identify basics including principles, operating frequencies and power levels, typical applications.
I suggest that you choose what it is you want to heat, do some research on the best coil type, power level and frequency for that, and then prepare some circuits that might work and show those to us for comment.
Well for induction heating you are going to need high frequency AC current, this means that you are going to need an inverter, my suggestion is either MOSFET or IGBT transistors. Figure out a way to drive the transistors (Oscillator) and you are half way there.