Books written by Lennart Carleson.
For his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems, Lennart Carleson was given the Abel Prize in 2006.
Complex Dynamics
A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. The book ends in a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings.