Software:
Linear Algebra
Functions
Ordinary Differential Equations
Systems of Nonlinear Equations
Multiple Integration
Maxima and Minima
Functions and Equations
Regression
Approximation & Interpolation
Stereographer
Math Miscellanea
Support Software
Numerical Methods:
Integration and
Differentiation
Solution of Equations
Maxima
and Minima
Approximation of Functions
Regression
Polynomial Regression
Fast
Fourier Transforms
Differential Equations
Linear Algebra Methods
Miscellaneous Procedures
Decimal
Comma/Decimal Point
Numerical Solutions
is a library of mathematical programs which currently contains the 8 collections described
below.
Click on any link to be taken to the download page of each collection.
Functions and Equations
studiesfunctions and
equations in one or more variables to
plot graphs, find roots, compute integrals (including multiple integrals), find derivatives
(including partial derivatives), find maxima and minima (even of multivariable
functions), solve nonlinear equations or systems of such (linear ones are better
solved by LINEAR ALGEBRA).
Linear
Algebra
performs
a wide variety of computations with real matrices, including solution of
linear systems of equations (even least squares solution of over-determined or
inconsistent systems and solution by LU factors), matrix operations (add,
subtract, multiply), finding the determinant,
trace, inverse, adjoint, QR or LU
factors, real eigenvalues and eigenvectors, establish the definiteness of a
symmetric matrix, perform scalar multiplication, transposition, shift, create
matrices of zeroes or ones, identity, symmetric or general matrices.
Ordinary Differential Equations solves linear or nonlinear differential equations and systems of such,
subject to boundary conditions or initial conditions which may also be linear or
nonlinear and may involve not only the unknown function but also its
derivatives.The solution will be a
finite power or trigonometric series, depending on the program.
Regression
fits user-
specified functionals to a given set of data points in one or more
independent variables, performing linear or nonlinear regressions.
Approximation and Interpolation approximates continuous or tabulated
single-variable
or multivariable functions by finite
power, trigonometric or mixed series.Continuous functions may be defined explicitly or by a linear/nonlinear
equation. Depending on the program and the user setups, the function may be
fitted exactly at user-specified grid points, or it may be fitted using Least
Squares methods/Fast Fourier Transform methods.
Stereographer
produces stereoscopic graphs, which most people are able to view without any
paraphernalia.True depth
perception is due to binocular vision, and the usual single view of a surface,
space curve or scatter diagram is unable to provide it, but the STEREOGRAPHER
does provide this interesting 3-D sensation.You can rotate and translate surfaces, graph partial derivatives, zoom in
or out, etc.Aside from functions
you enter directly, you can also stereograph the results of other collections
such as mixed series, regression surfaces and scatter diagrams
.
Support provides ways to study the solutions found by programs of other
collections.For instance, the Power Series and Trigonometric Series
programs may be used to study the solutions found by the programs of the
Differential Equations collection to find integrals, roots, maxima & minima,
derivatives.Even the multivariable
series produced by the Approximation and Interpolation collection can be studied
by support programs to compute multiple integrals, maxima & minima, partial
derivatives.
Math
Miscellanea is
an useful and interesting addition to the library: Prime factors, base
conversion, complex numbers, sorting, formulas for triangles and circles.
