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Handbook of Visual, Experimental and Computational Mathematics

Edited by Bharath Sriraman ()

in Springer Books from Springer

Date: 2026
ISBN: 978-3-032-16368-4
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Chapters in this book:

Patterns, Pictures, and Predictions: Mapping Mathematical Worlds
Bharath Sriraman
Surveying Visualization of Information Patterns
Benjamín A. Itzá-Ortiz and Bharath Sriraman
Convolutional Neural Networks Applied to Modification of Images
Carlos I. Aguirre-Velez, José Antonio Arciniega-Nevárez and Eric Dolores-Cuenca
Discrete Representation of Cubical 2-Knots
Gabriela Hinojosa, Ana Baray and Juan Pablo Díaz
Fiber, a Software for Classification and Counting in Histological Images
Erika Elizabeth Rodriguez-Torres, Gonzalo Chávez-Fragoso, Enrique Vázquez-Mendoza, Cindy Xilonen Hinojosa-Rodríguez, Kenia López-García, Jorge Viveros-Rogel and Ismael Jiménez-Estrada
Forecasting Evolution: Mining for Predictability in the Unpredictable
Philip J. Gerrish, Ramiro Dominguez Aguilar and Alexandre Colato
Modeling Generalized Tonic-Clonic Seizures with Coupled FitzHugh Oscillators
Yessica Orozco and Pablo Padilla
Network Visualization: Graph Theory Meets Geometry, Topology, and Design
Enrique Hernández-Lemus and Hugo Tovar
Numerical Experiments and Visualization of Chaos
Felipe Contreras-Alcala and Alejandra Rosales-Lagarde
Quantitative Approaches in the Life Sciences
Eder Zavala and Moisés Santillán
Sandpiles
Carlos A. Alfaro and Criel Merino
Introduction to Visualization of Mathematics in the Viewpoint from Groups, Geometry, and Dynamics
Hyungryul Baik
Kleinian Groups from the Sphere at Infinity and Their Self-Joinings
Dongryul M. Kim
Gromov-Hyperbolic Graphs and Word-Hyperbolic Groups
Donggyun Seo
Entropies of Post-critically Finite Interval Maps
Chenxi Wu
Graphs and Surfaces: A Tale of Two Topologies
Sanghoon Kwak
Visual, Experimental, and Computational Approaches in Theoretical Mathematics: A Contemporary Perspective
Bharath Sriraman
The Rogers–Ramanujan Continued Fraction and the Icosahedron
Bruce Bartlett
Functional Dirichlet Series, Integral Representations of a Generalized Zeta Function, and Applications to Sustainability
Natanael Karjanto, Romano Emmanuelle and Bharath Sriraman
Quasiperiodic Tilings from Ptolemy’s Theorem as Applied to Regular Polygons
Peter Stampfli and Theo P. Schaad
Fractal Constructs: From the Classroom Blackboard to the Research Workbench
Stephen D. Casey, Richard Laurberg and Bharath Sriraman
Visualization of Spherical Harmonics in Peirce’s Quincuncial Projection
Björn Malte Schäfer
Shapes of Quantum States and Their Applications
Konrad Szymański
Revisiting the Notion of Integral: Calculus Versus Analysis
Ushangi Goginava, Farrukh Mukhamedov and Humberto Rafeiro
Linear Algebra: Multiple Perspectives with Notes on J. J. Sylvester
Ljiljana Arambašić and Bharath Sriraman
Light as a Dipole: A Tortoise and Hare Model
Karunakar Kothapalli, Andrew J. Simoson and Gideon A. Bezuidenhout
Hamilton’s General Quadratic Equation: Genesis and Modern Computation
Branko Sarić and Bharath Sriraman
Computational and Experimental Methods for Identifying Nonsensical Equations and Inequalities
Nenad Stojanović and Bharath Sriraman
Topological Data Analysis for Neural Time Series: Persistent Homology and Brain Dynamics
Johnathan Bush
Introduction to Analysis, Probability, and Topology Applied to Computational Mathematics, and Vice Versa
Eduardo S. Zeron and Bharath Sriraman
Potential Games in the Economics and Management of Pollution
Onésimo Hernández-Lerma and Héctor Jasso-Fuentes
A Repair Scheme for a Distributed Storage System Based on Multivariate Polynomials
Hiram H. López, Gretchen L. Matthews and Daniel Valvo
Computing the Degree of Black-Box Polynomials, with Applications
Eduardo S. Zeron and Jesús A. De Loera
The Computational Challenge of Constructing Cages and (k, g)-Graphs
Gabriela-Araujo Pardo, Jesús A. De Loera, Ana Paulina Figueroa, Adjani Gamma-Dessavre and Edgar Possani
Determinantal Ideals of Graphs
Carlos A. Alfaro, Juan Pablo Serrano and Ralihe R. Villagrán
Calculus of Variations, Maximum Principle, and Dynamic Programming for Supply Chain Optimal Control
Carlos E. López-Landeros, Ricardo Valenzuela-González, Elias Olivares-Benitez and Sergio Frausto-Hernández
Introduction to Experimental Mathematics
Scott B. Lindstrom
Computational Aspects of Totally Disconnected Locally Compact Groups
Michal Ferov, Stephan Tornier and George Willis
Experimental Mathematics and the Post-secondary Visualization Toolbox:toolbox Mathematics, History, and the Visual
Naomi Simone Borwein and Veselin Jungić
Data-Informed Modeling of the Formation, Persistence, and Evolution of Social Norms and Conventions
Mengbin Ye and Lorenzo Zino
Visualization of Convergence Behavior of a Generalized Newton Method and Levenberg–Marquardt Algorithm
Regina S. Burachik and C. Yalçın Kaya
Working Out Counterexamples in Convex Geometry
Vera Roshchina
Computational Mathematics in Music: Optimizing Frequency Modulation
Bishnu P. Lamichhane and Sachini Jayasooriya
Instance Space Analysis for Visualization of Algorithmic Trust
Kate Smith-Miles and Jeffrey Christiansen
Computational Convex Analysis
Tanmaya Karmarkar and Yves Lucet
Introduction to Data-Driven Sports Analytics
Diana Cheng and John B. Gonzalez
NFL Data Analytics and Predictions Using Machine Learning
Barry Husowitz, Mark Mixer and Steven Morrow
Using Markov Chains in Predictive Modeling of Sports
Amanda Harsy, Alyssa Hoofnagle, Megan Vesta, Harvey Campos-Chavez and Will deBolt
Scoring Streaks and Tactical Decisions Across Sports
Peter Staab and Rick Cleary
The Statistical Powers and Aptitudes of Different Analytic Regimes of Linear Regression Prediction Models in Athletics Performance and Beyond
Alexander Munson
Bump or Spike: An Analytical View Inside the Mind of a Collegiate Volleyball Team
Joshua Sasmor and Riley Rock
Data Analytics in Figure Skating Scoring
Diana Cheng, John B. Gonzalez, Janet Liu and Grace Stulman
Measuring Predictors of Winning in NCAA Basketball
Stella D. Tomasi, Banghee So and Austin Raymond
Using Data and Sports Equipment Technology to Predict Athletic Performance
Ryan Savitz, Andrew Bjorkelo, Helen Cooney, Oliver DiDonato, Caley Gee, Christopher Greve, Bo Wagonner and Jared Ward
What a Difference a Method Makes: Aggregating Rankings and Scores in Sports
Michael A. Jones and Jennifer M. Wilson
Data-Driven Modeling
Marcos A. Capistrán and Bharath Sriraman
Data-Driven Approach to Analysis of SIR (Susceptible-Infected-Removed/ Recovered)-Type Models: The Principle of Parsimony Applied to Epidemics Modeling in the Age of COVID-19
Leonid Kalachev, Erin L. Landguth and Jonathan Graham
MONOPOLI: A Customizable Model for Forecasting COVID-19 Around the World Using Alternative Nonpharmaceutical Intervention Policy Scenarios, Human Movement Data, and Regional Demographics
Christopher H. Arehart, Jay H. Arehart, Michael Z. David, Bernadino D’Amico, Emanuele Sozzi, Vanja Dukic and Francesco Pomponi
Mathematical Modeling and Wastewater-Based Epidemiology
J. Cricelio Montesinos-López, Maria L. Daza–Torres, Yury E. García and Miriam Nuño
Modeling the Influenza Virus Dynamics Within a Host
Roberto A. Saenz
Dynamical Survival Analysis for Epidemic Modeling
Grzegorz A. Rempała and Wasiur R. KhudaBukhsh
A Model of Dengue Transmission
Marcos A. Capistrán, Ignacio Barradas Bribiesca and Gladys E. Salcedo
Parameter Estimation and Forecasting for Biased Models
Miracle Amadi and Heikki Haario
Markov Decision Processes and Best Responses of Epidemic Models
Saul Diaz-Infante, David Gonzalez-Sanchez and Gabriel Salcedo-Varela
Retrospective Modeling of the Impact of Vaccination and Non-pharmaceutical Interventions on the COVID-19 Pandemic
Hugo Flores-Arguedas, José Ariel Camacho-Gutiérrez and Fernando Saldaña
Modern Statistical Modeling Techniques in Life Sciences
Vanja Dukic
Preparing for the Next Pandemic: Learning Lessons from the Recent Past
Bret D. Elderd, Tad Dallas, Grant Foster and Robert L. Richards
Learning Diffusion Coefficients, Kinetic Parameters, and the Number of Underlying States from a Multistate Diffusion Process: Robustness Results and Application to PDK1/PKC α $$\upalpha $$ Dynamics
Lewis R. Baker, Moshe T. Gordon, Brian P. Ziemba, Victoria Gershuny, Joseph J. Falke and David M. Bortz
Bias and Coverage Properties of the WENDy-IRLS Algorithm
Abhi Chawla, David M. Bortz and Vanja Dukic
Introduction to Uncertainty with Visual, Experimental, and Computational Considerations
Marcos A. Capistrán
Sample-Based Uncertainty Quantification for Inverse Problems with Poisson Data
Johnathan M. Bardsley
An Introduction to Neural Networks for Uncertainty Quantification in Epidemiological Models
Abel Palafox González, L. Leticia Ramírez-Ramírez, Román Zúñiga-Macías, Sergio Barajas-Oviedo and Ulises Uriostegui-Legorreta
Bayesian Inversion in Fractional Models for Cell Migration
Francisco J. Ariza-Hernandez, Jorge Sanchez-Ortiz, Erika González-Nava, Juan Carlos Najera-Tinoco, Martin P. Arciga-Alejandre and Eduardo Castañeda-Saucedo

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DOI: 10.1007/978-3-032-16368-4

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