Boolean Algebra (Dover Books on Mathematics) (Paperback)

Boolean Algebra (Dover Books on Mathematics) By R. L. Goodstein Cover Image

Boolean Algebra (Dover Books on Mathematics) (Paperback)

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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.
Product Details ISBN: 9780486458946
ISBN-10: 0486458946
Publisher: Dover Publications
Publication Date: January 15th, 2007
Pages: 160
Language: English
Series: Dover Books on Mathematics