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Lattices and Ordered Sets Paperback / softback - 2010
by Steven Roman
- New
- Paperback
Description
Standard delivery: 14 to 21 days
Details
- Title Lattices and Ordered Sets
- Author Steven Roman
- Binding Paperback / softback
- Edition Softcover reprin
- Condition New
- Pages 305
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2010-10-29
- Illustrated Yes
- Features Illustrated, Maps
- Bookseller's Inventory # B9781441927040
- ISBN 9781441927040 / 1441927042
- Weight 1 lbs (0.45 kg)
- Dimensions 9.21 x 6.14 x 0.68 in (23.39 x 15.60 x 1.73 cm)
- Dewey Decimal Code 511.33
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From the rear cover
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.
Topic coverage includes: modular, semimodular and distributive lattices, boolean algebras, representation of distributive lattices, algebraic lattices, congruence relations on lattices, free lattices, fixed-point theorems, duality theory and more.
Steven Roman is the author of many successful textbooks, including Advanced Linear Algebra, 3rd Edition (Springer 2007), Field Theory, 2nd Edition (Springer 2005), and Introduction to the Mathematics of Finance (2004).