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Zbl 1002.06001
Davey, B.A.; Priestley, H.A.
Introduction to lattices and order. 2nd ed. (English)
[B] Cambridge: Cambridge University Press. xii, 298 p. \sterling 19.95; \$ 30.00 (2002). ISBN 0-521-78451-4/pbk

The second edition is substantially different from the original one published in 1990 (see Zbl 0701.06001). It is an excellent textbook on ordered sets and lattices and it is intended for undergraduate and beginning graduate students in mathematics. A basic theory of order and lattices accessible to the students is given. The textbook shows the importance of the concept of order in algebra, logic, computer science and other fields. Many examples that illustrate this can be found here. \par The textbook is divided into 11 chapters: Ordered sets, Lattices and complete lattices, Formal concept analysis, Modular, distributive and Boolean lattices, Representation: the finite case, Congruences, Complete lattices and Galois connections, CPOs and fixpoint theorems, Domains and informations systems, Maximality principles, Representation: the general case. Each chapter is followed by exercises (there are 273 exercises). The book ends with two appendices. Appendix A provides a very concise summary of the results from topology needed in the last chapter. Appendix B gives references and suggestions for further reading.
[Vaclav Slavic (Praha)]
MSC 2000:
*06-01 Textbooks (ordered structures)

Keywords: lattice; partial order; distributive lattices; complete lattices; Boolean lattice; Galois connection; formal concept analysis; fixpoint theorems; applications; computer science; filters; ideals; ordered sets; social science; algebraic lattices; subalgebraic structures; Boolean algebra; Lindenbaum algebra; congruences; CPO; domains; informations systems; representation

Citations: Zbl 0701.06001

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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