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Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups

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Title: Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups
Description: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups
Authors: Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf
Resource Type: eBook.
Subjects: Ordered algebraic structures--Textbooks, Algorithms--Textbooks, Computer science--Textbooks--Mathematics, Cryptography--Textbooks
Categories: MATHEMATICS / Discrete Mathematics, COMPUTERS / Computer Science, COMPUTERS / Information Theory, COMPUTERS / Programming / Algorithms, MATHEMATICS / Number Theory, MATHEMATICS / Combinatorics
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-epub
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1243248
RelevancyScore: 1070
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1070.4580078125
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  Data: Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups
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  Label: Description
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  Data: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups
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  Data: <searchLink fieldCode="AR" term="%22Volker+Diekert%22">Volker Diekert</searchLink><br /><searchLink fieldCode="AR" term="%22Manfred+Kufleitner%22">Manfred Kufleitner</searchLink><br /><searchLink fieldCode="AR" term="%22Gerhard+Rosenberger%22">Gerhard Rosenberger</searchLink><br /><searchLink fieldCode="AR" term="%22Ulrich+Hertrampf%22">Ulrich Hertrampf</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Discrete+Mathematics%22">MATHEMATICS / Discrete Mathematics</searchLink><br /><searchLink fieldCode="ZK" term="%22COMPUTERS+%2F+Computer+Science%22">COMPUTERS / Computer Science</searchLink><br /><searchLink fieldCode="ZK" term="%22COMPUTERS+%2F+Information+Theory%22">COMPUTERS / Information Theory</searchLink><br /><searchLink fieldCode="ZK" term="%22COMPUTERS+%2F+Programming+%2F+Algorithms%22">COMPUTERS / Programming / Algorithms</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Number+Theory%22">MATHEMATICS / Number Theory</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Combinatorics%22">MATHEMATICS / Combinatorics</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 510
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Ordered algebraic structures--Textbooks
        Type: general
      – SubjectFull: Algorithms--Textbooks
        Type: general
      – SubjectFull: Computer science--Textbooks--Mathematics
        Type: general
      – SubjectFull: Cryptography--Textbooks
        Type: general
    Titles:
      – TitleFull: Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Volker Diekert
      – PersonEntity:
          Name:
            NameFull: Manfred Kufleitner
      – PersonEntity:
          Name:
            NameFull: Gerhard Rosenberger
      – PersonEntity:
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            NameFull: Ulrich Hertrampf
      – PersonEntity:
          Name:
            NameFull: Volker Diekert
      – PersonEntity:
          Name:
            NameFull: Manfred Kufleitner
      – PersonEntity:
          Name:
            NameFull: Gerhard Rosenberger
      – PersonEntity:
          Name:
            NameFull: Ulrich Hertrampf
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 27
              M: 03
              Type: profile
              Y: 2017
          Identifiers:
            – Type: isbn-print
              Value: 9783110413328
            – Type: isbn-electronic
              Value: 9783110413335
            – Type: isbn-electronic
              Value: 9783110416329
          Titles:
            – TitleFull: Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups
              Type: main
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