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The Resource A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource)
A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource)
Resource Information
The item A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more. Review from the first edition: "All results included in the book are very carefully selected and proved. The author’s manner of writing is excellent, which will surely make this book useful to many categories of readers." Marius Tarnauceanu, Zentralblatt MATH
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (206 p.)
 Note
 Description based upon print version of record
 Contents

 Preface
 1 Syntax of FirstOrder Logic
 2 Semantics of FirstOrder Languages
 3 Propositional Logic
 4 Completeness Theorem for FirstOrder Logic
 5 Model Theory
 6 Recursive Functions and Arithmetization of Theories
 7 Incompleteness Theorems and Recursion Theory
 References
 Index
 Isbn
 9781461457466
 Label
 A Course on Mathematical Logic
 Title
 A Course on Mathematical Logic
 Statement of responsibility
 by Shashi Mohan Srivastava
 Language

 eng
 eng
 Summary
 This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more. Review from the first edition: "All results included in the book are very carefully selected and proved. The author’s manner of writing is excellent, which will surely make this book useful to many categories of readers." Marius Tarnauceanu, Zentralblatt MATH
 http://library.link/vocab/creatorName
 Srivastava, Shashi Mohan
 Dewey number
 511.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 cERrMVRMaJc
 Language note
 English
 LC call number
 QA8.910.3
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Logic, Symbolic and mathematical
 Computer science
 Algebra
 Mathematical Logic and Foundations
 Mathematical Logic and Formal Languages
 Algebra
 Label
 A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Preface  1 Syntax of FirstOrder Logic  2 Semantics of FirstOrder Languages  3 Propositional Logic  4 Completeness Theorem for FirstOrder Logic  5 Model Theory  6 Recursive Functions and Arithmetization of Theories  7 Incompleteness Theorems and Recursion Theory  References  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (206 p.)
 Form of item
 online
 Isbn
 9781461457466
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461457466
 Specific material designation
 remote
 System control number

 (CKB)2670000000340828
 (EBL)1081993
 (OCoLC)827212490
 (SSID)ssj0000878683
 (PQKBManifestationID)11465384
 (PQKBTitleCode)TC0000878683
 (PQKBWorkID)10837170
 (PQKB)10682300
 (DEHe213)9781461457466
 (EXLCZ)992670000000340828
 Label
 A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Preface  1 Syntax of FirstOrder Logic  2 Semantics of FirstOrder Languages  3 Propositional Logic  4 Completeness Theorem for FirstOrder Logic  5 Model Theory  6 Recursive Functions and Arithmetization of Theories  7 Incompleteness Theorems and Recursion Theory  References  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (206 p.)
 Form of item
 online
 Isbn
 9781461457466
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461457466
 Specific material designation
 remote
 System control number

 (CKB)2670000000340828
 (EBL)1081993
 (OCoLC)827212490
 (SSID)ssj0000878683
 (PQKBManifestationID)11465384
 (PQKBTitleCode)TC0000878683
 (PQKBWorkID)10837170
 (PQKB)10682300
 (DEHe213)9781461457466
 (EXLCZ)992670000000340828
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