A Course on Mathematical Logic

• Main Author: Srivastava, Shashi Mohan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Edition: 2nd ed. 2013.
• Series: Universitext,
• Subjects: Mathematics.; Mathematical logic.; Algebra.; Mathematical Logic and Foundations.; Mathematical Logic and Formal Languages.

This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should f...

Table of Contents:

• Preface
• 1 Syntax of First-Order Logic
• 2 Semantics of First-Order Languages
• 3 Propositional Logic
• 4 Completeness Theorem for First-Order Logic
• 5 Model Theory
• 6 Recursive Functions and Arithmetization of Theories
• 7 Incompleteness Theorems and Recursion Theory
• References
• Index.