Model Theory : An Introduction

David Marker

ISBN 10: 0387987606 / ISBN 13: 9780387987606

Edité par Springer, Copernicus, 2002

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9780387987606

Détails bibliographiques

• Titre: Model Theory : An Introduction
• Éditeur: Springer, Copernicus
• Date de parution: 2002
• Langue: anglais
• ISBN à 10 chiffres: 0387987606
• ISBN à 13 chiffres: 9780387987606
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 25 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 25 millimètres de profondeur
• Poids: 699 grammes

A propos de ce titre

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