The Resource Class Field Theory, by Nancy Childress, (electronic resource)

Class Field Theory, by Nancy Childress, (electronic resource)

Label
Class Field Theory
Title
Class Field Theory
Statement of responsibility
by Nancy Childress
Creator
Author
Author
Subject
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 self-study. The book has been class-tested, and the author has included exercises throughout the text. Professor Nancy Childress is a member of the Mathematics Faculty at Arizona State University
Member of
Is Subseries of
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
QA247-QA247.45
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)
Instantiates
Publication
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
10.1007/978-0-387-72490-4
Specific material designation
remote
System control number
  • (CKB)1000000000546233
  • (EBL)417705
  • (OCoLC)662258305
  • (SSID)ssj0000122947
  • (PQKBManifestationID)11132431
  • (PQKBTitleCode)TC0000122947
  • (PQKBWorkID)10130997
  • (PQKB)10209318
  • (DE-He213)978-0-387-72490-4
  • (MiAaPQ)EBC417705
  • (EXLCZ)991000000000546233
Label
Class Field Theory, by Nancy Childress, (electronic resource)
Publication
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
10.1007/978-0-387-72490-4
Specific material designation
remote
System control number
  • (CKB)1000000000546233
  • (EBL)417705
  • (OCoLC)662258305
  • (SSID)ssj0000122947
  • (PQKBManifestationID)11132431
  • (PQKBTitleCode)TC0000122947
  • (PQKBWorkID)10130997
  • (PQKB)10209318
  • (DE-He213)978-0-387-72490-4
  • (MiAaPQ)EBC417705
  • (EXLCZ)991000000000546233

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