My favorite temperature measuring system is the AD537 voltage to frequency 
converter.  It has an on-chip temp sensor or it can be used with an external 
thermistor.  The chip is usually found in a TO5 can,  so the on-chip sensor has 
a fairly high thermal mass.  Thermistors can provide a near instantaneous 
response if you use a small enough device (you can get thermistors that are 
nearly microscopic in size).  You can easily get microdegree resolution with 
hardware any time nut has.  

The biggest problem is calibrating it if you need absolute accuracy.   You 
could do a comparison with the 2804A.  Or a three point calibration at the 
triple points of ice and gallium along with boiling water (compensated for air 
prerssure, etc)...  but then triple point cells are not in most pepole's bag 'o 
tricks...
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