Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (electronic resource)
A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (electronic resource)
Resource Information
The item A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (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 Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (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
 A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Gödel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic. The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text present a complete proof of the theorem of Davis–Putnam–Robinson–Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated. Part III establishes the essential equivalence of proof theory and computation theory and gives applications such as Gödel's theorem on the length of proofs. A new Chapter IX, written by Yuri Manin, treats, among other things, a categorical approach to the theory of computation, quantum computation, and the P/NP problem. A new Chapter X, written by Boris Zilber, contains basic results of model theory and its applications to mainstream mathematics. This theory has found deep applications in algebraic and diophantine geometry. Yuri Ivanovich Manin is Professor Emeritus at MaxPlanckInstitute for Mathematics in Bonn, Germany, Board of Trustees Professor at the Northwestern University, Evanston, IL, USA, and Principal Researcher at the Steklov Institute of Mathematics, Moscow, Russia. Boris Zilber, Professor of Mathematical Logic at the University of Oxford, has contributed the Model Theory Chapter for the second edition
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (388 p.)
 Note
 Description based upon print version of record
 Contents

 PROVABILITY
 to Formal Languages
 Truth and Deducibility
 The Continuum Problem and Forcing
 The Continuum Problem and Constructible Sets
 COMPUTABILITY
 Recursive Functions and Church#x2019;s Thesis
 Diophantine Sets and Algorithmic Undecidability
 PROVABILITY AND COMPUTABILITY
 G#x00F6;del#x2019;s Incompleteness Theorem
 Recursive Groups
 Constructive Universe and Computation
 MODEL THEORY
 Model Theory
 Isbn
 9786613569103
 Label
 A Course in Mathematical Logic for Mathematicians
 Title
 A Course in Mathematical Logic for Mathematicians
 Statement of responsibility
 by Yu. I. Manin
 Language

 eng
 eng
 Summary
 A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Gödel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic. The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses numbertheoretic connections. The text present a complete proof of the theorem of Davis–Putnam–Robinson–Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated. Part III establishes the essential equivalence of proof theory and computation theory and gives applications such as Gödel's theorem on the length of proofs. A new Chapter IX, written by Yuri Manin, treats, among other things, a categorical approach to the theory of computation, quantum computation, and the P/NP problem. A new Chapter X, written by Boris Zilber, contains basic results of model theory and its applications to mainstream mathematics. This theory has found deep applications in algebraic and diophantine geometry. Yuri Ivanovich Manin is Professor Emeritus at MaxPlanckInstitute for Mathematics in Bonn, Germany, Board of Trustees Professor at the Northwestern University, Evanston, IL, USA, and Principal Researcher at the Steklov Institute of Mathematics, Moscow, Russia. Boris Zilber, Professor of Mathematical Logic at the University of Oxford, has contributed the Model Theory Chapter for the second edition
 http://library.link/vocab/creatorName
 Manin, Yu. I
 Dewey number
 511.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 SCaSFFCmQzs
 Language note
 English
 LC call number
 QA8.910.3
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Graduate Texts in Mathematics,
 Series volume
 53
 http://library.link/vocab/subjectName

 Logic, Symbolic and mathematical
 Logic
 Mathematical Logic and Foundations
 Logic
 Label
 A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 PROVABILITY  to Formal Languages  Truth and Deducibility  The Continuum Problem and Forcing  The Continuum Problem and Constructible Sets  COMPUTABILITY  Recursive Functions and Church#x2019;s Thesis  Diophantine Sets and Algorithmic Undecidability  PROVABILITY AND COMPUTABILITY  G#x00F6;del#x2019;s Incompleteness Theorem  Recursive Groups  Constructive Universe and Computation  MODEL THEORY  Model Theory
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (388 p.)
 Form of item
 online
 Isbn
 9786613569103
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781441906151
 Specific material designation
 remote
 System control number

 (CKB)2510000000006513
 (EBL)3064847
 (SSID)ssj0000769153
 (PQKBManifestationID)12352299
 (PQKBTitleCode)TC0000769153
 (PQKBWorkID)10767718
 (PQKB)10813068
 (DEHe213)9781441906151
 (MiAaPQ)EBC3064847
 (EXLCZ)992510000000006513
 Label
 A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 PROVABILITY  to Formal Languages  Truth and Deducibility  The Continuum Problem and Forcing  The Continuum Problem and Constructible Sets  COMPUTABILITY  Recursive Functions and Church#x2019;s Thesis  Diophantine Sets and Algorithmic Undecidability  PROVABILITY AND COMPUTABILITY  G#x00F6;del#x2019;s Incompleteness Theorem  Recursive Groups  Constructive Universe and Computation  MODEL THEORY  Model Theory
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (388 p.)
 Form of item
 online
 Isbn
 9786613569103
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781441906151
 Specific material designation
 remote
 System control number

 (CKB)2510000000006513
 (EBL)3064847
 (SSID)ssj0000769153
 (PQKBManifestationID)12352299
 (PQKBTitleCode)TC0000769153
 (PQKBWorkID)10767718
 (PQKB)10813068
 (DEHe213)9781441906151
 (MiAaPQ)EBC3064847
 (EXLCZ)992510000000006513
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

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
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/ACourseinMathematicalLogicfor/qoi_6ubW7As/" 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/ACourseinMathematicalLogicfor/qoi_6ubW7As/">A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (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>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/ACourseinMathematicalLogicfor/qoi_6ubW7As/" 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/ACourseinMathematicalLogicfor/qoi_6ubW7As/">A Course in Mathematical Logic for Mathematicians, by Yu. I. Manin, (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>