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分形分析 基本概念与应用 Fractal Analysis Basic Concepts And Applications 英文原版 Carlo Cattani



基本信息

Format Hardback | 244 pages

Dimensions 152.4 x 228.6 x 14.22mm | 494.42g

Publication date 21 Mar 2022

Publisher World Scientific Publishing Co Pte Ltd

Publication City/Country Singapore, Singapore

Language English

ISBN10 9811239436

ISBN13 9789811239434


书籍信息仅供参考,具体以实物为准




书籍简介


本书的目的是为分形分析的基础思想提供一个基本的、自成体系的介绍。书中说明了从真实数据集、真实的物理和自然现象以及不同领域的真实应用中发出的一些重要应用,因此,为读者提供了根据书中的逐步指南在其专业领域中实施分形分析的机会。 除了高级本科生、研究生和高级研究人员外,本书还可以为来自工业领域的科学家和研究人员提供服务,在这些领域中,需要对现实世界的现象和数据进行建模,如金融、医学、工程、运输、图像、信号等。对于理论家来说,严格的数学发展建立在前提条件下,使本书自成体系。对于经常对模型建立和分析感兴趣的实践者,我们提供了基石性的想法。


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.



作者简介



By (author) Carlo Cattani , By (author) Anouar Ben Mabrouk , By (author) Sabrine Arfaoui


卡洛-卡塔尼目前是托斯卡纳大学工程学院(DEIM)的数学物理和应用数学教授(Habil.)。他的科学兴趣包括但不限于小波、动态系统、分形、分形微积分、数值方法、数论、随机整数微分方程、竞争模型、时间序列分析、非线性分析、生命系统的复杂性、模式分析、计算生物学、生物物理学、科学史。他在际期刊上发表了150多篇科学文章和许多书籍。

Carlo Cattani is currently Professor (Habil.) of Mathematical Physics and Applied Mathematics at the Engineering School (DEIM) of University of Tuscia. His scientific interests include but are not limited to wavelets, dynamical systems, fractals, fractional calculus, numerical methods, number theory, stochastic integro-differential equations, competition models, time-series analysis, nonlinear analysis, complexity of living systems, pattern analysis, computational biology, biophysics, history of science. He is the author (and co-author) of more than 150 scientific articles on international journals and many books.

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