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Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

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25

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Applications of complex variables

Many of the exercises in this chapter involve contour integration and the choice of a suitable contour. In order to save the space taken by drawing several broadly similar contours that differ only in notation, the positions of poles, the values of lengths or angles, or other minor details, we make reference to figure 24.1 which shows a number of typical contour types.

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25.1  In the method of complex impedances for a.c. circuits, an inductance L is represented by a complex impedance ZL = iωL and a capacitance ...

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