A Guide to Classical and Modern Model Theory

Annalisa Marcja, Carlo Toffalori (auth.)9781402013300, 1402013302

Since its birth, Model Theory has been developing a number of methods and concepts that have their intrinsic relevance, but also provide fruitful and notable applications in various fields of Mathematics. It is a lively and fertile research area which deserves the attention of the mathematical world.

This volume:
-is easily accessible to young people and mathematicians unfamiliar with logic;
-gives a terse historical picture of Model Theory;
-introduces the latest developments in the area;
-provides ‘hands-on’ proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters.

A Guide to Classical and Modern Model Theory is for trainees and professional model theorists, mathematicians working in Algebra and Geometry and young people with a basic knowledge of logic.

Table of contents :
Front Matter….Pages i-xi
Structures….Pages 1-42
Quantifier Elimination….Pages 43-83
Model Completeness….Pages 85-119
Elimination of imaginaries….Pages 121-132
Morley rank….Pages 133-180
ω -stability….Pages 181-220
Classifying….Pages 221-290
Model Theory and Algebraic Geometry….Pages 291-311
O-minimality….Pages 313-349
Back Matter….Pages 351-369