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Modern Mathematical Logic
Buch von Joseph Mileti
Sprache: Englisch

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Beschreibung
This book, meant for undergraduate mathematics students and teachers, introduces algebraic number theory through problems from ordinary number theory that can be solved with the help of algebraic numbers, using a suitable generalization of unique prime factorization. The material is motivated by weaving historical information throughout.
This book, meant for undergraduate mathematics students and teachers, introduces algebraic number theory through problems from ordinary number theory that can be solved with the help of algebraic numbers, using a suitable generalization of unique prime factorization. The material is motivated by weaving historical information throughout.
Über den Autor
Joseph Mileti is Associate Professor in the Department of Mathematics and Statistics at Grinnell College, USA. He won the 2004 Sacks Prize from the Association of Symbolic Logic for the best doctoral dissertation in mathematical logic (worldwide) and leading experts have celebrated his original courses and materials taught at many universities.
Inhaltsverzeichnis
Preface; Acknowledgements; 1. Introduction; 2. Induction and recursion; 3. Propositional logic; 4. First-order logic: languages and structures; 5. Relationships between structures; 6. Implication and compactness; 7. Model theory; 8. Axiomatic set theory; 9. Ordinals, cardinals, and choice; 10. Set-theoretic methods in model theory; 11. Computable sets and functions; 12. Logic, computation, and incompleteness; Appendix: mathematical background; References; Index.
Details
Erscheinungsjahr: 2022
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 502
Reihe: Cambridge Mathematical Textbooks
ISBN-13: 9781108833141
ISBN-10: 1108833144
Sprache: Englisch
Einband: Gebunden
Autor: Mileti, Joseph
Auflage: New ed
Hersteller: Cambridge University Pr.
Abbildungen: Worked examples or Exercises
Maße: 260 x 183 x 32 mm
Von/Mit: Joseph Mileti
Erscheinungsdatum: 10.2022
Gewicht: 1,161 kg
preigu-id: 121180472
Über den Autor
Joseph Mileti is Associate Professor in the Department of Mathematics and Statistics at Grinnell College, USA. He won the 2004 Sacks Prize from the Association of Symbolic Logic for the best doctoral dissertation in mathematical logic (worldwide) and leading experts have celebrated his original courses and materials taught at many universities.
Inhaltsverzeichnis
Preface; Acknowledgements; 1. Introduction; 2. Induction and recursion; 3. Propositional logic; 4. First-order logic: languages and structures; 5. Relationships between structures; 6. Implication and compactness; 7. Model theory; 8. Axiomatic set theory; 9. Ordinals, cardinals, and choice; 10. Set-theoretic methods in model theory; 11. Computable sets and functions; 12. Logic, computation, and incompleteness; Appendix: mathematical background; References; Index.
Details
Erscheinungsjahr: 2022
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 502
Reihe: Cambridge Mathematical Textbooks
ISBN-13: 9781108833141
ISBN-10: 1108833144
Sprache: Englisch
Einband: Gebunden
Autor: Mileti, Joseph
Auflage: New ed
Hersteller: Cambridge University Pr.
Abbildungen: Worked examples or Exercises
Maße: 260 x 183 x 32 mm
Von/Mit: Joseph Mileti
Erscheinungsdatum: 10.2022
Gewicht: 1,161 kg
preigu-id: 121180472
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