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Mathematical Logic and Model Theory - Alexander Prestel, Charles N. Delzell

Mathematical Logic and Model Theory

A Brief Introduction
Buch | Softcover
194 Seiten
2011
Springer London Ltd (Verlag)
978-1-4471-2175-6 (ISBN)
CHF 97,35 inkl. MwSt
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 differ quite 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.

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

Reihe/Serie Universitext
Zusatzinfo X, 194 p.
Verlagsort England
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Logik / Mengenlehre
Schlagworte Mathematical Logic • model Theory
ISBN-10 1-4471-2175-9 / 1447121759
ISBN-13 978-1-4471-2175-6 / 9781447121756
Zustand Neuware
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