Advanced Calculus: MATH 410 Functions and Regularity
نویسنده
چکیده
5.1. Functions. We now turn our attention to the study of real-valued functions that are defined over arbitrary nonempty subsets of R. The subset of R over which such a function f is defined is called the domain of f , and is denoted Dom(f). We will write f : Dom(f) → R to indicate that f maps Dom(f) into R. For every x ∈ Dom(f) the function f associates the value f(x). The range of f is defined by
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