Abstract Algebra and Solution by Radicals

Thisadvancedundergraduate-leveltextwasrecommendedforteachereducationbyTheAmericanMathematicalMonthlyandpraisedasa"mostreadablebook."AnidealintroductiontogroupsandGaloistheory,itprovidesstudentswithanappreciationofabstractionandarbitrarypostulationalsystems,ideasthatarecentraltoautomation.Theauthorstakethealgebraicequationandthediscoveryoftheinsolubilityofthequinticastheirtheme.Startingwithtreatmentsofgroups,rings,fields,andpolynomials,theyadvancetoGaloistheory,radicalsandrootsofunity,andsolutionbyradicals.Thirteenappendixessupplementthisvolume,alongwithnumerousexamples,illustrations,commentaries,andexercises.Studentswhohavecompletedafirst-yearcollegecourseinalgebraorcalculuswillfinditanaccessibleandwell-writtentreatment.