Model Theory Algebra And Geometry PDF Download
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Author | : Deirdre Haskell |
Publisher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 2000-07-03 |
Genre | : Mathematics |
ISBN | : 9780521780681 |
Download Model Theory, Algebra, and Geometry Book in PDF, ePub and Kindle
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
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.
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 | : Lou van den Dries |
Publisher | : Springer |
Total Pages | : 201 |
Release | : 2014-09-20 |
Genre | : Mathematics |
ISBN | : 3642549365 |
Download Model Theory in Algebra, Analysis and Arithmetic Book 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.
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 | : M Droste |
Publisher | : CRC Press |
Total Pages | : 516 |
Release | : 2019-08-16 |
Genre | : Mathematics |
ISBN | : 1000725278 |
Download Advances in Algebra and Model Theory Book in PDF, ePub and Kindle
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
Author | : Philipp Rothmaler |
Publisher | : CRC Press |
Total Pages | : 324 |
Release | : 2018-12-07 |
Genre | : Mathematics |
ISBN | : 0429668503 |
Download Introduction to Model Theory Book in PDF, ePub and Kindle
Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.
Author | : Sumio Watanabe |
Publisher | : Cambridge University Press |
Total Pages | : 295 |
Release | : 2009-08-13 |
Genre | : Computers |
ISBN | : 0521864674 |
Download Algebraic Geometry and Statistical Learning Theory Book in PDF, ePub and Kindle
Sure to be influential, Watanabe's book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular: mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities.
Author | : Bradd T. Hart |
Publisher | : American Mathematical Soc. |
Total Pages | : 121 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821827057 |
Download Lectures on Algebraic Model Theory Book in PDF, ePub and Kindle
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.
Author | : Bradd T. Hart |
Publisher | : Springer Science & Business Media |
Total Pages | : 285 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 9401589232 |
Download Algebraic Model Theory Book in PDF, ePub and Kindle
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.