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Over the last summer I spent most of July and August reading

__Calculus__by James Stewart and feel that I have a firm understanding of the information presented in the text. I have also read several other books and am currently working on

__An introduction to Quantum Mechanics with Applications to Chemistry__by Linus Pauling and E. Bright Willson Jr., as well as

__The Road to Reality__by Roger Penrose. Last year my high school physics teacher gave me

__Physics__by Giancoli to study from, and I am currently taking Physics concurrently with AP Physics B, the highest physics course offered at my school. In math I am taking an independent study of Algebra 2 for the first semester and an online Advanced Trig. course the second semester.

I understand that many of the topics covered in these courses are important in higher mathematics, but I do not believe that I need this long to learn them. If I follow my current school schedule I will be taking AP Calculus BC, the most advanced mathematics course at my high school, my senior year. I have already learned most of the information covered in this section and would only need a brief refresher to get a firm grasp on the subject. In any spare time I can find outside of school I have continued to study independently. Currently I am learning about Complex Analysis and related mathematical concepts. I have looked into it and found that a few boarding schools offer classes that are this advanced, but I am not enthusiastic about attending one of these. My school is a small public school and has, in the past, offered some support to students that are excelling in their classes. I have been wondering if there was any way that I could take these advanced courses, such as Complex Analysis or possibly Quantum Mechanics, in high school. I have been told that I can take AP tests without actually taking the AP courses, but don't want to risk missing some important concept that is not covered in the books that I read and I am not sure how this looks on a college application.

I have also been wondering if there were any specific books that anyone would recommend for someone who is trying to learn through an independent study. Currently I am scavenging most of my books through resale shops. I found one store that has a large selection of Dover books and was wondering if these would be suitable for my studies. Is there any place I can purchase good text books for low prices?

I would really appreciate any advice that anyone could give me. I am open to any advice or criticism. Thanks for any advice.