Thistextbookprovidesanintroductiontomodernanalysisaimedatadvancedundergraduateandgraduate-levelstudentsofmathematics.Professionalacademicswillalsofindthistobeausefulreferencework.Itcoversmeasuretheory,basicfunctionalanalysis,singleoperatortheory,spectraltheoryofboundedandunboundedoperators,semigroupsofoperators,andBanachalgebras.Further,thisneweditionofthetextbookalsodelvesdeeperintoC*-algebrasandtheirstandardconstructions,vonNeumannalgebras,probabilityandmathematicalstatistics,andpartialdifferentialequations.Mostchapterscontainrelativelyadvancedtopicsalongsidesimplerones,startingfromtheverybasicsofmodernanalysisandslowlyadvancingtomoreinvolvedtopics.Thetextissupplementedbymanyexercises,toallowreaderstotesttheirunderstandingandpracticalanalysisskills.
