02482nam 2200553 a 450 991079258710332120231205041749.01-282-54025-497866125402570-08-054709-5(CKB)2670000000019542(EBL)535185(OCoLC)635293554(SSID)ssj0000416649(PQKBManifestationID)11288930(PQKBTitleCode)TC0000416649(PQKBWorkID)10436004(PQKB)10615028(MiAaPQ)EBC535185(Au-PeEL)EBL535185(CaPaEBR)ebr10382853(CaONFJC)MIL254025(EXLCZ)99267000000001954220070309d2007 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierElementary number theory with applications /Thomas KoshySecond edition.Amsterdam :Academic Press,[2007]1 online resource (801 pages)Errata slip inserted.0-12-372487-2 Includes bibliographical references and index.Fundamentals -- Divisibility -- Greatest common divisors -- Congruences -- Congruence applications -- Systems of linear congruences -- Three classical milestones -- Multiplicative functions -- Cryptology -- Primitive roots and indices -- Quadratic congruences -- Continued fractions -- Miscellaneous nonlinear diophantine equations.This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the tNumber theoryNumber theory.512.7Koshy Thomas601527MiAaPQMiAaPQMiAaPQBOOK9910792587103321Elementary number theory with applications3697342UNINA