RESOURCES ON LINE:

Everything in math.

http://www.wolfram.com/

http://www.wolframalpha.com/

http://integrals.wolfram.com/index.jsp

http://mathworld.wolfram.com/

http://functions.wolfram.com/

http://oeis.org/?language=spanish

AMS math subject classification:

http://www.ams.org/mathscinet/msc/msc2010.html

Software resources:

http://mathlab.cit.cornell.edu/math_software_resources/math_software_resources.html

http://www.math.fsu.edu/Virtual/

Math history:

http://www-groups.dcs.st-and.ac.uk/~history/Day_files/Now.html

http://www-groups.dcs.st-and.ac.uk/~history/index.html

Math societies and databases:

http://www.emis.de/

http://www.ams.org/mrlookup

Networks:

http://www.researchgate.net/

http://www.reisearch.eu/

Calendars:

http://www.fourmilab.ch/documents/calendar/

http://www.islamsa.org.za/calendar/converter.htm

http://www.staff.science.uu.nl/~gent0113/calendar/isocalendar.htm

http://bennyhills.fortunecity.com/elfman/454/calindex.html#TOP

Math HUMOR and Jokes (A very important section):

http://www.dctech.com/physics/humor_math.php

http://www.math.utah.edu/~cherk/mathjokes.html

http://www2.stetson.edu/~efriedma/mathhumor.html

http://www.google.es/search?q=math+humor&hl=es&rlz=1G1GGLQ_ESES363&prmd=imvns&tbm=isch&tbo=u&source=univ&sa=X&ei=UlgiT_aNEpK7hAeU57H5BA&ved=0CEoQsAQ&biw=1724&bih=938

http://www.allmath.com/Math_Humor.php

http://calculus.nipissingu.ca/jokes.html

http://www.tanyakhovanova.com/Jokes/jokes.html

http://home.adelphi.edu/~stemkoski/mathematrix/humor.html

http://www.pleacher.com/mp/mhumor/mhumor.html

Tutorials:

http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/

http://www.tug.org/twg/mactex/tutorials/ltxprimer-1.0.pdf

http://tobi.oetiker.ch/lshort/lshort.pdf

http://ece.uprm.edu/~caceros/latex/introduction.pdf

http://amath.colorado.edu/documentation/LaTeX/tutorial/

http://wiki.lyx.org/LyX/Tutorials

http://www.muylinux.com/2010/08/28/nuevo-tutorial-exprime-lyx-a-fondo/

http://www.texmacs.org/Tutorial/

http://www.csulb.edu/~woollett/mbe1intro.pdf

http://sites.google.com/site/guerrierimath/Home/computation-and-software/software/wxmaxima-tutorials

http://ws.apache.org/axiom/userguide/userguide.html

http://axiom-developer.org/axiom-website/bookvol1.pdf

http://www.sofa-framework.org/docs/vr09-time-integration.pdf

http://durian2.math.kobe-u.ac.jp/cdrom/icms2006/projects/texmacs/doc/texmacs-doc-pdf/tut-tutorial.en.pdf

http://www.linux-tutorial.info/

http://www.ee.surrey.ac.uk/Teaching/Unix/

http://www.fsid.cvut.cz/cz/U201/linux.html

Today's joke: After the constant C approaches infinity...

A mathematician is a device for turning coffee into theorems". It thus follows by duality that a comathematician is a device for turning cotheorems into ffee.

Very nice. Thank you for compiling this.

Really nice list. I perhaps should add http://www.wolframalpha.com/ as a free mathematical tool, you can access it in any web explorer and also on mobile devices (Android, iPhone).

RESOURCES ON LINE:

Everything in math.

http://www.wolfram.com/

http://www.wolframalpha.com/

http://integrals.wolfram.com/index.jsp

http://mathworld.wolfram.com/

http://functions.wolfram.com/

http://oeis.org/?language=spanish

AMS math subject classification:

http://www.ams.org/mathscinet/msc/msc2010.html

Software resources:

http://mathlab.cit.cornell.edu/math_software_resources/math_software_resources.html

http://www.math.fsu.edu/Virtual/

Math history:

http://www-groups.dcs.st-and.ac.uk/~history/Day_files/Now.html

http://www-groups.dcs.st-and.ac.uk/~history/index.html

Math societies and databases:

http://www.emis.de/

http://www.ams.org/mrlookup

Networks:

http://www.researchgate.net/

http://www.reisearch.eu/

Calendars:

http://www.fourmilab.ch/documents/calendar/

http://www.islamsa.org.za/calendar/converter.htm

http://www.staff.science.uu.nl/~gent0113/calendar/isocalendar.htm

http://bennyhills.fortunecity.com/elfman/454/calindex.html#TOP

Math HUMOR and Jokes (A very important section):

http://www.dctech.com/physics/humor_math.php

http://www.math.utah.edu/~cherk/mathjokes.html

http://www2.stetson.edu/~efriedma/mathhumor.html

http://www.google.es/search?q=math+humor&hl=es&rlz=1G1GGLQ_ESES363&prmd=imvns&tbm=isch&tbo=u&source=univ&sa=X&ei=UlgiT_aNEpK7hAeU57H5BA&ved=0CEoQsAQ&biw=1724&bih=938

http://www.allmath.com/Math_Humor.php

http://calculus.nipissingu.ca/jokes.html

http://www.tanyakhovanova.com/Jokes/jokes.html

http://home.adelphi.edu/~stemkoski/mathematrix/humor.html

http://www.pleacher.com/mp/mhumor/mhumor.html

Tutorials:

http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/

http://www.tug.org/twg/mactex/tutorials/ltxprimer-1.0.pdf

http://tobi.oetiker.ch/lshort/lshort.pdf

http://ece.uprm.edu/~caceros/latex/introduction.pdf

http://amath.colorado.edu/documentation/LaTeX/tutorial/

http://wiki.lyx.org/LyX/Tutorials

http://www.muylinux.com/2010/08/28/nuevo-tutorial-exprime-lyx-a-fondo/

http://www.texmacs.org/Tutorial/

http://www.csulb.edu/~woollett/mbe1intro.pdf

http://sites.google.com/site/guerrierimath/Home/computation-and-software/software/wxmaxima-tutorials

http://ws.apache.org/axiom/userguide/userguide.html

http://axiom-developer.org/axiom-website/bookvol1.pdf

http://www.sofa-framework.org/docs/vr09-time-integration.pdf

http://durian2.math.kobe-u.ac.jp/cdrom/icms2006/projects/texmacs/doc/texmacs-doc-pdf/tut-tutorial.en.pdf

http://www.linux-tutorial.info/

http://www.ee.surrey.ac.uk/Teaching/Unix/

http://www.fsid.cvut.cz/cz/U201/linux.html

Today's joke: After the constant C approaches infinity...

A mathematician is a device for turning coffee into theorems". It thus follows by duality that a comathematician is a device for turning cotheorems into ffee.

Freely downloadable math books.

General:

http://rinconmatematico.com/libros.htm

http://www.e-booksdirectory.com/mathematics.php

Algebra:

http://abstract.ups.edu/download/aata-original.pdf

http://www.math.byu.edu/~klkuttle/Linearalgebra.pdf

http://libros.fmbol.com/index.php?option=com_content&task=blogcategory&id=15&Itemid=28

http://shoup.net/ntb/ntb-v1.pdf

http://www.math.harvard.edu/~shlomo/docs/lie_algebras.pdf

http://www.mathematik.uni-muenchen.de/~renesse/AP09/hefferon.pdf

http://www.mathbook.com/Intermediate-Algebra-math-books.php

Categories

http://katmat.math.uni-bremen.de/acc/acc.pdf

http://math.ubbcluj.ro/~calu/Notes.pdf

Relativity:

http://www.alberteinstein.info/gallery/pdf/CP6Doc30_English_pp146-200.pdf

http://www.blau.itp.unibe.ch/lecturesGR.pdf

http://www.astrohandbook.com/ch10/general_relativity_thooft.pdf

http://filespart.com/g/grossman-algebra-lineal-pdf.html

Analysis:

http://maths.anu.edu.au/~rennie/Analysis-1.pdf

http://www.princeton.edu/~rvdb/506book/book.pdf

http://dangtuanhiep.files.wordpress.com/2008/09/principles_of_mathematical_analysis_walter_rudin.pdf

http://thepiratebay.org/torrent/4432613

http://math.uci.edu/~pli/lecture.pdf

http://math.berkeley.edu/~zworski/semiclassical.pdf

http://www.math.utah.edu/~schmitt/ode1.pdf

http://www.mit.edu/~9.520/spring10/Classes/mathcamp01.pdf

http://www.math.cornell.edu/~erin/undergrad/151/rudin.pdf

http://www.math.washington.edu/~marshall/math_534/Notes.pdf

Games:

http://www.math.ucla.edu/~tom/Game_Theory/intro.pdf

Ebooks:

http://nisearch.com/book-list/free-Mathematics-ebooks

Thanks for the information.

I want to add more information regarding math teaching and learning by http://studyplans.com/mathemat.htm

It is very useful for me. Thank you all the contributors..

Good. I also joined those whom say thank you. It is indeed very useful to me.

Do not invent the wheel.

There is a library that is great for all kinds of mathematical calculations written in Fortran and it can be gotten for free.

http://people.sc.fsu.edu/~jburkardt/f_src/slatec/slatec.html

Free software tutorials on line

http://www.freeprogrammingresources.com/tutorial.html

Thanks for the data.

Yet another resource list

Encyclopedia of Integer Sequences

http://oeis.org/?language=english

Math software resources.

http://mathlab.cit.cornell.edu/math_software_resources/math_software_resources.html

Computer algebra software

http://www.singular.uni-kl.de/

Dynamical systems

http://www.math.sunysb.edu/dynamics/

Peanut Software

http://math.exeter.edu/rparris/

Math functions

http://functions.wolfram.com/

On line resources.

http://www.univie.ac.at/future.media/moe/onlinewerkzeuge.html

the calculus page problems list :

http://www.math.ucdavis.edu/~kouba/ProblemsList.html

Thank you so much for the softwares.

To calculate distances between Earth locations.

http://www.timeanddate.com/worldclock/distance.html

Physical constants

http://physics.nist.gov/cuu/Constants/

http://hyperphysics.phy-astr.gsu.edu/hbase/tables/funcon.html

Astronomy on line

http://www.astronomynow.com/

Free scientific software

http://sourceforge.net/directory/science-engineering/

To insert math symbols in web pages you can download jsMath from

http://sourceforge.net/directory/science-engineering/mathematics/os%3Amac/?page=2

It interprets TeX code within your document and uses JavaScript, CSS and unicode fonts to typeset the resulting formulas. It works across multiple browsers and platforms, without MathML

A math formula editor, can be also downloaded from

http://sourceforge.net/directory/science-engineering/mathematics/os%3Amac/?page=4

could you please help me.. How to use the matlab software for computing Rescaled range analysis?

Can excellent & thank you

Http://ref.playsip.org/dmaths

['dmaths is adressed to people who regularly use the formula editor of openoffice.org, staroffice (maths students, teachers, etc) and neooffice']

Thanks for information

Math functions are great! Thanks

Don't forget about the Sage project!

http://www.sagemath.org/

It's a possible open source replacement for Mathematica+Maple+Matlab.

and don't forget these two CAS for polynomial computations:

- Singular

http://www.singular.uni-kl.de/

Singular is a computer algebra system for polynomial computations, with special emphasis on commutative and non-commutative algebra, algebraic geometry, and singularity theory.

-CoCoA (Computations in Commutative Algebra)

http://cocoa.dima.unige.it/

bye bye

You may also like to see ::

http://www.freewebs.com/profpartha/publications/foss4math.pdf

partha

Thank you all for information

http://www.freefem.org/ff++/

FreeFem++ is an implementation of a language dedicated to the finite element method. It enables you to solve Partial Differential Equations (PDE) easily.

Thank you for all the valauable information

Thanks to every one who is contributing valuable information here.

can we download an equivalent software for Mathematica from this?

http://www.sagemath.org/

In this web-site

www.mathics.org

one can download new software.

Mathics is a free, general-purpose online computer algebra system featuring Mathematica-compatible syntax and functions. It is backed by highly extensible Python code, relying on SymPy for most mathematical tasks and, optionally, Sage for more advanced stuff.

I'm a fan of Linux Mint, personally.

Dont forget http://coq.inria.fr/

Don't forget Netlib Repository at UTK and ORNL. Netlib is a collection of mathematical software, papers, and databases. See http://www.netlib.org/

Interesting is also the GNU Scientific Library (GSL). It "provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite" according to http://www.gnu.org/software/gsl/

Routines from GSL, Maxima, and other free math libs are often integrated with Sage (math), a kind of open-source alternative to Mathematica, Maple, and Matlab. See http://www.sagemath.org/ (compare also the Question of Kousalya Pappu). A survey on Sage is given in http://en.wikipedia.org/wiki/Sage_%28mathematics_software%29

It is compared to other computer algebra systems in

http://en.wikipedia.org/wiki/Comparison_of_computer_algebra_systems

A good starting point for further information on free mathematical software is Wikipedia, see http://en.wikipedia.org/wiki/Category:Free_mathematics_software and especially, for free computer algebra systems, http://en.wikipedia.org/wiki/Category:Free_computer_algebra_systems

Juan-Esteban Palomar Tarancon , so you are retired, maybe it's time to slow down a bit. All those references are a bit much to take in at one time.

Http://www.geogebra.org/cms/

Guide to Available Mathematical Software:

http://gams.nist.gov/

SAGE: http://www.sagemath.org/ would become equivalent to Mathematica - if Stephen Wolfram and his coworkers ceased working :).

Most of the software people mentioned here are not mathematical tools, even if mathematicians like and use them (Latex, OpenOffice etc.).

Very much useful information given here. May I share this on my web ?

Dear /Narendrakumar

The information in this thread is public. It is a good idea to share it.

There is a good editor/compiler for iPad users, namely, Tex wriiter.

A great mathematical library written in Fortran is slated.

http://www.netlib.org/slatec/

An interesting software is

http://cocoa.dima.unige.it/users.html

Do not confuse with cocoa programming language. It is a computation system in commutative algebra.

For Mac users there is a good LaTeX editor called latexian.

Thank you very much Sir, it a great help to us learners in the Academics line.

And what about spyder?

http://peterwittek.com/2013/08/spyder-closer-to-a-mathematica-alternative/

I have no personal experience but I trust P. Wittek...

@János: Spider is not a "math software" per se, but basically a front end for Python. But it is a good one. If you are a Mac person, you might want to try Canopy.

To solve differential equations, Madonna is called the fastest software.

http://www.berkeleymadonna.com/index.html

But... Madonna is not free!

Dear Andrei,

You are right. I did not know this important circumstance. However, this alternative is freeware

http://delaneyrm.com/SolveDiffEq.html

Reduce is a scalar, vector and matrix algebra system with arbitrary precision approximation.

http://reduce-algebra.sourceforge.net

Manual for Reduce

http://reduce-algebra.sourceforge.net/manual/manual-pdf.html

Program that solves numerically algebraic systems of non-linear, and linear, equations where one only has to write down the equations to obtain the results

http://code.google.com/p/engineeringsuite/

Highly interactive data analysis environment for large data sets. Free. Macintosh OS X,  Red Hat Enterprise Linux 3 and 4, Fedora Core 5, Windows.

http://www.slac.stanford.edu/grp/ek/hippodraw/index.html

Thanks a lot sir for the valuable information and online resources that you have listed in the discussion. It will of great help to all academicians in the domain.

SPSS

Predictive analytics software. Macintosh OS X, Linux, and Windows.

http://sourceforge.net/projects/brp-pacu/

Data Tool Program

Data Tool is a data analysis tool for plotting and fitting data from laboratory experiments, simulations, video analysis, or any other data set organized into columns. 

http://www.compadre.org/osp/items/detail.cfm?ID=7331

@ Juan

We all are thankful to you for providing us plentiful “free math software and tools” to solve our respective problems. Thank you again.

Sage is an extensive free and open source symbolic computer algebra, and scientific computing system based on Python. Can be run locally or through a nice interactive web interface at some server.

http://www.sagemath.org

@Juan-Esteban SPSS is very much non free. It is not only closed source but licenses are pretty expensive. Social scientists love it ( or rather they hate it, but they use it as everybody else in social science does), but if you are mathematically inclined you quickly get frustrated by its opaqueness and its interface that stimulates mindless clicking.

Dear Roger,

You are right. I apologize. I have confused the logo because the free version is PSPP instead of SPSS. You can get it at

http://www.gnu.org/software/pspp/

The Function Plotting and Data Fitting Model allows you to create customizable plots to interactively explore the properties of up to three functions at a time.  When you enter a function, adjustable parameters are automatically recognized, and sliders are created to vary the values of these parameters.

http://www.compadre.org/osp/items/detail.cfm?ID=11593

Some very nice math classes for arbitrary precision, complex matrices, and pseudo-random numbers. Macintosh OS X, Windows, and Linux.

http://delaneyrm.com/

Veusz is a GUI scientific plotting and graphing package. It is designed to produce publication-ready Postscript or PDF output.

http://home.gna.org/veusz/

Collection of mesh generation

http://www.robertschneiders.de/meshgeneration/software.html

CGAL

http://www.cgal.org/Manual/latest/doc_html/cgal_manual/packages.html#Pkg:Mesh_3

The General Purpose Math Visualizer Package performs mathematical tasks that are commonly encountered in physics: plotting, animating, numerically differentiating and integrating, and solving systems of coupled algebraic equations.

http://www.compadre.org/osp/items/detail.cfm?ID=11250

ROOT is an object-oriented program and library developed by CERN. It was originally designed for particle physics data analysis and contains several features specific to this field, but it is also used in other applications such as astronomy and data mining.

Supports Macintosh OS X, Linux, and Windows.

http://root.cern.ch/drupal/

KinetDS is a software for curve fitting particularly designed for kinetic (mechanistic and empirical) description of a substance dissolution from solid state. It was primarily designed for handling pharmaceutical dissolution tests.

http://sourceforge.net/projects/kinetds/

OpenOpt

Scientific/engineering software development using RAD abilities of Python language.

http://openopt.org/Welcome

Standard on OS X installs. See the links below for some lesser known features. Macintosh OS X only.

http://theputterer.wordpress.com/2011/10/17/mac-os-x-grapher-plotting-data-and-curve-fitting/

http://theputterer.wordpress.com/2011/09/25/mac-os-x-grapher-plotting-points-and-adding-extras/

http://theputterer.wordpress.com/2011/04/02/mac-os-x-grapher-using-parameters/

Open Source. This digitizing software tool converts an image file showing a graph or map, into numbers. The image file can come from a scanner, digital camera or screenshot. The numbers can be read on the screen, and written or copied to a spreadsheet. Macintosh OS X, UNIX, Linux, and Windows.

http://sourceforge.net/projects/digitizer/?source=navbar

Ptplot is a 2D data plotter and histogram tool implemented in Java. Ptplot can be used as a standalone applet or application, or it can be embedded in your own applet or application. Java.

http://ptolemy.eecs.berkeley.edu/java/ptplot/

FFT software. Macintosh OS X only.

http://sourceforge.net/projects/brp-pacu/

Ptplot is a 2D data plotter and histogram tool implemented in Java. Ptplot can be used as a standalone applet or application, or it can be embedded in your own applet or application. Java.

http://ptolemy.eecs.berkeley.edu/java/ptplot/

Springer's Encyclopedia of Mathematics is available online for free:

http://www.encyclopediaofmath.org/index.php/Main_Page

Free access to

a) (old and new) papers in French journals:

http://www.numdam.org/ and http://www.cedram.org/

b) many old papers via Project Euclid

http://projecteuclid.org/

c) plenty of math papers (especially those more than three years old) in Russian:

http://mathnet.ru

Mathematical preprints are nowadays mostly available on http://arxiv.org but there are also many scanned older preprints on the KEK library preprint server http://www-lib.kek.jp/KISS/kiss_prepri.html

Free and pay versions. Python based tools to perform rigorous data analysis and visualization for scientific applications. Macintosh OS X, Linux, and Windows.

https://www.enthought.com/products/epd/

eSuite

Program that solves numerically algebraic systems of non-linear, and linear, equations where one only has to write down the equations to obtain the results. Java.

http://code.google.com/p/engineeringsuite/

Free and pay versions. Same features as Enthought Python Distribution above and adds a new analysis environment for scientists, analysts and engineers. Macintosh OS X, Linux, and Windows.

https://www.enthought.com/products/canopy/

This is a compilation of Math, analysis, and visualization software that is compatible with Mac OS X.

Math IDE is a nice GUI for Octave, which can be found in the following link

http://sourceforge.net/projects/domainmath/

My favourite LaTeX Editor.

http://texstudio.sourceforge.net/

Free and pay versions. Python based tools to perform rigorous data analysis and visualization for scientific applications. Macintosh OS X, Linux, and Windows.

https://www.enthought.com/products/epd/

Berkeley Madonna is arguably the fastest, most convenient, general purpose differential equation solver available today. It is relatively inexpensive and runs on both Windows and Mac OS. Developed on the Berkeley campus under the sponsorship of NSF and NIH, it is currently used by academic and commercial institutions for constructing mathematical models for research and teaching.

http://www.berkeleymadonna.com/index.html

Berkeley Madonna is arguably the fastest, most convenient, general purpose differential equation solver available today. Macintosh OS X, Windows.

http://www.alelvisoftware.com/Expressions/Home.html

Ariam: your wikipedia R link does not work on my browser. Somehow the closing bracket gets lost.

I think Open Office is now superceded by LibreOffice

... and we must not forget Sage (computer algebra):

http://www.sagemath.org

REDUCE is a portable general-purpose computer algebra system

http://reduce-algebra.sourceforge.net

Hypercube is a tool for visualizing DOT (graphviz), GML, GraphML, GXL and simple text-based graph representations as SVG and EPS images. Macintosh OS X, UNIX, LINUX, and Windows.

http://sourceforge.net/projects/hypercubegraphv/

@Aria: neither one is free :-(

MathPiper is a new mathematics-oriented programming language which is simple enough to be learned as a first programming language and yet powerful enough to be useful in any science, mathematics, or engineering related career. MathPiper is also a Computer Algebra System (CAS) which is similar in function to the CAS which is included in the TI 89 and TI 92 calculators.

MathPiperIDE is an Integrated Development Environment (IDE) for MathPiper programming which includes powerful text editing and interactive graphics capabilities.

See its web site:

http://www.mathpiper.org

Qtiplot is a light, yet powerful software for Data Analysis

Here is the link

http://soft.proindependent.com/qtiplot.html