•JohannSebastianBach(1685-1750)wasaGermancomposerandorganist.Bornintoamusicalfamily,Bachreceivedhisearliestinstructionfromhisfather.Afterhisparentsdied,Bachmovedinwithhisoldestbrother.There,hecopied,studiedandperformedmusic,andreceivedvaluableteachingfromhisbrother.PortraitoftheyoungBach•WhileBach'sfameasanorganistwasgreatduringhislifetime,hewasnotparticularlywell-knownasacomposer.Hismusicstylewasconsideredold-fashionedbyhiscontemporaries.ButnowheisregardedasoneofthemaincomposersoftheBaroquestyleandwidelyconsideredtobeoneofthegreatestcomposersintheWesterntradition.Bach'sseal,usedthroughouthisLeipzigyears.BACHFAMILY•TheBachfamilywasofimportanceinthehistoryofmusicfornearlytwohundredyears,withover50knownmusiciansandseveralnotablecomposers,thebest-knownofwhomwasJohannSebastianBach(1685–1750).AfamilygenealogywasdrawnupbyJohannSebastianBachhimselfandcompletedbyhissonCarlPhilippEmanuel.•--------ThegreatmusicfamilyThefamilytree•TheBachfamilyneverleftThuringiauntilthesonsofSebastianwentintoamoremodernworld.JohannSebastianBachandhissonsCarlPhilippEmanuel,JohannChristian,WilhelmFriedemann,andJohannChristophFriedrichJ.SBachandhissonsBach’smusicandmath•Thereisanaturalconnectionbetweenmathematicsandmusic.J.S.BACHcanprovethis.Bach’smusichasmathematicalundertones.scholarshavespentalotoftimestudyingthewayinwhichBachmadeuseofanumberofformalmathematicalpatternswhenhecomposedhismajesticorganfugues.Counterpointisawesternmusicaltraditionwithmultipleconcurrentmelody.ManyofthemostbeautifulexamplesofcanoncanbefoundinthemusicofJ.S.BachThankyou