“The new edition describes recent developments, bearing in mind the rapid spread of the subject, in particular multifractal theory.” (Mathematika, No.50, 2005)
From the Publisher
An accessible introduction to fractals, useful as a text or reference. Part I is concerned with the general theory of fractals and their geometry, covering dimensions and their methods of calculation, plus the local form of fractals and their projections and intersections. Part II contains examples of fractals drawn from a wide variety of areas in mathematics and physics, including self-similar and self-affine sets, graphs of functions, examples from number theory and pure mathematics, dynamical systems, Julia sets, random fractals, and some physical applications. Also contains many diagrams and illustrative examples, includes computer drawings of fractals, and shows how to produce further drawings.
--This text refers to an out of print or unavailable edition of this title.