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Author : Jonathan Kirby
Release : 2019-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 889/5 ( reviews)
Book Synopsis An Invitation to Model Theory by : Jonathan Kirby
Download or read book An Invitation to Model Theory written by Jonathan Kirby. This book was released on 2019-04-18. Available in PDF, EPUB and Kindle. Book excerpt: An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.
Author : Jonathan Kirby
Release : 2019-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 398/5 ( reviews)
Book Synopsis An Invitation to Model Theory by : Jonathan Kirby
Download or read book An Invitation to Model Theory written by Jonathan Kirby. This book was released on 2019-04-18. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Wilfrid Hodges
Release : 1997-04-10
Genre : Mathematics
Kind : eBook
Book Rating : 136/5 ( reviews)
Book Synopsis A Shorter Model Theory by : Wilfrid Hodges
Download or read book A Shorter Model Theory written by Wilfrid Hodges. This book was released on 1997-04-10. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Brendan Fong
Release : 2019-07-18
Genre : Computers
Kind : eBook
Book Rating : 295/5 ( reviews)
Book Synopsis An Invitation to Applied Category Theory by : Brendan Fong
Download or read book An Invitation to Applied Category Theory written by Brendan Fong. This book was released on 2019-07-18. Available in PDF, EPUB and Kindle. Book excerpt: Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.
Author : David Marker
Release : 2006-04-06
Genre : Mathematics
Kind : eBook
Book Rating : 342/5 ( reviews)
Book Synopsis Model Theory : An Introduction by : David Marker
Download or read book Model Theory : An Introduction written by David Marker. This book was released on 2006-04-06. Available in PDF, EPUB and Kindle. Book excerpt: 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
