Algebra and Analysis I'm a math major at university and my tutor told me that for most people it's best to focus on either algebra or analysis, however I have trouble understanding the difference between them.
What are the actual differences between algebra and analysis, and how do I tell which is for me?

At an elementary level, algebra has shorter proofs; and sometimes a formula says all, whereas in geometry or topology a picture can say a lot. At a higher level, these areas begin to merge. For example, algebraic number theory very often uses analytic tools (see the "analytic class number formula", to give an example), and this holds for several other areas of modern mathematics.
