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## Main Question or Discussion Point

I have finally convinced one of my professors to sponsor an honors research/reading course over the summer, but I need to find a suitable book. I own quite a number of older layperson's books on fractals including the standards by Mandelbrot and Barnsley and even Peitgen/Jürgens/Saupe's Chaos and Fractals. However, I need something much more mathematically advanced than what I own. I'm looking at Barnsley's Superfractals, since it appears to be much more aesthetically appealing (hey, fractals are beautiful), but I'm unsure about whether or not it is as rigorous as something like Falconer's work.

Of course, I really need to use several books, so I guess the real question is, what books should I be looking at? I'm working at an advanced undergraduate level with a firm grasp on analysis and will be starting graduate coursework next fall. In addition to the mathematics, I'm also looking for something to inspire an interesting project.

Of course, I really need to use several books, so I guess the real question is, what books should I be looking at? I'm working at an advanced undergraduate level with a firm grasp on analysis and will be starting graduate coursework next fall. In addition to the mathematics, I'm also looking for something to inspire an interesting project.