By Arkadii Slinko
This booklet examines the connection among arithmetic and knowledge within the smooth global. certainly, smooth societies are awash with info which needs to be manipulated in lots of alternative ways: encrypted, compressed, shared among clients in a prescribed demeanour, protected against an unauthorised entry and transmitted over unreliable channels. All of those operations might be understood purely through anyone with wisdom of fundamentals in algebra and quantity theory.
This booklet presents the mandatory historical past in mathematics, polynomials, teams, fields and elliptic curves that's adequate 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 subject matters. in line with a lecture direction given to third-year undergraduates, it's self-contained with a number of labored examples and routines supplied to check realizing. it could possibly also be used for self-study.
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Extra resources 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