Automated Inequality Proving and Discovering Contributor(s): Xia, Bican (Author), Yang, Lu (Author) |
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ISBN: 9814759112 ISBN-13: 9789814759113 Publisher: World Scientific Publishing Company OUR PRICE: $117.80 Product Type: Hardcover Published: August 2016 |
Additional Information |
BISAC Categories: - Mathematics | Discrete Mathematics - Mathematics | Optimization - Mathematics | Geometry - General |
Physical Information: 0.9" H x 6.1" W x 9.1" (1.40 lbs) 344 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |