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Introduction to modern algebra and its applications

By: Gubareni, NadiyaMaterial type: TextTextPublication details: Boca Raton : CRC Press, 2021. Description: x, 384 pages : illustrations ; 25 cmISBN: 9780367820916Subject(s): Algebra, Abstract -- TextbooksDDC classification: 512 Online resources: Table of content | Reviews Summary: The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger’s algorithm which is one of the important algorithms for constructing Gröbner basis.
List(s) this item appears in: Mathematics
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Includes bibliographical references and index.

The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger’s algorithm which is one of the important algorithms for constructing Gröbner basis.

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