| Boolean Algebras Softcover Repri Edition Contributor(s): Sikorski, Roman (Author) |
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ISBN: 3642858228 ISBN-13: 9783642858222 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: April 2012 |
| Additional Information |
| BISAC Categories: - Gardening - Mathematics | Logic - Computers | Programming - General |
| Dewey: 005.131 |
| Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge |
| Physical Information: 0.53" H x 6.14" W x 9.21" (0.79 lbs) 240 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the develop- ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF 2J and HERMES 1]. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know- ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs. |