| 000 | 02520nam a22004215i 4500 | ||
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| 001 | 978-0-387-72490-4 | ||
| 003 | DE-He213 | ||
| 005 | 20250710084015.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110402s2009 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387724904 _a99780387724904 |
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| 024 | 7 |
_a10.1007/978-0-387-72490-4 _2doi |
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| 100 | 1 |
_aChildress, Nancy. _eauthor. |
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| 245 | 1 | 0 |
_aClass Field Theory _h[recurso electrónico] / _cby Nancy Childress. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2009. |
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| 300 |
_aX, 226 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_arecurso en línea _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 | _aUniversitext | |
| 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. | ||
| 650 | 0 | _aMATHEMATICS. | |
| 650 | 0 | _aFIELD THEORY (PHYSICS). | |
| 650 | 0 | _aNUMBER THEORY. | |
| 650 | 1 | 4 | _aMATHEMATICS. |
| 650 | 2 | 4 | _aFIELD THEORY AND POLYNOMIALS. |
| 650 | 2 | 4 | _aNUMBER THEORY. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387724898 |
| 830 | 0 | _aUniversitext | |
| 856 | 4 | 0 |
_uhttp://dx.doi.org/10.1007/978-0-387-72490-4 _zVer el texto completo en las instalaciones del CICY |
| 912 | _aZDB-2-SMA | ||
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_c58363 _d58363 |
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