Numforge Documentation (v0.5.7)

Numforge (imported as numpyy) is a lightweight numerical analysis library designed for engineering students. It provides a high-level English API while maintaining a comprehensive French backend to assist with educational localizations.

Key Features:

• Floating point & Error Analysis: IEEE 754 exploration and precision loss demos.

• Interpolation: Lagrange, Newton, and Chebyshev nodes.

• Approximation: Least squares fitting and stability analysis.

• Numerical Calculus: Advanced integration (Simpson, Gauss-Legendre) and differentiation.

• ODE Solvers: Euler, Runge-Kutta, and multi-step methods.

• Educational Tools: Step-by-step mode and interactive explanations.

Modules:

• Floating Point & Errors
  • English API (Aliases)
  • Backend French API
  • Example: Analyzing Float Representation
• Interpolation
  • English API (Aliases)
  • Backend French API
  • Example: Newton Interpolation
• Approximation & Stability
  • English API (Aliases)
  • Backend French API
  • Example: Least Squares Fit
• Polynomials & Taylor Series
  • English API (Aliases)
  • Backend French API
  • Example: Horner’s Method
• Numerical Integration
  • English API (Aliases)
  • Backend French API
  • Example: Composite Simpson
• Numerical Differentiation
  • English API (Aliases)
  • Backend French API
  • Example: Centered Difference
• Ordinary Differential Equations
  • English API (Aliases)
  • Backend French API
  • Example: RK4 Solver
• Educational & Lab Tools
  • English API (Aliases)
  • Backend French API
  • Example: Lab Assistant
• Table Utilities
  • English API (Aliases)
  • Backend French API
  • Example: Divided Differences Table
• Plotting Helpers
  • English API (Aliases)
  • Backend French API
  • Example: Runge Phenomenon

Indices and tables

• Index

• Module Index

• Search Page