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David Marker, "Model Theory: An Introduction"

Posted on 2010-03-27




Name:David Marker, "Model Theory: An Introduction"
ASIN/ISBN:0387987606
Language:English
File size:3 Mb
ISBN: 0387987606
Publish Date: 2002 Year
File Size: 3 Mb
Pages: 360 Pages
Other Info: Springer; optimized DJVU file with searchable text
   David Marker, "Model Theory: An Introduction"

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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.

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