Model Theory: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2002
|
| Schriftenreihe: | Graduate Texts in Mathematics
217 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry. David Marker is Professor of Mathematics at the University of Illinois at Chicago. His main area of research involves mathematical logic and model theory, and their applications to algebra and geometry. This book was developed from a series of lectures given by the author at the Mathematical Sciences Research Institute in 1998 |
| Beschreibung: | 1 Online-Ressource (VIII, 345 p) |
| ISBN: | 9780387227344 9780387987606 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/b98860 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b98860 |
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| spelling | Marker, David Verfasser aut Model Theory An Introduction by David Marker New York, NY Springer New York 2002 1 Online-Ressource (VIII, 345 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 217 0072-5285 This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry. David Marker is Professor of Mathematics at the University of Illinois at Chicago. His main area of research involves mathematical logic and model theory, and their applications to algebra and geometry. This book was developed from a series of lectures given by the author at the Mathematical Sciences Research Institute in 1998 Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Modelltheorie (DE-588)4114617-7 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Modelltheorie (DE-588)4114617-7 s 2\p DE-604 https://doi.org/10.1007/b98860 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Marker, David Model Theory An Introduction Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Modelltheorie (DE-588)4114617-7 gnd |
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| title | Model Theory An Introduction |
| title_auth | Model Theory An Introduction |
| title_exact_search | Model Theory An Introduction |
| title_full | Model Theory An Introduction by David Marker |
| title_fullStr | Model Theory An Introduction by David Marker |
| title_full_unstemmed | Model Theory An Introduction by David Marker |
| title_short | Model Theory |
| title_sort | model theory an introduction |
| title_sub | An Introduction |
| topic | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Modelltheorie (DE-588)4114617-7 gnd |
| topic_facet | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Modelltheorie Einführung |
| url | https://doi.org/10.1007/b98860 |
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