Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486834573
Category : Mathematics
Languages : en
Pages : 160
Book Description
Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Lectures on Boolean Algebras
Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486834573
Category : Mathematics
Languages : en
Pages : 160
Book Description
Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Publisher: Courier Dover Publications
ISBN: 0486834573
Category : Mathematics
Languages : en
Pages : 160
Book Description
Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Lectures on Boolean Algebras
Author: Steven Givant
Publisher: Springer
ISBN: 9780387900940
Category : Mathematics
Languages : en
Pages : 148
Book Description
IN 1959 I lectured on Boolean algebras at the University of Chicago. A mimeographed version of the notes on which the lectures were based circulated for about two years; this volume contains those notes, corrected and revised. Most of the corrections were suggested by Peter Crawley. To judge by his detailed and precise suggestions, he must have read every word, checked every reference, and weighed every argument, and I am lIery grateful to hirn for his help. This is not to say that he is to be held responsible for the imperfec tions that remain, and, in particular, I alone am responsible for all expressions of personal opinion and irreverent view point. P. R. H. Ann Arbor, Michigan ] anuary, 1963 Contents Section Page 1 1 Boolean rings ............................ . 2 Boolean algebras ......................... . 3 9 3 Fields of sets ............................ . 4 Regular open sets . . . . . . . . . . . . . . . . . . . 12 . . . . . . 5 Elementary relations. . . . . . . . . . . . . . . . . . 17 . . . . . 6 Order. . . . . . . . . . . . . . . . . . . . . . . . . . . 21 . . . . . . . . . 7 Infinite operations. . .. . . . . . . . . . . . . . . . . 25 . . . . . 8 Subalgebras . . . . . . . . . . . . . . . . . . . . .. . . . 31 . . . . . . 9 Homomorphisms . . . . . . . . . . . . . . . . . . . . 35 . . . . . . . 10 Free algebras . . . . . . . . . . . . . . . . . . . . . . 40 . . . . . . . 11 Ideals and filters. . . . . . . . . . . . . . . . . . . . 47 . . . . . . 12 The homomorphism theorem. . . . . . . . . . . . .. . . 52 . . 13 Boolean a-algebras . . . . . . . . . . . . . . . . . . 55 . . . . . . 14 The countable chain condition . . . . . . . . . . . . 61 . . . 15 Measure algebras . . . . . . . . . . . . . . . . . . . 64 . . . . . . . 16 Atoms.. . . . .. . . . . .. .. . . . ... . . . . .. . . ... . . .. 69 17 Boolean spaces . . . . . . . . . . . . . . . . . . . . 72 . . . . . . . 18 The representation theorem. . . . . . . . . . . . . . 77 . . . 19 Duali ty for ideals . . . . . . . . . . . . . . . . . .. . . 81 . . . . . 20 Duality for homomorphisms . . . . . . . . . . . . . . 84 . . . . 21 Completion . . . . . . . . . . . . . . . . . . . . . . . 90 . . . . . . . . 22 Boolean a-spaces . . . . . . . . . . . . . . . . . .. . . 97 . . . . . 23 The representation of a-algebras . . . . . . . . .. . . 100 . 24 Boolean measure spaces . . . . . . . . . . . . . .. . . 104 . . . 25 Incomplete algebras . . . . . . . . . . . . . . . .. . . 109 . . . . . 26 Products of algebras . . . . . . . . . . . . . . . .. . . 115 . . . . 27 Sums of algebras . . . . . . . . . . . . . . . . . .. . . 119 . . . . . 28 Isomorphisms of factors . . . . . . . . . . . . . .. . . 122 . . .
Publisher: Springer
ISBN: 9780387900940
Category : Mathematics
Languages : en
Pages : 148
Book Description
IN 1959 I lectured on Boolean algebras at the University of Chicago. A mimeographed version of the notes on which the lectures were based circulated for about two years; this volume contains those notes, corrected and revised. Most of the corrections were suggested by Peter Crawley. To judge by his detailed and precise suggestions, he must have read every word, checked every reference, and weighed every argument, and I am lIery grateful to hirn for his help. This is not to say that he is to be held responsible for the imperfec tions that remain, and, in particular, I alone am responsible for all expressions of personal opinion and irreverent view point. P. R. H. Ann Arbor, Michigan ] anuary, 1963 Contents Section Page 1 1 Boolean rings ............................ . 2 Boolean algebras ......................... . 3 9 3 Fields of sets ............................ . 4 Regular open sets . . . . . . . . . . . . . . . . . . . 12 . . . . . . 5 Elementary relations. . . . . . . . . . . . . . . . . . 17 . . . . . 6 Order. . . . . . . . . . . . . . . . . . . . . . . . . . . 21 . . . . . . . . . 7 Infinite operations. . .. . . . . . . . . . . . . . . . . 25 . . . . . 8 Subalgebras . . . . . . . . . . . . . . . . . . . . .. . . . 31 . . . . . . 9 Homomorphisms . . . . . . . . . . . . . . . . . . . . 35 . . . . . . . 10 Free algebras . . . . . . . . . . . . . . . . . . . . . . 40 . . . . . . . 11 Ideals and filters. . . . . . . . . . . . . . . . . . . . 47 . . . . . . 12 The homomorphism theorem. . . . . . . . . . . . .. . . 52 . . 13 Boolean a-algebras . . . . . . . . . . . . . . . . . . 55 . . . . . . 14 The countable chain condition . . . . . . . . . . . . 61 . . . 15 Measure algebras . . . . . . . . . . . . . . . . . . . 64 . . . . . . . 16 Atoms.. . . . .. . . . . .. .. . . . ... . . . . .. . . ... . . .. 69 17 Boolean spaces . . . . . . . . . . . . . . . . . . . . 72 . . . . . . . 18 The representation theorem. . . . . . . . . . . . . . 77 . . . 19 Duali ty for ideals . . . . . . . . . . . . . . . . . .. . . 81 . . . . . 20 Duality for homomorphisms . . . . . . . . . . . . . . 84 . . . . 21 Completion . . . . . . . . . . . . . . . . . . . . . . . 90 . . . . . . . . 22 Boolean a-spaces . . . . . . . . . . . . . . . . . .. . . 97 . . . . . 23 The representation of a-algebras . . . . . . . . .. . . 100 . 24 Boolean measure spaces . . . . . . . . . . . . . .. . . 104 . . . 25 Incomplete algebras . . . . . . . . . . . . . . . .. . . 109 . . . . . 26 Products of algebras . . . . . . . . . . . . . . . .. . . 115 . . . . 27 Sums of algebras . . . . . . . . . . . . . . . . . .. . . 119 . . . . . 28 Isomorphisms of factors . . . . . . . . . . . . . .. . . 122 . . .
Lectures on Boolean Algebras
Author: Paul Richard Halmos
Publisher:
ISBN: 9783540900948
Category : Algebra, Boolean
Languages : en
Pages : 147
Book Description
Publisher:
ISBN: 9783540900948
Category : Algebra, Boolean
Languages : en
Pages : 147
Book Description
Introduction to Boolean Algebras
Author: Steven Givant
Publisher: Springer Science & Business Media
ISBN: 0387402934
Category : Mathematics
Languages : en
Pages : 589
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0387402934
Category : Mathematics
Languages : en
Pages : 589
Book Description
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.
Boolean Algebras
Author: Paul Richard Halmos
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 382
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 382
Book Description
Lectures on Boolean Algebras
Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486828042
Category : Mathematics
Languages : en
Pages : 163
Book Description
Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Publisher: Courier Dover Publications
ISBN: 0486828042
Category : Mathematics
Languages : en
Pages : 163
Book Description
Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Logic and Boolean Algebra
Author: Bradford Henry Arnold
Publisher: Courier Corporation
ISBN: 0486483851
Category : Mathematics
Languages : en
Pages : 163
Book Description
Orignally published: Englewood Cliffs, N.J.: Prentice-Hall, 1962.
Publisher: Courier Corporation
ISBN: 0486483851
Category : Mathematics
Languages : en
Pages : 163
Book Description
Orignally published: Englewood Cliffs, N.J.: Prentice-Hall, 1962.
Lectures on Boolean algebras
Author: Paul Richard Halmos
Publisher:
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 147
Book Description
Publisher:
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 147
Book Description
Boolean Reasoning
Author: Frank Markham Brown
Publisher: Courier Corporation
ISBN: 0486164594
Category : Mathematics
Languages : en
Pages : 308
Book Description
Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.
Publisher: Courier Corporation
ISBN: 0486164594
Category : Mathematics
Languages : en
Pages : 308
Book Description
Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.
Handbook of Boolean Algebras
Author: Sabine Koppelberg
Publisher:
ISBN: 9780444872913
Category : Algebra, Boolean
Languages : en
Pages : 312
Book Description
Publisher:
ISBN: 9780444872913
Category : Algebra, Boolean
Languages : en
Pages : 312
Book Description