Ridge functions are a rich class of simple multivariate functions
which have found applications in a variety of areas. These include
partial differential equations (where they are sometimes termed
'plane waves'), computerised tomography, projection pursuit in the
analysis of large multivariate data sets, the MLP model in neural
networks, Waring's problem over linear forms, and approximation
theory. Ridge Functions is the first book devoted to studying them
as entities in and of themselves. The author describes their
central properties and provides a solid theoretical foundation for
researchers working in areas such as approximation or data science.
He also includes an extensive bibliography and discusses some of
the unresolved questions that may set the course for future
research in the field.
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