Mathematical Logic: A Course with Exercises Part 2
Recursion Theory, Godel's Theorems, Set Theory, Model Theory
- Publisher
- Oxford University Press
- Initial publish date
- Apr 2001
- Category
- Logic
-
Hardback
- ISBN
- 9780198500513
- Publish Date
- Apr 2001
- List Price
- $300.00
-
Paperback / softback
- ISBN
- 9780198500506
- Publish Date
- Apr 2001
- List Price
- $165.00
Classroom Resources
Where to buy it
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 science and has undergone a huge revival with the every- growing importance of computer science. This text is based on a course to 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 whilst still covering a wide area of logic. The foundations having been laid in Part I, this book starts with recursion theory, a topic essential for the complete scientist. Then follows Godel's incompleteness theorems and axiomatic set theory. Chapter 8 provides an introduction to model theory. There are examples throughout each section, and varied selection of exercises at the end. Answers to the exercises are given in the appendix.
About the authors
Contributor Notes
René Cori is at Université Paris VII. Daniel Lascar is at Université Paris VII. Donald Pelletier is at York University, Toronto and Université Paris VII.