Thisbookisaimedattwokindsofreaders:firstly,peopleworkinginornearmathematics,whoarecuriousaboutcontinuedfractions;andsecondly,seniororgraduatestudentswhowouldlikeanextensiveintroductiontotheanalytictheoryofcontinuedfractions.Thebookcontainsseveralrecentresultsandnewanglesofapproacha