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Cover: 9781316615553 | An Invitation to Model Theory | Jonathan Kirby | Taschenbuch | 2019
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An Invitation to Model Theory
Taschenbuch von Jonathan Kirby
Sprache: Englisch

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Beschreibung
An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.
An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.
Über den Autor
Jonathan Kirby is a Senior Lecturer in Mathematics at the University of East Anglia. His main research is in model theory and its interactions with algebra, number theory, and analysis, with particular interest in exponential functions. He has taught model theory at the University of Oxford, the University of Illinois, Chicago, and the University of East Anglia.
Inhaltsverzeichnis
Preface; Part I. Languages and Structures: 1. Structures; 2. Terms; 3. Formulas; 4. Definable sets; 5. Substructures and quantifiers; Part II. Theories and Compactness: 6. Theories and axioms; 7. The complex and real fields; 8. Compactness and new constants; 9. Axiomatisable classes; 10. Cardinality considerations; 11. Constructing models from syntax; Part III. Changing Models: 12. Elementary substructures; 13. Elementary extensions; 14. Vector spaces and categoricity; 15. Linear orders; 16. The successor structure; Part IV. Characterising Definable Sets: 17. Quantifier elimination for DLO; 18. Substructure completeness; 19. Power sets and Boolean algebras; 20. The algebras of definable sets; 21. Real vector spaces and parameters; 22. Semi-algebraic sets; Part V. Types: 23. Realising types; 24. Omitting types; 25. Countable categoricity; 26. Large and small countable models; 27. Saturated models; Part VI. Algebraically Closed Fields: 28. Fields and their extensions; 29. Algebraic closures of fields; 30. Categoricity and completeness; 31. Definable sets and varieties; 32. Hilbert's Nullstellensatz; Bibliography; Index.
Details
Erscheinungsjahr: 2019
Fachbereich: Allgemeines
Genre: Importe, Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781316615553
ISBN-10: 1316615553
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Kirby, Jonathan
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Produktsicherheitsverantwortliche/r, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 226 x 149 x 17 mm
Von/Mit: Jonathan Kirby
Erscheinungsdatum: 13.06.2019
Gewicht: 0,304 kg
Artikel-ID: 116948539
Über den Autor
Jonathan Kirby is a Senior Lecturer in Mathematics at the University of East Anglia. His main research is in model theory and its interactions with algebra, number theory, and analysis, with particular interest in exponential functions. He has taught model theory at the University of Oxford, the University of Illinois, Chicago, and the University of East Anglia.
Inhaltsverzeichnis
Preface; Part I. Languages and Structures: 1. Structures; 2. Terms; 3. Formulas; 4. Definable sets; 5. Substructures and quantifiers; Part II. Theories and Compactness: 6. Theories and axioms; 7. The complex and real fields; 8. Compactness and new constants; 9. Axiomatisable classes; 10. Cardinality considerations; 11. Constructing models from syntax; Part III. Changing Models: 12. Elementary substructures; 13. Elementary extensions; 14. Vector spaces and categoricity; 15. Linear orders; 16. The successor structure; Part IV. Characterising Definable Sets: 17. Quantifier elimination for DLO; 18. Substructure completeness; 19. Power sets and Boolean algebras; 20. The algebras of definable sets; 21. Real vector spaces and parameters; 22. Semi-algebraic sets; Part V. Types: 23. Realising types; 24. Omitting types; 25. Countable categoricity; 26. Large and small countable models; 27. Saturated models; Part VI. Algebraically Closed Fields: 28. Fields and their extensions; 29. Algebraic closures of fields; 30. Categoricity and completeness; 31. Definable sets and varieties; 32. Hilbert's Nullstellensatz; Bibliography; Index.
Details
Erscheinungsjahr: 2019
Fachbereich: Allgemeines
Genre: Importe, Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781316615553
ISBN-10: 1316615553
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Kirby, Jonathan
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Produktsicherheitsverantwortliche/r, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 226 x 149 x 17 mm
Von/Mit: Jonathan Kirby
Erscheinungsdatum: 13.06.2019
Gewicht: 0,304 kg
Artikel-ID: 116948539
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