Numerical methods and C++

I sometimes have to use C++. What I'm curious about is numerical methods code for C++. Functions for finding zeroes or fixed points of functions, or numerical integration or differentiation, typically take as a parameter (a pointer to) the function being integrated, differentiated, or whatever. Here comes the fun part: what if that function is a member function?

You can't pass a pointer to a member function to something wanting a plain old pointer to function. The C++ FAQ section 33.2 answers the question "How do I pass a pointer-to-member-function to a signal handler, X event callback, system call that starts a thread/task, etc?" with the one word "Don't", followed by a hack to give the effect involving a function that returns the result of calling the member function via a global pointer to an object of the appropriate class that you have to assign to. Note the use of the "G word" there--so you can kiss the hack goodbye if multiple threads try it.

Googling "numerical methods in C++" turns up a fair number of book titles. I hesitate to buy a C++ book for the same reason I scrupulously avoid buying Microsoft products, but I may have to make an exception.

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