The Beauty of Fractals: Six Different Views

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Denny Gulick, Jon Scott
MAA, 2010 - Electronic books - 95 pages
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With the coming of the computer age, fractals have emerged to play a significant role in art images, scientific application and mathematical analysis. The Beauty of Fractals is in part an exploration of the nature of fractals, including examples which appear in art, and in part a close look at famous classical fractals and their close relatives. The final essay examines the relationship between fractals and differential equations. The essays that appear in The Beauty of Fractals contain perspectives different enough to give the reader an appreciation of the breadth of the subject. The essays are self-contained and expository, and are intended to be accessible to a broad audience that includes advanced undergraduate students and teachers at both university and secondary-school level. The book is also a useful complement to the material on fractals which can be found in textbooks.
 

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Contents

MathscapesFractal Scenery by Anne M Burns
1
Chaos Fractals and Tom Stoppards Arcadia by Robert L Devaney
23
Excursions Through a Forest of Golden Fractal Trees by T D Taylor
35
Exploring Fractal Dimension Area and Volume by Mary Ann Connors
51
Points in Sierpinskilike Fractals by Sandra Fillebrown Joseph Pizzica Vincent Russo and Scott Fillebrown
63
Fractals in the 3Body Problem Via Symplectic Integration by Daniel Hemberger and James A Walsh
75
About the Editors
95
NTE76back
96
Copyright

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About the author (2010)

Denny Gulick received his BA at Oberlin College, and his MA and Ph.D. at Yale University. He spent two years teaching at the University of Pennsylvania, until moving to the University of Maryland, where he has been since 1965. He is the organiser and chair of the Maryland Mathematics Group. He won the Kirwan Undergraduate Education Award in 2000.

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