Model Theory PDF Download
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| Author | : Wilfrid Hodges |
| Publisher | : Cambridge University Press |
| Total Pages | : 322 |
| Release | : 1997-04-10 |
| Genre | : Mathematics |
| ISBN | : 9780521587136 |
Download A Shorter Model Theory Book in PDF, ePub and Kindle
This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.
| Author | : Jonathan Kirby |
| Publisher | : Cambridge University Press |
| Total Pages | : 197 |
| Release | : 2019-04-18 |
| Genre | : Mathematics |
| ISBN | : 1316732398 |
Download An Invitation to Model Theory Book in PDF, ePub and Kindle
Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.
| Author | : |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1973 |
| Genre | : Model theory |
| ISBN | : 9780720422009 |
Download Model Theory Book in PDF, ePub and Kindle
| Author | : David Marker |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 342 |
| Release | : 2006-04-06 |
| Genre | : Mathematics |
| ISBN | : 0387227342 |
Download Model Theory : An Introduction Book 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
| Author | : Bruno Poizat |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 472 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1441986227 |
Download A Course in Model Theory Book in PDF, ePub and Kindle
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
| Author | : John T. Baldwin |
| Publisher | : Cambridge University Press |
| Total Pages | : 365 |
| Release | : 2018-01-25 |
| Genre | : Mathematics |
| ISBN | : 1107189217 |
Download Model Theory and the Philosophy of Mathematical Practice Book in PDF, ePub and Kindle
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
| Author | : Leonid Libkin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 320 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662070030 |
Download Elements of Finite Model Theory Book in PDF, ePub and Kindle
Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.
| Author | : Katrin Tent |
| Publisher | : Cambridge University Press |
| Total Pages | : 259 |
| Release | : 2012-03-08 |
| Genre | : Mathematics |
| ISBN | : 052176324X |
Download A Course in Model Theory Book in PDF, ePub and Kindle
Concise introduction to current topics in model theory, including simple and stable theories.
| Author | : S. Shelah |
| Publisher | : Elsevier |
| Total Pages | : 740 |
| Release | : 1990-12-06 |
| Genre | : Mathematics |
| ISBN | : 9780080880242 |
Download Classification Theory Book in PDF, ePub and Kindle
In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m|M|. This theorem is also the subject of Chapter XIII.
| Author | : Elisabeth Bouscaren |
| Publisher | : Springer |
| Total Pages | : 223 |
| Release | : 2009-03-14 |
| Genre | : Mathematics |
| ISBN | : 3540685219 |
Download Model Theory and Algebraic Geometry Book in PDF, ePub and Kindle
This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovski's model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovski's proof, explaining the necessary tools and results from stability theory on the way. The first chapter is an informal introduction to model theory itself, making the book accessible (with a little effort) to readers with no previous knowledge of model theory. The authors have collaborated closely to achieve a coherent and self- contained presentation, whereby the completeness of exposition of the chapters varies according to the existence of other good references, but comments and examples are always provided to give the reader some intuitive understanding of the subject.
