what is the use of [pure] science?

and mathematics?
OK - what is the use of Music? I can see no material benefit out of it. So why do people spend so much time listening to it?
1. It brings happiness
2. It fills time in nice way
3. It is really beautiful and sublime
4. It helps to attract mates, if you have [or pretend to have] musical talent

Well, Mathematics and science [physics and biology - not bogus science like psychology, social science] brings these benefits in a much higher level and plane except probably 4). But atleast in today's knowledge economy any modern mathematician can get a job [say as software engineer] and perform better than most of those professionals. So even 4) is true but in a non obvious way through the money it brings.
But forgetting 4), it serves first three in a much better way and in a much higher level.
1. I jumped for joy, when I learned integral calculus, because now I had a way to calculate the length any curve [not easy to integrate it even for simple cases like Ellipse though:)] , area of figure and volume of an object - That one of the time I was most happy in my life.
2. It takes a lot of time to learn Mathematics and physics. Try learning things like Complex numbers, Topology, relativity.
3. Euler's theorem of e^ix= cosx+isinx - isn't this beautiful? it connects things which look so unrelated. what has sides of right triangles have to do with power of something? That to complex power.
or look at maxwell's derivation of c - speed of light purely from constants of coulumb's law and ampere's law. That is simply too beautiful.

And over and above, that is the only useful pursuit in the ultimate sense. Everything [useful] else is done for money and what is the point of money when I die? If Darwin's theory of evolution was not there [and Prof. Dawkins' selfish gene], I would still have been hurting my head doing sujud to a non existent entity following a 7th century liar [or mad?], trying to find meaning of life in Bullshit called Qur'an.
So before someone says science and mathematics is waste of time, say that a trillion times to Music and then you can say that a trillions times again to Music and then ...