目次

1 Ordered Fields.- 2 Positive Polynomials and Sums of Squares.- 3 The Real Spectrum.- 4 Semialgebraic Geometry.- 5 The Archimedean Property.- 6 Positive Polynomials with Zeros.- 7 Sums of Squares on Projective Varieties.- 8 Sums of Squares and Optimization.- Appendix A: Commutative Algebra and Algebraic Geometry.- Appendix B: Convex Sets in Real Infinite-Dimensional Vector Spaces.