An electromagnetic bioimpedance measurement apparatus uses an alternating magnetic field to induce electrical eddy currents in biological tissue. The eddy currents produce secondary magnetic fields that have the effect of changing the mutual inductance between the tissue and the coil that applied to the initial magnetic field. The amplitude of the resultant voltage, as measured by the same coil or a different receiver coil, is proportional to the conductivity of the tissue. A simple, marginally stable oscillator circuit is used to generate the current into the coil. Nearfield holographic signal processing is then used for holographic image formation. Bioimpedance is used to distinguish between normal tissue and cancerous tissue, especially cancerous prostate tissue. An invasive embodiment includes driven needle electrodes that are inserted into the body segment to be tested. Noninvasive embodiments include single or multiple coils arranged on a probe shaft.