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Paperback or Softback. Zustand: New. Primality Testing in Polynomial Time: From Randomized Algorithms to Primes Is in P. Book.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - On August 6, 2002,a paper with the title 'PRIMES is in P', by M. Agrawal, N. Kayal, and N. Saxena, appeared on the website of the Indian Institute of Technology at Kanpur, India. In this paper it was shown that the 'primality problem'hasa'deterministic algorithm' that runs in 'polynomial time'. Finding out whether a given number n is a prime or not is a problem that was formulated in ancient times, and has caught the interest of mathema- ciansagainandagainfor centuries. Onlyinthe 20thcentury,with theadvent of cryptographic systems that actually used large prime numbers, did it turn out to be of practical importance to be able to distinguish prime numbers and composite numbers of signi cant size. Readily, algorithms were provided that solved the problem very e ciently and satisfactorily for all practical purposes, and provably enjoyed a time bound polynomial in the number of digits needed to write down the input number n. The only drawback of these algorithms is that they use 'randomization' - that means the computer that carries out the algorithm performs random experiments, and there is a slight chance that the outcome might be wrong, or that the running time might not be polynomial. To nd an algorithmthat gets by without rand- ness, solves the problem error-free, and has polynomial running time had been an eminent open problem in complexity theory for decades when the paper by Agrawal, Kayal, and Saxena hit the web.
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Taschenbuch. Zustand: Neu. Primality Testing in Polynomial Time | From Randomized Algorithms to "PRIMES Is in P" | Martin Dietzfelbinger | Taschenbuch | x | Englisch | 2004 | Springer | EAN 9783540403449 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Sprache: Englisch
Verlag: Springer Berlin Heidelberg, 2004
ISBN 10: 3540403442 ISBN 13: 9783540403449
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In den WarenkorbZustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Describes the new deterministic polynomial time primality test (Agrawal/Kayal/Saxena) with complete analysis in a consolidated wayUniv.-Prof. Dr.(USA) Martin Dietzfelbinger (b. 1956) studied Mathematics in Munich and earned his Ph.D. from the .
Sprache: Englisch
Verlag: Springer, Springer Jun 2004, 2004
ISBN 10: 3540403442 ISBN 13: 9783540403449
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -A self-contained treatment of theoretically and practically important efficient algorithms for the primality problem, covering the randomized algorithms by Solovay-Strassen and Miller-Rabin from the late 1970s as well as the recent deterministic algorithm of Agrawal, Kayal, and Saxena. The volume is written for students of computer science, in particular those with a special interest in cryptology, and students of mathematics. The text may be used as a supplement for courses or for self-study.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 164 pp. Englisch.