Maple

TL;DR

• A computer algebra system used to perform symbolic mathematics and manipulate expressions.
• Provides commands for solving equations, simplifying expressions, and creating visualizations.
• Commonly used by students, educators, and researchers for mathematical computation and interactive technical applications.

Definition

Maple is a computer algebra system (CAS) used for solving mathematical problems, performing symbolic computations, and creating interactive technical applications. It supports a wide range of mathematical operations and provides a user-friendly interface.

Explanation

Maple’s core capability is symbolic computation: performing mathematical operations that involve variables and constants rather than only numeric evaluation. Typical tasks include solving equations, factoring polynomials, manipulating and simplifying expressions, and working with matrices, vectors, and other mathematical objects. Maple also includes tools for mathematical visualization (graphs and plots) and for formatting mathematical notation, enabling interactive technical applications in educational and research contexts.

Examples

Solving an equation

Enter the equation and solve it: eqn:=x^2 + 2x + 1 = 0;

Use the solve command: solve(eqn,x);

Maple returns the solutions, which in this case are -1 and -1.

The equation: $x^2 + 2x + 1 = 0$

Simplifying an expression

Enter the expression and simplify it: expr:=(x^2 + 1) * (x^2 - 1) + (x + 1) * (x - 1);

Use the simplify command: simplify(expr);

Maple returns the simplified expression: $2x^4 - 2$

Use cases

• Creating interactive technical applications.
• Solving equations and performing symbolic computations.
• Simplifying and manipulating mathematical expressions.
• Mathematical visualization (graphs and plots).
• Working with matrices, vectors, and other mathematical objects.
• Used by students, educators, and researchers.

Related terms

• Computer algebra system (CAS)
• Symbolic computation
• Mathematical visualization