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Math Major wants to become a Software Engineer [closed]

I am a math major, what would be the best field of computer science/computer engineering for me to go into, where I could apply my skills that I used as a math major(i.e. Linear Algebra, Real ...
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How do I transition from physics and math to programming?

I'm a physics PhD with little actual programming experience. I've always liked programming and played around with BASIC, Pascal as a teen, but the extent of my experience writing complex programs ...