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The Mathematics of Patterns, Symmetries, and Beauties in Nature

In Honor of John Adam

  • Book
  • © 2021

Overview

Editors:
  1. Bourama Toni

    1. Department of Mathematics, Howard University, Washington, DC, USA

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  • Features state-of-the-art, mathematically and scientifically diverse perspectives and descriptions
  • Addresses open fundamental questions in the quest for understanding the natural and physical world
  • Enriches readers’ mathematical grasp of nature’s beauty

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction: Nature and Its Mathematics

    • Bourama Toni
    Pages 1-3

  3. A Mathematical Model of Thermography with Application to Tungiasis Inflammation of the Skin

    • Ephraim Agyingi, Tamas Wiandt, Sophia Maggelakis
    Pages 5-14

  4. Mathematics of COVID-19

    • Eric P. Choate, Agida G. Manizade, Yuliya Petrova
    Pages 15-30

  5. Application and Modeling of a Tick-Killing Robot, TickBot

    • Alexis L. White, Holly D. Gaff
    Pages 31-57

  6. Simulations of Social Distancing Scenarios and Analysis of Strategies to Predict the Spread of COVID-19

    • Fran Sérgio Lobato, Gustavo B. Libotte, Gustavo M. Platt, Regina C. Almeida, Renato S. Silva, Sandra M. C. Malta
    Pages 59-77

  7. Mathematical Modelling of the Evolution Dynamics of the Coronavirus Disease 2019 (COVID-19) in Burkina Faso

    • Aboudramane Guiro, Blaise Koné, Stanislas Ouaro
    Pages 79-95

  8. Spatio-Temporal Modelling of Progression of the COVID–19 Pandemic

    • Dilini Gamage, Jennifer L. Matthews, Norou Diawara, Hueiwang Anna Jeng
    Pages 97-116

  9. Archimedean and Non-Archimedean Approaches to Mathematical Modeling

    • Bourama Toni
    Pages 117-142
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Keywords

About this book

This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations,  statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling;  thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. 


This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books. 

Editors and Affiliations

  • Department of Mathematics, Howard University, Washington, DC, USA

    Bourama Toni

About the editor

Bourama Toni is a Full Professor of Mathematics and Chair of the Department of Mathematics at Howard University, Washington, DC, USA. As the Founder and Editor of the Springer-published STEAM-H series, with a truly interdisciplinary profile, Dr. Toni’s research interests are primarily in Differential and Nonlinear Analysis and related topics such as Dynamical Systems, Non-Archimedean Analysis, Game Theory, Feedback Loops Analysis, and their applications to the biosciences, behavioral sciences and naval engineering, with an excellent track record of high-quality published research papers including contributed volumes with Springer. 

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