Can you provide me historical examples of pure mathematics becoming “useful”?

I am trying to think/know about something, but I don’t know if my base premise is plausible. Here we go.

Sometimes when I’m talking with people about pure mathematics, they usually dismiss it because it has no practical utility, but I guess that according to the history of mathematics, the math that is useful today was once pure mathematics (I’m not so sure but I guess that when the calculus was invented, it hadn’t a practical application).

Also, I guess that the development of pure mathematics is important because it allows us to think about non-intuitive objects before encountering some phenomena that is similar to these mathematical non-intuitive objects, with this in mind can you provide me historical examples of pure mathematics becoming “useful”?

Answer

Here are few such examples

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