Curves and Fractal Dimension

Download or read book Curves and Fractal Dimension written by Claude Tricot and published by Springer Science & Business Media. This book was released on 1994-11-18 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories, aggregate contours, geographical coastlines, profiles of rough surfaces, and other curves of finite and fractal length. The approach is by way of precise definitions from which properties are deduced and applications and computational methods are derived. Written without the traditional heavy symbolism of mathematics texts, this book requires two years of calculus while also containing material appropriate for graduate coursework in curve analysis and/or fractal dimension.