Steven Roman

Lattices and Ordered Sets

• Gebundenes Buch

Produktbeschreibung

This user-friendly book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. The presentation is lucid and the book contains a plethora of exercises, examples, and illustrations.

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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.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 12208609, 978-0-387-78900-2
• 2009
• Seitenzahl: 324
• Erscheinungstermin: 19. September 2008
• Englisch
• Abmessung: 241mm x 160mm x 23mm
• Gewicht: 650g
• ISBN-13: 9780387789002
• ISBN-10: 0387789006
• Artikelnr.: 23589867

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)