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Focusing on model theory's applications to algebra, this modern introduction covers classical topics like model construction, type spaces, and prime models, while also delving into stability theory, including Morley's Categoricity Theorem. Unique to this text are chapters on omega-stable groups and the geometry of strongly minimal sets, which are often overlooked in other introductions. The author further illustrates the relevance of these concepts through Hrushovski's contributions to diophantine geometry, providing a comprehensive and innovative perspective on the subject.
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Model Theory : An Introduction, David Marker
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- 2010
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