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.
This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Paperback or Softback. Etat : New. Introduction to Boolean Algebras. Book. N° de réf. du vendeur BBS-9781441923240
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Etat : New. N° de réf. du vendeur ABLIING23Mar2411530294066
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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 is available for instructors who adopt the text for a course. 588 pp. Englisch. N° de réf. du vendeur 9781441923240
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Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Etat : New. In English. N° de réf. du vendeur ria9781441923240_new
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Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
Etat : New. N° de réf. du vendeur 12688145-n
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Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 12688145
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Vendeur : Books Puddle, New York, NY, Etats-Unis
Etat : New. pp. 590. N° de réf. du vendeur 263072071
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Vendeur : Libreria sottomarina - Studio Bibliografico, ROMA, RM, Italie
brossura. Etat : Perfetto (Mint). Book. N° de réf. du vendeur ni04ghTEK
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