Making Power Series Expansions (Mathematica Tutorial)

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

Fourier (Built-in Mathematica Symbol)

Fourier[list] finds the discrete Fourier transform of a list of complex numbers.

Resultant (Built-in Mathematica Symbol)

Resultant[poly_1, poly_2, var] computes the resultant of the polynomials poly_1 and poly_2 with respect to the variable var. Resultant[poly_1, poly_2, var, Modulus -> p] ...

Newton's Method (Mathematica Tutorial)

One significant advantage Mathematica provides is that it can symbolically compute derivatives. This means that when you specify Method->"Newton" and the function is ...

Binomial (Built-in Mathematica Symbol)

Binomial[n, m] gives the binomial coefficient ( { {n}, {m} } ).

Factorial (Built-in Mathematica Symbol)

n! gives the factorial of n.

Numerical Solution of Boundary Value ... (Mathematica Tutorial)

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...

Specifying Derivatives (Mathematica Tutorial)

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

Data Formats in Wolfram|Alpha (Mathematica Tutorial)

In addition to its graphical results, Wolfram|Alpha can provide alternative representations that contain additional information or are well suited to particular tasks. These ...

ConvexHullArea (Computational Geometry Package Symbol)

ConvexHullArea[{{x_1, y_1}, ..., {x_n, y_n}}] gives the area of the convex hull of the bivariate data.