Introducing Fractals: A Graphic Guide by Nigel Lesmoir-Gordon
My rating: 5 of 5 stars
Fractal Geometry is a school of mathematics that contends with the kinds of shapes seen in nature, shapes which often appear irregular (at least on some scale,) but which are also frequently self-similar (i.e. the twig looks like the branch looks like the whole tree.) One problem that led to the discipline’s development was determining the distance of a coastline. The distance between measurements vastly alters the final measurement one gets. From the discipline’s origins in observation of the natural world and the problems found in nature, fractal geometry was put to use for problems in ecology, finance, technology, and art and music. The book touches upon this sprawl of the subject, as well as relating fractal geometry to Euclidian Geometry, Calculus, and theories of Chaos and Complexity.
This book offers a simple and cursory overview of the subject. A reader expecting to learn how to employ Fractal Geometry will come away disappointed, but one who just wants to know the kind of problems its useful for and get a basic and intuitive explanation of why it’s useful can gain a great deal from the book. As the subtitle suggests, the book is illustrated and the graphics are far more useful in this volume than in most of the “Graphic Guide” series. That probably comes as no surprise as the subject is inherently more visual than average.
If you’re starting from ground zero, I’d highly recommend this book. Those with a mathematical background may yearn for more depth.
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