"What makes the math sciences so central? As Galileo put it, "The great book of nature can be read only by those who know the language in which it was written. And that language is mathematics." Math is the way to understand all sorts of things in the world around us. But only about 1 in 100 undergraduate degrees in this country is given in math and statistics and only a small portion of the population has any facility with that mathematical language Galileo spoke about.
I want to emphasize that you don't have to become a professional mathematician or researcher to make an impact with the math you have learned. Wherever you go, whatever you do, you will surely be confronting problems. With math you learn to be a better problem solver. You learn to think logically, to reduce complicated situations to their essentials, to emphasize the relations between things over nonessential details of the things themselves, to abstract, to generalize. Cultivate this kind of thinking in yourself. Apply it whenever you can. Continue to develop it. Seek out important problems and think mathematically about them. Just because the people around you do not approach a problem logically, quantitatively, or mathematically--and most probably won't--should not stop you from doing so. To the contrary, as the mathematician in a team you bring something special. So my advice to you is simply: do the math and make an impact! " Doug Arnold