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Soft cover. Zustand: New. Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that straighten out under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as zooming in . This zooming-in process has its parallels in dynamics, and the varying scenery corresponds to the evolution of dynamical variables. The present monograph focuses on applications of one branch of dynamics ergodic theory to the geometry of fractals. Much attention is given to the all-important notion of fractal dimension, which is shown to be intimately related to the study of ergodic averages. It has been long known that dynamical systems serve as a rich source of fractal examples. The primary goal in this monograph is to demonstrate how the minute structure of fractals is unfolded when seen in the light of related dynamics. (jacket).
Sprache: Englisch
Verlag: American Mathematical Society, 2014
ISBN 10: 1470410346 ISBN 13: 9781470410346
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ISBN 10: 1470410346 ISBN 13: 9781470410346
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In den WarenkorbPaperback. Zustand: New. Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that ``straighten out'' under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as ``zooming in''. This zooming-in process has its parallels in dynamics, and the varying ``scenery'' corresponds to the evolution of dynamical variables. The present monograph focuses on applications of one branch of dynamics--ergodic theory--to the geometry of fractals. Much attention is given to the all-important notion of fractal dimension, which is shown to be intimately related to the study of ergodic averages. It has been long known that dynamical systems serve as a rich source of fractal examples. The primary goal in this monograph is to demonstrate how the minute structure of fractals is unfolded when seen in the light of related dynamics.
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ISBN 10: 1470410346 ISBN 13: 9781470410346
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ISBN 10: 1470410346 ISBN 13: 9781470410346
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Verlag: American Mathematical Society
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Zustand: New. Series: CBMS Regional Conference Series in Mathematics. Num Pages: 69 pages. BIC Classification: PBKJ; PBM; PBP. Category: (P) Professional & Vocational. Dimension: 254 x 178. . . 2014. Paperback. . . . . Books ship from the US and Ireland.
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Sprache: Englisch
Verlag: The Magnes Press / Hebrew University, Jerusalem, 1993
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Soft cover. Zustand: Very Good. 305 page softcover journal - many contributors, all original papers in the field of mathematical analysis in English and French. This issue is dedicated to the memory of Szolem Mandelbrojt. ISSN 0021-7670. No flaws - unmarked, tight and clean.
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Verlag: The Magnes Press / Hebrew University, Jerusalem, 1993
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Soft cover. Zustand: Very Good. 404 page softcover journal - many contributors - all original papers in the field of mathematical analysis in English and French. Volume LXI only. ISSN 0021-7670. No flaws - unmarked, tight and clean.
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Verlag: American Mathematical Society, US, 2014
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In den WarenkorbPaperback. Zustand: New. Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that ``straighten out'' under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as ``zooming in''. This zooming-in process has its parallels in dynamics, and the varying ``scenery'' corresponds to the evolution of dynamical variables. The present monograph focuses on applications of one branch of dynamics--ergodic theory--to the geometry of fractals. Much attention is given to the all-important notion of fractal dimension, which is shown to be intimately related to the study of ergodic averages. It has been long known that dynamical systems serve as a rich source of fractal examples. The primary goal in this monograph is to demonstrate how the minute structure of fractals is unfolded when seen in the light of related dynamics.
Sprache: Englisch
Verlag: American Mathematical Society, 2014
ISBN 10: 1470410346 ISBN 13: 9781470410346
Anbieter: Moe's Books, Berkeley, CA, USA
softcover. Zustand: very good. no jacket. Corners slightly scuffed.