Seeking Advice for High School Capstone

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nanddalal
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I am going to be a senior in high school this upcoming 2011-2012 school year. I have finished AP Physics C, AP Chemistry, and AP Calculus BC. I refuse to take AP Biology, so I decided to take up a capstone project. My capstone is going to revolve around special relativity and possibly some introductory computational physics. I need to make this capstone last for a full school year. I was wondering how I should go about studying these two subject areas. What books should I use for special relativity? What specifically should I cover in special relativity? What math should I study to be able to even "DO" special relativity. And how should I start learning about computational physics?

Any advice is greatly appreciated!
 
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I seriously think that there are a lot more cooler ideas then special relativity. I'm sure you'll get bored of it after a month. I suggest that you look at some quantum mechanics both for the interest and integrity of yourself and of your final product.