Fractional Calculus for Skeptics II: Quantifying Roughness (Fractional Order Thinking in Exploring the Frontiers of STEM) - Tapa dura
Sinopsis
This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of “roughness” and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address.
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.
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Acerca del autor
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.
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Fractional Calculus for Skeptics II (Hardcover)
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Taylor & Francis Ltd, London, 2026
ISBN 10: 1041171188
ISBN 13: 9781041171188
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Hardcover. Condición: new. Hardcover. This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of roughness and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address.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 Benoit 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. This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of roughness and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781041171188
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Fractional Calculus for Skeptics II (Hardcover)
Publicado por
Taylor & Francis Ltd, London, 2026
ISBN 10: 1041171188
ISBN 13: 9781041171188
Nuevo
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Hardcover. Condición: new. Hardcover. This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of roughness and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address.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 Benoit 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. This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of roughness and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Nº de ref. del artículo: 9781041171188
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Fractional Calculus for Skeptics II : Quantifying Roughness
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