[PDF] Continuous Model Theory eBook

Author : Chen Chung Chang
Publisher : Princeton University Press
Page : 180 pages
File Size : 32,72 MB
Release : 1966-06-21
Category : Mathematics
ISBN : 0691079293

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This is a study of the theory of models with truth values in a compact Hausdorff topological space.

Author : Chen Chung Chang
Publisher : Princeton University Press
Page : 165 pages
File Size : 11,20 MB
Release : 2016-03-02
Category : Mathematics
ISBN : 1400882052

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This is a study of the theory of models with truth values in a compact Hausdorff topological space.

Author : Jakša Cvitanic
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 16,5 MB
Release : 2012-09-26
Category : Mathematics
ISBN : 3642141994

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In recent years there has been a significant increase of interest in continuous-time Principal-Agent models, or contract theory, and their applications. Continuous-time models provide a powerful and elegant framework for solving stochastic optimization problems of finding the optimal contracts between two parties, under various assumptions on the information they have access to, and the effect they have on the underlying "profit/loss" values. This monograph surveys recent results of the theory in a systematic way, using the approach of the so-called Stochastic Maximum Principle, in models driven by Brownian Motion. Optimal contracts are characterized via a system of Forward-Backward Stochastic Differential Equations. In a number of interesting special cases these can be solved explicitly, enabling derivation of many qualitative economic conclusions.

Author : Charles Loewner
Publisher : Courier Corporation
Page : 128 pages
File Size : 29,16 MB
Release : 2008-01-01
Category : Mathematics
ISBN : 0486462927

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Based on lectures by a renowned educator, this book focuses on continuous groups, particularly in terms of applications in geometry and analysis. The author's unique perspectives are illustrated by numerous inventive geometric examples, many of which were inspired by footnotes among the work of Sophus Lie. 1971 edition.

Author : J.W. Addison
Publisher : Elsevier
Page : 513 pages
File Size : 19,94 MB
Release : 2014-05-27
Category : Mathematics
ISBN : 1483275345

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Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.

Author : Jose Iovino
Publisher : CRC Press
Page : 596 pages
File Size : 47,63 MB
Release : 2023-07-03
Category : Mathematics
ISBN : 042955866X

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Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s, it rapidly became one of the central most active branches of mathematical logic. In the last few decades, ideas that originated within model theory have provided powerful tools to solve problems in a variety of areas of classical mathematics, including algebra, combinatorics, geometry, number theory, and Banach space theory and operator theory. The two volumes of Beyond First Order Model Theory present the reader with a fairly comprehensive vista, rich in width and depth, of some of the most active areas of contemporary research in model theory beyond the realm of the classical first-order viewpoint. Each chapter is intended to serve both as an introduction to a current direction in model theory and as a presentation of results that are not available elsewhere. All the articles are written so that they can be studied independently of one another. This second volume contains introductions to real-valued logic and applications, abstract elementary classes and applications, interconnections between model theory and function spaces, nonstucture theory, and model theory of second-order logic. Features A coherent introduction to current trends in model theory. Contains articles by some of the most influential logicians of the last hundred years. No other publication brings these distinguished authors together. Suitable as a reference for advanced undergraduate, postgraduates, and researchers. Material presented in the book (e.g, abstract elementary classes, first-order logics with dependent sorts, and applications of infinitary logics in set theory) is not easily accessible in the current literature. The various chapters in the book can be studied independently.

Author : Jose Iovino
Publisher : CRC Press
Page : 382 pages
File Size : 44,85 MB
Release : 2017-08-14
Category : Mathematics
ISBN : 1315351099

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Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.