Difference between revisions of "Mathematics"

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m (General: Added an internal link to Gauss theorem)
m (General: Added an internal link.)
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*[[Gauss theorem]]
*[[Gauss theorem]]
*[[Green's theorem]]
*[[Green's theorem]]
*[[Lagrange multipliers]]
*[[Laplace's equation]]
*[[Laplace's equation]]
*[[Lee-Yang circle theorem]]
*[[Lee-Yang circle theorem]]

Revision as of 14:40, 5 March 2010

"Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also."
David Hilbert (excerpt from problem #6 of his lecture "Mathematical Problems", delivered before the Second International Congress of Mathematicians in Paris, 1900)

Here are details of mathematical tools that have applications in classical thermodynamics, statistical mechanics and computer simulation techniques.


Functions and distributions


Integrals and quadrature



Computer assisted mathematics

Packages Program or library Notes License
BLAS routines Basic Linear Algebra Subprograms free source
CGAL library Computational Geometry Algorithms Library free, Open Source
IMSL Numerical Libraries library
LAPACK routines Linear Algebra PACKage free source
ScaLAPACK library Scalable LAPACK free source
Maple program commercial
Mathematica program commercial
Math Kernel Library library
MATLAB program commercial
Maxima program free (General Public License)
NAG routines Numerical Algorithms Group commercial
Numerical Recipes routines
Octave program free (GNU)
QUADPACK routines free
SAGE program free (General Public License)
Scilab program free, Open Source

Interesting reading