Boolean Algebra Goodstein R. L.Paperback
Famous for the number-theoretic first-order statement known as Goodstein's theorem, author R. L. 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 inf… Celý popis ↓
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Boolean Algebra Goodstein R. L.Paperback
Famous for the number-theoretic first-order statement known as Goodstein's theorem, author R. L. 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. Goodstein was also well known as a distinguished educator.
The final chapter, on lattices, examines Boolean algebra in the setting of the theory of partial order. Professor Goodstein proceeds to a detailed examination of three different axiomatizations, and an outline of a fourth system of axioms appears in the examples. Numerous examples appear at the end of each chapter, with full solutions at the
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