"Just then, with a wink and a sly normal lurch, The owl very gravely got down from his perch, Walked round, and regarded his fault-finding critic (Who thought he was stuffed) with a glance analytic."

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Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter is indispensable even for a proper appreciation of the behavior of the function for real arguments. It is therefore essential that the original determination of the function concept be broadened to a domain of magnitudes which includes both the real and the imaginary quantities, on an equal footing, under the single designation complex numbers.

— Carl Friedrich Gauss