Mathematics: Difference between revisions
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Carl McBride (talk | contribs) m (→Functions and distributions: Added internal link to Gamma function) |
Carl McBride (talk | contribs) m (→Computer assisted mathematics: Added Maxima and Scilab) |
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*[[Mathematica]] | *[[Mathematica]] | ||
*[[MATLAB]] | *[[MATLAB]] | ||
*[[Maxima]] | |||
*[[NAG]] '''N'''umerical '''A'''lgorithms '''G'''roup | *[[NAG]] '''N'''umerical '''A'''lgorithms '''G'''roup | ||
*[[Numerical Recipes]] | *[[Numerical Recipes]] | ||
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*[[SAGE]] Open Source Mathematics Software | *[[SAGE]] Open Source Mathematics Software | ||
*[[ScaLAPACK]] | *[[ScaLAPACK]] | ||
*[[Scilab]] | |||
[[category: mathematics]] | [[category: mathematics]] | ||
Revision as of 17:00, 28 August 2008
Here are details of mathematical tools that have applications in classical thermodynamics, statistical mechanics and computer simulation techniques.
General
- Clebsch-Gordan coefficients
- Euler angles
- Green's theorem
- Laplace's equation
- Linear algebra
- Liouville's theorem
- Lyapunov exponents
- Padé approximants
- Perron-Frobenius theorem
- Poincaré theorem
- Power series
- Predictor-corrector methods
- Random numbers
- Root finding
- Runge-Kutta method
- Spherical harmonics
- Stirling's approximation
- Taylor expansion
- Wigner D-matrix
- Wigner rotation matrices
Functions and distributions
- Bessel functions
- Dirac delta distribution
- Gamma function
- Gaussian distribution
- Heaviside step distribution
- Kronecker delta
- Poisson distribution
- Ramp function
Geometry
Integrals and quadrature
- Standard integrals
- Elliptic integrals
- Newton-Cotes formulas
- Gauss-Chebyshev quadrature
- Gauss-Legendre quadrature