Many are familiar with the beauty & ubiquity of fractal forms within nature Unlike the study of smooth forms such as spheres fractal geometry describes more familiar shapes & patterns such as the complex contours of coastlines the outlines of clouds & the branching of trees In this Very Short Introduction Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century presents the 'new geometry' of fractals explains the basic concepts & explores the wide range of applications in science & in aspects of economics This is essential introductory reading for students of mathematics & science & those interested in popular science & mathematics ABOUT THE SERIES The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area These pocket-sized books are the perfect way to get ahead in a new subject quickly Our expert authors combine facts analysis perspective new ideas & enthusiasm to make interesting & challenging topics highly readable