Mathematical Logic and Model Theory: A Brief Introduction (Universitext Book 0) 2011th Edition by Alexander Prestel (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐In my opinion this book achieves making formal and abstract concepts clear and accessible to the reader. It is very well suited for self study and certainly a good source for further development in mathematical logic and model theory as well as in its applications.

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Mathematical Logic and Model Theory: A Brief Introduction (Universitext Book 0) 2011th Edition PDF Free Download
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Mathematical Logic and Model Theory: A Brief Introduction (Universitext Book 0) 2011th Edition 2011 PDF Free Download
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