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But engineers just let computers do all the maths!
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I think you’ll find that the line between “computer scientist” and “software engineer” is rather blurred.
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Software engineers*. Computer scientists are concerned with the math behind computing and are mostly found in academia. Software engineers generally have a foundational knowledge of computer science they combine with software engineering principles to create robust software. Generally software engineers do have computer science degrees though.
They share a similar relationship as engineers and physicists.
