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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Finite Fields: Theory and Computation
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Finite Fields: Theory and Computation
Igor Shparlinski (Broschiert, Englisch)
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Beschreibung
This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness… we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR. 213,99 €
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Technische Daten
Erscheinungsdatum
07.12.2010
Sprache
Englisch
EAN
9789048152032
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Mathematics and Its Applications
Sonderedition
Nein
Autor
Igor Shparlinski
Seitenanzahl
528
Einbandart
Broschiert
Buch Untertitel
The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography
Schlagwörter
Symbol, algebra, coding theory, computer, computer science, cryptography, finite field, number theory, theoretical computer science
Thema-Inhalt
PBF - Algebra
PBH - Zahlentheorie
PBKS - Numerische Mathematik
UYAM - Mathematik für Informatiker
PBD - Diskrete Mathematik
Höhe
240 mm
Breite
16 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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