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.
| ISBN: | 9780486828046 |
| Publication date: | 26th October 2018 |
| Author: | Paul R Halmos |
| Publisher: | Dover Publications an imprint of Dover Publications Inc. |
| Format: | Paperback |
| Pagination: | 147 pages |
| Series: | Dover Books in Science and Mathematics |
| Genres: |
Algebra |
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.
Lectures on Boolean Algebras features in the following genres: Algebra
Lectures on Boolean Algebras is available in Paperback, Ebook
Lectures on Boolean Algebras was written by Paul R Halmos and published by Dover Publications an imprint of Dover Publications Inc.
Lectures on Boolean Algebras has 147 pages
Yes it is part of Dover Books in Science and Mathematics series
£7.64