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Fractals: A Very Short Introduction

Kenneth Falconer

September 2013

ISBN: 9780199675982

152 pages
Paperback
174x111mm

In Stock

Very Short Introductions

Price: £8.99

From the contours of coastlines to the outlines of clouds, fractal shapes can be found regularly in nature. This Very Short Introduction explains the basic concepts, presents the 'new geometry' of fractals, explores its wide range of applications, and shows the central place fractals have gained in mathematics and science in recent years.

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Description

From the contours of coastlines to the outlines of clouds, fractal shapes can be found regularly in nature. This Very Short Introduction explains the basic concepts, presents the 'new geometry' of fractals, explores its wide range of applications, and shows the central place fractals have gained in mathematics and science in recent years.

  • An essential topic of study for mathematics students
  • Looks at the historical roots of fractal theory
  • Explains the basic concepts of fractal geometry with the minimum of mathematics
  • Helps explain the concepts by illustrating a number of different fractals
  • Examines a wide range of the applications across the sciences, and in aspects of economics

About the Author(s)

Kenneth Falconer, Professor of Pure Mathematics, University of St Andrews

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).

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

Reviews

"Fractals: A Very Short Introduction is an obvious starting point for lay readers interested in fractals. It presents the key ideas and explains their context and significance, while introducing and using some very basic mathematics." - Danny Yee's Book Reviews

"a most enjoyable, 'short read'" - Institute of Mathematics

"[A] very well-written introduction to fractals for non-specialists ... Highly recommended." - CHOICE