This is the first book that focuses on practical algorithms for
polynomial inequality proving and discovering. It is a summary of
the work by the authors and their collaborators on automated
inequality proving and discovering in recent years. Besides brief
introduction to some classical results and related work in
corresponding chapters, the book mainly focuses on the algorithms
initiated by the authors and their collaborators, such as real root
counting, real root classification, improved CAD projection,
dimension-decreasing algorithm, difference substitution, and so on.
All the algorithms were rigorously proved and the implementations
are demonstrated by lots of examples in various backgrounds such as
algebra, geometry, biological science, and computer science.See
Press Release: A collection of practical algorithms for polynomial
inequality proving and discovering
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