Category
Applied
Description
The Mandelbrot set is a fractal in the complex plane. Its boundary is chaotic, and very difficult to determine completely. In recent years, mathematicians have put considerable effort into understanding the Mandelbrot set, since understanding the Mandelbrot set would give insight into how fractals and chaos work in general. However, very little research has been conducted into the Mandelbrot set in abstract algebras. This research will categorize some of these algebras and compute the Mandelbrot set in them.
Exploring the Mandelbrot Set in Real Algebras
Applied
The Mandelbrot set is a fractal in the complex plane. Its boundary is chaotic, and very difficult to determine completely. In recent years, mathematicians have put considerable effort into understanding the Mandelbrot set, since understanding the Mandelbrot set would give insight into how fractals and chaos work in general. However, very little research has been conducted into the Mandelbrot set in abstract algebras. This research will categorize some of these algebras and compute the Mandelbrot set in them.
