Hi, I am an experienced software engineer (~14 yrs C++) with MechE background (but never had a job there) and want to get into scientific computing. For first 3 years I did stuff vaguely scicomp but then slipped into pure SW. What would be a good introductory book? (Due to my Engg education, I am familiar with Numerical methods so I seek an advanced introductory book, if that makes sense.)
To be clear, I am not looking for 'recipes' kind of books. I want something more theoretical, though having code in C/C++/Fortran won't hurt. (I want native code, so code in Python, R etc won't help me.)
FYI, I have had 'computational mathematics' by Mir publishers Moscow (in English) for a long time. I want something like that but more recent.
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