LEADER 03322nam 2200661Ia 450 001 9910818338603321 005 20200520144314.0 010 $a1-107-14885-5 010 $a0-511-79126-7 010 $a0-511-16609-5 010 $a0-511-16414-9 010 $a0-511-56680-8 010 $a0-511-16494-7 035 $a(CKB)1000000000353177 035 $a(EBL)257606 035 $a(OCoLC)437165582 035 $a(SSID)ssj0000183095 035 $a(PQKBManifestationID)11156631 035 $a(PQKBTitleCode)TC0000183095 035 $a(PQKBWorkID)10172432 035 $a(PQKB)10399682 035 $a(UkCbUP)CR9780511791260 035 $a(Au-PeEL)EBL257606 035 $a(CaPaEBR)ebr10120486 035 $a(OCoLC)560115628 035 $a(MiAaPQ)EBC257606 035 $a(PPN)261337815 035 $a(EXLCZ)991000000000353177 100 $a20030415d2004 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroductory algebraic number theory /$fSaban Alaca, Kenneth S. Williams 205 $a1st ed. 210 $aCambridge ;$aNew York $cCambridge University Press$d2004 215 $a1 online resource (xvii, 428 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-54011-9 311 $a0-521-83250-0 320 $aIncludes bibliographical references (p. 423-424) and index. 327 $aIntegral domains -- Euclidean domains -- Noetherian domains -- Elements integral over a domain -- Algebraic extensions of a field -- Algebraic number fields -- Integral bases -- Dedekind domains -- Norms of ideals -- Decomposing primes in a number field -- Units in real quadratic fields -- The ideal class group -- Dirichlet's unit theorem -- Applications to diophantine equations. 330 $aAlgebraic number theory is a subject which came into being through the attempts of mathematicians to try to prove Fermat's last theorem and which now has a wealth of applications to diophantine equations, cryptography, factoring, primality testing and public-key cryptosystems. This book provides an introduction to the subject suitable for senior undergraduates and beginning graduate students in mathematics. The material is presented in a straightforward, clear and elementary fashion, and the approach is hands on, with an explicit computational flavour. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested reading and to the biographies of mathematicians who have contributed to the development of algebraic number theory are given at the end of each chapter. There are over 320 exercises, an extensive index, and helpful location guides to theorems and lemmas in the text. 606 $aAlgebraic number theory 606 $aNumber theory 615 0$aAlgebraic number theory. 615 0$aNumber theory. 676 $a512/.74 700 $aAlaca$b Saban$f1964-$0621886 701 $aWilliams$b Kenneth S$055215 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910818338603321 996 $aIntroductory algebraic number theory$91424454 997 $aUNINA