Bruno Poizat
Springer New York
0e druk, 2012
9781461264460
A Course in Model Theory
An Introduction to Contemporary Mathematical Logic
Specificaties
Paperback, 443 blz.
|
Engels
Springer New York |
0e druk, 2012
ISBN13: 9781461264460
Rubricering
Onderdeel van serie
Universitext
Levertijd ongeveer 8 werkdagen
Samenvatting
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
Specificaties
ISBN13:9781461264460
Taal:Engels
Bindwijze:paperback
Aantal pagina's:443
Uitgever:Springer New York
Druk:0
Serie:Universitext
Inhoudsopgave
1 Elementary Classes of Relations.- The Language Associated with a Relation.- 3 Extensions of the Language: Structures.- 4 Compactness.- 5 The Back-and-Forth Method in ?-Saturated Models.- 6 Examples Illustrating the Back-and-Forth Method.- 7 Arithmetic.- 8 Ordinals and Cardinals.- 9 Saturated Models.- 10 Prime Models.- 11 Heirs.- 12 Special Sons, Morley Sequences.- 13 The Fundamental Order.- 14 Stability and Saturated Models.- 15 Forking.- 16 Strong Types.- 17 Notions of Rank.- 18 Stability and Prime Models.- 19 Stability, Indiscernible Sequences and Weights.- 20 Dimension in Models of a Totally Transcendental Theory.- Index of Notation.