000 03159nam a22003735i 4500
001 280790
003 MX-SnUAN
005 20160429154038.0
007 cr nn 008mamaa
008 150903s2007 xxu| o |||| 0|eng d
020 _a9780817645410
_99780817645410
024 7 _a10.1007/9780817645410
_2doi
035 _avtls000333543
039 9 _a201509030802
_bVLOAD
_c201404130446
_dVLOAD
_c201404092235
_dVLOAD
_y201402041113
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA241-247.5
100 1 _aFine, Benjamin.
_eautor
_9305971
245 1 0 _aNumber Theory :
_bAn Introduction via the Distribution of Primes /
_cby Benjamin Fine, Gerhard Rosenberger.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2007.
300 _axiii, 342 páginas 12 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aand Historical Remarks -- Basic Number Theory -- The Infinitude of Primes -- The Density of Primes -- Primality Testing: An Overview -- Primes and Algebraic Number Theory.
520 _aThis book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Key Topics and Features: * Solid introduction to analytic number theory, including full proofs of Dirichlet’s Theorem and the Prime Number Theorem * Solid treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of ideals * First treatment in book form of the AKS algorithm that shows that primality testing is of polynomial time * Many interesting side topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers The book’s user-friendly style, historical context, and wide range of exercises from simple to quite difficult (with solutions and hints provided for select ones) make it ideal for self study as well as classroom use. Intended for upper level undergraduates and beginning graduate students, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. All necessary concepts from abstract algebra and complex analysis are introduced in the book.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aRosenberger, Gerhard.
_eautor
_9305972
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780817644727
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4541-0
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c280790
_d280790