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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This book is an informal, although systematic presentation of lectures given by the authors on Boolean algebras, intended for advanced undergraduates and beginning graduate students. In a bold and refreshing style, this book treats Boolean algebras, develops some intriguing ideas, and provides rare insights. Exercises are generously sprinkled throughout the text for course study. This book can be considered a sequel to Paul Halmos's Lectures on Boolean Algebras, with the following changes: (1) the material in every section has been explained in more detail, and is now more accessible to undergraduates; (2) there are three times as many exercises, and the authors have now prepared a solutions manual; (3) a more careful explanation of the relationship between Boolean rings and Boolean algebras has been added; (4) thirteen chapters have been added, including chapters on topology and on continuous functions, a chapter on the extension theorem for homomorphisms, a new chapter on congruences and quotient algebras, a chapter on the lattice of ideals, and a chapter on duality theory for products.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Destinations, frais et délaisVendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Etat : New. In English. N° de réf. du vendeur ria9780387402932_new
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Etat : Sehr gut. Formateinband: 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.]. N° de réf. du vendeur 61828
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Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1033. N° de réf. du vendeur C9780387402932
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Etat : New. N° de réf. du vendeur I-9780387402932
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Etat : Gebraucht / Used. Hardcover. Very good.xiv,574pp. N° de réf. du vendeur 105072
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Vendeur : moluna, Greven, Allemagne
Gebunden. Etat : New. Provides a friendly introduction to Boolean algebrasIncludes hundres of exercises and a solutions manualContains background chapters on topology and continuous functionsAuthor has streamlined many of the proofsThis book is. N° de réf. du vendeur 458429605
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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Buch. Etat : Neu. Neuware - 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. N° de réf. du vendeur 9780387402932
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hardcover. Etat : Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_433665022
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