Electric Circuits for Mathematicians
This chapter presents the required circuit theory. This low-key review is aimed at the applied mathematician with three goals in mind. First, that all the amplifier functions be carefully defined and accompanied by a physical meaning. Second, that the reader come away with a self-contained, computationally viable understanding of the scattering formalism, its connection with unitary and J-unitary systems, and the various linear-fractional transformations that underlie system theory. Third, after making such an investment of time and effort, the reader is equipped to assay the electrical engineering literature and develop their own circuits for analysis.
KeywordsElectric Circuit Power Gain Impedance Matrix Transmission Zero Admittance Matrix
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