内容简介
Writtenbyadistinguishedmathematicianandteacher,thisundergraduatetextusesacombinatorialapproachtoaccommodatebothmathmajorsandliberalartsstudents.Inadditiontocoveringthebasicsofnumbertheory,itoffersanoutstandingintroductiontopartitions,pluschaptersonmultiplicativity-divisibility,quadraticcongruences,additivity,andmore.
作者简介
TheHolyGrailofNumberTheoryGeorgeE.Andrews,EvanPughProfessorofMathematicsatPennsylvaniaStateUniversity,authorofthewell-establishedtextNumberTheory(firstpublishedbySaundersin1971andreprintedbyDoverin1994),hasledanactivecareerdiscoveringfascinatingphenomenainhischosenfield—numbertheory.Perhapshisgreatestdiscovery,however,wasnotsolelyoneintheintellectualrealmbutinthephysicalworldaswell.In1975,onavisittoTrinityCollegeinCambridgetostudythepapersofthelatemathematicianGeorgeN.Watson,AndrewsfoundwhatturnedouttobeoneoftheactualHolyGrailsofnumbertheory,thedocumentthatbecameknownasthe"LostNotebook"ofthegreatIndianmathematicianSrinivasaRamanujan.IthappenedthatthepreviouslyunknownnotebookthusdiscoveredincludedanimmenseamountofRamanujan'soriginalworkbearingononeofAndrews'mainmathematicalpreoccupations—mockthetafunctions.CollaboratingwithcolleagueBruceC.BerndtoftheUniversityofIllinoisatUrbana-Champaign,Andrewshassincepublishedthefirsttwoofaplannedthree-volumesequencebasedonRamanujan'sLostNotebook,andwillseetheprojectcompletedwiththeappearanceofthethirdvolumeinthenextfewyears.IntheAuthor'sOwnWords:"Itseemstomethatthere'sthisgrandmathematicalworldoutthere,andIamwanderingthroughitanddiscoveringfascinatingphenomenathatoftentotallysurpriseme.Idonotthinkofmathematicsasinventedbutratherdiscovered."—GeorgeE.Andrews,,
