000			03407nam a22004335i 4500
001			978-0-387-26998-6
003			DE-He213
005			20250710083937.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387269986 _a99780387269986
024	7		_a10.1007/b138452 _2doi
082	0	4	_a512.7 _223
100	1		_aMurty, M. Ram. _eauthor.
245	1	0	_aProblems in Algebraic Number Theory _h[recurso electrónico] / _cby M. Ram Murty, Jody Esmonde.
250			_aSecond Edition.
264		1	_aNew York, NY : _bSpringer New York, _c2005.
300			_aXVI, 352 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v190
505	0		_aProblems -- Elementary Number Theory -- Euclidean Rings -- Algebraic Numbers and Integers -- Integral Bases -- Dedekind Domains -- The Ideal Class Group -- Quadratic Reciprocity -- The Structure of Units -- Higher Reciprocity Laws -- Analytic Methods -- Density Theorems -- Solutions -- Elementary Number Theory -- Euclidean Rings -- Algebraic Numbers and Integers -- Integral Bases -- Dedekind Domains -- The Ideal Class Group -- Quadratic Reciprocity -- The Structure of Units -- Higher Reciprocity Laws -- Analytic Methods -- Density Theorems.
520			_aFrom Reviews of the First Edition: This book provides a problem-oriented first course in algebraic number theory. ... The authors have done a fine job in collecting and arranging the problems. Working through them, with or without help from a teacher, will surely be a most efficient way of learning the theory. Many of the problems are fairly standard, but there are also problems of a more original type. This makes the book a useful supplementary text for anyone studying or teaching the subject. ... This book deserves many readers and users. - T. Metsänkylä , Mathematical Reviews The book covers topics ranging from elementary number theory (such as the unique factorization of integers or Fermat's little theorem) to Dirichlet's theorem about primes in arithmetic progressions and his class number formula for quadratic fields, and it treats standard material such as Dedekind domains, integral bases, the decomposition of primes not dividing the index, the class group, the Minkowski bound and Dirichlet's unit theorem ... the reviewer is certain that many students will benefit from this pathway into the fascinating realm of algebraic number theory. - Franz Lemmermeyer, Zentralblatt This second edition is an expanded and revised version of the first edition. In particular, it contains an extra chapter on density theorems and $L$-functions highlighting some of the analytic aspects of algebraic number theory.
650		0	_aMATHEMATICS.
650		0	_aNUMBER THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aNUMBER THEORY.
700	1		_aEsmonde, Jody. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387221823
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v190
856	4	0	_uhttp://dx.doi.org/10.1007/b138452 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56605 _d56605