Let [italic]a([italic]m, [italic]n) denote the [italic]mth coefficient of the [italic]nth cyclotomic polynomial [capital Greek]Phi[subscript italic]n([italic]z), and let [italic]a([italic]m) = max[subscript italic]n [conditional event/restriction/such that] |[italic]a([italic]m,…
Introduction Automorphisms of the affine plane A partition on $\mathbb{C}[x, y]$ The geometry of the partition The action of Aut$(\mathbb{C}^2)$ on $\mathbb{C}[x, y]$ The moduli problem The moduli spaces Appendix A. Canonical orders Bibliography.
Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.
"Chebyshev polynomials are encountered in virtually every area of numerical analysis, and they hold particular importance in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynom…
"Chebyshev polynomials are encountered in virtually every area of numerical analysis, and they hold particular importance in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynom…
"Polynomial Completeness in Algebraic Systems provides a coherent presentation of the subject, including primality, functional completeness, and affine completeness, as well as their several variations and generalizations. The authors focus on the recently developed theory of af…
