Curves and fractal dimension (Book, 1995) [WorldCat.org]
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Curves and fractal dimension

Author: Claude Tricot
Publisher: New York : Springer-Verlag, ©1995.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories,  Read more...

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Additional Physical Format: Online version:
Tricot, Claude.
Curves and fractal dimension.
New York : Springer-Verlag, ©1995
(OCoLC)810357686
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Claude Tricot
ISBN: 0387940952 9780387940953 3540940952 9783540940951
OCLC Number: 28183123
Description: xiv, 323 pages : illustrations ; 24 cm
Contents: Foreword / Michel Mendes France --
pt. I. Sets of Null Measure on the Line. 1. Perfect Sets and Their Measure. 2. Covers and Dimension. 3. Contiguous Intervals and Dimension --
pt. II. Rectifiable Curves. 4. What Is a Curve? 5. Polygonal Curves and Length. 6. Parameterized Curves, Support of a Measure. 7. Local Geometry of Rectifiable Curves. 8. Length, by Intersections with Straight Lines. 9. The Length by the Area of Centered Balls --
pt. III. Nonrectifiable Curves. 10. Curves of Infinite Length. 11. Fractal Curves. 12. Graphs of Nondifferentiable Functions. 13. Curves Constructed by Similarities. 14. Deviation, and Expansive Curves. 15. The Constant-Deviation Variable-Step Algorithm. 16. Scanning a Curve with Straight Lines. 17. Lateral Dimension of a Curve. 18. Dimensional Homogeneity --
pt. IV. Annexes, References and Index. A. Upper Limit and Lower Limit. B. Two Covering Lemmas. C. Convex Sets in the Plane.
Other Titles: Courbes et dimension fractale.
Responsibility: Claude Tricot ; with a foreword by Michel Mendès France.

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