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Boolean Algebra (Dover Books on Mathematics) by Goodstein, Reuben L is a nonfiction available to read on EtoBox.

What is Boolean Algebra (Dover Books on Mathematics) about?

Cover; Title Page; Copyright Page; Contents; Preface; Chapter I. The Informal Algebra of Classes; Union, intersection and complementation.; The commutative, associative and distributive laws.; Difference and symmetric difference.; Venn diagrams.; Examples I; Chapter II. The Self-Dual System of Axioms; Standard forms.; Completeness of the axiom systems.; Independence of the axioms.; An algebra of pairs.; Isomorphism and homomorphism.; Examples II; Chapter III. Boolean Equations; Equivalence of the two formalizations.; Independence of the axioms.; A bi-operational system of axioms. The general solutions of Boolean equations. Congruence relations.; Examples III; Chapter IV. Sentence Logic; Sentence logic as a model of Boolean algebra.; Truth-table completeness.; Independence of the axioms.; The third system of axioms.; The deduction theorem.; Examples IV; Chapter V. Lattices; Partially ordered sets.; Upper and lower bounds.; Distributive lattices.; Union and intersection ideals.; The lattice of union ideals.; Representation theorems for Boolean algebras.; Complemented distributive lattices.; Atoms, minimal and maximal elements.; Newman algebra. A denumerable Boolean algebra. Examples

Who reads Boolean Algebra (Dover Books on Mathematics)?

Author

Goodstein, Reuben L

Publisher

Dover Publications, Incorporated

Published

2012

Language

EN

ISBN

9780486458946

Category

nonfiction

Subjects

Mathematics, Science, Stem