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Beschreibung
Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Zusammenfassung
Preliminary Text. Do not use. This book offers an introductory course in model theory emphasizing connections to algebra. It will be an appropriate introduction both for graduate students interested in advanced work in model theory and for students and researchers in logic or algebra who want to learn the basic results and themes of model theory. In the end, the reader will have a firm background in model theory and be well motivated and well prepared for more advanced treatments like Pillay's "Geometric Model Theory" or Buechler's "Essential Stability Theory."
Inhaltsverzeichnis
Introduction * Structures and Theories * Basic Techniques * Algebraic Examples * Realizing and Omitting Types * Indiscernibles * w-stable theoryes * w-stable groups * Geometry of strongly minmal sets * Appendix A: Set Theory * Appendix B: Real Algebra * References * Index
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Grundlagen |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Graduate Texts in Mathematics |
Inhalt: |
viii
345 S. 2 s/w Illustr. |
ISBN-13: | 9781441931573 |
ISBN-10: | 1441931570 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Marker, David |
Auflage: | Softcover reprint of hardcover 1st ed. 2002 |
Hersteller: |
Springer New York
Springer US, New York, N.Y. Graduate Texts in Mathematics |
Maße: | 235 x 155 x 20 mm |
Von/Mit: | David Marker |
Erscheinungsdatum: | 01.12.2010 |
Gewicht: | 0,54 kg |
Zusammenfassung
Preliminary Text. Do not use. This book offers an introductory course in model theory emphasizing connections to algebra. It will be an appropriate introduction both for graduate students interested in advanced work in model theory and for students and researchers in logic or algebra who want to learn the basic results and themes of model theory. In the end, the reader will have a firm background in model theory and be well motivated and well prepared for more advanced treatments like Pillay's "Geometric Model Theory" or Buechler's "Essential Stability Theory."
Inhaltsverzeichnis
Introduction * Structures and Theories * Basic Techniques * Algebraic Examples * Realizing and Omitting Types * Indiscernibles * w-stable theoryes * w-stable groups * Geometry of strongly minmal sets * Appendix A: Set Theory * Appendix B: Real Algebra * References * Index
Details
Erscheinungsjahr: | 2010 |
---|---|
Fachbereich: | Grundlagen |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Graduate Texts in Mathematics |
Inhalt: |
viii
345 S. 2 s/w Illustr. |
ISBN-13: | 9781441931573 |
ISBN-10: | 1441931570 |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Marker, David |
Auflage: | Softcover reprint of hardcover 1st ed. 2002 |
Hersteller: |
Springer New York
Springer US, New York, N.Y. Graduate Texts in Mathematics |
Maße: | 235 x 155 x 20 mm |
Von/Mit: | David Marker |
Erscheinungsdatum: | 01.12.2010 |
Gewicht: | 0,54 kg |
Warnhinweis