The Beauty of Fractals: Six Different Views

doi:10.1017/CBO9780883859711

The Beauty of Fractals

Six Different Views

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The Beauty of Fractals includes six essays related to fractals, with perspectives different enough to give you a taste of the breadth of the subject. Each essay is self-contained and expository. Moreover, each of the essays is intended to be accessible to a broad audience that includes college teachers, high school teachers, advanced undergraduate students, and others who wish to learn or teach about topics in fractals that are not regularly in textbooks on fractals.

Fractals are beautiful and, as a consequence, there are oversize books that provide scores of pictures and little else. While the present volume includes pretty pictures, especially in the first chapter/paper, it emphasizes the mathematical beauty of fractals. The background expected of the reader varies from paper to paper, but is generally that of an undergraduate mathematics major. Summing up: Recommended. Lower-division undergraduates through professionals

C. Bauer Source: CHOICE Magazine

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The Beauty of Fractals

Six Different Views

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Contents

Frontmatter
pp i-vi

Preface
pp vii-viii

Contents
pp ix-x

1 - Mathscapes–Fractal Scenery
pp 1-22

2 - Chaos, Fractals, and Tom Stoppard's Arcadia
pp 23-34

3 - Excursions Through a Forest of Golden Fractal Trees
pp 35-50

4 - Exploring Fractal Dimension, Area, and Volume
pp 51-62

5 - Points in Sierpiński-like Fractals
pp 63-74

6 - Fractals in the 3-Body Problem Via Symplectic Integration
pp 75-94

About the Editors
pp 95-95

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