Basic Algebra I：Second Edition

Aclassictextandstandardreferenceforageneration,thisvolumeanditscompanionaretheworkofanexpertalgebraistwhotaughtatYalefortwodecades.NathanJacobson'sbookspossessaconceptualandtheoreticalorientation,andinadditiontotheirvalueasclassroomtexts,theyserveasvaluablereferences.VolumeIexploresallofthetopicstypicallycoveredinundergraduatecourses,includingtherudimentsofsettheory,grouptheory,rings,modules,Galoistheory,polynomials,linearalgebra,andassociativealgebra.ItscomprehensivetreatmentextendstosuchrigoroustopicsasLieandJordanalgebras,lattices,andBooleanalgebras.Exercisesappearthroughoutthetext,alongwithinsightful,carefullyexplainedproofs.VolumeIIcomprisesallsubjectscustomarytoafirst-yeargraduatecourseinalgebra,anditrevisitsmanytopicsfromVolumeIwithgreaterdepthandsophistication.