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Fractal Analysis Basic Concepts And Applications
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Download or read book Fractal Analysis written by Carlo Cattani and published by Advances in Mathematics for Ap. This book was released on 2022 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.
Book Synopsis Fractal Analysis: Basic Concepts And Applications by : Carlo Cattani
Download or read book Fractal Analysis: Basic Concepts And Applications written by Carlo Cattani and published by World Scientific. This book was released on 2022-02-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.
Book Synopsis Frontiers of Fractal Analysis by : Santo Banerjee
Download or read book Frontiers of Fractal Analysis written by Santo Banerjee and published by CRC Press. This book was released on 2024-10-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.
Book Synopsis Harmonic Analysis And Fractal Analysis Over Local Fields And Applications by : Weiyi Su
Download or read book Harmonic Analysis And Fractal Analysis Over Local Fields And Applications written by Weiyi Su and published by World Scientific. This book was released on 2017-08-17 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field.The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers.
Book Synopsis Fractal Market Analysis by : Edgar E. Peters
Download or read book Fractal Market Analysis written by Edgar E. Peters and published by John Wiley & Sons. This book was released on 1994-02-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A leading pioneer in the field offers practical applications of this innovative science. Peters describes complex concepts in an easy-to-follow manner for the non-mathematician. He uses fractals, rescaled range analysis and nonlinear dynamical models to explain behavior and understand price movements. These are specific tools employed by chaos scientists to map and measure physical and now, economic phenomena.
Book Synopsis Fractals in Engineering by : Jacques Lévy-Véhel
Download or read book Fractals in Engineering written by Jacques Lévy-Véhel and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of disciplines in and associated with the engineering field. The strong potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, internet traffic, physics and finance. Image processing continues to be a major field of application for fractal analysis and is well-represented here. It is important to note that the applications models are presented with a firm basis in theoretical argument, the qualitative observation of fractal phenomena no longer being sufficient. Consisting of papers written by a world-wide pool of experts, the multidisciplinary approach of this third volume will be of particular interest to industrial researchers and practitioners as well as to academics from many backgrounds. Fractals in Engineering: New Trends in Theory and Applications continues the publication of engineering-related research in fractal techniques begun in Fractals in Engineering and Fractals: Theory and Applications in Engineering (Springer London 1997 and 1999).
Book Synopsis Fractal Analysis by : Clifford Brown
Download or read book Fractal Analysis written by Clifford Brown and published by SAGE Publications. This book was released on 2010-04-14 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. This is the only book designed to introduce fractal analysis to a general social science audience.
Book Synopsis Wavelets and Fractals in Earth System Sciences by : E. Chandrasekhar
Download or read book Wavelets and Fractals in Earth System Sciences written by E. Chandrasekhar and published by Taylor & Francis. This book was released on 2013-11-20 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w
Book Synopsis Fractals: A Very Short Introduction by : Kenneth Falconer
Download or read book Fractals: A Very Short Introduction written by Kenneth Falconer and published by OUP Oxford. This book was released on 2013-09-26 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis Fractal Physiology by : James B Bassingthwaighte
Download or read book Fractal Physiology written by James B Bassingthwaighte and published by Springer. This book was released on 2013-05-27 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.
Book Synopsis System Analysis & Intelligent Computing by : Michael Zgurovsky
Download or read book System Analysis & Intelligent Computing written by Michael Zgurovsky and published by Springer Nature. This book was released on 2022-03-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the newest advances related to research and development of complex intellectual systems of various nature, acting under conditions of uncertainty and multifactor risks, intelligent systems for decision-making, high performance computing, state-of-the-art information technologies for needs of science, industry, economy, and environment. The most important problems of sustainable development and global threats estimation, forecast and foresight in tasks of planning and strategic decision-making are investigated. This monograph will be useful to researchers, post-graduates, and advanced students specializing in system analysis, decision-making, strategic planning or engineering design, fundamentals of computational Intelligence, artificial Intelligence systems based on hybrid neural networks, big data, and data mining.
Book Synopsis Fractals in Biology and Medicine by : Gabriele A. Losa
Download or read book Fractals in Biology and Medicine written by Gabriele A. Losa and published by Springer Science & Business Media. This book was released on 1994 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.
Book Synopsis The Fractal Geometry of the Brain by : Antonio Di Ieva
Download or read book The Fractal Geometry of the Brain written by Antonio Di Ieva and published by Springer Nature. This book was released on with total page 999 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International Encyclopedia of Geography, 15 Volume Set by : Noel Castree
Download or read book International Encyclopedia of Geography, 15 Volume Set written by Noel Castree and published by John Wiley & Sons. This book was released on 2017-03-20 with total page 8364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zweifelsohne das Referenzwerk zu diesem weitgefächerten und dynamischen Fachgebiet. The International Encyclopedia of Geograph ist das Ergebnis einer einmaligen Zusammenarbeit zwischen Wiley und der American Association of Geographers (AAG), beleuchtet und definiert Konzepte, Forschung und Techniken in der Geographie und zugehörigen Fachgebieten. Die Enzyklopädie ist als Online-Ausgabe und 15-bändige farbige Printversion erhältlich. Unter der Mitarbeit einer Gruppe von Experten aus aller Welt ist ein umfassender und fundierter Überblick über die Geographie in allen Erdteilen entstanden. - Enthält mehr als 1.000 Einträge zwischen 1.000 und 10.000 Wörtern, die verständlich in grundlegende Konzepte einführen, komplexe Themen erläutern und Informationen zu geographischen Gesellschaften aus aller Welt enthalten. - Entstanden unter der Mitarbeit von mehr als 900 Wissenschaftlern aus über 40 Ländern und bietet damit einen umfassenden und fundierten Überblick über die Geographie in allen Erdteilen. - Deckt das Fachgebiet umfassend ab und berücksichtigt auch die Richtungen Humangeographie, Physikalische Geographie, geographische Informationswissenschaften und -systeme, Erdwissenschaften und Umweltwissenschaften. - Führt interdisziplinäre Sichtweisen zu geographischen Themen und Verfahren zusammen, die auch für die Sozialwissenschaften, Geisteswissenschaften, Naturwissenschaften und Medizin von Interesse sind. - Printausgabe durchgängig in Farbe mit über 1.000 Illustrationen und Fotos. - Online-Ausgabe wird jährlich aktualisiert.
Book Synopsis Fractal Concepts in Condensed Matter Physics by : Tsuneyoshi Nakayama
Download or read book Fractal Concepts in Condensed Matter Physics written by Tsuneyoshi Nakayama and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.
Book Synopsis Intelligent Fractal-Based Image Analysis by : Soumya Ranjan Nayak
Download or read book Intelligent Fractal-Based Image Analysis written by Soumya Ranjan Nayak and published by Elsevier. This book was released on 2024-05-27 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals are infinite, complex patterns used in modeling physical and dynamic systems. Fractal theory research has increased across different fields of applications including engineering science, health science, and social science. Recent literature shows the vital role fractals play in digital image analysis, specifically in biomedical image processing. Fractal graphics is an interdisciplinary field that deals with how computers can be used to gain high-level understanding from digital images. Integrating artificial intelligence with fractal characteristics has resulted in new interdisciplinary research in the fields of pattern recognition and image processing analysis. Intelligent Fractal-Based Image Analysis: Application in Pattern Recognition and Machine Vision provides insights into the current strengths and weaknesses of different applications as well as research findings on fractal graphics in engineering and science applications. The book aims to improve the exchange of ideas and coherence between various core computing methods and highlight the relevance of related application areas for advanced as well as novice-user application. The book presents an in-depth look at core concepts, methodological aspects, and advanced feature opportunities, focusing on major real time applications in engineering science and health science. The book will appeal to researchers, data scientists, industry professionals, and graduate students in the fields of fractal graphics and its related applications. - Investigates advanced fractal theories spanning neural networks, fuzzy logic, machine learning, deep learning, and hybrid intelligent systems in solving pattern recognition problems - Explores the application of fractal theories to a wide range of medical image processing modalities - Presents case studies that illustrate the application and integration of fractal theories into intelligent computing in the resolution of important pattern recognition and machine vision problems
Book Synopsis Contributions to Morphometrics by : Leslie Floyd Marcus
Download or read book Contributions to Morphometrics written by Leslie Floyd Marcus and published by Editorial CSIC - CSIC Press. This book was released on 1993 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: