Mathematical Methods in Data Science introduces a new approach
based on network analysis to integrate big data into the framework
of ordinary and partial differential equations for data analysis
and prediction. The mathematics is accompanied with examples and
problems arising in data science to demonstrate advanced
mathematics, in particular, data-driven differential equations
used. Chapters also cover network analysis, ordinary and partial
differential equations based on recent published and unpublished
results. Finally, the book introduces a new approach based on
network analysis to integrate big data into the framework of
ordinary and partial differential equations for data analysis and
prediction. There are a number of books on mathematical methods in
data science. Currently, all these related books primarily focus on
linear algebra, optimization and statistical methods. However,
network analysis, ordinary and partial differential equation models
play an increasingly important role in data science. With the
availability of unprecedented amount of clinical, epidemiological
and social COVID-19 data, data-driven differential equation models
have become more useful for infection prediction and analysis.
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