You will find much useful information about Benoit Mandelbrot,the Mandelbrot set and the Julia set, and fractals in general, through the following resources.

Links

Books

  • Heinz-Otto Peitgen and P. H. Richter, The beauty of fractals : images of complex dynamical systems. A popular and spectacular book. 
  • James Gleick, Chaos : making a new science. A best seller in its day; for the general reader. Available in the public library.
  • Schroeder, Manfred, Fractals, Chaos, Power Laws. This book is fascinating but a bit technical. Also available in the public library.

Other Math Related Sites

  • Clay Institute Millennium Problems (Read about the biggest open problems in Mathematics)
  • Heinz-Otto Peitgen and P. H. Richter, The beauty of fractals : images of complex dynamical systems. A popular and spectacular book. 
  • James Gleick, Chaos : making a new science. A best seller in its day; for the general reader. Available in the public library.
  • Schroeder, Manfred, Fractals, Chaos, Power Laws. This book is fascinating but a bit technical. Also available in the public library.