**Because math is beautiful!**

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### Mathematics is one of the greatest of human discoveries

### Each part of mathematics exhibits its own form of beauty

### Mathematics is an intricate set of interlocking hierarchies

### Mathematics has deep affinities with the arts and humanities

**Because math and stats are useful!**

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### Abstract mathematical ideas have unplanned impact on the world

- Number theory, once thought of as the “most useless” of abstract mathematics, is now the basis of modern cryptography – every time your credit card number or password is transmitted over a secure connection, you’re using number theory.
- Google’s algorithm for ranking search results is an application of linear algebra.
- Persistent homology is a new data analysis tool arising from a branch of mathematics, formerly considered to be one of the most abstract subdisciplines of mathematics.

### Mathematics and statistics provide the quantitative language of the natural and social sciences

**Because you can be wrong! (and right!)**

Mathematics is one of the few human endeavors where there is almost total agreement about what constitutes a correct argument. In our classes, you’ll learn how to construct rigorous arguments, detect flawed arguments, and spot vague and malformed statements.

**Because math is power!**

Providing a solid, appropriate mathematical education to elementary and secondary school children empowers them to lead confident, productive lives. We love helping students who want to teach – it’s a noble calling. If you’re interested, talk to us about particular programs which might be relevant to your interests.

**Because they’re fun!**

- Solving problems is fun. The moment of sudden enlightenment makes the struggle worth it.
- Connecting disparate mathematical ideas is fun. Topology shows up in real analysis, and real analysis in geometry, and geometry in number theory. Mathematics is one discipline, but with many rooms. Discovering which rooms adjoin to which is the adventure of a lifetime.
- Applying mathematical and statistical ideas to the real world is fun. Connecting the abstract to the concrete is what science and the liberal arts, more generally, are all about. It’s fascinating work and a great deal of fun.

Even if you are majoring in something else, taking more math classes may be worthwhile.** Math tends to open doors** which if left closed can be avoided, but when opened offer opportunities which are worth having. In almost any field, (and particularly in medicine, the sciences and economics) more math always gives one an edge over those who have taken less.