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Author: Claude Tricot
Publisher: Springer Science & Business Media
ISBN: 9783540655046
Category : Mathematics
Languages : fr
Pages : 412
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Book Description
Ce livre fait une revue de diverses techniques d'analyse des courbes planes, en vue des applications. Après une première partie sur les ensembles de mesure nulle sur la droite, une seconde traite des courbes "rectifiables" (de longueur finie), et une troisième, la plus importante, des courbes fractales. Cet ouvrage est destiné aux chercheurs en sciences expérimentales, et comporte un minimum de formalisme mathématique.
Author: Claude Tricot
Publisher: Springer Science & Business Media
ISBN: 9783540655046
Category : Mathematics
Languages : fr
Pages : 412
Get Book Here
Book Description
Ce livre fait une revue de diverses techniques d'analyse des courbes planes, en vue des applications. Après une première partie sur les ensembles de mesure nulle sur la droite, une seconde traite des courbes "rectifiables" (de longueur finie), et une troisième, la plus importante, des courbes fractales. Cet ouvrage est destiné aux chercheurs en sciences expérimentales, et comporte un minimum de formalisme mathématique.
Author: Claude Tricot
Publisher: Springer Science & Business Media
ISBN: 9780387940953
Category : Mathematics
Languages : en
Pages : 362
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Book Description
Written for mathematicians, engineers, and researchers in experimental science, as well as anyone interested in fractals, this book explains the geometrical and analytical properties of trajectories, aggregate contours, geographical coastlines, profiles of rough surfaces, and other curves of finite and fractal length. The approach is by way of precise definitions from which properties are deduced and applications and computational methods are derived. Written without the traditional heavy symbolism of mathematics texts, this book requires two years of calculus while also containing material appropriate for graduate coursework in curve analysis and/or fractal dimension.
Author: Guy Cherbit
Publisher: Elsevier Masson
ISBN:
Category : Fractals
Languages : fr
Pages : 378
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Book Description
Author: Benoit B. Mandelbrot
Publisher:
ISBN:
Category : Fractals
Languages : fr
Pages : 228
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Book Description
Prenant comme base certains objets dont la forme est très rugueuse, très poreuse ou très fragmentée, appelés fractals, l'auteur a conçu, développé et utilisé une nouvelle géométrie de la nature et du chaos. Le langage fractal a également un impact sur l'art populaire et les mathématiques pures. Cet ouvrage est le premier exposé de la géométrie fractale
Author: Jacques Levy Vehel
Publisher: Springer Science & Business Media
ISBN: 1447109953
Category : Technology & Engineering
Languages : en
Pages : 408
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Book Description
Fractal analysis research is expanding into a variety of engineering domains. The strong potential of this work is now beginning to be seen in important applications in real industrial situations. Recent research progress has already led to new developments in domains such as signal processing and chemical engineering, and the major advances in fractal theory that underlie such developments are detailed here. New domains of applications are also presented, among them environmental science and rough surface analysis. Sections include multifractal analysis, iterated function systems, random processes, network traffic analysis, fractals and waves, image compression, and applications in physics. Fractals in Engineering emphasizes the connection between fractal analysis research and applications to industry. It is an important volume that illustrates the scientific and industrial value of this exciting field.
Author: Alain Le Mehaute
Publisher: CRC Press
ISBN: 9780849377228
Category : Mathematics
Languages : en
Pages : 214
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Book Description
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.
Author: German A. Duarte
Publisher: transcript Verlag
ISBN: 3839428297
Category : Social Science
Languages : en
Pages : 397
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Book Description
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 existing between geometries and technology, and how it guided cognitive processes and thus the organization of narrative spaces. The author proposes a new approach for the study of media remarking that from Bacon's camera obscura to von Neumann's computers both geometries and technology strongly influenced the organization of narrative spaces, which acquired a fractal character.
Author: Patrice Abry
Publisher: John Wiley & Sons
ISBN: 1118622901
Category : Mathematics
Languages : en
Pages : 382
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Book Description
Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.
Author: Christoph Bandt
Publisher: Birkhäuser
ISBN: 3034878915
Category : Mathematics
Languages : en
Pages : 265
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Book Description
This up-to-date monograph, providing an up-to-date overview of the field of Hepatitis Prevention and Treatment, includes contributions from internationally recognized experts on viral hepatitis, and covers the current state of knowledge and practice regarding the molecular biology, immunology, biochemistry, pharmacology and clinical aspects of chronic HBV and HCV infection. The book provides the latest information, with sufficient background and discussion of the literature to benefit the newcomer to the field.
Author: Miroslav M Novak
Publisher: World Scientific
ISBN: 9814546062
Category :
Languages : en
Pages : 500
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Book Description
Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' approach has been extremely successful, there are phenomena of such complexity that one cannot simplify them without eliminating the problem itself. Recently, attention has turned to such problems in a wide variety of fields. This is in part due to the development of fractal geometry. Fractal geometry provides the mathematical tools for handling complexity. The present volume is a collection of papers that deal with the application of fractals in both traditional scientific disciplines and in applied fields. This volume shows the advance of our understanding of complex phenomena across a spectrum of disciplines. While these diverse fields work on very different problems, fractals provide a unifying formalism for approaching these problems.
