Introduction to Boolean Algebras.
Givant, Steven R. / Halmos, Paul R. -
Sold by Antiquariat Smock, Freiburg, Germany
AbeBooks Seller since November 15, 2010
Used - Hardcover
Condition: Sehr gut
Quantity: 1 available
Add to basketSold by Antiquariat Smock, Freiburg, Germany
AbeBooks Seller since November 15, 2010
Condition: Sehr gut
Quantity: 1 available
Add to basketFormateinband: Pappband / gebundene Ausgabe XIV, 574 S. (24,5 cm) Gebundene Ausgabe; 1st Edition; Sehr guter Zustand. Sprache: Englisch Gewicht in Gramm: 1200 [Stichwörter: Boolesche Algebra, Boolean Rings, Topology, Boolean measure spaces u.v.m.].
Seller Inventory # 61828
This book is an informal yet systematic presentation of lectures given by the author on Boolean algebras. The author’s style is characteristically bold and fresh. He treats Boolean algebras, develops some intriguing ideas, and provides rare insights. Exercises are generously sprinkled through the text for course study. The second edition has been greatly expanded and rewritten, specific changes include:
* More detail explanations of the material in every section, making the text more accessible to undergraduates
* Three times as many exercises as well as a solutions manual
* A more careful explanation of the relationship between Boolean rings and Boolean algebras has been added;
* thirteen new chapters, including ones on topology and continuous functions and others on the extension theorem for homomorphisms, congruences and quotient algebras, lattice of ideals, and duality theory for products.
In a bold and refreshingly informal style, this exciting text steers a middle course between elementary texts emphasizing connections with philosophy, logic, and electronic circuit design, and profound treatises aimed at advanced graduate students and professional mathematicians. It is written for readers who have studied at least two years of college-level mathematics. With carefully crafted prose, lucid explanations, and illuminating insights, it guides students to some of the deeper results of Boolean algebra --- and in particular to the important interconnections with topology --- without assuming a background in algebra, topology, and set theory. The parts of those subjects that are needed to understand the material are developed within the text itself.
Highlights of the book include the normal form theorem; the homomorphism extension theorem; the isomorphism theorem for countable atomless Boolean algebras; the maximal ideal theorem; the celebrated Stone representation theorem; the existence and uniqueness theorems for canonical extensions and completions; Tarski’s isomorphism of factors theorem for countably complete Boolean algebras, and Hanf’s related counterexamples; and an extensive treatment of the algebraic-topological duality, including the duality between ideals and open sets, homomorphisms and continuous functions, subalgebras and quotient spaces, and direct products and Stone-Cech compactifications.
A special feature of the book is the large number of exercises of varying levels of difficulty, from routine problems that help readers understand the basic definitions and theorems, to intermediate problems that extend or enrich material developed in the text, to harder problems that explore important ideas either not treated in the text, or that go substantially beyond its treatment. Hints for the solutions to the harder problems are given in an appendix. A detailed solutions manual for all exercises isavailable for instructors who adopt the text for a course.
"About this title" may belong to another edition of this title.
Das Angebot ist freibleibend. Bestellungen werden in der Reihenfolge ihres Einganges bearbeitet und unverzüglich über die Deutsche Post oder DHL versendet.
Der Versand erfolgt auf Rechnung, in bestimmten Fällen kann Vorkasse erbeten werden. Wahlweise ist auch die Zahlung über Paypal möglich.
Die Zustände der Bücher sind im Detail und nach bestem Gewissen beschrieben und im Preis berücksichtigt. Wenn nicht anders angegeben, handelt es sich um die Originaleinbände der Bücher, private Bindungen wer...
More InformationDie Ware wird umgehend nach Bestelleingang per Deutscher Post oder DHL verschickt, stoßsicher verpackt in Packpapier und einer Versandtasche aus Pappe.