Steven Roman

Lattices and Ordered Sets

• Broschiertes Buch

Produktbeschreibung

This book is intended to be a thorough introduction to the subject of order and lattices and can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites consist mostly of a bit of mathematical maturity, such as that provided by a basic undergraduate course in abstract algebra.

Produktdetails

• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4419-2704-0
• Seitenzahl: 305
• Erscheinungstermin: 29. Oktober 2010
• Englisch
• Abmessung: 233mm x 154mm x 19mm
• Gewicht: 484g
• ISBN-13: 9781441927040
• ISBN-10: 1441927042
• Artikelnr.: 32221817

Autorenporträt

Steven Roman, Ph.D., is a professor emeritus of mathematics at the California State University, Fullerton. His previous books with O'Reilly include Access Database Design and Programming, Writing Excel Macros, and Win32 API Programming with Visual Basic.

Inhaltsangabe

Preface.- Partially Ordered Sets.- Well-Ordered Sets.- Lattices.- Modular and Distributive Lattices.- Boolean Algebras.- The Representation of Distributive Lattices.- Algebraic Lattices.- Prime and Maximal Ideals: Separation Theorems.- Congruence Relations on Lattices.- Duality for Distributive Lattices: The Priestley Topology.- Free Lattices.- Fixed-Point Theorems.- Appendix A: A Bit of Topology.- Appendix B: A Bit of Category Theory.- References.- Index of Symbols.- Index.

Rezensionen

From the reviews:

"This text ... deals with basic material in the areas of ordered sets and lattices and is aimed at advanced undergraduate or (more likely) beginning graduate students. ... The choice and coverage of the material involved is excellent and the presentation is pleasantly lucid ... . Throughout the text the arguments are clear and sound, and at the end of each chapter there is a good selection of exercises to whet the reader's appetite. ... this is a worthy addition to the lattice theory literature." (T. S. Blyth, Mathematical Reviews, Issue 2009 f)