Algorithms in Real Algebraic Geometry [electronic resource] by Saugata Basu, Richard Pollack, Marie-Françoise Coste-Roy.

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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 frequent...

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Bibliographic Details
Uniform Title:Algorithms and Computation in Mathematics ; 10
Main Authors: Basu, Saugata (Author)
Pollack, Richard (Author)
Coste-Roy, Marie-Françoise (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edition:2nd ed. 2006.
Series:Algorithms and Computation in Mathematics ; 10
Subjects:
Algebraic geometry.
Algorithms.
Computer science—Mathematics.
Online Access:
Springer English/International eBooks 2006 - Full Set: 2006 (Springer Link)
Format: Electronic eBook
Contents:
  • Algebraically Closed Fields
  • Real Closed Fields
  • Semi-Algebraic Sets
  • Algebra
  • Decomposition of Semi-Algebraic Sets
  • Elements of Topology
  • Quantitative Semi-algebraic Geometry
  • Complexity of Basic Algorithms
  • Cauchy Index and Applications
  • Real Roots
  • Cylindrical Decomposition Algorithm
  • Polynomial System Solving
  • Existential Theory of the Reals
  • Quantifier Elimination
  • Computing Roadmaps and Connected Components of Algebraic Sets
  • Computing Roadmaps and Connected Components of Semi-algebraic Sets.