Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book.
However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Frontiers of Chaos.- Special Sections.- 1 Verhulst Dynamics.- 2 Julia Sets and Their Computergraphical Generation.- 3 Sullivan's Classification of Critical Points.- 4 The Mandelbrot Set.- 5 External Angles and Hubbard Trees.- 6 Newton's Method for Complex Polynomials: Cayley's Problem.- 7 Newton's Method for Real Equations.- 8 A Discrete Volterra-Lotka System.- Magnetism and Complex Boundaries.- Special Sections.- 9 Yang-Lee Zeros.- 10 Renormalization.- References.- Invited Contributions.- Fractals and the Rebirth of Iteration Theory.- Julia Sets and the Mandelbrot Set.- Freedom, Science, and Aesthetics.- Refractions of Science into Art.- Do it Yourself.- Documentation.