Functional equations with one variable
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In this chapter, we consider functional equations involving a single variable. We have already considered these equations in Chapter 1, in the work of Charles Babbage. It is now time to examine some of these equations in greater detail. We begin by considering a useful technique known as linearization, which Babbage used to solve for iterative roots. After that, we look at some examples of conjugacy equations, which also arise from attempts to linearize functions.
KeywordsContinuous Function Functional Equation Limit Point Continuous Solution Basic Family
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