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Lectures on Boolean Algebras
Paperback
Series: Dover Books on Mathematics
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ISBN10: 0486828042
ISBN13: 9780486828046
Publisher: Dover Pubn Inc
Published: Sep 12 2018
Pages: 160
Weight: 0.40
Height: 0.40 Width: 5.40 Depth: 8.40
Language: English
ISBN13: 9780486828046
Publisher: Dover Pubn Inc
Published: Sep 12 2018
Pages: 160
Weight: 0.40
Height: 0.40 Width: 5.40 Depth: 8.40
Language: English
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.
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