Kindly write the names of the books that I should start reading from scratch IN ORDER so that I can get the most out of those books in minimum time about MFE programs.
I'd recommend reading through the free guides first, particularly "What do quant do ? A guide by Mark Joshi" and "Paul & Dominic's Guide to Quant Careers" to get a flavor of what you would want to do, then you can draw out a picture of what you want to explore more before purchasing books on those topics. You can preview the first few pages of most of those books on Amazon (usually the Prefaces) to get an idea about the subject matter of a book before buying.
Also, there's this: 'P' Versus 'Q': Differences and Commonalities between the Two Areas of Quantitative Finance (there's a QuantNet thread for it but the link has bitten the dust).