The book focusses on the geometrical aspects of fractal growth. It is divided into three main parts. The first is an introduction to fractals and related concepts, the second is concerned with cluster growth models and the third with fractal pattern formation in the growth of unstable interfaces dominated by surface tension.
The first part contains the basic definitions and a number of examples. Fractal measures are discussed. Finally, methods for determining fractal dimensions, including renormalization, are given. The second part on cluster growth models begins with stochastic local growth models, including processes of percolation, gelation and models based on random walks. Further, there are sections on diffusion limited growth, self- affine surfaces and cluster-cluster aggregation. The last part of the book covers various computer simulations and experiments on interfacial pattern formation. These include diffusion-limited aggregation, viscous fingering (e.g., Hele-Shaw cells), crystallization, electrochemical deposition, dielectric breakdown and chemical dissolution of a porous medium.
The book is an introduction to the subject directed to a non-mathematical reader. It is mathematically non-technical, but, prior knowledge in measure and probability theory is helpful for a better understanding of the more heuristic theoretical treatment of the topic.