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2005, ISBN: 9780387252827

ID: 673936151

Prime 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.´´ ´´...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 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. It is also a timely book, since primes and factoring have reached a certain vogue, partly because of cryptography. The final chapter focusses on ´´applications´´ of prime numbers, incorporating the mathematics of finance, via quasi-Monte Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 04.08.2005 Buch (fremdspr.), Springer, .200

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ISBN: 9780387252827

ID: 703765935

Prime 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.´´ ´´...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 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. It is also a timely book, since primes and factoring have reached a certain vogue, partly because of cryptography. The final chapter focusses on ´´applications´´ of prime numbers, incorporating the mathematics of finance, via quasi-Monte Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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ISBN: 9780387252827

ID: 264889

In the new edition of this highly successful book, Richard Crandall and Carl Pomerance have provided updated material on theoretical, computational, and algorithmic fronts, including the striking new "AKS" test for recognizing prime numbers. Other examples: new computational results on the Riemann hypothesis, a very new and superfast pure-binary algorithm for the greatest common divisor, and new forms of the fast Fourier transform. The authors also list many new computational records and survey new developments in the theory of prime numbers, including the proof that there are arbitrarily long arithmetic progressions of primes and the proof that 8 and 9 are the only consecutive powers. Numerous exercises have also been added. About the first edition: "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 Mathematics Mathematics eBook, Springer New York

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ISBN: 0387252827

ID: 7645757

Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field algorithms,computer science,computers and technology,functional analysis,math,mathematics,number theory,programming,programming languages,pure mathematics Programming Languages, Springer

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2005, ISBN: 0387252827

ID: A4135402

2nd ed. Gebundene Ausgabe Primzahl, Zahlentheorie, MATHEMATICS / Number Theory, mit Schutzumschlag neu, [PU:Springer-Verlag GmbH; Springer New York]

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** Details of the book - Prime Numbers**

EAN (ISBN-13): 9780387252827

ISBN (ISBN-10): 0387252827

Hardcover

Paperback

Publishing year: 2005

Publisher: Springer-Verlag GmbH

597 Pages

Weight: 1,075 kg

Language: eng/Englisch

Book in our database since 04.02.2007 13:38:57

Book found last time on 15.07.2017 19:07:58

ISBN/EAN: 0387252827

ISBN - alternate spelling:

0-387-25282-7, 978-0-387-25282-7

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