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The Resource Class Field Theory, by Nancy Childress, (electronic resource)
Class Field Theory, by Nancy Childress, (electronic resource)
Resource Information
The item Class Field Theory, by Nancy Childress, (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 Class Field Theory, by Nancy Childress, (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
 Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Chebotarev density theorem) apply even to nonabelian extensions. This book is an accessible introduction to class field theory. It takes a traditional approach in that it presents the global material first, using some of the original techniques of proof, but in a fashion that is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in selfstudy. The book has been classtested, and the author has included exercises throughout the text. Professor Nancy Childress is a member of the Mathematics Faculty at Arizona State University
 Language

 eng
 eng
 Edition
 1st ed. 2009.
 Extent
 1 online resource (229 p.)
 Note
 Description based upon print version of record
 Contents

 A Brief Review
 Dirichlet#x2019;s Theorem on Primes in Arithmetic Progressions
 Ray Class Groups
 The Id#x00E8;lic Theory
 Artin Reciprocity
 The Existence Theorem, Consequences and Applications
 Local Class Field Theory
 Isbn
 9780387724904
 Label
 Class Field Theory
 Title
 Class Field Theory
 Statement of responsibility
 by Nancy Childress
 Language

 eng
 eng
 Summary
 Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Chebotarev density theorem) apply even to nonabelian extensions. This book is an accessible introduction to class field theory. It takes a traditional approach in that it presents the global material first, using some of the original techniques of proof, but in a fashion that is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in selfstudy. The book has been classtested, and the author has included exercises throughout the text. Professor Nancy Childress is a member of the Mathematics Faculty at Arizona State University
 http://library.link/vocab/creatorName
 Childress, Nancy
 Dewey number

 512.3
 512.74
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 hEZkQ9doHi4
 Language note
 English
 LC call number
 QA247QA247.45
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Field theory (Physics)
 Number theory
 Field Theory and Polynomials
 Number Theory
 Label
 Class Field Theory, by Nancy Childress, (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
 A Brief Review  Dirichlet#x2019;s Theorem on Primes in Arithmetic Progressions  Ray Class Groups  The Id#x00E8;lic Theory  Artin Reciprocity  The Existence Theorem, Consequences and Applications  Local Class Field Theory
 Dimensions
 unknown
 Edition
 1st ed. 2009.
 Extent
 1 online resource (229 p.)
 Form of item
 online
 Isbn
 9780387724904
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387724904
 Specific material designation
 remote
 System control number

 (CKB)1000000000546233
 (EBL)417705
 (OCoLC)662258305
 (SSID)ssj0000122947
 (PQKBManifestationID)11132431
 (PQKBTitleCode)TC0000122947
 (PQKBWorkID)10130997
 (PQKB)10209318
 (DEHe213)9780387724904
 (MiAaPQ)EBC417705
 (EXLCZ)991000000000546233
 Label
 Class Field Theory, by Nancy Childress, (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
 A Brief Review  Dirichlet#x2019;s Theorem on Primes in Arithmetic Progressions  Ray Class Groups  The Id#x00E8;lic Theory  Artin Reciprocity  The Existence Theorem, Consequences and Applications  Local Class Field Theory
 Dimensions
 unknown
 Edition
 1st ed. 2009.
 Extent
 1 online resource (229 p.)
 Form of item
 online
 Isbn
 9780387724904
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387724904
 Specific material designation
 remote
 System control number

 (CKB)1000000000546233
 (EBL)417705
 (OCoLC)662258305
 (SSID)ssj0000122947
 (PQKBManifestationID)11132431
 (PQKBTitleCode)TC0000122947
 (PQKBWorkID)10130997
 (PQKB)10209318
 (DEHe213)9780387724904
 (MiAaPQ)EBC417705
 (EXLCZ)991000000000546233
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
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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/ClassFieldTheorybyNancyChildress/k2PA1Mkedk/" 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/ClassFieldTheorybyNancyChildress/k2PA1Mkedk/">Class Field Theory, by Nancy Childress, (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>