Measure, topology, and fractal geometry

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Measure, topology, and fractal geometry / Gerald Edgar

版:: 2nd ed
資料種別:: 図書
出版情報:: New York : Springer, c2008
形態:: xv, 268 p., [8] p. of plates ; 25 cm
シリーズ名:: Undergraduate texts in mathematics <BA00018418>
著者名:: Edgar, Gerald A., 1949- <DA03800116>
ISBN:: 9780387747484 [0387747486]
書誌ID:: BA8440374X

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Measure, topology, and fractal geometry (: us ; : gw)
Gerald A. Edgar , Springer-Verlag , c1990

書誌詳細

注記:

Includes bibliographical references (p. 257-259) and index

主題:

Fractals; Measure theory; Topology

言語:

英語

目次情報:

Fractal Examples / 1：

The Triadic Cantor Dust / 1.1：

The Sierpinski Gasket / 1.2：

A Space of Strings / 1.3：

Turtle Graphics / 1.4：

Sets Defined Recursively / 1.5：

Number Systems / 1.6：

Remarks / 1.7：

Metric Topology / 2：

Metric Space / 2.1：

Metric Structures / 2.2：

Separable and Compact Spaces / 2.3：

Uniform Convergence / 2.4：

The Hausdorff Metric / 2.5：

Metrics for Strings / 2.6：

Topological Dimension / 2.7：

Zero-Dimensional Spaces / 3.1：

Covering Dimension / 3.2：

Two-Dimensional Euclidean Space / 3.3：

Inductive Dimension / 3.4：

Self-Similarity / 3.5：

Ratio Lists / 4.1：

String Models / 4.2：

Graph Self-Similarity / 4.3：

Measure Theory / 4.4：

Lebesgue Measure / 5.1：

Method I / 5.2：

Two-Dimensional Lebesgue Measure / 5.3：

Metric Outer Measure / 5.4：

Measures for Strings / 5.5：

Fractal Dimension / 5.6：

Hausdorff Measure / 6.1：

Packing Measure / 6.2：

Examples / 6.3：

The Open Set Condition / 6.4：

Graph Open Set Condition / 6.6：

Other Fractal Dimensions / 6.8：

Additional Topics / 6.9：

Deconstruction / 7.1：

Self-Affine Sets / 7.2：

Self-Conformal / 7.3：

A Multifractal / 7.4：

A Superfractal / 7.5：

Appendix / 7.6：

Terms

Notation

Reading

References

Index

Fractal Examples / 1：

The Triadic Cantor Dust / 1.1：

The Sierpinski Gasket / 1.2：

A Space of Strings / 1.3：

Turtle Graphics / 1.4：

Sets Defined Recursively / 1.5：

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