Description: Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course, . It is a major element in theoretical computer sciences and has undergone a huge revival with the growing importance of computer science. This text is based on a course for undergraduates and provides a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence while still covering a wide area of logic. It starts with recursion theory and follows Godel's incompleteness theorems and axiomatic set theory as well as an introduction to model theory. There are examples throughout each section and a varied selection of exercises at the end with answers given in the appendix.
Review Quotes: "An undergraduate course text for students who have acquired the practice and knowledge of classical mathematics as taught in high school and the first year of college, but no specialized knowledge. Introducing the logic underlying mathematics and theoretical computer science, Cori and Lascar (both U. Paris VII) use the concept of model as their underlying theme. Pelletier (York U. Toronto) has clarified some of the terminology in English for beginning students."--SciTech Book News
"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