Good man....
Have you no calculus though?- my (admittedly limited) knowledge of IK is that it's differential equations. I guess you can get some off-the-shelf algorithms at least, without necessarily having a deep understanding of the calculus? Then implement those in code....
While you're researching the math, also learn to program the Arduino. There are two servo tutorials on this site, here and here, which will get you going. But get something like Blink going first 8)