The Resource A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource)

A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource)

Label
A Course on Mathematical Logic
Title
A Course on Mathematical Logic
Statement of responsibility
by Shashi Mohan Srivastava
Creator
Author
Author
Subject
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
Member of
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
QA8.9-10.3
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)
Instantiates
Publication
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 First-Order Logic -- 2 Semantics of First-Order Languages -- 3 Propositional Logic -- 4 Completeness Theorem for First-Order 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
10.1007/978-1-4614-5746-6
Specific material designation
remote
System control number
  • (CKB)2670000000340828
  • (EBL)1081993
  • (OCoLC)827212490
  • (SSID)ssj0000878683
  • (PQKBManifestationID)11465384
  • (PQKBTitleCode)TC0000878683
  • (PQKBWorkID)10837170
  • (PQKB)10682300
  • (DE-He213)978-1-4614-5746-6
  • (EXLCZ)992670000000340828
Label
A Course on Mathematical Logic, by Shashi Mohan Srivastava, (electronic resource)
Publication
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 First-Order Logic -- 2 Semantics of First-Order Languages -- 3 Propositional Logic -- 4 Completeness Theorem for First-Order 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
10.1007/978-1-4614-5746-6
Specific material designation
remote
System control number
  • (CKB)2670000000340828
  • (EBL)1081993
  • (OCoLC)827212490
  • (SSID)ssj0000878683
  • (PQKBManifestationID)11465384
  • (PQKBTitleCode)TC0000878683
  • (PQKBWorkID)10837170
  • (PQKB)10682300
  • (DE-He213)978-1-4614-5746-6
  • (EXLCZ)992670000000340828

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