| 書目名稱 | Fractal-Based Methods in Analysis | | 編輯 | Herb Kunze,Davide La Torre,Edward R. Vrscay | | 視頻video | http://file.papertrans.cn/348/347341/347341.mp4 | | 概述 | Extensive coverage of both the theory and the applications of IFS fractals.Unified presentation of almost 20 years of research literature, with new viewpoints and results which stimulate the reader an | | 圖書封面 |  | | 描述 | .The idea of modeling the behaviour of phenomena at multiple scales has become a useful tool in both pure and applied mathematics. Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscale objects; they very often describe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations and dynamical systems..?."Fractal-Based Methods in Analysis" draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of the chapters.? For each topic the theoretical framework is carefully explained using examples and applications..?.The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises.? This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course. The other chapters illustrate ma | | 出版日期 | Book 2012 | | 關(guān)鍵詞 | Fractals; Image and shape analysis; Inverse problems; Iterated function systems and self-similar object | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-1891-7 | | isbn_softcover | 978-1-4899-7374-0 | | isbn_ebook | 978-1-4614-1891-7 | | copyright | Springer Science+Business Media, LCC 2012 |
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