Fractals: A Very Short Introduction

Fractals: A Very Short Introduction

Paperback Very Short Introductions

By (author) Kenneth J. Falconer

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  • Publisher: Oxford University Press
  • Format: Paperback | 152 pages
  • Dimensions: 112mm x 170mm x 12mm | 120g
  • Publication date: 1 December 2013
  • Publication City/Country: Oxford
  • ISBN 10: 0199675988
  • ISBN 13: 9780199675982
  • Illustrations note: 44 black and white illustrations
  • Sales rank: 119,251

Product description

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 of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and 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, and enthusiasm to make interesting and challenging topics highly readable.

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Author information

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).

Review quote

a most enjoyable, 'short read' Institute of Mathematics [A] very well-written introduction to fractals for non-specialists ... Highly recommended. CHOICE

Table of contents

Preface ; 1. The fractal concept ; 2. Self-similarity ; 3. Fractal dimension ; 4. Julia sets and the Mandelbrot set ; 5. Random walks and Brownian motion ; 6. Fractals in the real world ; 7. A little history ; Further reading