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＜電子ブック＞
Mathematical Logic and Model Theory : A Brief Introduction / by Alexander Prestel, Charles N. Delzell
(Universitext. ISSN:21916675)

版	1st ed. 2011.
出版者	(London : Springer London : Imprint: Springer)
出版年	2011
大きさ	X, 194 p : online resource
著者標目	*Prestel, Alexander author Delzell, Charles N author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Machine theory FREE:Mathematics FREE:Formal Languages and Automata Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4471-2176-3

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