Synopsis:
Fractals have recently become an important topic of discussion in such varied branches of science as mathematics, computer science, and physics. Accordingly, there is an interest in the mathematical underpinnings for a (yet to be realized) theory of fractals. Classics on Fractals collects for the first time the historic seminal papers on fractal geometry, dealing with such topics as non-differentiable functions, self-similarity, and fractional dimension. This compendium is an invaluable reference for all researchers and students of fractal geometry. Of particular value are the twelve papers that have never before been translated into English. Commentaries by Professor Edgar are included to aid the modern student of mathematics in reading the papers, and to place them in their historical perspective. The volume contains papers from the following notables: Cantor, Weierstrass, von Koch, Hausdorff, Caratheodory, Menger, Bouligand, Pontrjagin and Schnirelmann, Besicovitch, Ursell, Levy, Moran, Marstrand, Taylor, de Rahm, Kolmogorov and Tihomirov, Kiesswetter, and of course, Mandelbrot.
About the Author:
Gerald A. Edgar received his B.A. degree from the University of California, Santa Barbara, and his Ph.D. from Harvard University. He has taught at Northwestern University, and is presently Professor of Mathematics at the Ohio State University. His research interests include measure theory and its application in fractal geometry, probability, and functional analysis.
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