Introduction to Model Theory - Couverture souple

Livre 9 sur 11: Algebra, Logic and Applications

Rothmaler, Philipp

 
9789056993139: Introduction to Model Theory
Couverture souple
ISBN 10 : 9056993135 ISBN 13 : 9789056993139
Editeur : CRC Press, 2000

Synopsis

Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect.

This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory.

Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Rothmaler, Philipp

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2000
Langue
anglais
ISBN 10 
9056993135
ISBN 13 
9789056993139
Reliure
Broché
Nombre de pages
305
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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Hamburg
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