Algorithms in Real Algebraic Geometry
- Author
- Saugata Basu, Richard Pollack, Marie-Françoise Roy
- Publication Year
- 2006
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
- Download Book Read book
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing.
Keywords: Mathematics and Statistics / Algorithms / Complexity / Geometry / Polynomial system solving /quantifier elimination / Real root counting / Roadmaps / Semi-algebraic set / Sets
