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Mathematical Logic and Model Theory
0 - Default Title
Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
204
Release Date:
2011-08-21
Publication Date:
2011-08-21
Publisher:
Springer
Languages:
Original:
English
ISBN10:
1447121759
ISBN13:
9781447121756
GPSR Manufacturer Reference:
Weight:
318 g
Height:
155 cm
Width:
235 cm
Thickness:
12 cm
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