By Arkadii Slinko
This booklet examines the connection among arithmetic and knowledge within the sleek global. certainly, sleek societies are awash with information which has to be manipulated in lots of other ways: encrypted, compressed, shared among clients in a prescribed demeanour, shielded from an unauthorised entry and transmitted over unreliable channels. All of those operations may be understood simply by means of someone with wisdom of fundamentals in algebra and quantity theory.
This booklet presents the required historical past in mathematics, polynomials, teams, fields and elliptic curves that's enough to appreciate such real-life functions as cryptography, mystery sharing, error-correcting, fingerprinting and compression of knowledge. it's the first to hide many contemporary advancements in those themes. in accordance with a lecture path given to third-year undergraduates, it truly is self-contained with quite a few labored examples and routines supplied to check knowing. it could actually also be used for self-study.
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Additional info for Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression (Springer Undergraduate Mathematics Series)
Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression (Springer Undergraduate Mathematics Series) by Arkadii Slinko