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The Resource A Concise Introduction to Mathematical Logic, by Wolfgang Rautenberg, (electronic resource)
A Concise Introduction to Mathematical Logic, by Wolfgang Rautenberg, (electronic resource)
Resource Information
The item A Concise Introduction to Mathematical Logic, by Wolfgang Rautenberg, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Concise Introduction to Mathematical Logic, by Wolfgang Rautenberg, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several subareas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several wellknown textbooks on mathematical logic, this book is unique in that it is more concise than most others; the material is treated in a streamlined fashion. This allows the lecturer to select the material for a onesemester course on a topic more easily. Although the book is intended for use as a graduate text, the first three chapters could be understood by undergraduates interested in mathematical logic. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. Chapter 3 is partly of a descriptive nature, providing a view towards decision problems, automated theorem proving, nonstandard models and related subjects. The other chapters contain material on logic programming for computer scientists, model theory, recursion theory, Gödel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed where appropriate. The author has provided exercises for each section, as well as hints or even complete solutions to most exercises at the end of the book. From the foreword, written by Lev Beklemishev: "...a wellwritten introduction to this beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Gödel’s incompleteness theorems, as well as some topics motivated by applications, such as a chapter on logic programming. The author has taken great care to make the exposition readable and concise."
 Language

 eng
 eng
 Edition
 2.
 Extent
 1 online resource (272 p.)
 Note
 Description based upon print version of record
 Contents

 Propositional Logic
 Predicate Logic
 Gödel’s Completeness Theorem
 The Foundations of Logic Programming
 Elements of Model Theory
 Incompleteness and Undecidability
 On the Theory of SelfReference
 Isbn
 9780387342412
 Label
 A Concise Introduction to Mathematical Logic
 Title
 A Concise Introduction to Mathematical Logic
 Statement of responsibility
 by Wolfgang Rautenberg
 Language

 eng
 eng
 Summary
 Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several subareas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several wellknown textbooks on mathematical logic, this book is unique in that it is more concise than most others; the material is treated in a streamlined fashion. This allows the lecturer to select the material for a onesemester course on a topic more easily. Although the book is intended for use as a graduate text, the first three chapters could be understood by undergraduates interested in mathematical logic. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. Chapter 3 is partly of a descriptive nature, providing a view towards decision problems, automated theorem proving, nonstandard models and related subjects. The other chapters contain material on logic programming for computer scientists, model theory, recursion theory, Gödel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed where appropriate. The author has provided exercises for each section, as well as hints or even complete solutions to most exercises at the end of the book. From the foreword, written by Lev Beklemishev: "...a wellwritten introduction to this beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Gödel’s incompleteness theorems, as well as some topics motivated by applications, such as a chapter on logic programming. The author has taken great care to make the exposition readable and concise."
 http://library.link/vocab/creatorName
 Rautenberg, Wolfgang
 Dewey number
 519
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 QGBxv4k2QaA
 Language note
 English
 LC call number
 T5757.97
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Logic, Symbolic and mathematical
 Computer science
 Applications of Mathematics
 Mathematical Logic and Foundations
 Computational Science and Engineering
 Label
 A Concise Introduction to Mathematical Logic, by Wolfgang Rautenberg, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 241246) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Propositional Logic  Predicate Logic  Gödel’s Completeness Theorem  The Foundations of Logic Programming  Elements of Model Theory  Incompleteness and Undecidability  On the Theory of SelfReference
 Dimensions
 unknown
 Edition
 2.
 Extent
 1 online resource (272 p.)
 Form of item
 online
 Isbn
 9780387342412
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/0387342419
 Specific material designation
 remote
 System control number

 (CKB)1000000000282698
 (EBL)3062222
 (SSID)ssj0000316965
 (PQKBManifestationID)11225858
 (PQKBTitleCode)TC0000316965
 (PQKBWorkID)10288393
 (PQKB)10441722
 (DEHe213)9780387342412
 (MiAaPQ)EBC3062222
 (EXLCZ)991000000000282698
 Label
 A Concise Introduction to Mathematical Logic, by Wolfgang Rautenberg, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 241246) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Propositional Logic  Predicate Logic  Gödel’s Completeness Theorem  The Foundations of Logic Programming  Elements of Model Theory  Incompleteness and Undecidability  On the Theory of SelfReference
 Dimensions
 unknown
 Edition
 2.
 Extent
 1 online resource (272 p.)
 Form of item
 online
 Isbn
 9780387342412
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/0387342419
 Specific material designation
 remote
 System control number

 (CKB)1000000000282698
 (EBL)3062222
 (SSID)ssj0000316965
 (PQKBManifestationID)11225858
 (PQKBTitleCode)TC0000316965
 (PQKBWorkID)10288393
 (PQKB)10441722
 (DEHe213)9780387342412
 (MiAaPQ)EBC3062222
 (EXLCZ)991000000000282698
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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AConciseIntroductiontoMathematicalLogicby/P76krgG3a2I/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AConciseIntroductiontoMathematicalLogicby/P76krgG3a2I/">A Concise Introduction to Mathematical Logic, by Wolfgang Rautenberg, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>