Pure mathematics is the study of abstract mathematical structures, such as numbers, sets, and functions. It is not concerned with the practical applications of mathematics. Applied mathematics, on the other hand, is the application of mathematical principles to solve real-world problems.
If you want to go on to study statistics, it would be best to major in mathematics with a concentration in statistics. This would give you a solid foundation in both pure and applied mathematics, which would prepare you for a career in statistics.
Here is a comparison of pure and applied mathematics:
| Pure Mathematics | Applied Mathematics |
|---|---|
| Focuses on abstract mathematical structures | Uses mathematical principles to solve real-world problems |
| Less emphasis on practical applications | More emphasis on practical applications |
| May be more difficult to understand conceptually | May be easier to understand conceptually |
| Can be a good choice for those who are interested in pursuing a career in mathematics research or academia | Can be a good choice for those who are interested in pursuing a career in a field that uses statistics, such as business, economics, psychology, or the natural sciences |
Ultimately, the best choice for you will depend on your individual interests and goals. If you are interested in a career in pure mathematics, then majoring in pure mathematics would be the best choice. If you are interested in a career in applied mathematics or statistics, then majoring in mathematics with a concentration in statistics would be the best choice.