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Mathematical Logic : A course with exercises -- Part I -- Propositional Calculus, Boolean Algebras, Predicate Calculus, Completeness Theore
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Logic forms the basis of mathematics and is a fundamental part of any mathematics course. This book provides students with a clear and accessible introduction to this important subject, using the concept of model as the main focus and covering a wide area of logic. The chapters of the book cover propositional calculus, boolean algebras, predicate calculus and completelness theorems with answeres to all of the exercises and the end of the volume. This is an ideal introduction to mathematics and logic for the advanced undergraduate student.
- Sales Rank: #1257106 in Books
- Published on: 2000-11-09
- Original language: English
- Number of items: 1
- Dimensions: 7.30" h x .70" w x 9.60" l, 1.11 pounds
- Binding: Paperback
- 360 pages
Review
"This text is based on a course to undergraduates and gives a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence whilst still covering a wide area of logic. The first chapter considers propositional calculus; then Boolean algebras follow; Chapter 3 covers predicate calculus and this is followed by completeness theorems. Large numbers of examples appear throughout the text and each chapter concludes with a selection of exercises to reinforce the student's understanding. Answers to the exercises are given in an appendix."--L'Enseignement Mathématique
"I have always been especially fond of logic. The two-volume Mathematical Logic: A Course with Exercises is a comprehensive introductory course that is distinguished by clarity of exposition and a large number of exercises with thorough solutions. Each volume is about 330 pages long, 80 of which are solutions!"The Bulletin of Mathematics Books
About the Author
Rene Cori is at Universite Paris VII. Daniel Lascar is at Universite Paris VII. Donald Pelletier is at York University, Toronto and Universite Paris VII.
Most helpful customer reviews
28 of 30 people found the following review helpful.
OK but Hard
By A Customer
You'll find this very hard unless you are a competent math major at one of the better universities. Similar to Elliot Mendelson's text, but not quite as good. Good chapter on Boolean algebra as a
piece of pure math; Halmos and Givant is gentler, though.
Interesting topic covered: the resolution so dear to the AI crowd. Unlike most mathematicians, Cori and Lascar have time for
the way computer scientists think. At the same time, this book does not cover tableau methods (see Smullyan), natural deduction, Genzen's ideas, and so on. For pure logic at the advanced undergrad level, you're better off with Bostock.
Haven't seen Part II, so cannot comment on the treatment of set theory. This is something Mendelson and Machover already do well.
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