eBook Name : Mathematical Logic and Model Theory

About Author

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.

File Name: Mathematical Logic and Model Theory.pdf

Open/Read eBook     
You are not signed in. Kindly sign in or register a new account.

Download eBook     
You are not signed in. Kindly sign in or register a new account.


Comment     
You are not signed in. Kindly sign in or register a new account.

SEARCH BY CATEGORIES

Arts & Humanities

Science

Social Science

Mathematics

Engineering & Technology

Business & Finance

Media & Entertainment

Sports & Games

General Knowledge

Business Admin and Management

Medical

Travel & Adventure

Society, Entertainment & Lifestyle

MAGAZINES