The geometry of fractal sets
Kenneth J. Falconer
Reading Time
at 250 WPM2h 42m
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6
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162
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The geometry of fractal sets
Published
1985
Publisher
Cambridge University Press
Pages
162
ISBN-10
0521256941
Description
This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.
Subjects
Frequently Asked Questions
How many pages are in The geometry of fractal sets?
This edition of The geometry of fractal sets has approximately 162 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read The geometry of fractal sets?
For most readers, The geometry of fractal sets typically takes between 3h 23m and 2h 15m to complete. This is based on the book's length of approximately 40,500 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 2h 42m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 6 days • Estimated word count: 40,500 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of The geometry of fractal sets?
The estimated word count for The geometry of fractal sets is approximately 40,500 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of The geometry of fractal sets?
The geometry of fractal sets was written by Kenneth J. Falconer.
When was The geometry of fractal sets published?
The publication date for this specific edition is 1985. The original work may have been published on a different date.