Home
Maxima/MATLAB/Mathematica
1 August 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 somputer 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
-
differentiation,
integration,
Taylor's polynomial and quadrature:
wxmx,
pdf
-
convergence and divergence of the Taylor series:
wxmx,
movie
-
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
-
Gibbs phenomenon of Fourier series:
wxmx,
png 1,
png 2,
movie
-
Weyl's equidistribution theorem:
wxmx,
png,
movie
-
Here are some notes on elementary topics in mathematics.