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Finite Fields: Theory and Computation : The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography: 477 (Mathematics and Its Applications) - Tapa dura

 
9780792356622: Finite Fields: Theory and Computation : The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography: 477 (Mathematics and Its Applications)
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Críticas:
`...the book can yet be highly recommended as encyclopaedia on these topics, in particular because many Russian papers are incorporated which are hardly accessible.'
Monatschafte für Mathematik, 132:1 (2001)
Reseña del editor:
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.

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  • EditorialSpringer
  • Año de publicación1999
  • ISBN 10 0792356624
  • ISBN 13 9780792356622
  • EncuadernaciónTapa dura
  • Número de páginas544
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9789048152032: Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography: 477 (Mathematics and Its Applications)

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Descripción Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 point. Nº de ref. del artículo: 5968820

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Descripción Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 544 pp. Englisch. Nº de ref. del artículo: 9780792356622

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Descripción Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9780792356622

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Descripción Condición: New. Provides a survey of the achievements in the theory and applications of finite fields and in many related areas such as algebraic number theory, theoretical computer science, coding theory and cryptography. This book includes topics such as polynomial factorization over finite fields and constructing special bases of extensions of finite fields. Series: Mathematics and its Applications. Num Pages: 528 pages, biography. BIC Classification: PBF; PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 30. Weight in Grams: 934. . 1999. 1999th Edition. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9780792356622

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Descripción Condición: New. Provides a survey of the achievements in the theory and applications of finite fields and in many related areas such as algebraic number theory, theoretical computer science, coding theory and cryptography. This book includes topics such as polynomial factorization over finite fields and constructing special bases of extensions of finite fields. Series: Mathematics and its Applications. Num Pages: 528 pages, biography. BIC Classification: PBF; PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 30. Weight in Grams: 934. . 1999. 1999th Edition. Hardcover. . . . . Nº de ref. del artículo: V9780792356622

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