Before embarking on a serious study of a new subject, the intellectually prudent student will want to know why the subject is studied and what it relates to. Let us say that he accepts on faith the assurance that integration is significant, not only as a vital tool in analysis and as the culmination of the calculus, but also as an intrinsically beautiful and complete theory, in which elements of geometry and algebra, as well as analysis, are merged. Even so, his understanding of the subject will proceed more rapidly if he has some definite, if general, knowledge of what sort of thing it is and how it is related to the subjects he is already familiar with and if he sees why it has aroused such interest.
KeywordsEuclidean Space Measure Space Symmetric Difference Countable Additivity Boolean Ring
Unable to display preview. Download preview PDF.