequisites are minimal; all that is assumed is exposure to the notation of set theory and elementary abstract algebra. The numerous classroom-tested exercises will make the book especially useful for course accompaniment, but it will also be valuable as a background reference for mathematicians, logicians and computer scientists.

Críticas: "Recommended for every academic mathematics collection." Choice ."..it will surely become a classic." Mathematical Reviews ."..remains a first choice for a textbook on lattices and ordered sets." Joel Berman, Australian Mathematical Society Gazette

Bibliografische Details

Titel: Introduction to Lattices and Order
Verlag: Cambridge University Press
Erscheinungsdatum: 1990
Einband: Softcover
Zustand: Very Good