Fractional Calculus for Skeptics II: Quantifying Roughness - Couverture rigide

West, Bruce J.; Chen, Yangquan

 
9781041171188: Fractional Calculus for Skeptics II: Quantifying Roughness
Couverture rigide
ISBN 10 : 1041171188 ISBN 13 : 9781041171188
Editeur : CRC Press, 2026

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2026
Langue
anglais
ISBN 10 
1041171188
ISBN 13 
9781041171188
Reliure
Relié
Nombre de pages
184
Coordonnées du fabricant
CRC Press
https://www.routledge-ny.com

6000 BROKEN SOUND PARKWAY, NW SUITE 300
BOCA RATON
FL
33487
Etats-Unis
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne