Abstract
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.
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References
A. M. Gleason, Fundamentals of Abstract Analysis. Reading, Mass.: Addison-Wesley Publishing Co., Inc., 1966.
M. E. Goldstein and B. M. Rosenbaum, “Introduction to Abstract Analysis,” National Aeronautics and Space Administration, Report No. SP-203, Washington, D.C., 1969.
P. R. Halmos, Naive Set Theory. Princeton, N.J.: D. Van Nostrand Company, Inc., 1960.
C. B. Hanneken, Introduction to Abstract Algebra. Belmont, Calif.: Dickenson Publishing Co., Inc., 1968.
F. Hausdorff, Mengenlehre. New York: Dover Publications, Inc., 1944.
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Michel, A.N., Herget, C.J. (2007). Fundamental Concepts. In: Algebra and Analysis for Engineers and Scientists. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4707-0_1
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DOI: https://doi.org/10.1007/978-0-8176-4707-0_1
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4706-3
Online ISBN: 978-0-8176-4707-0
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