An invitation to fractal geometry : fractal dimensions, self-similarity and fractal curves Michel L. Lapidus, Goran Radunović

Format:

Book

Author/Creator:

Lapidus, Michel L. (Michel Laurent), 1956- author.

Radunović, Goran, author.

Series:

Graduate Studies in Mathematics, v. 247

Language:

English

Subjects (All):

Fractals.

Physical Description:

1 online resource (pages cm.)

Place of Publication:

Providence, Rhode Island American Mathematical Society [2024]

System Details:

Mode of access : World Wide Web

Contents:

Introduction to concepts in fractal geometry Metric spaces and fixed point theorem Measure theory and integrals Iterated function systems and self-similarity Introduction to Hausdorff measure and dimension $\delta $-Approximate Hausdorff measures, via Carathéodory's theory Construction and properties of Hausdorff measure Minkowski content and Minkowski dimension Epilogue: A primer of fractal curves and their complex dimensions Upper and lower limits Carathéodory's approach to measure theory

Notes:

Includes bibliographical references and index

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2024

Description based on print version record

Other Format:

Print version: Lapidus, Michel L. 1956- invitation to fractal geometry :

ISBN:

9781470478964

Access Restriction:

Restricted for use by site license