LEADER 03385nam 22006855 450 001 9910299768303321 005 20251113195809.0 010 $a3-319-21951-0 024 7 $a10.1007/978-3-319-21951-6 035 $a(CKB)3710000000467528 035 $a(SSID)ssj0001558435 035 $a(PQKBManifestationID)16183962 035 $a(PQKBTitleCode)TC0001558435 035 $a(PQKBWorkID)14818810 035 $a(PQKB)10692141 035 $a(DE-He213)978-3-319-21951-6 035 $a(MiAaPQ)EBC6313147 035 $a(MiAaPQ)EBC5587311 035 $a(Au-PeEL)EBL5587311 035 $a(OCoLC)919311428 035 $z(PPN)258851147 035 $a(PPN)188461396 035 $a(EXLCZ)993710000000467528 100 $a20150819d2015 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebra for Applications $eCryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression /$fby Arkadii Slinko 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIV, 328 p. 5 illus., 1 illus. in color.) 225 1 $aSpringer Undergraduate Mathematics Series,$x2197-4144 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-319-21950-2 327 $aIntegers -- Cryptology -- Groups -- Fields -- Polynomials -- Secret Sharing -- Error-Correcting Codes -- Compression -- Appendix A: GAP -- Appendix B: Miscellanies -- Solutions to Exercises. 330 $aThis book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study. 410 0$aSpringer Undergraduate Mathematics Series,$x2197-4144 606 $aAlgebra 606 $aComputer science$xMathematics 606 $aDiscrete mathematics 606 $aAlgebra 606 $aMathematical Applications in Computer Science 606 $aDiscrete Mathematics 615 0$aAlgebra. 615 0$aComputer science$xMathematics. 615 0$aDiscrete mathematics. 615 14$aAlgebra. 615 24$aMathematical Applications in Computer Science. 615 24$aDiscrete Mathematics. 676 $a512.9 700 $aSlinko$b A. M$g(Arkadii M.),$4aut$4http://id.loc.gov/vocabulary/relators/aut$0734115 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299768303321 996 $aAlgebra for applications$91522741 997 $aUNINA