This book is devoted to the structure of the Mandelbrot set--a remarkable and important feature of modern theoretical physics, related to chaos and fractals and simultaneously to analytical functions, Riemann surfaces, phase transitions and string theory. The Mandelbrot set is one of the bridges connecting the world of chaos and order. The authors restrict consideration to

Presents the domain of consistent non-linear counterparts for different basic objects and tools of linear algebra. This volume develops an adequate calculus for solving non-linear algebraic and differential equations. It uses a diagram technique and incorporates various illustrations.