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Books > Science & Mathematics > Mathematics > Algebra
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Introduction to Applied Algebraic Systems (Hardcover)
Loot Price: R3,665
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Introduction to Applied Algebraic Systems (Hardcover)
Expected to ship within 12 - 17 working days
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This upper-level undergraduate textbook provides a modern view of
algebra with an eye to new applications that have arisen in recent
years. A rigorous introduction to basic number theory, rings,
fields, polynomial theory, groups, algebraic geometry and elliptic
curves prepares students for exploring their practical applications
related to storing, securing, retrieving and communicating
information in the electronic world. It will serve as a textbook
for an undergraduate course in algebra with a strong emphasis on
applications. The book offers a brief introduction to elementary
number theory as well as a fairly complete discussion of major
algebraic systems (such as rings, fields, and groups) with a view
of their use in bar coding, public key cryptosystems,
error-correcting codes, counting techniques, and elliptic key
cryptography. This is the only entry level text for algebraic
systems that includes an extensive introduction to elliptic curves,
a topic that has leaped to prominence due to its importance in the
solution of Fermat's Last Theorem and its incorporation into the
rapidly expanding applications of elliptic curve cryptography in
smart cards. Computer science students will appreciate the strong
emphasis on the theory of polynomials, algebraic geometry and
Groebner bases. The combination of a rigorous introduction to
abstract algebra with a thorough coverage of its applications makes
this book truly unique.
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