Introduction to Lattices and Order

by B.A. Davey, H.A. Priestley

Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. This book covers areas such as ordered sets and lattices. A key feature of ordered sets, one which is emphasized in the text, is that they can be represented pictorially. Lattices are also considered as algebraic structures and hence a purely algebraic study is used to reinforce the ideas of homomorphisms and of ideals encountered in group theory and ring theory. Exposure to elementary abstract algebra and the rotation of set theory are the only prerequisites for this text. For the new edition, much has been rewritten or expanded and new exercises have been added.

Genres: Mathematics, Textbooks, Logic, Computer Science, Nonfiction

312 pages, Paperback

First published January 1, 1990

Reviews

[Stephen Gwon · Rating 5 out of 5]

Unfortunately, Order Theory feels a little too trivial for most universities to devote an entire class to it (aside from the occasional graduate topics class). Fortunately, as a layman who is enthusiastic about abstract interpretation, this text gave an amazing introduction to complete lattices and Galois connections.

[Sudharsan Vinoth]

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