What is some advance reference books about alloy that gives a lot historical background and applies a lot of theoretical equation or formulas What is some advance reference books specifically about alloy that gives a lot historical background and applies a lot of theoretical equation or formulas with explanation?

I seem to find nothing really very interesting for myself to learn general theory of alloy while searching the google books because these books is too wordy in detail but too few formula and laboratory skill to support it.
The classic would be Porter and Easterling's "Phase Transformations in Metals and Alloys", apparently still available. This should give you a good basis for understanding the thermodynamics of binary (and higher) systems.  

For a deeper look at how computational thermodynamics is done, like CALPHAD, the Lukas, Fries, and Sundman book "Computational Thermodynamics" might do, but that has zero historical background. 

You might also try asking this in Physics using the materials-science tag.