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An introductory section prepares readers for successive chapters on propositional logic and first-order languages and logic. Subsequent chapters shift in emphasis from an approach to logic from a mathematical point of view to the interplay between mathematics and logic. Topics include the theorems of Gödel, Church, and Tarski on incompleteness, undecidability, and indefinability; a rigorous treatment of recursive functions and recursive relations; computability theory; and Hilbert's Tenth Problem. Numerous exercises appear throughout the text, and an appendix offers helpful background on number theory.
Dover (2013) republication of the edition published by PWS Publishing Company, Boston, 1995.
See every Dover book in print at
[...]
An introductory section prepares readers for successive chapters on propositional logic and first-order languages and logic. Subsequent chapters shift in emphasis from an approach to logic from a mathematical point of view to the interplay between mathematics and logic. Topics include the theorems of Gödel, Church, and Tarski on incompleteness, undecidability, and indefinability; a rigorous treatment of recursive functions and recursive relations; computability theory; and Hilbert's Tenth Problem. Numerous exercises appear throughout the text, and an appendix offers helpful background on number theory.
Dover (2013) republication of the edition published by PWS Publishing Company, Boston, 1995.
See every Dover book in print at
[...]
1. Background
2. Language and Semantics of Propositional Logic
3. Propositional Logic
4. First-Order Languages
5. First-Order Logic
6. Mathematics and Logic
7. Incompleteness, Undecidability and Indefinability
8. Recursive Functions
9. Compatability Theory
10. Hilbert's Tenth Problem
Appendix: Number Theory
References and recommended readings
Index
| Erscheinungsjahr: | 2013 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780486497853 |
| ISBN-10: | 0486497852 |
| UPC: | 800759497850 |
| EAN: | 0800759497850 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Hodel, Richard E |
| Hersteller: | Dover Publications |
| Maße: | 233 x 154 x 30 mm |
| Von/Mit: | Richard E Hodel |
| Erscheinungsdatum: | 20.02.2013 |
| Gewicht: | 0,649 kg |
1. Background
2. Language and Semantics of Propositional Logic
3. Propositional Logic
4. First-Order Languages
5. First-Order Logic
6. Mathematics and Logic
7. Incompleteness, Undecidability and Indefinability
8. Recursive Functions
9. Compatability Theory
10. Hilbert's Tenth Problem
Appendix: Number Theory
References and recommended readings
Index
| Erscheinungsjahr: | 2013 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780486497853 |
| ISBN-10: | 0486497852 |
| UPC: | 800759497850 |
| EAN: | 0800759497850 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Hodel, Richard E |
| Hersteller: | Dover Publications |
| Maße: | 233 x 154 x 30 mm |
| Von/Mit: | Richard E Hodel |
| Erscheinungsdatum: | 20.02.2013 |
| Gewicht: | 0,649 kg |
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