ThisbookdevelopedoutofasetoflecturenoteswhichIbeganpreparinginthefallof1970foracourseonsplinefunctionsattheUniversityofTexasatAustin.Thematerial,whichIhavebeenreworkingeversince~wasexpandedandrevisedseveraltimesforlatercoursesattheMathematicsResearchCenterinMadison,theUnivers