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612-822-4611
Fractional Calculus for Skeptics II: Quantifying Roughness

Fractional Calculus for Skeptics II: Quantifying Roughness

Hardcover

Series: Fractional Order Thinking in Exploring the Frontiers of Stem

CalculusGeneral Mathematics

ISBN10: 1041171188
ISBN13: 9781041171188
Publisher: CRC Press
Published: Mar 25 2026
Pages: 150
Weight: 1.14
Height: 0.44 Width: 7.00 Depth: 10.00
Language: English

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.

Also from

West, Bruce J.

Also in

General Mathematics