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Comprehensive Mathematics


Maple includes over 5,000 computational functions covering virtually every area of mathematics, including:

  • Abstract Algebra
  • Algebra
  • Algebraic Curves
  • Calculus
  • Combinatorial Functions
  • Combinatorial Structures
  • Complex Arithmetic and Functions
  • Computational Geometry
  • Curve Fitting
  • Differential Algebra
  • Differential Equations
  • Differential Forms
  • Differential Geometry
  • Discrete and Integral Transforms
  • Dynamic Systems
  • Euclidean Geometry
  • Financial Mathematics
  • Fluid Properties
  • Gaussian Integers
  • Generating Functions
  • Graph Theory
  • Group Theory
  • Lie Symmetries
  • Linear Algebra
  • Linear Functional Systems of Equations
  • Linear Operators
  • Linear Programming
  • Linear Recurrence Equations
  • Logic
  • Numerical Approximations
  • Number Theory
  • Optimization
  • Orthogonal Polynomials
  • P-adic Numbers
  • Physics
  • Polynomials
  • Polynomial Systems
  • Q-Difference Equations
  • Rational Normal Forms
  • Real Domain Computations
  • Series Expansions
  • Scientific Constants
  • Scientific Error Analysis
  • Signal Processing
  • Special Functions
  • Statistics
  • Statistical Process Control
  • Symbolic-Numeric Algorithms for Polynomials
  • Tensors
  • Time Series Analysis
  • Tolerances
  • Transforms
  • Units and Dimensions
  • Variational Calculus
  • Vector Calculus

See the online help system for the full list of built-in packages and commands.

In addition, the MapleCloud provides easy access a rich collection of user packages that extends Maple’s abilities even further. This growing collection includes packages on:

  • Cluster Analysis
  • Encryption
  • Lattices
  • Nonlinear Model Predictive Control
  • Optimization
  • Orbitals
  • Orthogonal Series Expansions
  • Point Set Topology

Visit MapleCloud Packages to see the full, up-to-date list.

Demo Video: Extensive Collection of Built-in Mathematical Algorithms


Whether you need to do quick calculations, develop design sheets, or produce sophisticated high fidelity simulation models, Maple provides the mathematical breadth and depth to handle all your analytical needs. In this brief demonstration, you will see a sample of Maple’s mathematical abilities, with examples taken from a variety of fields.

Watch the video
Working with Data Sets in Maple

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