LEADER 02533nam 22004572 450 001 9910832977203321 005 20160211114118.0 010 $a0-511-81454-2 035 $a(CKB)3710000000347554 035 $a(SSID)ssj0001423308 035 $a(PQKBManifestationID)12618023 035 $a(PQKBTitleCode)TC0001423308 035 $a(PQKBWorkID)11433660 035 $a(PQKB)11467570 035 $a(UkCbUP)CR9780511814549 035 $a(PPN)261288016 035 $a(EXLCZ)993710000000347554 100 $a20101018d2009|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA computational introduction to number theory and algebra /$fVictor Shoup$b[electronic resource] 205 $aSecond edition. 210 1$aCambridge :$cCambridge University Press,$d2009. 215 $a1 online resource (xvii, 580 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-51644-7 330 $aNumber theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students. 517 3 $aA Computational Introduction to Number Theory & Algebra 606 $aNumber theory$xData processing 615 0$aNumber theory$xData processing. 676 $a004.0151 700 $aShoup$b Victor$0725699 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910832977203321 996 $aComputational introduction to number theory and algebra$91424445 997 $aUNINA