Boolean Algebra
By:
- Synopsis
- 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.
- Copyright:
- 2007
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 160 Pages
- ISBN-13:
- 9780486154978
- Related ISBNs:
- 9780486458946
- Publisher:
- Dover Publications
- Date of Addition:
- 11/06/18
- Copyrighted By:
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This book is in the public domain and is freely available to all.