Boolean algebra
(2012)

Nonfiction

eBook

Provider: hoopla

Details

PUBLISHED
[United States] : Dover Publications : Made available through hoopla, 2012
DESCRIPTION

1 online resource

ISBN/ISSN
9780486154978 (electronic bk.) MWT11605526, 0486154971 (electronic bk.) 11605526
LANGUAGE
English
NOTES

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

Mode of access: World Wide Web

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