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"This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic, a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. "

"Probabilists and fuzzy enthusiasts tend to disagree about which philosophy is best and they rarely work together. As a result, textbooks usually suggest only one of these methods for problem solving, but not both. This book is an exception. The authors, investigators from both fields, have combined their talents to provide a practical guide showing that both fuzzy logic and probability have their place in the world of problem solving. They work together with mutual benefit for both disciplines, providing scientists and engineers with examples of and insight into the best tool for solving problems involving uncertainty.Fuzzy Logic and Probability Applications: Bridging the Gap makes an honest effort to show both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two. It provides clear descriptions of both fuzzy logic and probability, as well as the theoretical background, examples, and applications from both fields, making it a useful hands-on workbook for members of both camps. It contains enough theory and references to fundamental work to provide firm ground for both engineers and scientists at the undergraduate level and above. Readers should have a familiarity with mathematics through calculus."

"A traditional Introduction to Digital Logic course can cover all of Chaps. 1, 2, 3,and 4, selections from Chap. 5, and then all of Chaps. 6, 7, 8, 11, 12, 13, 14, and 17,and maybe selections from Chap. 19. I happen to think Chaps. 15 and 18 are of vitalimportance, and the case study presented in Chap. 20 really ties the whole booktogether, but they are not included in every intro course. What this book adds thatothers in the field leave out, through Chaps. 9, 10, and 16, is more depth forapplications in the computing domain. They can be incorporated in an intro coursegeared towards computer engineers or computer scientists, and I have used thismaterial myself, but they can also benefit these students simply by being in the textas breadth and a good reference for later use even if not directly included in thecourse."