Boolean Reasoning - (Dover Books on Mathematics) 2nd Edition by Frank Markham Brown (Paperback)

About the Book

Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.

Book Synopsis

A systematic treatment of Boolean reasoning, this concise, newly revised edition combines the works of early logicians with recent investigations, including previously unpublished research results.
For the benefit of readers without formal training in mathematics, the text starts with an overview of elementary mathematical concepts and outlines the theory of Boolean algebras, based on Huntington's postulate. It defines operators for elimination, division, and expansion, providing a coherent and systematic basis for subsequent discussions of syllogistic reasoning, the solution of Boolean equations, and functional deduction.
Examples and end-of-chapter problems appear throughout the book, many taken from the design for switching systems. Two concluding chapters deal with applications; one applies Boolean reasoning to diagnostic problems, and the other discusses the design of multiple-output logic-circuits.

Review Quotes

"The author writes very well . . . provid[ing] a solid foundational (graduate-level) text for mathematicians, engineers, and logicians . . . the author does a good job of drawing examples from the field of logic designed to illustrate useful applications of theory."

About the Author

Frank Markham Brown is Professor Emeritus of the School of Engineering at the Air Force Institute of Technology.