Well, the title is books that influence me (the post author). But I would agree, seems there are some missing gems. If I had to list my top it would start with: Numerical recipes, TAOCP, the dragon book (compilers), genetic programming by koza, the C programming language by K&P, the unix programming environment also by K&P, Programming pearls by Bentley and finally a stack of math books that are not really unique by name but are used often (statistics, linear algebra, etc).
However, the aforementioned books are influential to me since I code and do research building classification systems. If work involved high energy particle physics I think the set of gems would be very different, though I am sure some overlap would exist.
Perhaps the definition of "me" in use is much more limited than my take.
I think you're defining "me" to mean "in my chosen profession/hobby/main interest". That's fair.
For myself, however, "me" is defined as everything that I am, do, can become and have been. Of that, only a subset of interests and influence would be books about programming and such.
It's possible that we are in fact using the same definition of "me", in which case I find it intriguing that your list is as narrow as it is.
Not a judgement at all, just an observation of difference.