11 edition of **Fractal geometries** found in the catalog.

- 274 Want to read
- 4 Currently reading

Published
**1991**
by CRC Press in Boca Raton
.

Written in English

- Fractals.

**Edition Notes**

Statement | Alain le Méhauté ; translated by Jack Howlett. |

Classifications | |
---|---|

LC Classifications | QA614.86 .L413 1991 |

The Physical Object | |

Pagination | ix, 181 p. : |

Number of Pages | 181 |

ID Numbers | |

Open Library | OL1540407M |

ISBN 10 | 0849377226 |

LC Control Number | 91019019 |

Discover Book Depository's huge selection of Fractal Geometry Books online. Free delivery worldwide on over 20 million titles. Fractal geometries were widely used in electromagnetics, specifically for antennas and frequency selective surfaces (FSS). The self-similarity of fractal geometry gives rise to a multiband response, whereas the space-filling nature of the fractal geometries makes it an efficient element in antenna and FSS unit cell miniaturization.

Being Human is the extraordinary new book that articulates a grand unified vision of reality through the Entheological Paradigm. Skillfully avoiding all speculation and metaphysics, Martin W. Ball, Ph.D., presents a concise explanation for the fundamental nature of reality as the fractal expression of a Unitary Energy Being (God)/5. The present book is intended to initiate a study of the characteristics of fractal apertures in waveguides, conducting screens and cavities. To perform a unified analysis of these entirely dissimilar problems, the “generalized network formulation of the aperture problems” by Mautz and Harrington was extended to multiple-aperture geometry.

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal Features of this Second Edition:The Riemann hypothesis is given a natural geometric reformulation in the. Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra. Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a.

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Within this book lies the legacy of a profound academic and perhaps the most rigorous and complete analysis of fractal geometries that has ever been created. It is a balanced look at fractal geometries that fills a niche for all levels of by: Fractal Geometries Theory and Applications 1st Edition by Alain Le Mehaute (Author) ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both work. Format: Hardcover.

Get this from a library. Fractal geometries. [Alain Le Méhauté] -- 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.

Addeddate Identifier FractalGeometry Identifier-ark ark://t4mk7c24c Ocr ABBYY FineReader Ppi Fractal geometry is a new way of looking at the world; we have been surrounded by natural patterns, unsuspected but easily recognized after only an hour's training. Introduction to Fractals and IFS is an introduction to some basic geometry of fractal sets, with emphasis on the Iterated Function System (IFS) formalism for generating fractals.

The magnum opus of a true genius. Within this book lies the legacy of a profound academic and perhaps the most rigorous and complete analysis of fractal geometries that has ever been created. It is a balanced look at fractal geometries that fills a niche for all levels of expertise/5(64).

COVID Resources. Reliable information about the coronavirus (COVID) is available from Fractal geometries book World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

A tale of two fractals. This book is devoted to a phenomenon of fractal sets, or simply fractals. Topics covered includes: Sierpinski gasket, Harmonic functions on Sierpinski gasket, Applications of generalized numerical systems, Apollonian Gasket, Arithmetic properties of Apollonian gaskets, Geometric and group-theoretic approach.

Fractal geometry in nature and architecture «Previous / Even the title of Mandelbrot’s book, The fractal geometry of nature” (), suggests ubiquity. If so, if fractal geometries can be found everywhere, how can they be incorporated into architecture. The key as well as the challenge of further architectural research within the.

Fractal Geometry, Complex Dimensions and Zeta Functions Geometry and Spectra of Fractal Strings. Authors (view affiliations) and used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra The unique viewpoint of this book culminates in the definition of fractality as the presence of.

Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated.

The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in /5(13). Purchase Fractal Geometry - 1st Edition. Print Book & E-Book. ISBNIf exactness and full description are required, non-fractal geometries 8For a discussion of the various kinds See Falconer, Fractal Geometry; Peitgen and Saupe, The Science of Fractal Images; and Mandelbrot, The Fractal Geometry of Nature.

9The concept of a detail is not primitive, and seems reducible to concepts of non-fractal by: years, fractal geometry is very new. Mandelbrot’s famous book “The Fractal Geometry of Nature” was pub-lished relatively recently, in Although conventional approaches based on Euclidean geometry can be well applied to describe regular geometries, it fails to describe the complex geometries.

Fractal analysis consists ofFile Size: KB. Various fractal geometries are characterized by the self-similarity and space-filling properties. The space-filling feature has been successfully applied to design multiband antenna structures for a wide variety of multifunction wireless systems.

On another hand, the second feature has proved its validity to produce miniaturized antennas and passive microwave circuits including the band Author: Hadi T. Ziboon, Jawad K. Ali. A fractal dimension is an index for characterizing fractal patterns or sets by quantifying their complexity as a ratio of the change in detail to the change in scale.: 1 Several types of fractal dimension can be measured theoretically and empirically ().

Fractal dimensions are used to characterize a broad spectrum of objects ranging from the abstract to practical phenomena. Fractal Geometries Introduction The end of the s saw the idea of fractal geometry spread into numerous areas of physics.

Indeed, the concept of fractal geometry, introduced by B. Mandelbrot, provides a solid framework for the analysis of natural phenomena in various scientific domains.

As Roger Pynn wrote in Nature, “If this opinion. Review Paper on Fractal Antenna Dhirender Singh1 Ankur Singhal2 French mathematician about 20 years ago in his book “The fractal geometry of Nature”.Names like G.

Cantor (), G. Peano (), D. Hilbert (), Helge von Koch (), fractal geometries that have been found from different. Robert Laurini, Derek Thompson, in Fundamentals of Spatial Information Systems, Creation of fractal objects.

Fractal geometry (Mandelbrot, ) is an attempt to synthesize various mathematical works at the turn of the twentieth word fractal implies properties as in fraction or fragmented; in essence fractal geometry has ideas of fragmentation and self.

Fractals suggest recursivity, infinity, and the repetition of a principle of order. They are digital pictures of the universe's continuous movement ignored by mankind during millennia.

This book investigates the relationship between geometries and technology and how it guides cognitive processes and therefore the organization of narrative spaces. Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

Key Features of this Second Edition: The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings Complex dimensions of a fractal string.

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 4/5(1).Aside from Mandelbrot's classic book "The Fractal Geometry of Nature", I picked up Roger Stevens book "Fractal Programming in C" at a used bookshop.