In this chapter we present fundamental concepts required throughout the remainder of this book. We begin by considering sets in Section 1.1. In Section 1.2 we discuss functions; in Section 1.3 we introduce relations and equivalence relations; and in Section 1.4 we concern ourselves with operations on sets. In Section 1.5 we give a brief indication of the types of mathematical systems which we will consider in this book. The chapter concludes with a brief discussion of references.
KeywordsReal Number Equivalence Relation Proper Subset Fundamental Concept Injective Mapping
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- [1.2]M. E. Goldstein and B. M. Rosenbaum, “Introduction to Abstract Analysis,” National Aeronautics and Space Administration, Report No. SP-203, Washington, D.C., 1969.Google Scholar