Fractional Calculus for Skeptics II
CRC Press (Verlag)
978-1-041-17118-8 (ISBN)
- Noch nicht erschienen (ca. März 2026)
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Building on the first volume's foundational work advocating a fractal/fractional calculus paradigm shift, this volume offers an in-depth exploration of the concept of “roughness,” drawing parallels to what Benoît B. Mandelbrot originally intended to call the “Science of Roughness.” The book introduces the novel concept of “body roughness” and demonstrates its practical applications through two case studies of “roughness-informed rehabilitation therapy” with closed-loop control systems. One study involves non-invasive, 40-Hz gamma-frequency sensory stimulation for Alzheimer's disease, and the other involves biologically variable ventilation using roughness-informed, closed-loop control. The four chapters are complemented by valuable appendices and essential chapter-end references, as well as insightful “take-home messages.”
This book will appeal to students, researchers, and professionals in STEM fields, including engineering, physics, biology, biomedicine, control engineering, rehabilitation, big data, and machine learning.
Bruce J. West, a Physics PhD from the University of Rochester 1970, was the Chief Scientist in Mathematical and Information Science at the Army Research Office of the US, 1999–2021. His awards include the Presidential Meritorious Rank Award 2012 (Obama) and the Presidential Distinguished Rank Award 2017 (Trump). YangQuan Chen, a Clarivate Highly Cited Researcher, earned his Ph.D. from Nanyang Technological University, Singapore, in 1998. He is a professor at the School of Engineering, University of California, Merced. His research interests include smart control engineering via digital twins and applied fractional calculus in STEM.
1. The Science of Roughness 2. The Rough Body Concepts 3. The Mathematics of Roughness 4. Roughness-Informed Rehabilitation Therapy 5. Rough Remarks on Complexity and Roughness
| Erscheint lt. Verlag | 17.3.2026 |
|---|---|
| Reihe/Serie | Fractional Order Thinking in Exploring the Frontiers of STEM |
| Zusatzinfo | 8 Tables, black and white; 20 Line drawings, black and white; 3 Halftones, black and white; 23 Illustrations, black and white |
| Verlagsort | London |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 1-041-17118-8 / 1041171188 |
| ISBN-13 | 978-1-041-17118-8 / 9781041171188 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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