The best part of mathematics is learning how to reduce something into a solved instance of something else. Recognizing when things are the same in abstract. Ver

The best part of mathematics is learning how to reduce something into a solved instance of something else. Recognizing when things are the same in abstract. Very hard to do. As for the question. In english we have many words for those people who work on buildings and even cars because both go back thousands or hundreds of years each. So we have janitors, masons, carpenters, plumbers, architects and civil engineers. Each word clearly delineating a different expertise and scope. Cars are newer so we have mechanics, automotive engineers and mechanical engineers. No one asks if the mechanical engineer or the mechanic needs math. The answer is obvious and contained in the Words. Electricity is from about the same time as cars and it too has electricians and electrical engineers. Not as many as houses but no doubt with more variations than common vocabulary implies. Software has words like programmers, computer scientist and software engineer that are overly broad, ambiguous and interchanged indiscriminately. Leading to arguments about what really should be tautologies. I expect in time there will be terms like plumber, detective, architect, scientist, archaeologist and engineer for software and they will all mean something. And the subject will no longer be new and such questions will no longer be asked. EDIT: I'd also like to chime in for it depends. If you are building a CRUD website it depends. For example: It depends on if you want to A/B Test your site in a non cargo cult manner. It is important if you want to compare A/B Test to multi armed bandits within a general framework. In general, you can only know not enough math.