Model Theory : An Introduction

David Marker

ISBN 10: 0387987606 / ISBN 13: 9780387987606

Published by Springer-Verlag New York Inc., US, 2002

About this Item

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. "While some familiarity at the undergraduate level with mathematical logic would be helpful, it is not assumed. The author assumes familiarity with algebra at the first-year graduate level.

Seller Inventory # LU-9780387987606

Bibliographic Details

• Title: Model Theory : An Introduction
• Publisher: Springer-Verlag New York Inc., US
• Publication Date: 2002
• Language: English
• ISBN 10: 0387987606
• ISBN 13: 9780387987606
• Binding: Hardback
• Edition: 2002 ed.
• Condition: New
• Dimensions: 15.6W x 2.06H x 23.4D centimeters 15.6 centimeters width by 2.06 centimeters height by 23.4 centimeters depth

About this title

Synopsis

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

From the Back Cover

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.