Lattices And Ordered Sets Hardcover - 2009
by Roman S
- New
Description
Standard delivery: 20 to 30 days
Details
- Title Lattices And Ordered Sets
- Author Roman S
- Binding Hardcover
- Edition U. S. EDITION
- Condition New
- Pages 305
- Volumes 1
- Language ENG
- Publisher Springer, New York, NY
- Date 2009
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- Bookseller's Inventory # CBS-9780387789002
- ISBN 9780387789002 / 0387789006
- Weight 1.25 lbs (0.57 kg)
- Dimensions 9.3 x 6.1 x 0.8 in (23.62 x 15.49 x 2.03 cm)
- Library of Congress subjects Lattice theory, Ordered sets
- Library of Congress Catalog Number 2008928921
- Dewey Decimal Code 511.32
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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).
