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Guide to Essential Math, 2nd Edition by Sy M. Blinder

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Chapter 14

Complex Variables

A deeper understanding of functional analysis, even principles involving real functions of real variables, can be attained if the functions and variables are extended into the complex plane. Figure 14.1 shows schematically how a functional relationship image can be represented by a mapping of the z-plane, with image, into the w-plane, with image.

Figure 14.1 Mapping of the functional relation . If the function is analytic, then the mapping ...

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