Can someone recommend the simplest circuit for temperature
measurement with a passive thermistor. I also need the theory
and the mathematics. I recall that I need two clibration points
and two variable resistors.
The simplest would probably just be a voltage divider with the
thermistor as the lower (ground side) resistor. A starting point would
be to use an upper (Vcc side) resistor that's around 1/2 the nominal
value of the thermistor, giving you a voltage range from about 2/3 of
Vcc down towards ground as the thermistor heats up.
Measure the voltage, calculate the thermistor resistance as
Rt = R1 * Vm / (Vcc - Vm). Look up or calculate the temperature as a
function of the resistance. That can range from a simple linear
approximation, to a two- or three-segment linear approximation, all the
way up to a Steinhart-Hart approximation (google for it).