Our class doesn't use a textbook and our professor doesn't give out much notes. Just handouts with problems on it. So I wanted a textbook to accompany my studies but don't know which is the best/rigorious general chemistry textbook.
Seconded. I purchased Pauling's book for self-study and it worked out great.Linus Pauling's "General Chemistry" is the standard old school book. It's cheap and not unnecessarily big, your back will not suffer from carrying it around unlike most other books.
Covers 3 semesters worth of freshman-level chemistry theory and would be good for a high school student too.