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Books > Science & Mathematics > Mathematics > Algebra
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Introduction to Modern Algebra and Its Applications (Paperback)
Loot Price: R2,159
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Introduction to Modern Algebra and Its Applications (Paperback)
Expected to ship within 12 - 19 working days
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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 Groebner
basis. Key Features: Covers all major topics of classical theory of
modern abstract algebra such as groups, rings and fields and their
applications. In addition it provides the introduction to the
number theory, theory of finite fields, finite dimensional algebras
and their applications. Provides interesting and important modern
applications in such subjects as Cryptography, Coding Theory,
Computer Science and Physics. Presents numerous examples
illustrating the theory and applications. It is also filled with a
number of exercises of various difficulty. Describes in detail the
construction of the Cayley-Dickson construction for finite
dimensional algebras, in particular, algebras of quaternions and
octonions and gives their applications in the number theory and
computer graphics.
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