Abstract
Let A and B be non-empty sets, and let f be a collection of ordered pairs (x,y), such that
-
(1)
If (x,y) ∈ f, then x ∈ A and y ∈ B, and
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(2)
Each x in A is the first term of one and only one pair (x,y) ∈ f.
Then f is a function, of A into B, and we write f: A → B.
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© 1982 Springer-Verlag New York, Inc.
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Moise, E.E. (1982). Functions, Limits, and Continuity. In: Introductory Problem Courses in Analysis and Topology. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8183-9_3
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DOI: https://doi.org/10.1007/978-1-4613-8183-9_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90701-7
Online ISBN: 978-1-4613-8183-9
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