Freeware:
1.
Numerical
Solutions
Functions and Equations
studies
functions 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 computations associated with real matrices, including solution
of linear systems of equations (even least squares solution of overdetermined
or inconsistent systems and solution by LU factors), matrix operations (add,
subtract, multiply), finding the determinant, 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 userspecified 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 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 userspecified 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 3D 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.
2.
Dynamic Solver
Dynamics Solver is a powerful tool to study differential equations, (continuous
and discrete) nonlinear dynamical systems, deterministic chaos, mechanics, etc.
For instance, You can draw phase space portraits (including an optional
direction field), Poincaré maps, Liapunov exponents, histograms, bifurcation
diagrams, attraction basins, etc. The results can be watched (in perspective or
not) from any direction and particular subspaces can be analyzed. It is also
able to draw complex mathematical figures, including many fractals.
3.
EigenMath
A computer algebra package that features bignum
arithmetic, symbolic arithmetic, calculus, tensors and graphs. Symbolic results
are displayed in a graphical form that approximates typeset math. Also included
is a scripting feature that can be used to create math and physics demos.
Several example scripts are included in the download, these can be used as
models for your own projects.
4.Grapher
Grapher is a program that generates interactive
graphs in any dimension. It is intended to be used as an educational tool for
both students and educators. However, it's many functions make it useful for a
number of other applications as well.
5.SGAC
2.0 SGAC 2.0 (Upgraded version from SGAC)
SGAC version 2.0 (Upgraded version from SGAC by
Rob Smith) is an Clanguage translation and extension of the original Pascal SGA
code presented in the book "Genetic algorithms in search, optimization, and
machine learning" by Goldberg (1989). In order to ease the readers from having
to write the code from scratch upon reading the book, several features,
translated based on the descriptions in the book, are added in this current
version. Flexibility and modularity are maintained throughout the code, and its
operation is essentially the same as that of the original Pascal version. A
concise and comprehensive user guide,together with several examples, are
included to provide an extensive introduction to the software, and a guide for
users in implementing it for different problems. Available also from:
http://skynet.ee.ic.ac.uk/software/ng/sgac20.zip
6.PrimoPDF
FREE PDF Converter  not a trial version. Print to PDF from virtually any
application Optimize PDF output for print or screen . No annoying popup ads 
no catch!. Highquality PDF creation
7.Office
Free
Complete Office Suite: You don't need Microsoft Office, but if you have
it already on your computer, EasyOffice will coexist without any problem. Has
many programs and features not found in Microsoft Office. Create PDF documents
and spreadsheets. Powerful EasyCalculator and full ZIP program. EasyMail with
artificial intelligence
Shareware:
1. Software for Neural Networks and Genetic
Algorithms
Neural Networks and genetic algorithms are
exciting technologies in the field of artificial intelligence. These
technologies have steadily changed the way we solve "realworld" problems in
science, engineering and economics. The company Neurodimensions,
www.nd.com has strong ties with the
worldrenowned Computational Neural Engineering Lab at the University of Florida
and they bring stateoftheart neural network technology to the marketplace.
