• ВХОД

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    Полное описание

    Prestel, A. Mathematical Logic and Model Theory : a Brief Introduction / by Alexander Prestel, Charles N. Delzell. - London : Springer, 2011. - on-line. - (Universitext, ISSN 0172-5939). - URL: http://dx.doi.org/10.1007/978-1-4471-2176-3. - Загл. с экрана. - ISBN 978-1-4471-2176-3. - Текст : электронный.
    Содержание:
    First-Order Logic -- Model Constructions -- Properties of Model Classes -- Model Theory of Several Algebraic Theories.

    ГРНТИ УДК
    27.03.19510
    27.03.66510.67

    Рубрики:
    mathematics
    mathematical logic
    mathematics
    mathematics, general
    mathematical Logic and Formal Languages

    Аннотация: 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.
    Доп. точки доступа:
    Delzell, C.D.

    http://dx.doi.org/10.1007/978-1-4471-2176-3


    Держатели документа:
    Государственная публичная научно-техническая библиотека России : 123298, г. Москва, ул. 3-я Хорошевская, д. 17 (Шифр в БД-источнике (KATBW): -420816483)

    Шифр в сводном ЭК: ac061c9d05d65a98f6369933606d0aed



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