Why do I get sweaty so quickly?

I am 14 years old and I sweat way too easily. I am not overweight. I am 5'3 and 112 pounds and I always sweat. During the previous winter of 2010-2011, I had to wear short sleeved t-shirts everyday to school. Whenever I would wear long sleeved shirts, I would get sweaty in a matter of hours (and sometimes less than an hour), even on days that I did not have gym class. Even when I wore a hoodie, I could never wear a shirt underneath it because it would make me sweaty. In fact, I would keep dry wash cloths in my back pack so that after gym class I could dry my soaked arm pits. My mom would yell at me that all the long sleeved shirts she bought me were wasted because I would never wear them and she won't accept the fact that I sweat uncontrollably. A few hours ago, I took a shower. Then I went downstairs into the basement and played the drums for ten minutes. After playing the drums, I am sweating enough that I can smell myself and it is awful. Is something wrong with me? I actually sweated from WALKING around the track at my high school in about 60 degrees fahrenheit. Is something wrong with me? Just note that I am white; my friends who are hispanic tend to sweat very quickly as well. Why does this happen to me? None of my other friends sweat like I do? Will this ever stop? Yes, I do wear deodorant/antiperspirant. Should I see a doctor about this, or is it just another phase of puberty?