000			03947nam a22004095i 4500
001			978-0-387-28979-3
003			DE-He213
005			20250710083943.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387289793 _a99780387289793
024	7		_a10.1007/0-387-28979-8 _2doi
082	0	4	_a512.7 _223
100	1		_aCrandall, Richard. _eauthor.
245	1	0	_aPrime Numbers _h[recurso electrónico] : _bA Computational Perspective / _cby Richard Crandall, Carl Pomerance.
250			_aSecond Edition.
264		1	_aNew York, NY : _bSpringer New York, _c2005.
300			_aXVI, 597 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPrimes! -- Number-Theoretical Tools -- Recognizing Primes and Composites -- Primality Proving -- Exponential Factoring Algorithms -- Subexponential Factoring Algorithms -- Elliptic Curve Arithmetic -- The Ubiquity of Prime Numbers -- Fast Algorithms for Large-Integer Arithmetic.
520			_aPrime numbers beckon to the beginner, as the basic notion of primality is accessible even to children. Yet, some of the simplest questions about primes have confounded humankind for millennia. In the new edition of this highly successful book, Richard Crandall and Carl Pomerance have provided updated material on theoretical, computational, and algorithmic fronts. New results discussed include the AKS test for recognizing primes, computational evidence for the Riemann hypothesis, a fast binary algorithm for the greatest common divisor, nonuniform fast Fourier transforms, and more. The authors also list new computational records and survey new developments in the theory of prime numbers, including the magnificent proof that there are arbitrarily long arithmetic progressions of primes, and the final resolution of the Catalan problem. Numerous exercises have been added. Richard Crandall currently holds the title of Apple Distinguished Scientist, having previously been Apple's Chief Cryptographer, the Chief Scientist at NeXT, Inc., and recipient of the Vollum Chair of Science at Reed College. Though he publishes in quantum physics, biology, mathematics, and chemistry, and holds various engineering patents, his primary interest is interdisciplinary scientific computation. Carl Pomerance is the recipient of the Chauvenet and Conant Prizes for expository mathematical writing. He is currently a mathematics professor at Dartmouth College, having previously been at the University of Georgia and Bell Labs. A popular lecturer, he is well known for his research in computational number theory, his efforts having produced important algorithms now in use. From the reviews of the first edition: "Destined to become a definitive textbook conveying the most modern computational ideas about prime numbers and factoring, this book will stand as an excellent reference for this kind of computation, and thus be of interest to both educators and researchers." <- L'Enseignement Mathématique "...Prime Numbers is a welcome addition to the literature of number theory---comprehensive, up-to-date and written with style." - American Scientist "It's rare to say this of a math book, but open Prime Numbers to a random page and it's hard to put down. Crandall and Pomerance have written a terrific book." - Bulletin of the AMS
650		0	_aMATHEMATICS.
650		0	_aNUMBER THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aNUMBER THEORY.
700	1		_aPomerance, Carl. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387252827
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-28979-8 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56900 _d56900