Line Search Methods (Mathematica Tutorial)

A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

Advanced Topics in Algebra (Mathematica Overview)

Complex Polynomial Systems Real Polynomial Systems Diophantine Polynomial Systems

Algebraic Calculations (Mathematica Overview)

Symbolic Computation Values for Symbols Transforming Algebraic Expressions

Numbers (Mathematica Overview)

Types of Numbers Complex Numbers Numeric Quantities

Numerical Operations on Data (Mathematica Overview)

Basic Statistics Descriptive Statistics Discrete Distributions

CycleGraph (Built-in Mathematica Symbol)

CycleGraph[n] gives the cycle graph with n vertices C_n.

HypercubeGraph (Built-in Mathematica Symbol)

HypercubeGraph[n] gives the n-dimensional hypercube graph Q_n.

Combinatorica (Combinatorica Package Tutorial)

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...

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 ...

Numerical Differential Equation ... (Numerical Differential Equation Analysis Package Tutorial)

The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...