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Boolean Algebra
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Product Details
Author:
R. L. Goodstein
Format:
Paperback
Pages:
160
Publisher:
Dover Publications (January 15, 2007)
Language:
English
ISBN-13:
9780486458946
ISBN-10:
0486458946
Weight:
7.2oz
Dimensions:
5.5" x 8.5"
Case Pack:
50
Series:
Dover Books on Mathematics
File:
Dover-Dover_11022023_P6640086_onix21_Complete-20231102.xml
Folder:
Dover
As low as:
$11.35
List Price:
$11.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Pub Discount:
65
Overview
Famous for the number-theoretic first-order statement known as Goodstein's theorem, author R. L. Goodstein was also well known as a distinguished educator. With this text, he offers an elementary treatment that employs Boolean algebra as a simple medium for introducing important concepts of modern algebra.
The text begins with an informal introduction to the algebra of classes, exploring union, intersection, and complementation; the commutative, associative, and distributive laws; difference and symmetric difference; and Venn diagrams. Professor Goodstein proceeds to a detailed examination of three different axiomatizations, and an outline of a fourth system of axioms appears in the examples. The final chapter, on lattices, examines Boolean algebra in the setting of the theory of partial order. Numerous examples appear at the end of each chapter, with full solutions at the end.
The text begins with an informal introduction to the algebra of classes, exploring union, intersection, and complementation; the commutative, associative, and distributive laws; difference and symmetric difference; and Venn diagrams. Professor Goodstein proceeds to a detailed examination of three different axiomatizations, and an outline of a fourth system of axioms appears in the examples. The final chapter, on lattices, examines Boolean algebra in the setting of the theory of partial order. Numerous examples appear at the end of each chapter, with full solutions at the end.
