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Fractal Geometries Theory and Applications [Hardcover]

Alain Le Mehaute (Author)
5.0 out of 5 stars  See all reviews (1 customer review)


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Book Description

November 11, 1991 0849377226 978-0849377228
Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or disparate in a single theoretical framework, but it also promotes a return to graphical treatment, which had been almost completely banished from scientific thought in favor of analysis.

This book casts a new, lively light on scientific territories still not fully explored. It is designed for research workers, engineers, and experimentalists faced with problems of measure and action in heterogenous materials and environments. Several color plates illustrate the implications and consequences of this theory for most of the questions raised by the taking into consideration of time in a fractal space.

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Language Notes

Text: English (translation)
Original Language: French

Product Details

  • Hardcover: 200 pages
  • Publisher: CRC Press (November 11, 1991)
  • Language: English
  • ISBN-10: 0849377226
  • ISBN-13: 978-0849377228
  • Product Dimensions: 9.3 x 6.2 x 0.7 inches
  • Shipping Weight: 1 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,451,337 in Books (See Top 100 in Books)

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5.0 out of 5 stars Fractal Geometry: history and quirks, December 26, 2000
By A Customer
This review is from: Fractal Geometries Theory and Applications (Hardcover)
This introduction to fractal geometry first covers the history of fractals, both before and after Mandelbrot coined the term, and then explores the ways in which fractal geometry diverges from Euclidean geometry, including fractal dimension, morphogenesis, and measure uncertainty. A mathematical background is helpful, but not essential.
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Inside This Book (learn more)
First Sentence:
The aim of this chapter is to give the reader a short summary of the fundamentals of fractal geometry. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fractional derivation, generalised frequency, fractal medium, fractal interface, fractal media, fractal curve, scale laws, fractal dimension, fractal character, polygonal line, fractal object, fractal geometry
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Solid State Ionics, The Fractal Approach, Academic Press, Heterogeneous Chemistry, Les Fractales, Extended Abstract, Fractal Electrode, North Holland, The Fractional Calculus
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