The NNJ Virtual Library: Chaos and Fractals

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Books listed Alphabetically by Author

Bovill, Carl. Fractal Geometry in Architecture and Design (Boston: Birkhauser, 1996; distributed by Springer-Verlag, New York). "My intention in this book was to explain the essence of fractal geometry to the design community. Many of the fractals can be drawn by hand and fractal rhythms for use in design can be derived from musical scores. This approach was taken to make the material more approachable. Much of the literature on fractal geometry is hidden behind computer programs or complex mathematical notation systems." (Comments by Carl Bovill, author.) Reviewed by Leonard K. Eaton in the NNJ vol. 1 (1999).

Ron Eglash. African Fractals: Modern Computing and Indigenous Design (New Brunswick, New Jersey: Rutgers University Press, 1999), 258 pp. Reviewed by Abdul Karim Bangura in the NNJ vol. 2 no. 4.

Field, Michael and Martin Golubitsky, Symmetry in Chaos: A Search for Pattern in Mathematics, Art and Nature (Oxford: Oxford University Press, 1992).

Field, Michael and Martin Golubitsky. Chaotische Symmetrien, Micha Lotrovsky, trans. (Basel: Birkhauser, 1993). German translation of Symmetry in Chaos.

Field, Michael and Martin Golubitsky. La Symetrie du Chaos, Christian Jeanmougin, trans. (Paris: Inter Editions, 1993). French translation of Symmetry in Chaos.

Gleick, James. Chaos: Making a New Science. (New York: Penguin Books, 1988. "Though I have heard this book criticized as oversimplified, I found it a very interesting introduction to chaos and fractals.The clear writing style is helpful, and more precise information may be gleaned from further reading" (Comments by Kim Williams).

Hastings, Harold, and George Sugihara. Fractals: A User's Guide for the Natural Sciences (New York: Oxford University Press, 1993). "This book has many different fractal analysis techniques defined with examples. Some of the examples demonstrate how to use fractal procedure with data sets that are not large. There are also some listed computer programs that can be used" (Comments by Carl Bovill, author of Fractal Geometry in Architecture and Design). Out of print.

Lauwerier, Hans. Fractals : Endlessly Repeated Geometrical Figures. Princeton Science Library, Sophia Gill-Hoffstadt, trans. (Princeton University Press, 1991). Referenced in Mikiten-Saligaros-Yu in the NNJ vol.2 no.2.

Mandelbrot, Benoit. The Fractal Geometry of Nature (New York: W.F. Freeman, 1983). "Mandelbrot is the person who brought together many diverse and strange areas of mathematics and explained and organized them as fractal geometry. Fractal is his term. This book is sometimes hard to follow, but wonderfully illustrated and fun to look and read through" (Comments by Carl Bovill, author of Fractal Geometry in Architecture and Design).

D. Peak and M. Frame, Chaos Under Control (New York: W.H. Freeman and Company, 1994). Referenced in Reza Sarhangi's article in the NNJ vol. 1 no. 3.

Peitgen, Heinz Otto, et al. Chaos and Fractals: New Frontiers of Science. (New York: Springer-Verlag, 1992). "This is by far the most understandable mathematical book on chaos and fractal geometry. The book covers a wide range of topics some of which are more difficult mathematically than others. This is an essential book if one wants to deepen his or her understanding" (Comments by Carl Bovill, author of Fractal Geometry in Architecture and Design).

Spinadel, Vera W. de. From the Golden Mean to Chaos (Buenos Aires: Vera W. de Spinadel, 1998). "This book...refers to relationships and connections between different fields of Mathematics and Physics, such as non-euclidian geometries, quantum mechanics, number theory, dynamical systems, fractals and multifractals, etc. Moreover, this book is addressed also to people with a moderate background in Mathematics who are interested in the cultural, historical and social aspects of the scientific problems involved" (Comments by Vera W. de Spinadel, author). To order a copy of this book, send an e-mail to Vera Spinadel.

Spinadel, Vera W. de, Jorge G. Perera and Jorge H. Perera. Geometria Fractal (Buenos Aires: Nueva Libreria, 1994). To order a copy of this book, send an e-mail to Vera Spinadel.