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Description
Fractal Horizons is a practical guide to exploring the inexhaustible reservoir of magnificent shapes, images, and ideas associated with fractals. From art poster designs to educational tools, computer-generated fractal patterns' usage is booming. Fractal Horizons gives an account of the state of the art and speculates on advances in the future. Contributors explore the challenges of using fractals in education, art, music, fashion, chess, medicine,...
Author
Description
From the contours of coastlines to the outlines of clouds and the branching of trees, fractal shapes can be found everywhere in nature. Kenneth Falconer explains the basic concepts of fractal geometry which produced a revolution in the mathematical understanding of patterns in the twentieth century and explores a range of applications in science and of economics.
Author
Description
The authors present an unusual attempt to publicize the field of Complex Dynamics, an exciting mathematical discipline of respectable tradition that recently sprang into new life under the impact of modern computer graphics. Where previous generations of scientists had to develop their own inner eye to perceive the abstract aesthetics of their work, the astounding pictures assembled here invite the reader to share in a new mathematical experience,...
Author
Description
Reveals the extraordinary dimensions of new mathematical insights about the nature of physical reality; explores the powerful applications of these symmetry concepts in physics, chemistry, music, and the visual arts. Includes such areas as deterministic chaos and strange attractors, iterated mappings, nonlinear dynamics, Cayley trees, cellular automata, random fractals and related topics.
Author
Description
"Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With a CD-ROM and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art." "The book stresses an understanding of the mathematical background or relatively...
Author
Description
Fractals and chaos are currently generating excitement across various scientific and medical disciplines. Biomedical investigators, graduate students, and undergraduates are becoming increasingly interested in applying fractals and chaos (nonlinear dynamics) to a variety of problems in biology and medicine. This accessible text lucidly explains these concepts and illustrates their uses with examples from biomedical research. The author presents the...
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