Model Theory in Algebra, Analysis and Arithmetic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Model Theory in Algebra, Analysis and Arithmetic write by Lou van den Dries. This book was released on 2014-09-20. Model Theory in Algebra, Analysis and Arithmetic available in PDF, EPUB and Kindle. Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.
Model Theory : An Introduction
Model Theory : An Introduction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Model Theory : An Introduction write by David Marker. This book was released on 2006-04-06. Model Theory : An Introduction available in PDF, EPUB and Kindle. Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Mathematical Logic and Model Theory
Mathematical Logic and Model Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Logic and Model Theory write by Alexander Prestel. This book was released on 2011-08-21. Mathematical Logic and Model Theory available in PDF, EPUB and Kindle. 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.
A Course in Model Theory
A Course in Model Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Course in Model Theory write by Katrin Tent. This book was released on 2012-03-08. A Course in Model Theory available in PDF, EPUB and Kindle. Concise introduction to current topics in model theory, including simple and stable theories.
Model Theory with Applications to Algebra and Analysis
Model Theory with Applications to Algebra and Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Model Theory with Applications to Algebra and Analysis write by Zoé Maria Chatzidakis. This book was released on 2008. Model Theory with Applications to Algebra and Analysis available in PDF, EPUB and Kindle. The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles convey outstanding new research on topics such as model theory and conjectures around Mordell-Lang; arithmetic of differential equations, and Galois theory of difference equations; model theory and complex analytic geometry; o-minimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this book will undoubtedly appeal to all mathematicians with an interest in model theory and its applications, from graduate students to senior researchers and from beginners to experts.
