Read more
This Handbook examines the interaction of visual, computational and experimental approaches in modern mathematics through its interaction with data. Experimental mathematics made the first bold foray into using computational techniques to solve theoretical problems via data saturation and visualizations. Since computing power and powerful algorithms have changed the landscape of visualizing and doing mathematics, different sections of the book provide an access to data driven scenarios in contemporary society. These include data driven modeling in mathematical epidemiology; visualization of information patterns; climate science and ecology. Other sections include chapters which provide visualizations of abstract (theoretical) mathematics; and the application of mathematics in areas such as sports analytics. In this Handbook, the interaction of visualization, computation and experimental mathematics is covered with forays into problems at the intersection of biology, sports,epidemiology, physics, information theory and mathematics both pure and applied. The book is of interest to graduate students of mathematics, computer science, information theory and the sciences as well as university professors of these topics.
List of contents
Introduction to Experimental Mathematics.- Computational Aspects of Totally Disconnected Locally Compact Groups.- Experimental Mathematics and the Post-secondary Visualization Toolbox: Mathematics, History, and the Visual.- Data-Informed Modeling of the Formation, Persistence, and Evolution of Social Norms and Conventions.- Visualization of Convergence Behavior of a Generalized Newton Method and Levenberg–Marquardt Algorithm.- Working Out Counterexamples in Convex Geometry.- Computational Mathematics and Music: Optimising Frequency Modulation.- Instance Space Analysis for Visualization of Algorithmic Trust.- Computational Convex Analysis.
About the author
Bharath Sriraman
is a Professor of Mathematics at the University of Montana-Missoula working in the areas of cognition, creativity, mathematics and philosophy. In 2016, he was named the University of Montana Distinguished Scholar. Prof. Sriraman has held 40+ visiting professorships at institutions in Norway, Iceland, Sweden, Germany, Turkey, Iran, Malaysia, South Korea, Canada, South Africa, Colombia, and Argentina, which include two US Fulbright awards. To date, Prof. Sriraman has published more than 330 journal articles, book chapters, proceedings papers, and reference work entries, and served as the Editor of 33 volumes, in his areas of interest. He is the founder and Editor-in-Chief of The Mathematics Enthusiast, an independent, peer-reviewed, open-access international journal. In addition to editing and curating the Handbook of the History and Philosophy of Mathematical Practice, he previously served as the Editor-in-Chief of the Handbook of the Mathematics of the Arts and Sciences (Springer, 2021). In keeping with the adage
Omne Trium Perfectum
, his third Major Springer Reference Works Project is the Handbook of Visual, Experimental and Computational Mathematics: Bridges through Data in preparation for release in 2027. In his spare time, he is an amateur arborist.
Summary
This Handbook examines the interaction of visual, computational and experimental approaches in modern mathematics through its interaction with data. Experimental mathematics made the first bold foray into using computational techniques to solve theoretical problems via data saturation and visualizations. Since computing power and powerful algorithms have changed the landscape of visualizing and doing mathematics, different sections of the book provide an access to data driven scenarios in contemporary society. These include data driven modeling in mathematical epidemiology; visualization of information patterns; climate science and ecology. Other sections include chapters which provide visualizations of abstract (theoretical) mathematics; and the application of mathematics in areas such as sports analytics. In this Handbook, the interaction of visualization, computation and experimental mathematics is covered with forays into problems at the intersection of biology, sports, epidemiology, physics, information theory and mathematics both pure and applied. The book is of interest to graduate students of mathematics, computer science, information theory and the sciences as well as university professors of these topics.
Editorial Advisory Board
Alexander Schliep, Brandenburg Technical University Cottbus-Senftenberg, Germany
Andreas Daniel Matt, IMAGINARY gGmbH, Berlin, Germany
Antonio Araujo, Universidade Aberta, Portugal
Benjamin Itza-Ortiz, Universidad Autónoma del Estado de Hidalgo, Mexico
Harry R. Lewis, Harvard University, USA
Hyungrul Baik, KAIST, South Korea
Scott Lindstrom, Curtin University, Australia
Urban Larsson, IIT-B, Mumbai India
Vanja Dukic, University of Colorado-Boulder, USA
Xin-She Yang, Middlesex University London, England
