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Lectures on Boolean Algebras
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Product Details
Author:
Paul R. Halmos
Series:
Dover Books on Mathematics
Format:
Paperback
Pages:
160
Publisher:
Dover Publications (September 12, 2018)
Language:
English
ISBN-13:
9780486828046
ISBN-10:
0486828042
Weight:
7.04oz
Dimensions:
5.5" x 8.5"
Case Pack:
50
File:
Dover-Dover_05022026_P10034514_onix30_Complete-20260501.xml
Folder:
Dover
List Price:
$9.95
As low as:
$9.45
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
General/trade
Pub Discount:
65
Imprint:
Dover Publications
Overview
This presentation on the basics of Boolean algebra has ranked among the fundamental books on this important subject in mathematics and computing science since its initial publication in 1963. Concise and informal as well as systematic, the text draws upon lectures delivered by Professor Halmos at the University of Chicago to cover many topics in brief individual chapters. The approach is suitable for advanced undergraduates and graduate students in mathematics.
Starting with Boolean rings and algebras, the treatment examines fields of sets, regular open sets, elementary relations, infinite operations, subalgebras, homomorphisms, free algebras, ideals and filters, and the homomorphism theorem. Additional topics include measure algebras, Boolean spaces, the representation theorem, duality for ideals and for homomorphisms, Boolean measure spaces, isomorphisms of factors, projective and injective algebras, and many other subjects. Several chapters conclude with stimulating exercises; the solutions are not included.
Starting with Boolean rings and algebras, the treatment examines fields of sets, regular open sets, elementary relations, infinite operations, subalgebras, homomorphisms, free algebras, ideals and filters, and the homomorphism theorem. Additional topics include measure algebras, Boolean spaces, the representation theorem, duality for ideals and for homomorphisms, Boolean measure spaces, isomorphisms of factors, projective and injective algebras, and many other subjects. Several chapters conclude with stimulating exercises; the solutions are not included.
