The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

Background: Polynomial Systems Homotopy Continuation Projective Spaces Probability One Polynomials of One Variable Other Methods Isolated Solutions: Coefficient-Parameter Homotopy Polynomial Structures Case Studies Endpoint Estimation Checking Positive Dimensional Solution Sets: Some Concepts from Algebraic Geometry Basic Numerical Algebraic Geometry Cascading Through Embedded Systems The Numerical Irreducible Decomposition Intersection of Algebraic Sets.