The Beauty Of Fractals: Six Different Views (mathematical Association Of America Notes)

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. Mathscapes--fractal Scenery / Anne M. Burns -- Chaos, Fractals, And Tom Stoppard's Arcadia / Robert L. Devaney -- Excursions Through A Forest Of Golden Fractal Trees / T.d. Taylor -- Exploring Fractal Dimension, Area, And Volume / Mary Ann Connors -- Points In Sierpiński-like Fractals / Sandra Fillebrown [and Others] -- Fractals In The 3-body Problem Via Symplectic Integration / Daniel Hemberger, James A. Walsh. Edited By Denny Gulick And Jon Scott Includes Bibliographical References (p. 94). 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. Content: Mathscapes--fractal scenery / Anne M. Burns -- Chaos, fractals, and Tom Stoppard's Arcadia / Robert L. Devaney -- Excursions through a forest of golden fractal trees / T.D. Taylor -- Exploring fractal dimension, area, and volume / Mary Ann Connors -- Points in sierpiński-like fractals / Sandra Fillebrown [and others] -- Fractals in the 3-body problem via symplectic integration / Daniel Hemberger, James A. Walsh. Mathscapes--fractal scenery -- Anne M. Burns Chaos, fractals, and Tom Stoppard's Arcadia -- Robert L. Devaney Excursions through a forest of golden fractal trees -- T.D. Taylor Exploring fractal dimension, area, and volume -- Mary Ann Connors Points in sierpiński-like fractals -- Sandra Fillebrown, ... [et al.] Fractals in the 3-body problem via symplectic integration -- Daniel Hemberger, James A. Walsh