Model Theory : An Introduction
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ISBN-13:
9780387987606
Veröffentl:
2002
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
21.08.2002
Seiten:
356
Autor:
David Marker
Gewicht:
699 g
Format:
241x160x25 mm
Serie:
217, Graduate Texts in Mathematics
Sprache:
Englisch
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
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."
Structures and Theories.- Basic Techniques.- Algebraic Examples.- Realizing and Omitting Types.- Indiscernibles.- ?-Stable Theories.- ?-Stable Groups.- Geometry of Strongly Minimal Sets.
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