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Mathematical Logic: A Course with ExercisesPart II: Recursion Theory, Gödel's Theorems, Set Theory, Model Theory - Hardcover

 
9780198500513: Mathematical Logic: A Course with ExercisesPart II: Recursion Theory, Gödel's Theorems, Set Theory, Model Theory

Synopsis

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.

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About the Author

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.

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  • PublisherOxford University Press
  • Publication date2001
  • ISBN 10 0198500513
  • ISBN 13 9780198500513
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages352

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9780198500506: Recursion Theory, Godel's Theorems, Set Theory, Model Theory (Mathematical Logic: A Course With Exercises, Part II)

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Hardcover. Condition: new. Hardcover. 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 stillcovering 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 incompletenesstheorems 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. The requirement to reason logically forms the basis of all mathematics, and hence mathematical logic is one of the most fundamental topics that students will study. Assuming no prior knowledge of the topic, this book provides an accessible introduction for advanced undergraduate students. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198500513

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