Model Theory Algebra And Geometry
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Model Theory Algebra And Geometry
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Author : Deirdre Haskell
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-03
Model Theory Algebra And Geometry written by Deirdre Haskell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-03 with Mathematics categories.
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
Model Theory In Algebra Analysis And Arithmetic
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Author : Lou van den Dries
language : en
Publisher: Springer
Release Date : 2014-09-20
Model Theory In Algebra Analysis And Arithmetic written by Lou van den Dries and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-20 with Mathematics categories.
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 And Algebraic Geometry
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Author : Elisabeth Bouscaren
language : en
Publisher: Springer
Release Date : 2009-03-14
Model Theory And Algebraic Geometry written by Elisabeth Bouscaren and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-14 with Mathematics categories.
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.
Algebraic Model Theory
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Author : Bradd T. Hart
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Algebraic Model Theory written by Bradd T. Hart and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.
A Guide To Classical And Modern Model Theory
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Author : Annalisa Marcja
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-10
A Guide To Classical And Modern Model Theory written by Annalisa Marcja and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-10 with Philosophy categories.
This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. The book is for trainees and professional model theorists, and mathematicians working in Algebra and Geometry.
Model Theory An Introduction
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Author : David Marker
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
Model Theory An Introduction written by David Marker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.
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
Model Theory Of Fields
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Author : David Marker
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Model Theory Of Fields written by David Marker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.
Model Theory And Algebraic Geometry
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Author : Elisabeth Bouscaren
language : en
Publisher:
Release Date : 2014-09-01
Model Theory And Algebraic Geometry written by Elisabeth Bouscaren and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Lectures On Algebraic Model Theory
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Author : Bradd T. Hart
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Lectures On Algebraic Model Theory written by Bradd T. Hart and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Algebraic fields categories.
This thin volume contains three sets of lecture notes, representing recent developments in differential scales, o-minimality, and tame convergence theory. The first lecture outlines the basics of differential fields, and then addresses topics like differential varieties and tangent bundles, Kolchin's logarithmic derivative, and Manin's construction. The second describes added exponentation, T-convexity and tame extensions, piecewise linearity, the Wilkie inequality, and the valuation property. And the third considers the structure and varieties of finite algebra. No index. c. Book News Inc.
A Functorial Model Theory
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Author : Cyrus F. Nourani
language : en
Publisher: CRC Press
Release Date : 2016-04-19
A Functorial Model Theory written by Cyrus F. Nourani and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.