Curves and fractal dimension (Book, 1995) []
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Curves and fractal dimension

Curves and fractal dimension

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

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
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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