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Model Theory by Maria Manzano (English) Hardcover Book
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Specificaties
- Objectstaat
- ISBN-13
- 9780198538516
- Book Title
- Model Theory
- ISBN
- 9780198538516
- Publication Name
- Model Theory
- Item Length
- 9.5in
- Publisher
- Oxford University Press, Incorporated
- Series
- Oxford Logic Guides
- Publication Year
- 1999
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.7in
- Item Width
- 6.3in
- Item Weight
- 18.8 Oz
- Number of Pages
- 264 Pages
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Product Information
Formal 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.
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0198538510
ISBN-13
9780198538516
eBay Product ID (ePID)
758685
Product Key Features
Publication Name
Model Theory
Format
Hardcover
Language
English
Series
Oxford Logic Guides
Publication Year
1999
Type
Textbook
Number of Pages
264 Pages
Dimensions
Item Length
9.5in
Item Height
0.7in
Item Width
6.3in
Item Weight
18.8 Oz
Additional Product Features
Series Volume Number
37
Lc Classification Number
Qa9.7m3613 1999
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
Table of Content
1. 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
Copyright Date
1999
Topic
Logic
Lccn
00-500599
Dewey Decimal
511.3
Intended Audience
College Audience
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics
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