Math equation solvers

Solutions in the following mathematical areas: Optimization/Minimization/Maximization, Linear Algebra, Quadrature/Integration, Partial Differential Equations, Approximation, Interpolation/Extrapolation, Roots and Zeroes, Nonlinear Functions, Special Functions, Differential Equations, Eigensystems, Random Numbers, Integral Equations, Spectrum Analysis, Statistics, Utility Functions, Matrix and Vector Mathematics.