Mathematical Logic and Model Theory [recurso electrónico] : A Brief Introduction / by Alexander Prestel, Charles N. Delzell.

Por: Prestel, Alexander [author.]Colaborador(es): Delzell, Charles N [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries UniversitextEditor: London : Springer London, 2011Descripción: X, 194 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781447121763Tema(s): Mathematics | Computer science | Mathematics | Mathematics, general | Mathematical Logic and Formal LanguagesFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 510 Clasificación LoC:QA1-939Recursos en línea: Libro electrónicoTexto
Contenidos:
First-Order Logic -- Model Constructions -- Properties of Model Classes -- Model Theory of Several Algebraic Theories.
En: Springer eBooksResumen: Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen's work on Artin's conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differs significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic.  Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4). This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study.
Star ratings
    Valoración media: 0.0 (0 votos)
Existencias
Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA1 -939 (Browse shelf(Abre debajo)) 1 No para préstamo 372351-2001

First-Order Logic -- Model Constructions -- Properties of Model Classes -- Model Theory of Several Algebraic Theories.

Mathematical Logic and Model Theory: A Brief Introduction offers a streamlined yet easy-to-read introduction to mathematical logic and basic model theory. It presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. As a profound application of model theory in algebra, the last part of this book develops a complete proof of Ax and Kochen's work on Artin's conjecture about Diophantine properties of p-adic number fields. The character of model theoretic constructions and results differs significantly from that commonly found in algebra, by the treatment of formulae as mathematical objects. It is therefore indispensable to first become familiar with the problems and methods of mathematical logic.  Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic treatment of several algebraic theories (Chapter 4). This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study.

19

Con tecnología Koha