by Kenneth Falconer
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Product Description
Classics on Fractals collects for the first time the papers on fractal geometry. This compendium is an invaluable reference for all researchers and students of fractal geometry. Of particular value are the 12 papers that have been translated into English for the first time. Commentary by Professor Edgar explains the context of each paper.
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 fractal geometry, probability, and measure theory, especially its application in functional analysis. --This text refers to the Paperback edition.
Classics on Fractals collects for the first time the papers on fractal geometry. This compendium is an invaluable reference for all researchers and students of fractal geometry. Of particular value are the 12 papers that have been translated into English for the first time. Commentary by Professor Edgar explains the context of each paper.
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 fractal geometry, probability, and measure theory, especially its application in functional analysis. --This text refers to the Paperback edition.
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First Sentence:
In the last half of the Nineteenth Century, mathematicians were beginning to realize that the notion of a function of a real variable was more complicated than had been thought. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
measurable point sets, interval polyhedra, retreat arc, rational height, nth operation, finite outer measure, arbitrary point set, subset homeomorphic, binary intervals, approach arc, infinitesimal order, dimensional number, curve filling, inner measure, inscribed cubes, fractional dimensions, topological dimension, dyadic system, neighborhood systems, outer measures Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fractal Geometry, London Math, Karl Menger, Mathematical Society, Reine Angew, Bernard Bolzano, Cambridge University Press, Felix Hausdorff, Helge von Koch, Paul Lévy, Cambridge Phil, Continuum Hypothesis, Georges de Rham, Second Edition, Classical Real Analysis, Comptes Rendus Acad, Hausdorff Measures, History of Mathematics, Men of Mathematics, Paul Levy New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In the last half of the Nineteenth Century, mathematicians were beginning to realize that the notion of a function of a real variable was more complicated than had been thought. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
measurable point sets, interval polyhedra, retreat arc, rational height, nth operation, finite outer measure, arbitrary point set, subset homeomorphic, binary intervals, approach arc, infinitesimal order, dimensional number, curve filling, inner measure, inscribed cubes, fractional dimensions, topological dimension, dyadic system, neighborhood systems, outer measures Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fractal Geometry, London Math, Karl Menger, Mathematical Society, Reine Angew, Bernard Bolzano, Cambridge University Press, Felix Hausdorff, Helge von Koch, Paul Lévy, Cambridge Phil, Continuum Hypothesis, Georges de Rham, Second Edition, Classical Real Analysis, Comptes Rendus Acad, Hausdorff Measures, History of Mathematics, Men of Mathematics, Paul Levy New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
See all 30 books this book cites
18
books
cite this book:
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- Fractal Geometry: Mathematical Foundations and Applications by Kenneth Falconer on 5 pages
- Introduction to Classical Real Analysis (Wadsworth & Brooks/Cole Mathematics Series) by Karl Stromberg on page 23, page 168, and page 243
- The Fractal Geometry of Nature by Benoit B. Mandelbrot on page 9, page 243, and page 362
- Hausdorff Measures (Cambridge Mathematical Library) by C. A. Rogers on page 73, page 100, and page 270
- A History of Mathematics, Second Edition by Carl B. Boyer on page 8, page 23, and page 100
See all 30 books this book cites
- Heaven's Fractal Net: Retrieving Lost Visions in the Humanities by William J. Jackson in Back Matter (1), and Back Matter (2)
- Fractal Dimensions for Poincare Recurrences, Volume 2 (Monograph Series on Nonlinear Science and Complexity) by Valentin Afraimovich in Back Matter (1), and Back Matter (2)
- Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools (Springer Series in Synergetics) by Didier Sornette in Back Matter (1), and Back Matter (2)
- Associative Functions: Triangular Norms And Copulas by Claudi Alsina in Back Matter
- Dynamics Of Complex Systems (Studies in Nonlinearity) by Yaneer Bar-yam in Front Matter
See all 18 books citing this book
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