Thefirsteditionofthisbookwaspublishedin1980.Manysignificantchangesweremadeforthesecondedition(1986),mostnotablytheexercisesetsweregreatlyexpandedandthelineartransformationschapterofthebookwascompletelyrevised.EachofthefollowingeditionshasseensignificantmodificationsincludingtheadditionofcomprehensivesetsofMATLABcomputerexercises,adramaticincreaseinthenumberofapplications,andmanyrevisionsinthevarioussectionsofthebook.Ihavebeenfortunatetohavehadoutstandingreviewersandtheirsuggestionshaveledtomanyimportantimprovementsinthebook.ForthenintheditionwehavegivenspecialattentiontoChapter7asitistheonlychapterthathasnotseenmajorrevisionsinanyofthepreviouseditions.Thefollowingisanoutlineofthemostsignificantrevisionsthatweremadefortheninthedition.
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