By Norman R Reilly
This upper-level undergraduate textbook offers a contemporary view of algebra with a watch to new functions that experience arisen in recent times. A rigorous creation to uncomplicated quantity idea, earrings, fields, polynomial conception, teams, algebraic geometry and elliptic curves prepares scholars for exploring their functional purposes relating to storing, securing, retrieving and speaking info within the digital global. it's going to function a textbook for an undergraduate path in algebra with a robust emphasis on functions. The publication bargains a quick creation to uncomplicated quantity conception in addition to a pretty entire dialogue of significant algebraic platforms (such as jewelry, fields, and teams) with a view in their use in bar coding, public key cryptosystems, error-correcting codes, counting options, and elliptic key cryptography. this is often the one access point textual content for algebraic platforms that comes with an in depth advent to elliptic curves, a subject matter that has leaped to prominence because of its value within the resolution of Fermat's final Theorem and its incorporation into the speedily increasing functions of elliptic curve cryptography in shrewdpermanent playing cards. desktop technology scholars will get pleasure from the powerful emphasis at the concept of polynomials, algebraic geometry and Groebner bases. the combo of a rigorous advent to summary algebra with an intensive assurance of its purposes makes this booklet actually distinct.
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