Mathematics in IronPython
Illustrates how to work with complex numbers using the DoubleComplex structure.
Illustrates how to use additional elementary functions.
Illustrates the basic use of the arbitrary precision classes: BigInteger, BigRational, BigFloat.
Illustrates working with prime numbers and the IntegerMath class in the Extreme.Mathematics namespace.
Illustrates how to compute the forward and inverse Fourier transform of a real or complex signal using classes in the Extreme.Mathematics.SignalProcessing namespace.
Illustrates how to write algorithms that are generic over the numerical type of the arguments.
Illustrates the basic numerical integration classes.
Illustrates more advanced numerical integration using the AdaptiveIntegrator class.
Higher Dimensional Numerical Integration
Illustrates numerical integration of functions in higher dimensions using classes in the Extreme.Mathematics.Calculus namespace.
Illustrates how to approximate the derivative of a function.
Illustrates integrating systems of ordinary differential equations (ODE's).
Illustrates the basic use of the Polynomial class .
Illustrates more advanced uses of the Polynomial class, including real and complex root finding, calculating least squares polynomials and polynomial arithmetic.
Illustrates the basic use of the ChebyshevSeries class .
Linear Curve Fitting
Illustrates how to fit linear combinations of curves to data using the LinearCurveFitter class and other classes in the Extreme.Mathematics.Curves namespace.
Nonlinear Curve Fitting
Illustrates nonlinear least squares curve fitting of predefined and user-defined curves using the NonlinearCurveFitter class.
Illustrates working with piecewise constant and piecewise linear curves using classes from the Extreme.Mathematics.Curves namespace.
Illustrates using natural and clamped cubic splines for interpolation using classes in the Extreme.Mathematics.LinearAlgebra namespace.
Newton-Raphson Equation Solver
Illustrates the use of the NewtonRaphsonSolver class for solving equations in one variable and related functions for numerical differentiation.
Root Bracketing Solvers
Illustrates the use of the root bracketing solvers for solving equations in one variable.
Illustrates the use of the NewtonRaphsonSystemSolver and DoglegSystemSolver classes for solving systems of nonlinear equations.
Optimization In One Dimension
Illustrates the use of the Brent and Golden Section optimizer classes in the Extreme.Mathematics.Optimization namespace for one-dimensional optimization.
Optimization In Multiple Dimensions
Illustrates the use of the multi-dimensional optimizer classes in the Extreme.Mathematics.Optimization namespace for optimization in multiple dimensions.
Illustrates solving linear programming (LP) problems using classes in the Extreme.Mathematics.Optimization.LinearProgramming namespace.
Mixed Integer Programming
Illustrates how to solve mixed integer programming by solving Sudoku puzzles using the linear programming solver.
Illustrates how to solve optimization problems a quadratic objective function and linear constraints using classes in the Extreme.Mathematics.Optimization namespace.
Illustrates solving nonlinear programs (optimization problems with linear or nonlinear constraints) using the NonlinearProgram and related classes.
Random Number Generators
Illustrates how to use specialized random number generator classes in the Extreme.Statistics.Random namespace.
Non-Uniform Random Numbers
Illustrates how to generate random numbers from a non-uniform distribution.
Illustrates how to generate quasi-random sequences like Fauré and Sobol sequences using classes in the Extreme.Statistics.Random namespace.