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Oxford Logic Guides: Model Theory by Ruy J. G. B. de Queiroz and Maria Manzano (1999, Hardcover)

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Model Theory by Maria Manzano, Ruy De Queiroz. Author Maria Manzano, Ruy De Queiroz. Logic languages are free from the ambiguities of natural languages, and are therefore specially suited for use in computing.

About this product

Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100198538510

ISBN-139780198538516

eBay Product ID (ePID)758685

Product Key Features

Number of Pages264 Pages

LanguageEnglish

Publication NameModel Theory

Publication Year1999

SubjectLogic

TypeTextbook

Subject AreaMathematics

AuthorRuy J. G. B. De Queiroz, Maria Manzano

SeriesOxford Logic Guides

FormatHardcover

Dimensions

Item Height0.7 in

Item Weight17.6 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceCollege Audience

LCCN00-500599

Reviews"This is an excellent pedagogically oriented introductory text on classical model theory addressed to students without any previous background in logic. It seems suitable for advanced undergraduate mathematics majors, and might equally be used as a motivated (and motivating) introduction to mathematical logic. The large number of examples, exercises and problems placed at the end of each section will well serve the learner, be it in a course or in self-study. The preface by J. Mosterin furnishes a valuable perspective of the scope and development of model theory. The detailed glossary of symbols and abbreviations coupled with a good index enhances the use of this text. . . . All in all, this is a carefully written book based on considerable experience in teaching model theory and thus is highly suitable for adoption as a classroom text."--Mathematical Reviews"[C]onsider odel Theory by Manzano. This book is especially well written. Each chapter begins with a very interesting and clarifying introduction. (I like the fact that Manzano introduces the notion of a structure first, without tying it to a first order language.)"--The Bulletin of Mathematics Books, "This is an excellent pedagogically oriented introductory text on classical model theory addressed to students without any previous background in logic. It seems suitable for advanced undergraduate mathematics majors, and might equally be used as a motivated (and motivating) introduction to mathematical logic. The large number of examples, exercises and problems placed at the end of each section will well serve the learner, be it in a course or in self-study. The preface by J. Mosterin furnishes a valuable perspective of the scope and development of model theory. The detailed glossary of symbols and abbreviations coupled with a good index enhances the use of this text. . . . All in all, this is a carefully written book based on considerable experience in teaching model theory and thus is highly suitable for adoption as a classroom text."--Mathematical Reviews "[C]onsider odel Theory by Manzano. This book is especially well written. Each chapter begins with a very interesting and clarifying introduction. (I like the fact that Manzano introduces the notion of a structure first, without tying it to a first order language.)"--The Bulletin of MathematicsBooks, "This is an excellent pedagogically oriented introductory text on classical model theory addressed to students without any previous background in logic. It seems suitable for advanced undergraduate mathematics majors, and might equally be used as a motivated (and motivating) introduction to mathematical logic. The large number of examples, exercises and problems placed at the end of each section will well serve the learner, be it in a course or in self-study. The preface by J. Mosterin furnishes a valuable perspective of the scope and development of model theory. The detailed glossary of symbols and abbreviations coupled with a good index enhances the use of this text. . . . All in all, this is a carefully written book based on considerable experience in teaching model theory and thus is highly suitable for adoption as a classroom text."--Mathematical Reviews "[C]onsider odel Theory by Manzano. This book is especially well written. Each chapter begins with a very interesting and clarifying introduction. (I like the fact that Manzano introduces the notion of a structure first, without tying it to a first order language.)"--The Bulletin of Mathematics Books, "This is an excellent pedagogically oriented introductory text on classical model theory addressed to students without any previous background in logic. It seems suitable for advanced undergraduate mathematics majors, and might equally be used as a motivated (and motivating) introduction to mathematical logic. The large number of examples, exercises and problems placed at the end of each section will well serve the learner, be it in a course or in self-study. The preface by J. Mosterin furnishes a valuable perspective of the scope and development of model theory. The detailed glossary of symbols and abbreviations coupled with a good index enhances the use of this text. . . . All in all, this is a carefully written book based on considerable experience in teaching model theory and thus is highly suitable for adoption as a classroom text."-- Mathematical Reviews "[C]onsider odel Theory by Manzano. This book is especially well written. Each chapter begins with a very interesting and clarifying introduction. (I like the fact that Manzano introduces the notion of a structure first, without tying it to a first order language.)"-- The Bulletin of Mathematics Books

Dewey Edition21

Series Volume Number37

IllustratedYes

Dewey Decimal511.3

Table Of Content1. Basic notions: universal algebra2. First order languages: semantics3. Completeness of first order logic4. Basic notions: model theory5. The compactness theorem6. Löwenheim-Skolem theorems7. Complete and categorical theories

SynopsisFormal logic, free from the ambiguities of natural languages, is especially suited for use in computing. In turn, model theory, which is concerned with the relationship between mathematical structures and logic, now has a wide range of applications in areas such as computing, philosophy, and linguistics. Model theory's power comes from its usefulness in defining new structures and in classifying existing ones by establishing links between them. This book, suitable for both mathematicians and students from outside the field, provides a clear and readable introduction to the subject. It includes brief historically background for each major topic and consistently points out the motivations for each new development. The proofs are also explained in detail., Logic languages are free from the ambiguities of natural languages, and are therefore specially suited for use in computing. Model theory is the branch of mathematical logic which concerns the relationship between mathematical structures and logic languages, and has become increasingly important in areas such as computing, philosophy and linguistics. As the reasoning process takes place at a very abstract level, model theory applies to a wide variety of structures. It is also possible to define new structures and classify existing ones by establishing links between them. These links can be very useful since they allow us to transfer our knowledge between related structures. This book provides a clear and readable introduction to the subject, and is suitable for both mathematicians and students from outside the subject. It includes some historically relevant information before each major topic is introduced, making it a useful reference for non-experts. The motivation of the subject is constantly explained, and proofs are also explained in detail., Model theory is the branch of mathematical logic looking at the relationship between mathematical structures and logic languages. These formal languages are free from the ambiguities of natural languages, and are becoming increasingly important in areas such as computing, philosophy and linguistics. This book provides a clear introduction to the subject for both mathematicians and the non-specialists now needing to learn some model theory.

LC Classification NumberQA9.7M3613 1999