000			03124nam a22004335i 4500
001			978-0-387-89486-7
003			DE-He213
005			20251006084430.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387894867
020			_a99780387894867
024	7		_a10.1007/978-0-387-89486-7 _2doi
082	0	4	_a512.7 _223
100	1		_aCoppel, W.A. _eauthor.
245	1	0	_aNumber Theory _h[electronic resource] : _bAn Introduction to Mathematics / _cby W.A. Coppel.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_aXIII, 610p. 17 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aThe Expanding Universe of Numbers -- Divisibility -- More on Divisibility -- Continued Fractions and Their Uses -- Hadamard's Determinant Problem -- Hensel's -adic Numbers -- The Arithmetic of Quadratic Forms -- The Geometry of Numbers -- The Number of Prime Numbers -- A Character Study -- Uniform Distribution and Ergodic Theory -- Elliptic Functions -- Connections with Number Theory.
520			_a"Number Theory" is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included. The book is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. Part B contains, for example, complete proofs of the Hasse-Minkowski theorem and the prime number theorem, as well as self-contained accounts of the character theory of finite groups and the theory of elliptic functions. The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study. From the reviews: "This is a book which many mathematicians could enjoy browsing, and one which a good undergraduate could be encouraged to read to learn something of the interconnections, which exist between apparently disparate parts of mathematics." -Canadian Mathematical Society "As a source for information on the 'reach' of number theory into other areas of mathematics, it is an excellent work." -Mathematical Association of America
650		0	_aMATHEMATICS.
650		0	_aNUMBER THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aNUMBER THEORY.
650	2	4	_aMATHEMATICS, GENERAL.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387894850
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-89486-7 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59446 _d59446