Lattices and Ordered Sets

Lattices and Ordered Sets

Author
Steven Roman
Publication Year
2008
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Mathematics and Statistics

This book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. The book has an excellent choice of topics, including a chapter on well ordering and ordinal numbers, which is not usually found in other texts. The approach is user-friendly and the presentation is lucid. There are more than 240 carefully chosen exercises.


Keywords: Mathematics and Statistics / Abstract algebra / Lattice / Algebra category theory