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Mathematical Logic and Model Theory (Paperback, 2011)
Loot Price: R1,910
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Mathematical Logic and Model Theory (Paperback, 2011)
Series: Universitext
Expected to ship within 10 - 15 working days
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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.
General
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