I know the basics of C++ by taking a few courses and going through "C++ Primer" by Lippman. As a math graduate student, I would love to get my hands on some programming-math exercises geared towards research. My gear is more towards probability and PDEs. The only interesting one I found so far is

"The Nonlinear Workbook: Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression Programming, Support Vector M " http://www.amazon.ca/Nonlinear-Workbook-Algorithms-Expression-Programming/dp/9812562788/ref=sr_1_3?ie=UTF8&qid=1430325865&sr=8-3&keywords=c%2B%2B+nonlinear

Just by going through the contents it looks like it gives a solid survey (and it also has 150 run programs).

Any suggested workbooks combining C++ and math problems geared towards research?

More specifically,any book in the similar spirit and content as the one I posted.

To prevent this from growing too big, please refrain from posting online resources and books on basic math-programming problems. I am interested in topics such as solving PDEs and simulating Hamiltonian systems, I am not interested in number theory and Euclidean geometry type problems.

Also, let's close it after 5-10 answers.

Thanks

**Update**

I posted it here because I wanted to get input from active researchers. Instead of closing this please put it somewhere (eg. community wiki) where researchers can comment.