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140122  eng 
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a 9780387227344

100 
1 

a Marker, David

245 
0 
0 
a Model Theory : An Introduction
h Elektronische Ressource
c by David Marker

250 


a 1st ed. 2002

260 


a New York, NY
b Springer New York
c 2002, 2002

300 


a VIII, 345 p
b online resource

505 
0 

a Structures and Theories  Basic Techniques  Algebraic Examples  Realizing and Omitting Types  Indiscernibles  ?Stable Theories  ?Stable Groups  Geometry of Strongly Minimal Sets

653 


a Mathematical logic

653 


a Mathematical Logic and Foundations

041 
0 
7 
a eng
2 ISO 6392

989 


b SBA
a Springer Book Archives 2004

490 
0 

a Graduate Texts in Mathematics

028 
5 
0 
a 10.1007/b98860

856 
4 
0 
u https://doi.org/10.1007/b98860?nosfx=y
x Verlag
3 Volltext

082 
0 

a 511.3

520 


a 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 omegastable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omegastable 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
