Mathematics and Algorithms (Mathematica Guide)

The world's largest integrated web of mathematical capabilities and algorithms

Linear Algebra (Mathematica Overview)

Constructing Matrices Getting and Setting Pieces of Matrices Scalars, Vectors, and Matrices

Numerical Operations on Functions (Mathematica Overview)

Arithmetic Numerical Mathematics in Mathematica The Uncertainties of Numerical Mathematics

Bernoulli Equations (Mathematica Tutorial)

A Bernoulli equation is a first-order equation of the form The problem of solving equations of this type was posed by James Bernoulli in 1695. A year later, in 1696, G. ...

Linear Higher-Order Equations with ... (Mathematica Tutorial)

A linear ODE with constant coefficients can be easily solved once the roots of the auxiliary equation (or characteristic equation) are known. Some examples of this type ...

Equations with Non-Rational Coefficients (Mathematica Tutorial)

The ODEs that arise in practical applications often have non-rational coefficients. In such cases, DSolve attempts to convert the equation into one with rational coefficients ...

Introduction to Unconstrained ... (Mathematica Tutorial)

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...

AiryBi (Built-in Mathematica Symbol)

AiryBi[z] gives the Airy function Bi(z).

BernoulliDistribution (Built-in Mathematica Symbol)

BernoulliDistribution[p] represents a Bernoulli distribution with probability parameter p.

Cosh (Built-in Mathematica Symbol)

Cosh[z] gives the hyperbolic cosine of z.