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## Maxima/MATLAB/Mathematica

18 November 2020

Here are some works of computer softwares Maxima, MATLAB and Mathematica, and some notes on elementary topics.
• MATLAB is a commercial numerical analysis software widely used in the world except for Japan. This is a very important software for geometric tomography, and HC is now studying how to use it. Here are some examples of my outputs related with geometric tomography.
• Mathematica and Maple are commercial computer algebra systems widely used in the world including Japan.

• Maxima is a well-known free computer algebra system. Here are some maxima files and outputs used in my courses on calculus, linear algebra and etc.
• prime number theorem: wxmx, pdf
• RSA algorithm in cryptography: wxmx, pdf
• approximation of the base of the natural logarithm e: wxmx, pdf
• approximation of π: wxmx, pdf
• area of isoperimetric regular polygons: wxmx, pdf
• system of linear equations, determinant and inverse: wxmx, pdf
• eigenvalues, eigenvectors and normalization of square matrices: wxmx, pdf
• matrix exponentials of square matrices: wxmx, pdf
• LU factorization, QR factorization, singular value decomposition (SVD): wxmx, pdf
• l^p unit spheres on the plane: wxmx, pdf, mp4, YouTube
• differentiation, integration, Taylor's polynomial and quadrature: wxmx, pdf
• convergence and divergence of the Taylor series: wxmx, mp4, YouTube
• the graphs of some functions of two variables: wxmx, pdf 1, pdf 2
• successive integrations: wxmx, pdf
• planar vector fields and integral curves: wxmx, pdf
• complex numbers and residue: wxmx, pdf
• Fourier transform and Fourier series: wxmx, pdf, mp4, YouTube
• Gibbs phenomenon of Fourier series: wxmx, png 1, png 2, mp4, YouTube
• Weyl's equidistribution theorem: wxmx, png, mp4, YouTube

• Here are some notes on elementary topics in mathematics.