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Models Algebras And Proofs
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Book Synopsis Models, Algebras, and Proofs by : Xavier Caicedo
Download or read book Models, Algebras, and Proofs written by Xavier Caicedo and published by CRC Press. This book was released on 1998-11-05 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts worldwide."
Book Synopsis Models, Algebras, and Proofs by : Xavier Caicedo
Download or read book Models, Algebras, and Proofs written by Xavier Caicedo and published by CRC Press. This book was released on 2021-02-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts.
Download or read book Logic as Algebra written by Paul Halmos and published by American Mathematical Soc.. This book was released on 2019-01-30 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and provocative style that is the hallmark of Paul Halmos, from whose course the book is taken, is aimed at a broad audience, students, teachers and amateurs in mathematics, philosophy, computer science, linguistics and engineering; they all have to get to grips with logic at some stage. All that is needed.
Book Synopsis Linear Algebra Done Right by : Sheldon Axler
Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
Book Synopsis Model Theory : An Introduction by : David Marker
Download or read book Model Theory : An Introduction written by David Marker and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 342 pages. 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
Book Synopsis Model Theory and Algebraic Geometry by : Elisabeth Bouscaren
Download or read book Model Theory and Algebraic Geometry written by Elisabeth Bouscaren and published by Springer. This book was released on 2009-03-14 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Model Theoretic Oriented Approach to Partial Algebras by : P. Burmeister
Download or read book A Model Theoretic Oriented Approach to Partial Algebras written by P. Burmeister and published by Walter de Gruyter GmbH & Co KG. This book was released on 1986-12-31 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "A Model Theoretic Oriented Approach to Partial Algebras".
Book Synopsis Relation Algebras by Games by : Robin Hirsch
Download or read book Relation Algebras by Games written by Robin Hirsch and published by Gulf Professional Publishing. This book was released on 2002-08-15 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part 2, games are introduced, and used to axiomatise various classes of algebras. Part 3 discusses approximations to representability, using bases, relation algebra reducts, and relativised representations. Part 4 presents some constructions of relation algebras, including Monk algebras and the 'rainbow construction', and uses them to show that various classes of representable algebras are non-finitely axiomatisable or even non-elementary. Part 5 shows that the representability problem for finite relation algebras is undecidable, and then in contrast proves some finite base property results. Part 6 contains a condensed summary of the book, and a list of problems. There are more than 400 exercises. P The book is generally self-contained on relation algebras and on games, and introductory text is scattered throughout. Some familiarity with elementary aspects of first-order logic and set theory is assumed, though many of the definitions are given.-
Book Synopsis Model Theory of $mathrm {C}^*$-Algebras by : Ilijas Farah
Download or read book Model Theory of $mathrm {C}^*$-Algebras written by Ilijas Farah and published by American Mathematical Society. This book was released on 2021-09-24 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Model Theory of Operator Algebras by : Isaac Goldbring
Download or read book Model Theory of Operator Algebras written by Isaac Goldbring and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-07-24 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applications have grown considerably in the past decade. This book is dedicated to showing how the techniques of continuous model theory are used to study C*-algebras and von Neumann algebras. This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.
Book Synopsis Model Theory of Modules, Algebras and Categories by : Alberto Facchini
Download or read book Model Theory of Modules, Algebras and Categories written by Alberto Facchini and published by American Mathematical Soc.. This book was released on 2019-05-31 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28–August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.
Book Synopsis The Theory of Models by : J.W. Addison
Download or read book The Theory of Models written by J.W. Addison and published by Elsevier. This book was released on 2014-05-27 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules by : Christian.U Jensen
Download or read book Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules written by Christian.U Jensen and published by Routledge. This book was released on 2022-03-10 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume highlights the links between model theory and algebra. The work contains a definitive account of algebraically compact modules, a topic of central importance for both module and model theory. Using concrete examples, particular emphasis is given to model theoretic concepts, such as axiomizability. Pure mathematicians, especially algebraists, ring theorists, logicians, model theorists and representation theorists, should find this an absorbing and stimulating book.
Book Synopsis Models, Algebras and Logic of Engineering Software by : Manfred Broy
Download or read book Models, Algebras and Logic of Engineering Software written by Manfred Broy and published by IOS Press. This book was released on 2003 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the education of researchers, teachers, students and practitioners. As usual in engineering, a study and application of the relevant branches of mathematics is crucial both in education and practice.
Book Synopsis Process Algebra: Equational Theories of Communicating Processes by : J. C. M. Baeten
Download or read book Process Algebra: Equational Theories of Communicating Processes written by J. C. M. Baeten and published by Cambridge University Press. This book was released on 2010 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified overview of the various process algebras currently in use and sets the standard for the field.
Book Synopsis Algebras for Feature-Oriented Software Development by : Andreas Zelend
Download or read book Algebras for Feature-Oriented Software Development written by Andreas Zelend and published by BoD – Books on Demand. This book was released on 2020-04-07 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically presents the underlying mathematical structures and foundations of feature orientation in the fields of software development. New algebras are proposed and thorough investigations and discussions of their algebraic laws as well as insights on their practical applications are provided. Feature-oriented programming and feature-oriented software development have been established in computer science as a general programming paradigm that provides formalisms, methods, languages, and tools for building maintainable, customizable, and extensible software. Feature orientation has widespread applications, ranging from network protocols and data structures to software product lines.
Book Synopsis Model Theory and the Philosophy of Mathematical Practice by : John T. Baldwin
Download or read book Model Theory and the Philosophy of Mathematical Practice written by John T. Baldwin and published by Cambridge University Press. This book was released on 2018-01-25 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
