Finite-Dimensional Linear Analysis A Systematic

Thisremarkablebookdevelopsthesubjectoflinearalgebrainanovelfashion.Alogicallyinterconnectedsequenceofpropositionsandproblems—some2，400inall—appearswithoutproofs.Assistedonlybyhintsandpointers，studentsmustworkoutformalproofssystematically，proceedingfromsimpleverificationstorelativelyadvancedstrategiesandtechniquesofproof.
Thisvolumealsopresentsinsightsintofunctionalanalysis，whichmaybeformulatedaslinearanalysiswithoutaninfinitedimensionalframework.Asstudentsallowtheirconsiderationofthepropositionstomovetowardthelimitingcaseofunrestricteddimensionality，theywillfindthattheirconceptualoutlookapproachesthatwhichissuitabletofunctionalanalysis.Inthisregard，thebookrepresentsanintroductiontothelattersubject，freeofthedifficultiesinherentintheexplicitadmissionofinfinities.
Basedonthepropositionthatthebestwaytolearnmathematicsistodomathematics，thisapproachwillappealtostronglymotivatedstudents.Itcanalsobeusedasaresourceforindependentstudyandincooperativeseminars，aswellasinconventionaladvancedundergraduateandgraduatecourses.