Favorite field of Math?

MITer94
Sat, 20 Sep 2014 04:02:19 +0000

As a math/CS major, here are my opinions:

Algebra is much more broad than standard high-school algebra. You learn about things like fields, symmetry groups, Galois theory, why you can’t solve quintics in general, etc…

Geometry: most high school curricula teach geometry horribly, and usually restrict proofs to only geometry problems, which is a mistake IMO.

Calculus, linear algebra, and differential equations are pretty interesting and useful (sometimes in unexpected ways).

Number theory and combinatorics are also fun subjects.

I haven’t taken topology, so I can’t really say.