Fractals, Random Shapes and Point Fields: Methods of Geometrical Statistics
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Overview
In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.
Synopsis
In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.
Booknews
Presents statistical analysis methods of geometric objects and structures for practical use by non-mathematicians, outlining the mathematical ideas rather than concentrating on detailed proofs. Introduces the theory of fractals and methods of measuring fractal dimensions, describes modern methods for the statistical analysis of random shapes, and presents an introduction to the statistical theory of point fields. Of interest to materials scientists, geologists, environmental scientists, and biologists. Annotation c. Book News, Inc., Portland, OR (booknews.com)