Mathematics

• Clebsch-Gordan coefficients
• Elliptic integrals
• Euler angles
• Fast Fourier transform
• Fourier analysis
• Gauss-Chebyshev quadrature
• Gauss-Legendre quadrature
• Green's theorem
• Legendre transform
• Linear algebra
• Padé approximants
• Perron-Frobenius theorem
• Power series
• Root finding
• Spherical harmonics
• Standard integrals
• Stirling's approximation
• Taylor expansion
• Wigner rotation matrices

Polynomials

• Chebyshev polynomials
• Laguerre polynomials
• Legendre polynomials

Functions and distributions

• Bessel functions
• Dirac delta distribution
• Gaussian distribution
• Heaviside step distribution
• Kronecker delta
• Ramp function

Computer assisted mathematics

• CGAL - Computational Geometry Algorithms Library
• LAPACK - Linear Algebra PACKage
• Maple
• Mathematica
• MATLAB
• NAG Numerical Algorithms Group
• Numerical Recipes
• Octave
• SAGE Open Source Mathematics Software
• ScaLAPACK