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020 _a9780387724904
_99780387724904
024 7 _a10.1007/9780387724904
_2doi
035 _avtls000332264
039 9 _a201509030221
_bVLOAD
_c201404122103
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
100 1 _aChildress, Nancy.
_eautor
_9304667
245 1 0 _aClass Field Theory /
_cby Nancy Childress.
264 1 _aNew York, NY :
_bSpringer New York,
_c2009.
300 _ax, 226 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aUniversitext
500 _aSpringer eBooks
505 0 _aA Brief Review -- Dirichlet’s Theorem on Primes in Arithmetic Progressions -- Ray Class Groups -- The Idèlic Theory -- Artin Reciprocity -- The Existence Theorem, Consequences and Applications -- Local Class Field Theory.
520 _aClass 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387724898
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-72490-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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