Fractals: A Very Short Introduction

Paperback | September 13, 2013

byKenneth Falconer

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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and 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, and explores the wide range of applications in science, and in aspects ofeconomics.This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics.

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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer ...

Kenneth Falconer is Professor of Pure Mathematics at St Andrews University. He has published many papers on fractal geometry, and three books on the topic, including Fractal Geometry: Mathematical Foundations and Applications (Wiley-Blackwell).

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Format:PaperbackDimensions:144 pages, 6.85 × 4.37 × 0.68 inPublished:September 13, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199675988

ISBN - 13:9780199675982

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Table of Contents

Preface1. The fractal concept2. Self-similarity3. Fractal dimension4. Julia sets and the Mandelbrot set5. Random walks and Brownian motion6. Fractals in the real world7. A little historyFurther reading