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An Introduction to Mathematical Logic
Taschenbuch von Richard E Hodel
Sprache: Englisch

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Beschreibung
Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy.
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
[...]
Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy.
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
[...]
Inhaltsverzeichnis
Preface
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
Details
Erscheinungsjahr: 2013
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 512
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
preigu-id: 114966900
Inhaltsverzeichnis
Preface
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
Details
Erscheinungsjahr: 2013
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 512
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
preigu-id: 114966900
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