매스매티카 패키지 (Mathematica packages)

개요

• What Is a Mathematica Package?
• Eric Weisstein's MathWorld Packages

패키지의 실행

• https://twitter.com/#!/MathematicaTip/status/190836596457746432

추상대수

• Galois Field Package for Mathematica
• http://www.math.scar.utoronto.ca/C49/C49.html

선형대수

• http://carmine.se.edu/kfrinkle/PrinciplesOfLinearAlgebraWithMathematica/index.html

리군과 리대수

• SemisimpleLieAlg https://github.com/simonjtyler/SemisimpleLieAlg
• Nazarov, Anton. 2011. “Affine.m - Mathematica Package for Computations in Representation Theory of Finite-dimensional and Affine Lie Algebras.” arXiv:1107.4681 (July 23). doi:10.1016/j.cpc.2012.06.014. http://arxiv.org/abs/1107.4681.
• Computing ShortLex rewite rules with Mathematica

매듭이론

• The Mathematica Package KnotTheory`
• http://katlas.org/wiki/Using_the_LinKnot_package

미분기하학 & 상대론 텐서 계산

• Ricci : A Mathematica package for doing tensor calculations in differential geometry
• Riemannian Geometry & Tensor Calculus @ Mathematica
• http://www.xact.es/xTensor/index.html
• http://academic.reed.edu/physics/courses/Physics411/html/page1/page1.html

exterior algebra & Clifford algebra

• Exterior Differential Calculus and Symbolic Matrix Algebra @ Mathematica
• Clifford Algebra with Mathematics
• Grassmann Algebra: Exploring extended vector algebra with Mathematica

양자역학

• quantum 유튜브 http://www.youtube.com/watch?v=jhDzdZDPqXQ
• http://homepage.cem.itesm.mx/lgomez/quantum/
• http://reference.wolfram.com/legacy/v5_2/Demos/Notebooks/NewNotations.html
• SNEG – Mathematica package for symbolic calculations with second-quantization-operator expressions

Non Commutative Algebra Packages

STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology http://arxiv.org/abs/0801.1508

LsToLi: A Mathematica package for evaluating log-sine integrals

combinatorics

Combinatorial Software and Databases

A Mathematica Package for Studying Posets

Number theory calculator sites/tables