Do all the subjects in mathematics have applications?

Answer 1

Not at this time. What's more, it's likely that for many specific sub-areas of mathematics, there never will be real-world applications. This is because there may never be discovered aspects of the real world that they happen to model particularly well.

G. H. Hardy's book "A Mathematician's Apology" is the most famous discussion of this point. Nothing has happened in the century (rounding up) since it was written to undermine his basic arguments.

However, if you ran a poll of knowledgeable mathematicians and asked them to guess which areas of mathematics wouldn't have applications 50 or 100 years in the future, they would NOT get it entirely right. Indeed, I'm not totally sure whether the theorem in my own PhD thesis will ever have practical application. (It's an alternate proof of the Mertens-Neyman Theorem. They got it a few months before I did, and hence quite rightly have their names on it.)

Answer 2

Yes. But there are also some you don't really have to apply in daily life, like the graphs of functions, functions and so on. These are only applied by scientists.

Answer 3

s of course everything as applications but v r not exposed to tat

Answer 4

i guess, yes.