Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics, V. 10)
Algorithms in Real Algebraic Geometry (Algorithms and Computation in Mathematics, V. 10) By Saugata Basu, Richard Pollack, Marie-Françoise Roy
2003 | 664 Pages | ISBN: 3540009736 | DJVU | 4 MB
2003 | 664 Pages | ISBN: 3540009736 | DJVU | 4 MB
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. The main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for ivaluable parts of it, to undergraduate students.